shallow zip-file copy from codec2 e9d726bf20

167 files changed, 50359 insertions, 0 deletions

diff --git a/octave/2400ab_frame_design.ods b/octave/2400ab_frame_design.ods
new file mode 100644
index 0000000..015fc6b
--- /dev/null
+++ b/octave/2400ab_frame_design.ods
diff --git a/octave/H2064_516_sparse.mat b/octave/H2064_516_sparse.mat
new file mode 100644
index 0000000..e684c2e
--- /dev/null
+++ b/octave/H2064_516_sparse.mat
@@ -0,0 +1,7231 @@
+# Created by Octave 3.8.1, Wed Mar 23 13:59:47 2016 ACDT <bill@hereford2>
+# name: HRA
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+
diff --git a/octave/HRA_112_112.txt b/octave/HRA_112_112.txt
new file mode 100644
index 0000000..e774640
--- /dev/null
+++ b/octave/HRA_112_112.txt
@@ -0,0 +1,119 @@
+# Created by Octave 3.8.1, Wed Mar 15 17:24:05 2017 ACDT <david@penetrator>
+# name: HRA_112_112
+# type: matrix
+# rows: 112
+# columns: 224
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diff --git a/octave/HRA_504_396.txt b/octave/HRA_504_396.txt
new file mode 100644
index 0000000..464ae61
--- /dev/null
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diff --git a/octave/HRA_56_28.txt b/octave/HRA_56_28.txt
new file mode 100644
index 0000000..ae76248
--- /dev/null
+++ b/octave/HRA_56_28.txt
@@ -0,0 +1,35 @@
+# Created by Octave 3.8.1, Wed Mar 15 18:20:20 2017 ACDT <david@penetrator>
+# name: HRA_56_28
+# type: matrix
+# rows: 28
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+
+
diff --git a/octave/H_4096_8192_3d.mat b/octave/H_4096_8192_3d.mat
new file mode 100644
index 0000000..89b0340
--- /dev/null
+++ b/octave/H_4096_8192_3d.mat
diff --git a/octave/Mat2Hrows.m b/octave/Mat2Hrows.m
new file mode 100644
index 0000000..6cbd1d5
--- /dev/null
+++ b/octave/Mat2Hrows.m
@@ -0,0 +1,28 @@
+function [Hrows Hcols] = Mat2Hrows(HRA, RAmode); 
+
+H = full(HRA); 
+[Nr Nc] = size(H);
+
+if nargin==1, RAmode = 1; end; 
+
+if RAmode==1
+   H= H(:,1:Nc-Nr); 
+   [Nr Nc] = size(H); 
+end 
+
+Max_colwt = max(sum(H));
+Max_rowwt = max(sum(H')); 
+Hcols = zeros(Nc, Max_colwt); 
+Hrows = zeros(Nr, Max_rowwt); 
+
+for i = 1:Nr
+    nz = find(H(i,:)); 
+    Hrows(i,1:length(nz)) = nz; 
+end
+
+H = H'; 
+for i = 1:Nc
+    nz = find(H(i,:)); 
+    Hcols(i,1:length(nz)) = nz; 
+end
+    
diff --git a/octave/apsk_ser.m b/octave/apsk_ser.m
new file mode 100644
index 0000000..c357a64
--- /dev/null
+++ b/octave/apsk_ser.m
@@ -0,0 +1,56 @@
+function [svec] = apsk_ser(Esvec, M)
+% Return approx (uncoded) SER for 16 or 32 APSK, or plot SERs if no args
+% USAGE apsk_ser();   OR   SERvec = apsk_ser(Esvec_dBs, M)
+% VK5DSP,  July 2020
+
+% Fit 3rd order polys to data in Figure 3 of
+% "Perf anal of APSK mod for DVB-S2 trans over nonlinear channels"
+% by Wonjin Sung et al;  
+% Published in Int. J. Satellite Communications Networking, 2009
+% (see Fig 1 for constellation diagrams and bit mappings)  
+
+% from the Figure data, we get 2 polynomials ... 
+%{
+Fig3_Es = [10  12.5 15 17.5 20 21];
+Fig3_16_SER = [2e-1 8e-2 2.5e-2 3e-3 1e-4 2e-5];
+Fig3_32_SER = [4e-1 2.8e-1   1.5e-1 4e-2 1e-2  4e-3  1.05e-5];
+
+p16 = polyfit(Fig3_Es, log10(Fig3_16_SER), 3)
+p32 = polyfit([Fig3_Es 25], log10(Fig3_32_SER), 3)
+%}
+
+p16 =  [-0.001816729857582   0.053322736530042  -0.653699203208837   2.315143765468362];
+p32 =  [-0.001418894437779   0.049903575028137  -0.669130206501662   2.743251206655785]; 
+
+if nargin==0
+    EStest = 10:21;
+    EStest2 = 10:25;
+    SER16 = polyval(p16, EStest);
+    SER32 = polyval(p32, EStest2);
+    figure(55);
+    semilogy(EStest,  10.^SER16,  'b', EStest2,  10.^SER32, 'g')
+    title('Approx Symb Error Rates for APSK')
+    xlabel('Es/N0  (dB)')
+    ylabel('SER');   grid on;
+    legend('16APSK','32APSK');   legend('boxoff')
+elseif nargin~=2,
+    error('usage is apsk_ser(Esvec, M)');
+    
+else
+    if (M~=16)&&(M~=32)
+        error('M must be 16 or 32')
+    end
+    if min(Esvec)<8,
+        error('Es/No values should be > 8 dB');
+    end
+    if (M==16) && (max(Esvec)>23),
+        error('Es/No values should be < 23 dB');
+    end
+    if (M==32) && (max(Esvec)>27),
+        error('Es/No values should be < 27 dB');
+    end
+    
+    if M==16, svec = 10.^polyval(p16, Esvec);  end
+    if M==32, svec = 10.^polyval(p32, Esvec);  end
+    
+end
diff --git a/octave/autotest.m b/octave/autotest.m
new file mode 100644
index 0000000..20fcb31
--- /dev/null
+++ b/octave/autotest.m
@@ -0,0 +1,119 @@
+% autotest.m
+% David Rowe Mar 2015
+%
+% Helper functions to plot output of C version and difference between Octave and C versions
+
+1;
+
+function stem_sig_and_error(plotnum, subplotnum, sig, error, titlestr, axisvec)
+  global no_plot_list;
+
+  if find(no_plot_list == plotnum)
+    return;
+  end
+  
+  figure(plotnum)
+  subplot(subplotnum)
+  stem(sig,'g;Octave version;');
+  hold on;
+  stem(error,'r;Octave - C version (hopefully 0);');
+  hold off;
+  if nargin == 6
+    axis(axisvec);
+  end
+  title(titlestr);
+endfunction
+
+
+function plot_sig_and_error(plotnum, subplotnum, sig, error, titlestr, axisvec)
+  global no_plot_list;
+
+  if find(no_plot_list == plotnum)
+    return;
+  end
+  
+  figure(plotnum)
+  subplot(subplotnum)
+  plot(sig,'g;Octave version;');
+  hold on;
+  plot(error,'r;Octave - C version (hopefully 0);');
+  hold off;
+  if nargin == 6
+    axis(axisvec);
+  end
+  title(titlestr);
+endfunction
+
+
+function pass = check(a, b, test_name, tol, its_an_angle = 0)
+  global passes;
+  global fails;
+
+  if nargin == 3
+    tol = 1E-3;
+  end
+
+  [m n] = size(a);
+  if m > n
+    ll = m;
+  else
+    ll = n;
+  end
+
+  printf("%s", test_name);
+  for i=1:(25-length(test_name))
+    printf(".");
+  end
+  printf(": ");  
+  
+  if its_an_angle
+    % take into account pi is close to -pi for angles in rads
+    e = sum(sum(abs(exp(j*a) - exp(j*b)))/ll);
+  else
+    e = sum(sum(abs(a - b))/ll);
+  end
+
+  if e < tol
+    printf("OK\n");
+    pass = true;
+    passes++;
+  else
+    printf("FAIL (%f)\n",e);
+    pass = false;
+    fails++;
+  end
+endfunction
+
+function pass = check_no_abs(a, b, test_name)
+  global passes;
+  global fails;
+
+  tol = 1E-3;
+
+  [m n] = size(a);
+  if m > n
+    ll = m;
+  else
+    ll = n;
+  end
+
+  printf("%s", test_name);
+  for i=1:(25-length(test_name))
+    printf(".");
+  end
+  printf(": ");  
+  
+  e = sum(sum(a - b)/ll);
+
+  if e < tol
+    pass = true;
+    printf("OK\n");
+    passes++;
+  else
+    pass = false;
+    printf("FAIL (%f)\n",e);
+    fails++;
+  end
+endfunction
+
+
diff --git a/octave/c2wideband_map b/octave/c2wideband_map
new file mode 100644
index 0000000..946aa19
--- /dev/null
+++ b/octave/c2wideband_map
@@ -0,0 +1,8 @@
+ 1.00000000e+00 3.00000000e+00 7.00000000e+00 8.00000000e+00 1.10000000e+01 1.50000000e+01 1.90000000e+01 2.60000000e+01 2.10000000e+01 2.40000000e+01 2.00000000e+01 3.00000000e+01 3.80000000e+01 4.80000000e+01 2.90000000e+01 3.20000000e+01 4.20000000e+01 6.40000000e+01 6.30000000e+01 5.40000000e+01 5.60000000e+01 5.00000000e+01 7.20000000e+01 9.10000000e+01 7.80000000e+01 6.70000000e+01 5.70000000e+01 7.00000000e+01 7.60000000e+01 1.04000000e+02
+ 2.00000000e+00 5.00000000e+00 1.20000000e+01 2.20000000e+01 2.30000000e+01 3.30000000e+01 3.10000000e+01 4.30000000e+01 3.40000000e+01 3.90000000e+01 4.40000000e+01 4.10000000e+01 4.90000000e+01 6.00000000e+01 5.10000000e+01 7.70000000e+01 9.70000000e+01 9.00000000e+01 1.14000000e+02 8.10000000e+01 1.21000000e+02 1.13000000e+02 8.00000000e+01 9.90000000e+01 1.18000000e+02 1.09000000e+02 8.90000000e+01 1.02000000e+02 1.07000000e+02 1.19000000e+02
+ 4.00000000e+00 9.00000000e+00 1.60000000e+01 2.70000000e+01 4.00000000e+01 4.50000000e+01 4.70000000e+01 5.50000000e+01 4.60000000e+01 6.10000000e+01 6.50000000e+01 6.60000000e+01 7.50000000e+01 8.30000000e+01 6.80000000e+01 1.06000000e+02 9.40000000e+01 1.27000000e+02 1.36000000e+02 1.38000000e+02 1.37000000e+02 1.41000000e+02 8.80000000e+01 1.50000000e+02 1.59000000e+02 1.47000000e+02 1.33000000e+02 1.28000000e+02 1.90000000e+02 1.31000000e+02
+ 6.00000000e+00 1.80000000e+01 2.80000000e+01 5.20000000e+01 8.40000000e+01 6.20000000e+01 7.30000000e+01 7.90000000e+01 7.10000000e+01 9.80000000e+01 8.50000000e+01 9.30000000e+01 8.70000000e+01 1.12000000e+02 1.15000000e+02 1.10000000e+02 1.29000000e+02 1.99000000e+02 1.42000000e+02 1.70000000e+02 2.18000000e+02 1.62000000e+02 1.74000000e+02 2.05000000e+02 1.43000000e+02 1.64000000e+02 1.72000000e+02 1.75000000e+02 2.02000000e+02 2.16000000e+02
+ 1.00000000e+01 2.50000000e+01 3.50000000e+01 6.90000000e+01 7.40000000e+01 9.20000000e+01 9.60000000e+01 1.35000000e+02 1.11000000e+02 1.56000000e+02 9.50000000e+01 1.05000000e+02 1.26000000e+02 1.34000000e+02 1.63000000e+02 2.15000000e+02 1.49000000e+02 1.48000000e+02 1.53000000e+02 2.28000000e+02 1.80000000e+02 2.30000000e+02 2.11000000e+02 2.13000000e+02 2.40000000e+02 2.24000000e+02 2.09000000e+02 2.22000000e+02 2.26000000e+02 1.73000000e+02
+ 1.30000000e+01 3.70000000e+01 5.30000000e+01 1.08000000e+02 8.60000000e+01 1.17000000e+02 1.03000000e+02 1.00000000e+02 1.24000000e+02 1.22000000e+02 2.01000000e+02 1.92000000e+02 2.03000000e+02 2.19000000e+02 1.91000000e+02 1.69000000e+02 2.20000000e+02 2.14000000e+02 1.39000000e+02 2.04000000e+02 2.36000000e+02 1.79000000e+02 1.81000000e+02 2.00000000e+02 1.93000000e+02 2.21000000e+02 2.35000000e+02 1.87000000e+02 2.08000000e+02 2.17000000e+02
+ 1.40000000e+01 3.60000000e+01 5.90000000e+01 1.16000000e+02 1.30000000e+02 1.78000000e+02 1.40000000e+02 1.32000000e+02 1.57000000e+02 1.52000000e+02 1.68000000e+02 1.60000000e+02 1.23000000e+02 1.97000000e+02 1.83000000e+02 2.34000000e+02 1.44000000e+02 2.23000000e+02 1.65000000e+02 1.67000000e+02 2.31000000e+02 1.96000000e+02 1.71000000e+02 2.33000000e+02 1.82000000e+02 2.25000000e+02 1.88000000e+02 2.37000000e+02 2.27000000e+02 2.10000000e+02
+ 1.70000000e+01 5.80000000e+01 8.20000000e+01 1.01000000e+02 1.20000000e+02 1.86000000e+02 1.46000000e+02 1.25000000e+02 1.51000000e+02 1.94000000e+02 1.61000000e+02 1.84000000e+02 1.58000000e+02 1.89000000e+02 1.77000000e+02 1.95000000e+02 1.45000000e+02 1.66000000e+02 2.06000000e+02 1.54000000e+02 1.98000000e+02 2.12000000e+02 2.38000000e+02 2.29000000e+02 1.85000000e+02 1.76000000e+02 2.39000000e+02 1.55000000e+02 2.07000000e+02 2.32000000e+02
diff --git a/octave/ch_fading.m b/octave/ch_fading.m
new file mode 100644
index 0000000..e462fab
--- /dev/null
+++ b/octave/ch_fading.m
@@ -0,0 +1,27 @@
+% ch_fading.m
+% David Rowe
+% April 2018
+
+% function to write float fading samples for use by C programs
+
+function ch_fading(raw_file_name, Fs, dopplerSpreadHz, len_samples)
+  randn('seed',1);
+  spread = doppler_spread(dopplerSpreadHz, Fs, len_samples);
+  spread_2ms = doppler_spread(dopplerSpreadHz, Fs, len_samples);
+  hf_gain = 1.0/sqrt(var(spread)+var(spread_2ms));
+  printf("hf_gain: %f\n", hf_gain);
+  
+  % interleave real imag samples
+
+  inter = zeros(1,len_samples*4);
+  inter(1:4) = hf_gain;
+  for i=1:len_samples
+    inter(i*4+1) = real(spread(i));
+    inter(i*4+2) = imag(spread(i));
+    inter(i*4+3) = real(spread_2ms(i));
+    inter(i*4+4) = imag(spread_2ms(i));
+  end
+  f = fopen(raw_file_name,"wb");
+  fwrite(f, inter, "float32");
+  fclose(f);
+endfunction
diff --git a/octave/channel_lib.m b/octave/channel_lib.m
new file mode 100644
index 0000000..6387d51
--- /dev/null
+++ b/octave/channel_lib.m
@@ -0,0 +1,72 @@
+% channel.m
+%
+% Commonly used channel simulation functions
+
+1;
+
+function [spread1 spread2 path_delay_samples] = channel_multipath(channel, Fs, Nsam)
+    % Winlink multipath definitions
+    if strcmp(channel, 'mpg')     dopplerSpreadHz = 0.1; path_delay_ms = 0.5;
+    elseif strcmp(channel, 'mpm') dopplerSpreadHz = 0.5; path_delay_ms = 1.0;
+    elseif strcmp(channel, 'mpp') dopplerSpreadHz = 1.0; path_delay_ms = 2.0;
+    elseif strcmp(channel, 'mpd') dopplerSpreadHz = 2.0; path_delay_ms = 4.0;
+    elseif strcmp(channel, 'mpf') dopplerSpreadHz = 4.0; path_delay_ms = 4.0;
+    elseif strcmp(channel, 'notch') dopplerSpreadHz = 0.0; path_delay_ms = 2.0;
+    elseif printf("Unknown multipath channel\n"); assert(0); end
+
+    path_delay_samples = path_delay_ms*Fs/1000;
+    %printf(" Doppler Spread: %3.2f Hz Path Delay: %3.2f ms %d samples\n", dopplerSpreadHz, path_delay_ms, path_delay_samples);
+
+    if strcmp(channel, "notch")
+      % simple notch filter (not time varying), hand tweaked to be 10dB down at about 1300 Hz (Fc-200Hz)
+      spread1 = 0.5*ones(1,Nsam);
+      spread2 = j*0.2*ones(1,Nsam);
+    else
+      % generate same fading pattern for every run
+      spread1 = doppler_spread(dopplerSpreadHz, Fs, Nsam);
+      spread2 = doppler_spread(dopplerSpreadHz, Fs, Nsam);
+    end
+    
+    % sometimes doppler_spread() doesn't return exactly the number of samples we need
+    if length(spread1) < Nsam
+      printf("not enough doppler spreading samples %d %d\n", length(spread1), Nsam);
+      assert(0);
+    end
+    if length(spread2) < Nsam
+      printf("not enough doppler spreading samples %d %d\n", length(spread2), Nsam);
+      assert(0);
+    end
+endfunction
+
+% returns real rx signal with noise added, input is complex tx signal
+function [rx_real rx sigma] = channel_simulate(Fs, SNR3kdB, freq_offset_Hz, channel, tx, verbose=0)
+  Nsam = length(tx);
+  rx = tx;
+
+  if strcmp(channel, 'awgn') == 0
+    [spread1 spread2 path_delay_samples] = channel_multipath(channel, Fs, Nsam);
+    rx  = tx(1:Nsam) .* spread1(1:Nsam);
+    rx += [zeros(1,path_delay_samples) tx(1:Nsam-path_delay_samples)] .* spread2(1:Nsam);
+  end
+
+  woffset = 2*pi*freq_offset_Hz/Fs;
+  rx = rx .* exp(j*woffset*(1:Nsam));
+
+  rx_real = real(rx); S = rx_real*rx_real';
+  rpapr = 10*log10(max(abs(rx_real).^2)/mean(abs(rx_real).^2));
+
+  % SNR in a 4k bandwidth will be lower than 3k as total noise power N is higher
+  SNR4kdB = SNR3kdB - 10*log10(Fs/2) + 10*log10(3000); SNR = 10^(SNR4kdB/10);
+  N = S/SNR; sigma = sqrt(N/Nsam);
+  n = sigma*randn(1,Nsam);
+  % printf("SNR3kdB: %f SNR4kdB: %f N: %f %f\n", SNR3kdB, SNR4kdB, N, n*n');
+  rx_real += n;
+  % check our sums are OK to within 0.25 dB
+  SNR4kdB_measured = 10*log10(S/(n*n')); 
+  assert (abs(SNR4kdB - SNR4kdB_measured) < 0.5);
+  if verbose
+    printf("foff: %3.1f Hz SNR(3k): %3.1f dB  ", freq_offset_Hz, SNR3kdB);
+    printf("measSNR3k: %3.2f dB N: %3.2f dB\n",
+           10*log10(S/(n*n')) + 10*log10(4000) - 10*log10(3000), 10*log10(n*n'));
+  end
+endfunction
diff --git a/octave/closed_quant_slope.m b/octave/closed_quant_slope.m
new file mode 100644
index 0000000..7d5a465
--- /dev/null
+++ b/octave/closed_quant_slope.m
@@ -0,0 +1,3 @@
+function b = closed_quant_slope(b)
+  b(1) = max(0.5, b(1));
+end
diff --git a/octave/cma.m b/octave/cma.m
new file mode 100644
index 0000000..a5a2195
--- /dev/null
+++ b/octave/cma.m
@@ -0,0 +1,114 @@
+% cma.m
+%
+% Constant modulus equaliser example from:
+%
+% http://dsp.stackexchange.com/questions/23540/matlab-proper-estimation-of-weights-and-how-to-calculate-mse-for-qpsk-signal-f
+%
+% Adapted to run bpsk and fsk signals
+
+    rand('seed',1);
+    randn('seed',1);
+
+    N = 5000;           % # symbols
+    h = [1 0 0 0 0 0 0.0 0.5];  % simulation of HF multipath channel impulse response
+    h = h/norm(h);
+    Le = 20;            % equalizer length
+    mu = 1E-3;          % step size
+    snr = 30;           % snr in dB
+    M = 10;             % oversample rate, e.g. Rs=400Hz at Fs=8000Hz
+
+    tx_type = "fsk";   % select modulation type here "bpsk" or "fsk"
+
+    if strcmp(tx_type, "bpsk")
+      s0 = round( rand(N,1) )*2 - 1;     % BPSK signal
+      s0M = zeros(N*M,1);                % oversampled BPSK signal
+      k = 1;
+      for i=1:M:N*M
+       s0M(i:i+M-1) = s0(k);
+        k ++;
+      end
+    end
+
+    if strcmp(tx_type, "fsk")
+      tx_bits = round(rand(1,N));
+
+      % continuous phase FSK modulator
+
+      w1 = pi/4;
+      w2 = pi/2;
+      tx_phase = 0;
+      tx = zeros(M*N,1);
+
+      for i=1:N
+        for k=1:M
+          if tx_bits(i)
+            tx_phase += w2;
+          else
+            tx_phase += w1;
+          end
+          tx((i-1)*M+k) = exp(j*tx_phase);
+        end
+      end
+
+      s0M = tx;
+    end
+
+    s = filter(h,1,s0M);                % filtered signal
+
+    % add Gaussian noise at desired snr
+
+    n = randn(N*M,1);
+    vs = var(s);
+    vn = vs*10^(-snr/10);
+    n = sqrt(vn)*n;
+    r = s + n;          % received signal
+
+    e = zeros(N*M,1);   % error
+    w = zeros(Le,1);    % equalizer coefficients
+    w(Le)=1;            % actual filter taps are flipud(w)!
+
+    yd = zeros(N*M,1);
+
+    for i = 1:N*M-Le,
+        x = r(i:Le+i-1);
+        y = w'*x;
+        yd(i)=y;
+        e(i) = abs(y).^2 - 1;
+        w = w - mu * e(i) * real(conj(y) * x);
+    end
+
+    np = 100;           % # sybmols to plot (last np will be plotted); np < N!
+
+    figure(1); clf;
+    %subplot(211), plot( 1:np, e(N-np+1-Le+1:N-Le+1).*e(N-np+1-Le+1:N-Le+1)), title('error')
+    subplot(211), plot(e.*e), title('error');
+    subplot(212), stem(conv(flipud(w),h)), title('equalized channel impulse response')
+
+    figure(2); clf;
+    subplot(311)
+    plot(1:np, s0M(N-np+1:N))
+    title('transmitted, received, and equalized signal')
+    subplot(312)
+    plot(1:np, r(N-np+1:N))
+    subplot(313)
+    plot(1:np, yd(N-np+1-Le+1:N-Le+1))
+
+    figure(3); clf;
+    h1 = freqz(h);
+    h2 = freqz(flipud(w));
+    h3 = freqz(conv(flipud(w),h));
+    subplot(311); plot(20*log10(abs(h1)));
+    title('channel, equaliser, combined freq resp')
+    subplot(312); plot(20*log10(abs(h2)));
+    subplot(313); plot(20*log10(abs(h3)));
+
+    figure(4);
+    subplot(211)
+    plot(20*log10(abs(fft(s0M))))
+    axis([1 length(s0M) 0 80]);
+    grid;
+    subplot(212)
+    plot(20*log10(abs(fft(s))))
+    axis([1 length(s0M) 0 80]);
+    grid;
+
diff --git a/octave/codec2_demo.m b/octave/codec2_demo.m
new file mode 100644
index 0000000..0f3950b
--- /dev/null
+++ b/octave/codec2_demo.m
@@ -0,0 +1,108 @@
+% Copyright David Rowe 2012
+% This program is distributed under the terms of the GNU General Public License 
+% Version 2
+%
+% codec2_demo.m
+
+% Designed as an educational tool to explain the operation of Codec 2
+% for conference and user group presentations on a projector.  An
+% alternative to static overhead slides.
+%
+% Derived from codec2-dev/octave/plamp.m
+%
+% usage:
+%   octave:1> plamp("../src/hts2a",40)
+%
+% Then press:
+%   c - to cycle through the wavform being displayed on the figure
+%   n - next frame
+%   b - back one frame
+%
+%   tip: hold down n or b to animate the display
+%
+% The text files used as input are generated using c2sim:
+%
+%   /codec2-dev/src$ c2sim ../raw/hts2a.raw --dump hts2a
+%
+% The Codec 2 README explains how to build c2sim with dump files
+% enabled.
+
+function codec2_demo(samname, f)
+  
+  sn_name = strcat(samname,"_sn.txt");
+  Sn = load(sn_name);
+
+  sw_name = strcat(samname,"_sw.txt");
+  Sw = load(sw_name);
+
+  model_name = strcat(samname,"_model.txt");
+  model = load(model_name);
+  
+  figure(1);
+
+  k = ' ';
+  wf = "Sn";
+  do 
+   
+    if strcmp(wf,"Sn")
+      clf;
+      s = [ Sn(2*f-1,:) Sn(2*f,:) ];
+      plot(s);
+      axis([1 length(s) -20000 20000]);
+    end
+
+    if (strcmp(wf,"Sw"))
+      clf;
+      plot((0:255)*4000/256, Sw(f,:),";Sw;");
+    end
+  
+    if strcmp(wf,"SwAm")
+      Wo = model(f,1);
+      L = model(f,2);
+      Am = model(f,3:(L+2));
+      plot((0:255)*4000/256, Sw(f,:),";Sw;");
+      hold on;
+      plot((1:L)*Wo*4000/pi, 20*log10(Am),"+;Am;r");
+      axis([1 4000 -10 80]);
+      hold off;
+    end
+
+    if strcmp(wf,"Am")
+      Wo = model(f,1);
+      L = model(f,2);
+      Am = model(f,3:(L+2));
+      plot((1:L)*Wo*4000/pi, 20*log10(Am),"+;Am;r");
+      axis([1 4000 -10 80]);
+    end
+
+    % interactive menu
+
+    printf("\rframe: %d  menu: n-next  b-back  w-cycle window  q-quit", f);
+    fflush(stdout);
+    k = kbhit();
+    if (k == 'n')
+      f = f + 1;
+    end
+    if (k == 'b')
+      f = f - 1;
+    end
+    if (k == 'w') 
+      if strcmp(wf,"Sn")
+        next_wf = "Sw";
+      end
+      if strcmp(wf,"Sw")
+        next_wf = "SwAm";
+      end
+      if strcmp(wf,"SwAm")
+        next_wf = "Am";
+      end
+      if strcmp(wf,"Am")
+        next_wf = "Sn";
+      end
+      wf = next_wf;
+    end
+
+  until (k == 'q')
+  printf("\n");
+
+endfunction
diff --git a/octave/cohpsk_demod_plot.m b/octave/cohpsk_demod_plot.m
new file mode 100644
index 0000000..22291ad
--- /dev/null
+++ b/octave/cohpsk_demod_plot.m
@@ -0,0 +1,69 @@
+% cohpsk_demod_plot.m
+% David Rowe May 2015
+%
+% Plot Octave outputs from cohpsk_demod, c2dec, to visualise what's going on
+% when errors hit the system
+
+#{
+   $ ./cohpsk_get_test_bits - 5600 | ./cohpsk_mod - - | ./ch - - --No -40 | ./cohpsk_demod - - -o cohpsk_demod.txt | ./cohpsk_put_test_bits -
+   octave> cohpsk_demod_plot("../build_linux/src/cohpsk_demod.txt")
+#}
+   
+function cohpsk_demod_plot(fn)
+  Nc=7; Nd=2; Ns=6;
+
+  load(fn);
+
+  Ncf = 100;     % number of codec frames to plot
+  Nmf = Ncf/2;  % number of modem frames to plot
+  Nms = Nmf*Ns; % number of modem symbols to plot
+
+  figure(1)
+  clf;
+
+  % plot combined signals to show diversity gains
+
+  combined = rx_symb_log_c(:,1:Nc);
+  for d=2:Nd
+    combined += rx_symb_log_c(:, (d-1)*Nc+1:d*Nc);
+  end
+  plot(combined*exp(j*pi/4)/sqrt(Nd),'+')
+  title('Scatter');
+  axis([-2 2 -2 2])
+
+  figure(2)
+  clf;
+  subplot(211)
+  plot(rx_phi_log_c(1:Nms,:))
+  title('phase')
+  axis([1 Nms -pi pi])
+  subplot(212)
+  plot(rx_amp_log_c(1:Nms,:))
+  title('amplitude')
+  axis([1 Nms 0 1])
+
+  figure(3)
+  subplot(211)
+  plot(rx_timing_log_c)
+  title('rx timing');
+  subplot(212)
+  stem(ratio_log_c)
+  title('Sync ratio');
+
+  figure(4)
+  plot(f_est_log_c - 1500)
+  title('freq offset est');
+  axis([1 Nmf -50 50])
+
+  figure(5)
+  y = 1:Nms;
+  x = 1:Nc*Nd;
+  z = 20*log10(rx_amp_log_c(1:Nms,:));
+  mesh(x,y,z);
+  grid
+  title('Channel Amplitude dB');
+  a = min(min(z));
+  b = max(max(z));
+  axis([1 Nc*Nd 1 Nms a b])
+end
+
diff --git a/octave/cohpsk_dev.m b/octave/cohpsk_dev.m
new file mode 100644
index 0000000..0807319
--- /dev/null
+++ b/octave/cohpsk_dev.m
@@ -0,0 +1,439 @@
+% cohpsk_dev.m
+% David Rowe Mar 2015
+%
+% Coherent PSK modem development and testing functions
+%
+
+cohpsk_lib;
+
+% Init HF channel model from stored sample files of spreading signal ----------------------------------
+
+function [spread spread_2ms hf_gain] = init_hf_model(Fs, nsam)
+
+    % convert "spreading" samples from 1kHz carrier at Fss to complex
+    % baseband, generated by passing a 1kHz sine wave through PathSim
+    % with the ccir-poor model, enabling one path at a time.
+    
+    Fc = 1000; Fss = 8000;
+    fspread = fopen("../raw/sine1k_2Hz_spread.raw","rb");
+    spread1k = fread(fspread, "int16")/10000;
+    fclose(fspread);
+    fspread = fopen("../raw/sine1k_2ms_delay_2Hz_spread.raw","rb");
+    spread1k_2ms = fread(fspread, "int16")/10000;
+    fclose(fspread);
+
+    % down convert to complex baseband
+    spreadbb = spread1k.*exp(-j*(2*pi*Fc/Fss)*(1:length(spread1k))');
+    spreadbb_2ms = spread1k_2ms.*exp(-j*(2*pi*Fc/Fss)*(1:length(spread1k_2ms))');
+
+    % remove -2000 Hz image
+    b = fir1(50, 5/Fss);
+    spread = filter(b,1,spreadbb);
+    spread_2ms = filter(b,1,spreadbb_2ms);
+   
+    % discard first 1000 samples as these were near 0, probably as
+    % PathSim states were ramping up
+
+    spread    = spread(1000:length(spread));
+    spread_2ms = spread_2ms(1000:length(spread_2ms));
+
+    % change output samples so they are at rate Fs reqd by caller
+    
+    spread = resample(spread, Fs, Fss);
+    spread_2ms = resample(spread_2ms, Fs, Fss);
+
+    % Determine "gain" of HF channel model, so we can normalise
+    % carrier power during HF channel sim to calibrate SNR.  I imagine
+    % different implementations of ccir-poor would do this in
+    % different ways, leading to different BER results.  Oh Well!
+
+    hf_gain = 1.0/sqrt(var(spread(1:nsam))+var(spread_2ms(1:nsam)));
+endfunction
+
+
+function write_pilot_file(pilot, Nsymbrowpilot, Ns, Nsymrow, Npilotsframe, Nc);
+
+  filename = sprintf("../src/cohpsk_defs.h", Npilotsframe, Nc);
+  f=fopen(filename,"wt");
+  fprintf(f,"/* Generated by write_pilot_file() Octave function */\n\n");
+  fprintf(f,"#define NSYMROW      %d   /* number of data symbols on each row (i.e. each carrier) */\n", Nsymrow);
+  fprintf(f,"#define NS           %d   /* number of data symbols between pilots                   */\n", Ns);
+  fprintf(f,"#define NPILOTSFRAME %d   /* number of pilot symbols on each row                     */\n", Npilotsframe);
+  fprintf(f,"#define PILOTS_NC    %d   /* number of carriers                                      */\n\n", Nc);
+  fprintf(f,"#define NSYMROWPILOT %d   /* length of row after pilots inserted                     */\n\n", Nsymbrowpilot);
+  fclose(f);
+
+  filename = sprintf("../src/pilots_coh.h", Npilotsframe, Nc);
+  f=fopen(filename,"wt");
+  fprintf(f,"/* Generated by write_pilot_file() Octave function */\n\n");
+  fprintf(f,"float pilots_coh[][PILOTS_NC]={\n");
+  for r=1:Npilotsframe
+    fprintf(f, "  {");
+    for c=1:Nc-1
+      fprintf(f, "  %f,", pilot(r, c));
+    end
+    if r < Npilotsframe
+      fprintf(f, "  %f},\n", pilot(r, Nc));
+    else
+      fprintf(f, "  %f}\n};", pilot(r, Nc));
+    end
+  end
+  fclose(f);
+endfunction
+
+
+% Save test bits frame to a text file in the form of a C array
+
+function test_bits_coh_file(test_bits_coh)
+
+  f=fopen("../src/test_bits_coh.h","wt");
+  fprintf(f,"/* Generated by test_bits_coh_file() Octave function */\n\n");
+  fprintf(f,"const int test_bits_coh[]={\n");
+  for m=1:length(test_bits_coh)-1
+    fprintf(f,"  %d,\n",test_bits_coh(m));
+  endfor
+  fprintf(f,"  %d\n};\n",test_bits_coh(length(test_bits_coh)));
+  fclose(f);
+
+endfunction
+
+
+% Rate Rs BER tests ------------------------------------------------------------------------------
+
+function sim_out = ber_test(sim_in)
+    sim_in = symbol_rate_init(sim_in);
+
+    Fs               = sim_in.Fs;
+    Rs               = sim_in.Rs;
+    Ntrials          = sim_in.Ntrials;
+    verbose          = sim_in.verbose;
+    plot_scatter     = sim_in.plot_scatter;
+    framesize        = sim_in.framesize;
+    bps              = sim_in.bps;
+
+    Esvec            = sim_in.Esvec;
+    ldpc_code        = sim_in.ldpc_code;
+    rate             = sim_in.ldpc_code_rate;
+    code_param       = sim_in.code_param;
+    tx_bits_buf      = sim_in.tx_bits_buf;
+    Nsymb            = sim_in.Nsymb;
+    Nsymbrow         = sim_in.Nsymbrow;
+    Nsymbrowpilot    = sim_in.Nsymbrowpilot;
+    Nc               = sim_in.Nc;
+    Npilotsframe     = sim_in.Npilotsframe;
+    Ns               = sim_in.Ns;
+    Np               = sim_in.Np;
+    Nd               = sim_in.Nd;
+    modulation       = sim_in.modulation;
+    pilot            = sim_in.pilot;
+    prev_sym_tx      = sim_in.prev_sym_tx;
+    prev_sym_rx      = sim_in.prev_sym_rx;
+    rx_symb_buf      = sim_in.rx_symb_buf;
+    tx_pilot_buf     = sim_in.tx_pilot_buf;
+    rx_pilot_buf     = sim_in.rx_pilot_buf;
+
+    hf_sim           = sim_in.hf_sim;
+    nhfdelay         = sim_in.hf_delay_ms*Rs/1000;
+    hf_mag_only      = sim_in.hf_mag_only;
+    f_off            = sim_in.f_off;
+    div_time_shift   = sim_in.div_timeshift;
+
+    [spread spread_2ms hf_gain] = init_hf_model(Rs, Nsymbrowpilot*(Ntrials+2));
+
+    if strcmp(modulation,'dqpsk')
+      Nsymbrowpilot = Nsymbrow;
+    end
+
+    % Start Simulation ----------------------------------------------------------------
+
+    for ne = 1:length(Esvec)
+        EsNodB = Esvec(ne);
+        EsNo = 10^(EsNodB/10);
+    
+        variance = 1/EsNo;
+        if verbose > 1
+            printf("EsNo (dB): %f EsNo: %f variance: %f\n", EsNodB, EsNo, variance);
+        end
+        
+        Terrs = 0;  Tbits = 0;
+
+        s_ch_tx_log      = [];
+        rx_symb_log      = [];
+        noise_log        = [];
+        errors_log       = [];
+        Nerrs_log        = [];
+        phi_log          = [];
+        amp_log          = [];
+        EsNo__log        = [];
+
+        ldpc_errors_log = []; ldpc_Nerrs_log = [];
+
+        Terrsldpc = Tbitsldpc = Ferrsldpc = 0;
+
+        % init HF channel
+
+        hf_n = 1;
+
+        phase_offset_rect = 1;
+        w_offset      = 2*pi*f_off/Rs;
+        w_offset_rect = exp(j*w_offset);
+
+        ct_symb_buf = zeros(2*Nsymbrowpilot, Nc*Nd);
+        prev_tx_symb = prev_rx_symb = ones(1, Nc*Nd);
+
+        % simulation starts here-----------------------------------
+ 
+        for nn = 1:Ntrials+2
+                  
+            if ldpc_code
+              tx_bits = round(rand(1,framesize*rate));                       
+            else
+              tx_bits = round(rand(1,framesize));                       
+            end
+
+            if strcmp(modulation,'qpsk')
+              [tx_symb tx_bits] = bits_to_qpsk_symbols(sim_in, tx_bits, code_param);
+
+              % one frame delay on bits for qpsk
+
+              tx_bits_buf(1:framesize) = tx_bits_buf(framesize+1:2*framesize);
+              tx_bits_buf(framesize+1:2*framesize) = tx_bits;
+
+            end
+            if strcmp(modulation, 'dqpsk')
+              [tx_symb prev_tx_symb] = bits_to_dqpsk_symbols(sim_in, tx_bits, prev_tx_symb);
+              tx_bits_buf(1:framesize) = tx_bits;
+            end
+
+            s_ch = tx_symb;
+
+            % HF channel simulation  ------------------------------------
+            
+            hf_fading = ones(1,Nsymb);
+            if hf_sim
+
+                % separation between carriers.  Note this effectively
+                % under samples at Rs, I dont think this matters.
+                % Equivalent to doing freq shift at Fs, then
+                % decimating to Rs.
+
+                wsep = 2*pi*(1+0.5);  % e.g. 75Hz spacing at Rs=50Hz, alpha=0.5 filters
+
+                hf_model(hf_n, :) = zeros(1,Nc*Nd);
+                
+                for r=1:Nsymbrowpilot
+                  for c=1:Nd*Nc
+                    if c > Nc 
+                      time_shift = sim_in.div_timeshift;
+                    else
+                      time_shift = 1;
+                    end
+                    ahf_model = hf_gain*(spread(hf_n+time_shift) + exp(-j*c*wsep*nhfdelay)*spread_2ms(hf_n+time_shift));
+                    
+                    if hf_mag_only
+                      s_ch(r,c) *= abs(ahf_model);
+                    else
+                      s_ch(r,c) *= ahf_model;
+                    end
+                    hf_model(hf_n, c) = ahf_model;
+                  end
+                  hf_n++;
+                end
+            end
+           
+            % keep a record of each tx symbol so we can check average power
+
+            for r=1:Nsymbrow
+              for c=1:Nd*Nc
+                 s_ch_tx_log = [s_ch_tx_log s_ch(r,c)];
+              end
+            end
+
+            % AWGN noise and phase/freq offset channel simulation
+            % 0.5 factor ensures var(noise) == variance , i.e. splits power between Re & Im
+
+            noise = sqrt(variance*0.5)*(randn(Nsymbrowpilot,Nc*Nd) + j*randn(Nsymbrowpilot,Nc*Nd));
+            noise_log = [noise_log noise];
+
+            for r=1:Nsymbrowpilot
+              s_ch(r,:) *= phase_offset_rect;
+              phase_offset_rect *= w_offset_rect;
+            end
+            s_ch += noise;
+
+            ct_symb_buf(1:Nsymbrowpilot,:) = ct_symb_buf(Nsymbrowpilot+1:2*Nsymbrowpilot,:);
+            ct_symb_buf(Nsymbrowpilot+1:2*Nsymbrowpilot,:) = s_ch;
+
+            if strcmp(modulation,'qpsk')
+              [rx_symb rx_bits rx_symb_linear amp_ phi_ sig_rms noise_rms sim_in] = qpsk_symbols_to_bits(sim_in, ct_symb_buf(1:Nsymbrowpilot+Npilotsframe,:));                                 
+              phi_log = [phi_log; phi_];
+              amp_log = [amp_log; amp_];
+            end
+            if strcmp(modulation,'dqpsk')
+              [rx_symb rx_bits rx_symb_linear prev_rx_symb] = dqpsk_symbols_to_bits(sim_in, s_ch, prev_rx_symb);                                 
+            end
+                        
+            % Wait until we have enough frames to do pilot assisted phase estimation
+
+            if nn > 1
+              rx_symb_log = [rx_symb_log rx_symb_linear];
+              %EsNo__log = [EsNo__log EsNo_];
+
+              % Measure BER
+
+              error_positions = xor(rx_bits, tx_bits_buf(1:framesize));
+              Nerrs = sum(error_positions);
+              Terrs += Nerrs;
+              Tbits += length(tx_bits);
+              errors_log = [errors_log error_positions];
+              Nerrs_log = [Nerrs_log Nerrs];
+
+              % Optionally LDPC decode
+            
+              if ldpc_code
+                detected_data = ldpc_dec(code_param, sim_in.max_iterations, sim_in.demod_type, sim_in.decoder_type, ...
+                                         rx_symb_linear, min(100,EsNo_), amp_linear);
+                error_positions = xor( detected_data(1:framesize*rate), tx_bits_buf(1:framesize*rate) );
+                Nerrs = sum(error_positions);
+                ldpc_Nerrs_log = [ldpc_Nerrs_log Nerrs];
+                ldpc_errors_log = [ldpc_errors_log error_positions];
+                if Nerrs
+                    Ferrsldpc++;
+                end
+                Terrsldpc += Nerrs;
+                Tbitsldpc += framesize*rate;
+              end
+            end
+          end
+           
+          TERvec(ne) = Terrs;
+          BERvec(ne) = Terrs/Tbits;
+
+            if verbose 
+              av_tx_pwr = (s_ch_tx_log * s_ch_tx_log')/length(s_ch_tx_log);
+
+              printf("EsNo (dB): %3.1f Terrs: %d Tbits: %d BER %5.3f QPSK BER theory %5.3f av_tx_pwr: %3.2f",
+                     EsNodB, Terrs, Tbits,
+                       Terrs/Tbits, 0.5*erfc(sqrt(EsNo/2)), av_tx_pwr);
+              if ldpc_code
+                  printf("\n LDPC: Terrs: %d BER: %4.2f Ferrs: %d FER: %4.2f", 
+                         Terrsldpc, Terrsldpc/Tbitsldpc, Ferrsldpc, Ferrsldpc/Ntrials);
+              end
+              printf("\n");
+            end
+    end
+    
+    Ebvec = Esvec - 10*log10(bps);
+    sim_out.BERvec          = BERvec;
+    sim_out.Ebvec           = Ebvec;
+    sim_out.TERvec          = TERvec;
+    sim_out.errors_log      = errors_log;
+    sim_out.ldpc_errors_log = ldpc_errors_log;
+
+    if plot_scatter
+        figure(2);
+        clf;
+        scat = rx_symb_log .* exp(j*pi/4);
+        plot(real(scat), imag(scat),'+');
+        title('Scatter plot');
+        a = 1.5*max(real(scat)); b = 1.5*max(imag(scat));
+        axis([-a a -b b]);
+
+        if hf_sim
+          figure(3);
+          clf;
+        
+          y = 1:(hf_n-1);
+          x = 1:Nc*Nd;
+          EsNodBSurface = 20*log10(abs(hf_model(y,:))) - 10*log10(variance);
+          EsNodBSurface(find(EsNodBSurface < -5)) = -5;
+          EsNodBSurface(find(EsNodBSurface > 25)) = 25;
+          mesh(x,y,EsNodBSurface);
+          grid
+          axis([1 Nc*Nd 1 Rs*5 -5 25])
+          title('HF Channel Es/No');
+
+          if verbose 
+            [m n] = size(hf_model);
+            av_hf_pwr = sum(sum(abs(hf_model(:,:)).^2))/(m*n);
+            printf("average HF power: %3.2f over %d symbols\n", av_hf_pwr, m*n);
+          end
+
+       end
+
+       if strcmp(modulation,'qpsk')
+          % set up time axis to include gaps for pilots
+
+         [m1 n1] = size(phi_log);
+         phi_x = [];
+         phi_x_counter = 1;
+         p = Ns;
+         for r=1:m1
+           if p == Ns
+             phi_x_counter += Npilotsframe;
+             p = 0;
+           end
+           p++;
+           phi_x = [phi_x phi_x_counter++];        
+         end
+
+         phi_x -= Nsymbrowpilot; % account for delay in pilot buffer
+
+         figure(5);
+         clf
+         subplot(211)
+         [m n] = size(phi_log);
+         plot(phi_x, phi_log(:,2),'r+;Estimated HF channel phase;')
+         if hf_sim
+           hold on;
+           [m n] = size(hf_model);
+           plot(angle(hf_model(1:m,2)),'g;HF channel phase;')
+           hold off;
+         end
+         ylabel('Phase (rads)');
+         legend('boxoff');
+         axis([1 m -1.1*pi 1.1*pi])
+
+         subplot(212)
+         plot(phi_x, amp_log(:,2),'r+;Estimated HF channel amp;')
+         if hf_sim
+           hold on;
+           plot(abs(hf_model(1:m,2)))
+           hold off;
+         end
+         ylabel('Amplitude');
+         xlabel('Time (symbols)');
+         legend('boxoff');
+         axis([1 m 0 3])
+       end
+
+       figure(4)
+       clf
+       stem(Nerrs_log)
+       axis([1 length(Nerrs_log) 0 max(Nerrs_log)+1])
+   end
+
+endfunction
+
+function sim_in = standard_init
+  sim_in.verbose          = 1;
+  sim_in.do_write_pilot_file = 0;
+  sim_in.plot_scatter     = 0;
+
+  sim_in.Esvec            = 50; 
+  sim_in.Ntrials          = 30;
+  sim_in.framesize        = 2;
+  sim_in.Rs               = 50;
+
+  sim_in.phase_offset     = 0;
+  sim_in.w_offset         = 0;
+  sim_in.phase_noise_amp  = 0;
+
+  sim_in.hf_delay_ms      = 2;
+  sim_in.hf_sim           = 0;
+  sim_in.hf_mag_only      = 0;
+
+  sim_in.Nd            = 1;
+endfunction
+
+
diff --git a/octave/cohpsk_lib.m b/octave/cohpsk_lib.m
new file mode 100644
index 0000000..8545c94
--- /dev/null
+++ b/octave/cohpsk_lib.m
@@ -0,0 +1,509 @@
+% cohpsk_lib.m
+% David Rowe Mar 2015
+%
+% Coherent PSK modem functions
+%
+
+1;
+
+% Gray coded QPSK modulation function
+
+function symbol = qpsk_mod(two_bits)
+    two_bits_decimal = sum(two_bits .* [2 1]); 
+    switch(two_bits_decimal)
+        case (0) symbol =  1;
+        case (1) symbol =  j;
+        case (2) symbol = -j;
+        case (3) symbol = -1;
+    endswitch
+endfunction
+
+
+% Gray coded QPSK demodulation function
+
+function two_bits = qpsk_demod(symbol)
+    if isscalar(symbol) == 0
+        printf("only works with scalars\n");
+        return;
+    end
+    bit0 = real(symbol*exp(j*pi/4)) < 0;
+    bit1 = imag(symbol*exp(j*pi/4)) < 0;
+    two_bits = [bit1 bit0];
+endfunction
+
+% init function for symbol rate processing --------------------------------------------------------
+
+function sim_in = symbol_rate_init(sim_in)
+    sim_in.Fs = Fs = 8000;
+
+    modulation       = sim_in.modulation;
+    verbose          = sim_in.verbose;
+    framesize        = sim_in.framesize;
+    Ntrials          = sim_in.Ntrials;
+    Esvec            = sim_in.Esvec;
+    phase_offset     = sim_in.phase_offset;
+    w_offset         = sim_in.w_offset;
+    plot_scatter     = sim_in.plot_scatter;
+
+    Rs               = sim_in.Rs;
+    Nc               = sim_in.Nc;
+
+    hf_sim           = sim_in.hf_sim;
+    nhfdelay         = sim_in.hf_delay_ms*Rs/1000;
+    hf_mag_only      = sim_in.hf_mag_only;
+
+    Nd               = sim_in.Nd;     % diveristy
+    Ns               = sim_in.Ns;     % step size between pilots
+    ldpc_code        = sim_in.ldpc_code;
+    rate             = sim_in.ldpc_code_rate; 
+
+    sim_in.bps = bps = 2;
+
+    sim_in.Nsymb         = Nsymb            = framesize/bps;
+    sim_in.Nsymbrow      = Nsymbrow         = Nsymb/Nc;
+    sim_in.Npilotsframe  = Npilotsframe     = 2;
+    sim_in.Nsymbrowpilot = Nsymbrowpilot    = Nsymbrow + Npilotsframe;
+    
+    if verbose == 2
+      printf("Each frame contains %d data bits or %d data symbols, transmitted as %d symbols by %d carriers.", framesize, Nsymb, Nsymbrow, Nc);
+      printf("  There are %d pilot symbols in each carrier together at the start of each frame, then %d data symbols.", Npilotsframe, Ns); 
+      printf("  Including pilots, the frame is %d symbols long by %d carriers.\n\n", Nsymbrowpilot, Nc);
+    end
+
+    sim_in.prev_sym_tx = qpsk_mod([0 0])*ones(1,Nc*Nd);
+    sim_in.prev_sym_rx = qpsk_mod([0 0])*ones(1,Nc*Nd);
+
+    sim_in.rx_symb_buf  = zeros(3*Nsymbrow, Nc*Nd);
+    sim_in.rx_pilot_buf = zeros(3*Npilotsframe,Nc*Nd);
+    sim_in.tx_bits_buf  = zeros(1,2*framesize);
+
+    % pilot sequence is used for phase and amplitude estimation, and frame sync
+
+    pilot = 1 - 2*(rand(Npilotsframe,Nc) > 0.5);
+    sim_in.pilot = pilot;
+    sim_in.tx_pilot_buf = [pilot; pilot; pilot];
+
+    if sim_in.do_write_pilot_file
+      write_pilot_file(pilot, Nsymbrowpilot, Ns, Nsymbrow, Npilotsframe, Nc);
+    end
+
+    % we use first 2 pilots of next frame to help with frame sync and fine freq
+
+    sim_in.Nct_sym_buf = 2*Nsymbrowpilot + 2;
+    sim_in.ct_symb_buf = zeros(sim_in.Nct_sym_buf, Nc*Nd);
+
+    sim_in.ff_phase = 1;
+
+    sim_in.ct_symb_ff_buf = zeros(Nsymbrowpilot + 2, Nc*Nd);
+
+    % Init LDPC --------------------------------------------------------------------
+
+    if ldpc_code
+        % Start CML library
+
+        currentdir = pwd;
+        addpath '~/cml/mat'    % assume the source files stored here
+        cd ~/cml
+        CmlStartup             % note that this is not in the cml path!
+        cd(currentdir)
+  
+        % Our LDPC library
+
+        ldpc;
+
+        mod_order = 4; 
+        modulation2 = 'QPSK';
+        mapping = 'gray';
+
+        sim_in.demod_type = 0;
+        sim_in.decoder_type = 0;
+        sim_in.max_iterations = 100;
+
+        code_param = ldpc_init(rate, framesize, modulation2, mod_order, mapping);
+        code_param.code_bits_per_frame = framesize;
+        code_param.symbols_per_frame = framesize/bps;
+        sim_in.code_param = code_param;
+    else
+        sim_in.rate = 1;
+        sim_in.code_param = [];
+    end
+endfunction
+
+
+% Symbol rate processing for tx side (modulator) -------------------------------------------------------
+
+% legacy DQPSK mod for comparative testing
+
+function [tx_symb prev_tx_symb] = bits_to_dqpsk_symbols(sim_in, tx_bits, prev_tx_symb)
+    Nc         = sim_in.Nc;
+    Nsymbrow   = sim_in.Nsymbrow;
+
+    tx_symb = zeros(Nsymbrow,Nc);
+
+    for c=1:Nc
+      for r=1:Nsymbrow
+        i = (c-1)*Nsymbrow + r;
+        tx_symb(r,c) = qpsk_mod(tx_bits(2*(i-1)+1:2*i));  
+        tx_symb(r,c) *= prev_tx_symb(c);
+        prev_tx_symb(c) = tx_symb(r,c);
+      end
+    end
+              
+endfunction
+
+
+% legacy DQPSK demod for comparative testing
+
+function [rx_symb rx_bits rx_symb_linear prev_rx_symb] = dqpsk_symbols_to_bits(sim_in, rx_symb, prev_rx_symb)
+    Nc         = sim_in.Nc;
+    Nsymbrow   = sim_in.Nsymbrow;
+
+    tx_symb = zeros(Nsymbrow,Nc);
+
+    for c=1:Nc
+      for r=1:Nsymbrow
+        tmp = rx_symb(r,c);
+        rx_symb(r,c) *= conj(prev_rx_symb(c))/abs(prev_rx_symb(c));
+        prev_rx_symb(c) = tmp;
+        i = (c-1)*Nsymbrow + r;
+        rx_symb_linear(i) = rx_symb(r,c);
+        rx_bits((2*(i-1)+1):(2*i)) = qpsk_demod(rx_symb(r,c));
+      end
+    end 
+              
+endfunction
+
+
+function [tx_symb tx_bits] = bits_to_qpsk_symbols(sim_in, tx_bits, code_param)
+    ldpc_code     = sim_in.ldpc_code;
+    rate          = sim_in.ldpc_code_rate;
+    framesize     = sim_in.framesize;
+    Nsymbrow      = sim_in.Nsymbrow;
+    Nsymbrowpilot = sim_in.Nsymbrowpilot;
+    Nc            = sim_in.Nc;
+    Npilotsframe  = sim_in.Npilotsframe;
+    Ns            = sim_in.Ns;
+    modulation    = sim_in.modulation;
+    pilot         = sim_in.pilot;
+    Nd            = sim_in.Nd;
+
+    if ldpc_code
+        [tx_bits, tmp] = ldpc_enc(tx_bits, code_param);
+    end
+
+    % modulate --------------------------------------------
+
+    % organise symbols into a Nsymbrow rows by Nc cols
+    % data and parity bits are on separate carriers
+
+    tx_symb = zeros(Nsymbrow,Nc);
+    
+    for c=1:Nc
+      for r=1:Nsymbrow
+        i = (c-1)*Nsymbrow + r;
+        tx_symb(r,c) = qpsk_mod(tx_bits(2*(i-1)+1:2*i));
+      end
+    end
+    
+    % insert pilots at start of frame
+    
+    tx_symb = [pilot(1,:); pilot(2,:); tx_symb;];
+
+    % copy to other carriers (diversity)
+
+    tmp = tx_symb;
+    for d=1:Nd-1
+      tmp = [tmp tx_symb];
+    end
+    tx_symb = tmp;
+
+    % ensures energy/symbol is normalised with diversity
+
+    tx_symb = tx_symb/sqrt(Nd);
+endfunction
+
+
+% Symbol rate processing for rx side (demodulator) -------------------------------------------------------
+
+function [rx_symb rx_bits rx_symb_linear amp_ phi_ sig_rms noise_rms cohpsk] = qpsk_symbols_to_bits(cohpsk, ct_symb_buf)
+    framesize     = cohpsk.framesize;
+    Nsymb         = cohpsk.Nsymb;
+    Nsymbrow      = cohpsk.Nsymbrow;
+    Nsymbrowpilot = cohpsk.Nsymbrowpilot;
+    Nc            = cohpsk.Nc;
+    Nd            = cohpsk.Nd;
+    Npilotsframe  = cohpsk.Npilotsframe;
+    pilot         = cohpsk.pilot;
+    verbose       = cohpsk.verbose;
+    coh_en        = cohpsk.coh_en;
+
+    % Use pilots to get phase and amplitude estimates We assume there
+    % are two samples at the start of each frame and two at the end
+    % Note: correlation (averging) method was used initially, but was
+    % poor at tracking fast phase changes that we experience on fading
+    % channels.  Linear regression (fitting a straight line) works
+    % better on fading channels, but increases BER slightly for AWGN
+    % channels.
+
+    sampling_points = [1 2 cohpsk.Nsymbrow+3 cohpsk.Nsymbrow+4];
+    pilot2 = [cohpsk.pilot(1,:); cohpsk.pilot(2,:); cohpsk.pilot(1,:); cohpsk.pilot(2,:);];
+    phi_ = zeros(Nsymbrow, Nc*Nd);
+    amp_ = zeros(Nsymbrow, Nc*Nd);
+    
+    for c=1:Nc*Nd
+      y = ct_symb_buf(sampling_points,c) .* pilot2(:,c-Nc*floor((c-1)/Nc));
+      [m b] = linreg(sampling_points, y, length(sampling_points));
+      yfit = m*[3 4 5 6] + b;
+      phi_(:, c) = angle(yfit);
+
+      mag  = sum(abs(ct_symb_buf(sampling_points,c)));
+      amp_(:, c) = mag/length(sampling_points);
+    end
+
+    % now correct phase of data symbols
+
+    rx_symb = zeros(Nsymbrow, Nc);
+    rx_symb_linear = zeros(1, Nsymbrow*Nc*Nd);
+    rx_bits = zeros(1, framesize);
+    for c=1:Nc*Nd
+      for r=1:Nsymbrow
+        if coh_en == 1
+          rx_symb(r,c) = ct_symb_buf(2+r,c)*exp(-j*phi_(r,c));
+        else
+          rx_symb(r,c) = ct_symb_buf(2+r,c);
+        end
+        i = (c-1)*Nsymbrow + r;
+        rx_symb_linear(i) = rx_symb(r,c);
+      end
+    end
+
+    % and finally optional diversity combination and make decn on bits
+
+    for c=1:Nc
+      for r=1:Nsymbrow
+        i = (c-1)*Nsymbrow + r;
+        div_symb = rx_symb(r,c);
+        for d=1:Nd-1
+          div_symb += rx_symb(r,c + Nc*d);
+        end
+        rx_bits((2*(i-1)+1):(2*i)) = qpsk_demod(div_symb);
+      end
+    end
+
+    % Estimate noise power from demodulated symbols.  One method is to
+    % calculate the distance of each symbol from the average symbol
+    % position. However this is complicated by fading, which means the
+    % amplitude of the symbols is constantly changing.
+    
+    % Now the scatter diagram in a fading channel is a X or cross
+    % shape.  The noise can be resolved into two components at right
+    % angles to each other.  The component along the the "thickness"
+    % of the arms is proportional to the noise power and not affected
+    % by fading.  We only use points further along the real axis than
+    % the mean amplitude so we keep out of the central nosiey blob
+        
+    sig_rms = mean(abs(rx_symb_linear));
+   
+    sum_x = 0;
+    sum_xx = 0;
+    n = 0;
+    for i=1:Nsymb*Nd
+      s = rx_symb_linear(i);
+      if abs(real(s)) > sig_rms
+        sum_x  += imag(s);
+        sum_xx += imag(s)*imag(s);
+        n++;
+      end
+    end
+   
+    noise_var = 0;
+    if n > 1
+      noise_var = (n*sum_xx - sum_x*sum_x)/(n*(n-1));
+    end
+    noise_rms = sqrt(noise_var);
+endfunction
+
+function [ch_symb rx_timing rx_filt rx_baseband afdmdv f_est] = rate_Fs_rx_processing(afdmdv, ch_fdm_frame, f_est, nsymb, nin, freq_track)
+    M = afdmdv.M;
+    
+    rx_baseband = [];
+    rx_filt = [];
+    rx_timing = [];
+
+    ch_fdm_frame_index = 1;
+
+    for r=1:nsymb
+      % shift signal to nominal baseband, this will put Nc/2 carriers either side of 0 Hz
+
+      [rx_fdm_frame_bb afdmdv.fbb_phase_rx] = freq_shift(ch_fdm_frame(ch_fdm_frame_index:ch_fdm_frame_index + nin - 1), -f_est, afdmdv.Fs, afdmdv.fbb_phase_rx);
+      ch_fdm_frame_index += nin;
+
+      % downconvert each FDM carrier to Nc separate baseband signals
+
+      [arx_baseband afdmdv]             = fdm_downconvert(afdmdv, rx_fdm_frame_bb, nin);
+      [arx_filt afdmdv]                 = rx_filter(afdmdv, arx_baseband, nin);
+      [rx_onesym arx_timing env afdmdv] = rx_est_timing(afdmdv, arx_filt, nin);     
+
+      rx_baseband = [rx_baseband arx_baseband];
+      rx_filt     = [rx_filt arx_filt];
+      rx_timing    = [rx_timing arx_timing];
+      
+      ch_symb(r,:) = rx_onesym;
+
+      % we only allow a timing shift on one symbol per frame
+
+      if nin != M
+        nin = M;
+      end
+
+      % freq tracking, see test_ftrack.m for unit test.  Placed in
+      % this function as it needs to work on a symbol by symbol basis
+      % rather than frame by frame.  This means the control loop
+      % operates at a sample rate of Rs = 50Hz for say 1 Hz/s drift.
+
+      if freq_track
+        beta = 0.005;
+        g = 0.2;
+
+        % combine difference on phase from last symbol over Nc carriers
+
+        mod_strip = 0;
+        for c=1:afdmdv.Nc+1
+          adiff = rx_onesym(c) .* conj(afdmdv.prev_rx_symb(c));
+          afdmdv.prev_rx_symb(c) = rx_onesym(c);
+
+          % 4th power strips QPSK modulation, by multiplying phase by 4
+          % Using the abs value of the real coord was found to help 
+          % non-linear issues when noise power was large
+
+          amod_strip = adiff.^4;
+          amod_strip = abs(real(amod_strip)) + j*imag(amod_strip);
+          mod_strip += amod_strip;
+        end
+
+        % loop filter made up of 1st order IIR plus integrator.  Integerator
+        % was found to be reqd 
+        
+        afdmdv.filt = (1-beta)*afdmdv.filt + beta*angle(mod_strip);
+        f_est += g*afdmdv.filt;
+      end
+    end
+endfunction
+
+
+function ct_symb_buf = update_ct_symb_buf(ct_symb_buf, ch_symb, Nct_sym_buf, Nsymbrowpilot)
+
+  % update memory in symbol buffer
+
+  for r=1:Nct_sym_buf-Nsymbrowpilot
+    ct_symb_buf(r,:) = ct_symb_buf(r+Nsymbrowpilot,:);
+  end
+  i = 1;
+  for r=Nct_sym_buf-Nsymbrowpilot+1:Nct_sym_buf
+    ct_symb_buf(r,:) = ch_symb(i,:);
+    i++;
+  end
+endfunction
+
+
+% returns index of start of frame and fine freq offset
+
+function [next_sync cohpsk] = frame_sync_fine_freq_est(cohpsk, ch_symb, sync, next_sync)
+  ct_symb_buf   = cohpsk.ct_symb_buf;
+  Nct_sym_buf   = cohpsk.Nct_sym_buf;
+  Rs            = cohpsk.Rs;
+  Nsymbrowpilot = cohpsk.Nsymbrowpilot;
+  Nc            = cohpsk.Nc;
+  Nd            = cohpsk.Nd;
+
+  ct_symb_buf = update_ct_symb_buf(ct_symb_buf, ch_symb, Nct_sym_buf, Nsymbrowpilot);
+  cohpsk.ct_symb_buf = ct_symb_buf;
+ 
+  % sample pilots at start of this frame and start of next frame 
+
+  sampling_points = [1 2 cohpsk.Nsymbrow+3 cohpsk.Nsymbrow+4];
+  pilot2 = [ cohpsk.pilot(1,:); cohpsk.pilot(2,:); cohpsk.pilot(1,:); cohpsk.pilot(2,:);];
+
+  if sync == 0
+
+    % sample correlation over 2D grid of time and fine freq points
+
+    max_corr = 0;
+    for f_fine=-20:0.25:20
+      f_fine_rect = exp(-j*f_fine*2*pi*sampling_points/Rs)'; % note: this could be pre-computed at init or compile time
+      for t=0:cohpsk.Nsymbrowpilot-1
+        corr = 0; mag = 0;
+        for c=1:Nc*Nd
+          f_corr_vec = f_fine_rect .* ct_symb_buf(t+sampling_points,c); % note: this could be pre-computed at init or compile time
+          acorr = 0.0;
+          for p=1:length(sampling_points)
+            acorr += pilot2(p,c-Nc*floor((c-1)/Nc)) * f_corr_vec(p);
+            mag   += abs(f_corr_vec(p));
+          end
+          corr += abs(acorr);
+        end
+
+        if corr >= max_corr
+          max_corr = corr;
+          max_mag = mag;
+          cohpsk.ct = t;
+          cohpsk.f_fine_est = f_fine;
+          cohpsk.ff_rect = exp(-j*f_fine*2*pi/Rs);
+        end
+      end
+    end
+    
+    printf("  [%d]   fine freq f: %f max_ratio: %f ct: %d\n", cohpsk.frame, cohpsk.f_fine_est, abs(max_corr)/max_mag, cohpsk.ct);
+    if abs(max_corr/max_mag) > 0.9
+      printf("  [%d]   encouraging sync word! ratio: %f\n", cohpsk.frame, abs(max_corr/max_mag));
+      cohpsk.sync_timer = 0;
+      next_sync = 1;
+    else
+      next_sync = 0;
+    end
+    cohpsk.ratio = abs(max_corr/max_mag);
+  end
+  
+  % single point correlation just to see if we are still in sync
+
+  if sync == 1
+    corr = 0; mag = 0;
+    f_fine_rect = exp(-j*cohpsk.f_fine_est*2*pi*sampling_points/Rs)';
+    for c=1:Nc*Nd
+      f_corr_vec = f_fine_rect .* ct_symb_buf(cohpsk.ct+sampling_points,c);
+      acorr = 0;
+      for p=1:length(sampling_points)
+        acorr += pilot2(p, c-Nc*floor((c-1)/Nc)) * f_corr_vec(p);
+        mag  += abs(f_corr_vec(p));
+      end
+      corr += abs(acorr);
+    end
+    cohpsk.ratio = abs(corr)/mag;
+  end
+
+endfunction
+
+
+% misc sync state machine code, just wanted it in a function
+
+function [sync cohpsk] = sync_state_machine(cohpsk, sync, next_sync)
+
+  if sync == 1
+
+    % check that sync is still good, fall out of sync on consecutive bad frames */
+
+    if cohpsk.ratio < 0.8
+      cohpsk.sync_timer++;
+    else
+      cohpsk.sync_timer = 0;            
+    end
+
+    if cohpsk.sync_timer == 10
+      printf("  [%d] lost sync ....\n", cohpsk.frame);
+      next_sync = 0;
+    end
+  end
+
+  sync = next_sync;
+endfunction
+
diff --git a/octave/cohpsk_plots.m b/octave/cohpsk_plots.m
new file mode 100644
index 0000000..9fc9a11
--- /dev/null
+++ b/octave/cohpsk_plots.m
@@ -0,0 +1,141 @@
+% cohpsk_plots.m
+% David Rowe Feb 2017
+%
+% Generate some plots for chps modem blog post
+
+rand("seed",1);
+
+% Multipath with simple unfiltered BPSK signal
+
+N = 100;  % number of symbols
+M = 4;    % oversample rate
+
+tx_bits = rand(1,N) > 0.5;
+tx_symbols = 2*tx_bits - 1;
+tx = zeros(1,N*M);
+
+for i=1:N
+  tx((i-1)*M+1:i*M) = tx_symbols(i);
+end
+
+h = [0 0 0 0 0.5];   % model of second path
+
+rx1 = tx;
+rx2 = filter(h,1,tx);
+rx = rx1 + rx2;
+
+% Multipath in time domain
+
+figure(1); clf;
+subplot(311)
+plot(rx1, "linewidth", 4)
+axis([0 10*M+1 -2 2]);
+subplot(312)
+plot(rx2, "linewidth", 4)
+axis([0 10*M+1 -2 2]);
+subplot(313)
+plot(rx, "linewidth", 4)
+axis([0 10*M+1 -2 2]);
+xlabel('Time');
+print("cohpsk_multipath_time.png", "-dpng", "-S600,440", "-F:8")
+
+% Multipath channel magnitude and phase response against frequency
+
+h = [1 0 0 0 0.5];   % model of two path multipath channel
+H = freqz(h,1,100);
+
+figure(2); clf;
+subplot(211)
+plot(20*log10(abs(H)), "linewidth", 4)
+title('Amplitude (dB)');
+subplot(212)
+plot(angle(H), "linewidth", 4)
+title('Phase (rads)');
+%axis([0 500 -2 2]);
+xlabel('Frequency');
+print("cohpsk_multipath_channel.png", "-dpng", "-S600,440", "-F:8")
+
+% Effective of 1 sample multipath for different symbols lengths
+
+h = [1 0 0 0 0.5];   % model of two path multipath channel
+M1 = 2;
+M2 = 20;
+tx1 = zeros(1,N*M1);
+tx2 = zeros(1,N*M2);
+for i=1:N
+  tx1((i-1)*M1+1:i*M1) = tx_symbols(i);
+  tx2((i-1)*M2+1:i*M2) = tx_symbols(i);
+end
+
+rx1 = filter(h,1,tx1);
+rx2 = filter(h,1,tx2);
+
+figure(3); clf;
+subplot(211)
+plot(rx1, "linewidth", 4)
+axis([0 10*M1+1 -2 2]);
+title('1ms multipath with 2ms symbols')
+subplot(212)
+plot(rx2, "linewidth", 4)
+axis([0 10*M2+1 -2 2]);
+title('1ms multipath with 20ms symbols')
+xlabel('Time');
+print("cohpsk_multipath_symbol_length.png", "-dpng", "-S600,440", "-F:8")
+
+% DBPSK --------------------------------------------------
+
+N = 10;
+tx_bits = rand(1,N) > 0.5;
+bpsk = 2*tx_bits - 1;
+prev_bpsk = 1;
+for i=1:N
+
+  % BPSK -> DBPSK
+
+  dbpsk(i) = bpsk(i) * (-prev_bpsk);
+  prev_bpsk = bpsk(i);
+
+  % oversampling
+
+  tx_bpsk((i-1)*M+1:i*M) = bpsk(i);
+  tx_dbpsk((i-1)*M+1:i*M) = dbpsk(i);
+end
+
+figure(4); clf;
+subplot(211);
+plot(tx_bpsk, "linewidth", 4)
+axis([0 10*M+1 -2 2]);
+title('Tx BPSK');
+subplot(212);
+plot(tx_dbpsk, "linewidth", 4)
+axis([0 10*M+1 -2 2]);
+title('Tx DBPSK');
+print("cohpsk_dbpsk1.png", "-dpng", "-S600,440", "-F:8")
+
+dbpsk *= -1;
+
+prev_rx = 1;
+for i=1:N
+
+  % rx DBPSK -> PSK
+
+  bpsk(i) = dbpsk(i) * (prev_rx);
+  prev_rx = bpsk(i);
+
+  % oversampling
+
+  rx_bpsk((i-1)*M+1:i*M) = bpsk(i);
+  rx_dbpsk((i-1)*M+1:i*M) = dbpsk(i);
+end
+
+figure(5); clf;
+subplot(211);
+plot(rx_dbpsk, "linewidth", 4)
+axis([0 10*M+1 -2 2]);
+title('Rx DBPSK with 180 deg phase shift');
+subplot(212);
+plot(rx_bpsk, "linewidth", 4)
+axis([0 10*M+1 -2 2]);
+title('Rx BPSK');
+print("cohpsk_dbpsk2.png", "-dpng", "-S600,440", "-F:8")
+
diff --git a/octave/crc16.m b/octave/crc16.m
new file mode 100644
index 0000000..aafc432
--- /dev/null
+++ b/octave/crc16.m
@@ -0,0 +1,55 @@
+% crc16.m

+%

+%The CRC calculation is based on following generator polynomial:

+%G(x) = x16 + x12 + x5 + 1

+%

+%The register initial value of the implementation is: 0xFFFF

+%

+%used data = string -> 1 2 3 4 5 6 7 8 9

+%

+% Online calculator to check the script:

+%http://www.lammertbies.nl/comm/info/crc-calculation.html

+%

+%

+

+function crc = crc16(data)

+

+  % crc look up table

+

+  Crc_ui16LookupTable=[0,4129,8258,12387,16516,20645,24774,28903,33032,37161,41290,45419,49548,...

+    53677,57806,61935,4657,528,12915,8786,21173,17044,29431,25302,37689,33560,45947,41818,54205,...

+    50076,62463,58334,9314,13379,1056,5121,25830,29895,17572,21637,42346,46411,34088,38153,58862,...

+    62927,50604,54669,13907,9842,5649,1584,30423,26358,22165,18100,46939,42874,38681,34616,63455,...

+    59390,55197,51132,18628,22757,26758,30887,2112,6241,10242,14371,51660,55789,59790,63919,35144,...

+    39273,43274,47403,23285,19156,31415,27286,6769,2640,14899,10770,56317,52188,64447,60318,39801,...

+    35672,47931,43802,27814,31879,19684,23749,11298,15363,3168,7233,60846,64911,52716,56781,44330,...

+    48395,36200,40265,32407,28342,24277,20212,15891,11826,7761,3696,65439,61374,57309,53244,48923,...

+    44858,40793,36728,37256,33193,45514,41451,53516,49453,61774,57711,4224,161,12482,8419,20484,...

+    16421,28742,24679,33721,37784,41979,46042,49981,54044,58239,62302,689,4752,8947,13010,16949,...

+    21012,25207,29270,46570,42443,38312,34185,62830,58703,54572,50445,13538,9411,5280,1153,29798,...

+    25671,21540,17413,42971,47098,34713,38840,59231,63358,50973,55100,9939,14066,1681,5808,26199,...

+    30326,17941,22068,55628,51565,63758,59695,39368,35305,47498,43435,22596,18533,30726,26663,6336,...

+    2273,14466,10403,52093,56156,60223,64286,35833,39896,43963,48026,19061,23124,27191,31254,2801,6864,...

+    10931,14994,64814,60687,56684,52557,48554,44427,40424,36297,31782,27655,23652,19525,15522,11395,...

+    7392,3265,61215,65342,53085,57212,44955,49082,36825,40952,28183,32310,20053,24180,11923,16050,3793,7920];

+

+  ui16RetCRC16 = hex2dec('FFFF');

+  for I=1:length(data)

+    ui8LookupTableIndex = bitxor(data(I),uint8(bitshift(ui16RetCRC16,-8)));

+    ui16RetCRC16 = bitxor(Crc_ui16LookupTable(double(ui8LookupTableIndex)+1),mod(bitshift(ui16RetCRC16,8),65536));

+  end

+  crc=dec2hex(ui16RetCRC16);

+

+endfunction

+

+

+

+

+

+

+

+

+

+

+

+

diff --git a/octave/diff_fft_mag.m b/octave/diff_fft_mag.m
new file mode 100644
index 0000000..005be70
--- /dev/null
+++ b/octave/diff_fft_mag.m
@@ -0,0 +1,27 @@
+% Compare the magnitude spectrum of two int16 raw files
+function diff_fft_mag(filename1, filename2, threshdB = -40, ignore=1000)
+  % load samples and ignore any start up transients
+  s1 = load_raw(filename1)'; 
+  s1 = s1(ignore:end);
+  s2 = load_raw(filename2)'; 
+  s2 = s2(ignore:end);
+
+  len = min([length(s1) length(s2)]);
+  s1 = s1(1:len); s2 = s2(1:len);
+  
+  S1 = abs(fft(s1.*hanning(length(s1))'));
+  S2 = abs(fft(s2.*hanning(length(s2))'));
+  
+  figure(1): clf;
+  plot(20*log10(S1)); hold on; plot(20*log10(S2)); plot(20*log10(abs(S1-S2)),'r'); hold off;
+  error = S1 - S2;
+  error_energy = error*error';
+  ratio = error_energy/(S1*S1');
+  ratio_dB = 10*log10(ratio);
+  printf("ratio_dB: %4.2f\n", ratio_dB);
+  if ratio_dB < threshdB
+    printf('PASS\n');
+  else
+    printf('FAIL\n');
+  end
+endfunction
diff --git a/octave/doppler_spread.m b/octave/doppler_spread.m
new file mode 100644
index 0000000..b6fccf5
--- /dev/null
+++ b/octave/doppler_spread.m
@@ -0,0 +1,38 @@
+% doppler_spread.m
+% David Rowe Jan 2016
+%
+% Returns gausssian filtered doppler spreading function samples for HF channel
+% modelling.  Used PathSim technical guide as a reference - thanks Moe!
+
+function [spread_FsHz states] = doppler_spread(dopplerSpreadHz, FsHz, Nsam)
+
+  % start with low Fs so we can work with a reasonable filter length
+
+  sigma = dopplerSpreadHz/2;
+  lowFs = ceil(10*dopplerSpreadHz);
+  Ntaps = 100;
+  Nsam_low = ceil(Nsam*lowFs/FsHz + Ntaps); % fill filter memory
+  
+  % generate gaussian freq response and design filter
+
+  x = 0:lowFs/100:lowFs/2;
+  y = (1/(sigma*sqrt(2*pi)))*exp(-(x.^2)/(2*sigma*sigma));
+  b = fir2(Ntaps-1, x/(lowFs/2), y);
+  
+  % generate the spreading samples
+
+  spread_lowFs = filter(b,1,randn(1,Nsam_low) + j*randn(1,Nsam_low));
+
+  % resample to FsHz, scaling for desired spreadFreqHz
+
+  spread_FsHz = resample(spread_lowFs(Ntaps+1:Nsam_low), FsHz, lowFs);
+  assert(length(spread_FsHz) >= Nsam);
+  
+  % return some states for optional unit testing
+  states.x = x;
+  states.y = y;
+  states.b = b;
+
+endfunction
+
+
diff --git a/octave/doppler_spread_ut.m b/octave/doppler_spread_ut.m
new file mode 100644
index 0000000..f7d96b0
--- /dev/null
+++ b/octave/doppler_spread_ut.m
@@ -0,0 +1,51 @@
+% doppler_spread_ut.m
+% David Rowe Jan 2016
+%
+% Unit test script for doppler_spread
+
+f = 1;
+Fs = 8000;
+N  = Fs*10;
+
+[spread states] = doppler_spread(f, Fs, N);
+
+% use spreading samples to modulate 1000Hz sine wave
+% You can listen to this with: sine1k_1Hz.raw
+
+%   $ play -t raw -r 8000 -s -2 
+s = cos(2*pi*(1:N)*1000/Fs);
+s = s .* spread;
+s = real(s)*5000;
+fs = fopen("sine1k_1Hz.raw","wb"); fwrite(fs,s,"short"); fclose(fs);
+
+% Some plots
+
+x = states.x; y = states.y; b = states.b;
+
+H = freqz(b,1,x);
+
+figure(1)
+clf
+subplot(211)
+plot(x,y,';target;')
+title('Gaussian Filter Freq Resp Lin');
+legend('boxoff');
+subplot(212)
+plot(x,20*log10(y),';target;')
+hold on;
+plot(x,20*log10(y),'g+;actual;')
+hold off;
+axis([0 f*10/2 -60 0])
+title('Gaussian Filter Freq Resp dB');
+xlabel('Freq (Hz)');
+legend('boxoff');
+
+figure(2);
+subplot(211)
+plot(abs(spread))
+title('Spreading Function Magnitude');
+subplot(212)
+plot(s)
+title('1000Hz Sine Wave');
+xlabel('Time (samples)')
+
diff --git a/octave/esno_est.m b/octave/esno_est.m
new file mode 100644
index 0000000..f482fb1
--- /dev/null
+++ b/octave/esno_est.m
@@ -0,0 +1,147 @@
+% esno_est.m
+% David Rowe Mar 2017
+%
+% Functions for esimating Es/No from QPSK symbols, and supporting tests
+
+1;
+
+#{
+  ----------------------------------------------------------------------------
+  Estimate the energy and noise of received symbols.
+  
+  Signal power is distance from axis on complex
+  plane. Noise power is the distance orthogonal to each symbol, to provide an
+  estimate that is insensitive to fading that moves symbol towards he origin.
+  
+  For QAM we need to use pilots as they don't have modulation that affects 
+  estimate, for QPSK Modes we can use all rx symbols.
+  ----------------------------------------------------------------------------
+#}
+
+function EsNodB = esno_est_calc(rx_syms)
+  sig_var = sum(abs(rx_syms) .^ 2)/length(rx_syms);
+  sig_rms = sqrt(sig_var);
+   
+  sum_x = 0;
+  sum_xx = 0;
+  n = 0;
+  for i=1:length(rx_syms)
+    s = rx_syms(i);
+    % only consider symbols a reasonable distance from the origin, as these are
+    % more likely to be valid and not errors that will mess up the estimate
+    if abs(s) > sig_rms
+        % rough demodulation, determine if symbol is on real or imag axis
+        if abs(real(s)) > abs(imag(s))
+          % assume noise is orthogonal to real axis
+          sum_x  += imag(s);
+          sum_xx += imag(s)*imag(s);
+        else
+          % assume noise is orthogonal to imag axis
+          sum_x  += real(s);
+          sum_xx += real(s)*real(s);
+        end
+        n++;
+    end
+  end
+
+  % trap corner case
+  if n > 1
+    noise_var = (n*sum_xx - sum_x*sum_x)/(n*(n-1));
+  else
+    noise_var = sig_var;
+  end
+
+  % Total noise power is twice estimate of single-axis noise.
+  noise_var = 2*noise_var;
+  
+  EsNodB = 10*log10(sig_var/noise_var);  
+endfunction
+
+
+#{
+  Plot curves of Es/No estimator in action.
+  
+  Plots indicate it works OK down to Es/No=3dB,
+  where it is 1dB high.  That's acceptable as Es/No=3dB is the lower limit of 
+  our operation (ie Eb/No=0dB, 10% raw BER).
+#}
+
+function [EsNo_est rx_symbols] = esno_est_curves(EsNodB=0:20, channel="awgn", plot_en=1)
+    Nsym=1000; rand('seed',1); randn('seed',1);
+    tx_symbols = 2*(rand(1,Nsym) > 0.5) -1 + j*(2*(rand(1,Nsym) > 0.5) - 1);
+    tx_symbols *= exp(-j*pi/4)/sqrt(2);
+    
+    if strcmp(channel,"mpp")
+        % for fading we assume perfect phase recovery, so just multiply by mag
+        spread = doppler_spread(2.0, 50, length(tx_symbols));
+        tx_symbols = tx_symbols .* abs(spread);
+        % normalise power over the multipath channel run
+        S = tx_symbols*tx_symbols';
+        tx_symbols *= sqrt(Nsym/S);
+    end
+    
+    for i = 1:length(EsNodB)
+        aEsNodB = EsNodB(i);
+        EsNo = 10 .^ (aEsNodB/10);
+        N = 1/EsNo;
+        noise = sqrt(N/2)*randn(1,Nsym) +  sqrt(N/2)*j*randn(1,Nsym);  
+        S = tx_symbols*tx_symbols';
+        N = noise*noise';
+        EsNo_meas(i) = 10*log10(S/N);
+        rx_symbols = tx_symbols + noise;  
+        EsNo_est(i) = esno_est_calc(rx_symbols);
+        printf("EsNo: %5.2f EsNo_meas: %5.2f EsNo_est: %5.2f\n", aEsNodB, EsNo_meas(i), EsNo_est(i));
+    end
+    if plot_en
+        figure(1);
+        plot(EsNodB, EsNo_meas, '+-;EsNo meas;');  hold on; plot(EsNodB, EsNo_est, 'o-;EsNo est;'); hold off;
+        axis([0 max(EsNodB) 0 max(EsNodB)]); grid;
+        figure(2); plot(tx_symbols,'+');
+    end
+endfunction
+
+function esno_est_test(channel="awgn")
+    test_point_dB = 5;
+    [EsNo_est_awgn rx_syms] = esno_est_curves(test_point_dB, channel, plot_en=0);
+    if abs(EsNo_est_awgn - test_point_dB) < 1.0
+        printf("%s Pass\n",toupper(channel));
+    else
+        printf("%s Fail\n",toupper(channel));
+    end
+endfunction
+
+function esno_est_tests_octave
+    esno_est_test("awgn");
+    esno_est_test("mpp");    
+endfunction
+
+function esno_est_test_c(channel="awgn")
+    test_point_dB = 5;
+    [EsNo_est rx_syms] = esno_est_curves(test_point_dB, channel, plot_en=0);
+    rx_syms_float = zeros(1,2*length(rx_syms));
+    rx_syms_float(1:2:end) = real(rx_syms);
+    rx_syms_float(2:2:end) = imag(rx_syms);
+    f = fopen("esno_est.iqfloat","wb"); fwrite(f, rx_syms_float, "float"); fclose(f);
+
+    printf("\nRunning C version....\n");
+    path_to_unittest = "../build_linux/unittest"
+    if getenv("PATH_TO_UNITEST")
+      path_to_unittest = getenv("PATH_TO_UNITEST")
+      printf("setting path from env var to %s\n", path_to_unittest);
+    end
+    system(sprintf("%s/tesno_est %s %d > tesno_est_out.txt", path_to_unittest, "esno_est.iqfloat", length(rx_syms)));
+    load tesno_est_out.txt;
+    printf("test_point: %5.2f Octave: %5.2f C: %5.2f\n", test_point_dB, EsNo_est, tesno_est_out);
+    if abs(EsNo_est - tesno_est_out) < 0.5
+        printf("%s Pass\n",toupper(channel));
+    else
+        printf("%s Fail\n",toupper(channel));
+    end
+endfunction
+
+function esno_est_tests_c
+    esno_est_test_c("awgn");
+    esno_est_test_c("mpp");    
+endfunction
+
+
diff --git a/octave/estsnr.m b/octave/estsnr.m
new file mode 100644
index 0000000..5a00bd8
--- /dev/null
+++ b/octave/estsnr.m
@@ -0,0 +1,65 @@
+% estsnr.m
+% David Rowe May 2017
+%
+% estimate SNR of a sinewave in noise
+
+function snr_dB = estsnr(x, Fs=8000, Nbw = 3000)
+
+  [nr nc] = size(x);
+  if nr == 1
+    x = x';
+  end
+
+  % find peak in +ve side of spectrum, ignoring DC
+
+  L = length(x);
+  X = abs(fft(x));
+  st = floor(0.05*L);  en = floor(0.45*L);
+  [A mx_ind]= max(X(st:en));
+  mx_ind += st;
+
+  % signal energy might be spread by doppler, so sum energy
+  % in frequencies +/- 1%
+
+  s_st = floor(mx_ind*0.99); s_en = floor(mx_ind*1.01); 
+  S = sum(X(s_st:s_en).^2);
+
+  % real signal, so -ve power is the same
+
+  S = 2*S;
+  SdB = 10*log10(S);
+
+  printf("Signal Power S: %3.2f dB\n", SdB);
+
+  % locate a band of noise next to it and find power in band
+
+  st = floor(mx_ind+0.05*(L/2));
+  en = st + floor(0.1*(L/2));
+  
+  N = sum(X(st:en).^2);
+
+  % scale this to obtain total noise power across total bandwidth
+
+  N *= L/(en-st);
+  NdB = 10*log10(N);
+  printf("Noise Power N: %3.2f dB\n", NdB);
+
+  % scale noise to designed noise bandwidth /2 fudge factor as its a
+  % real signal, wish I had a better way to explain that!
+
+  NodB = NdB - 10*log10(Fs/2);
+  NscaleddB = NodB + 10*log10(Nbw);
+  snr_dB = SdB - NscaleddB;
+
+  figure(1); clf;
+  plot(20*log10(X(1:L/2)),'b');
+  hold on;
+  plot([s_st s_en], [NdB NdB]- 10*log10(L), 'r');
+  plot([st en], [NdB NdB]- 10*log10(L), 'r');
+  hold off;
+  top = 10*ceil(SdB/10);
+  bot = NodB - 20;
+  axis([1 L/2 bot top]);
+  grid
+  grid("minor")
+endfunction
diff --git a/octave/fdmdv.m b/octave/fdmdv.m
new file mode 100644
index 0000000..49b9f61
--- /dev/null
+++ b/octave/fdmdv.m
@@ -0,0 +1,971 @@
+% fdmdv.m
+%
+% Functions that implement a Frequency Division Multiplexed Modem for
+% Digital Voice (FDMDV) over HF channels.
+%
+% Copyright David Rowe 2012
+% This program is distributed under the terms of the GNU General Public License 
+% Version 2
+%
+ 
+fdmdv_common;
+
+% reqd to make sure we get same random bits at mod and demod
+rand('state',1); 
+randn('state',1);
+
+% Functions ----------------------------------------------------
+
+
+function f = fdmdv_init(Nc=14)
+    Fs   = f.Fs = 8000;      % sample rate in Hz
+    T    = f.T  = 1/Fs;      % sample period in seconds
+    Rs   = f.Rs = 50;        % symbol rate in Hz
+           f.Nc = Nc;
+    Nb   = f.Nb = 2;         % Bits/symbol for PSK modulation
+    Rb   = f.Rb = Nc*Rs*Nb;  % bit rate
+    M    = f.M  = Fs/Rs;     % oversampling factor
+    Nsym = f.Nsym  = 6;      % number of symbols to filter over
+
+    Fsep    = f.Fsep = 75;             % Separation between carriers (Hz)
+    Fcenter = f.Fcentre = 1500;        % Centre frequency, Nc/2 carriers below this, 
+                                       % Nc/2 carriers above (Hz)
+    Nt      = f.Nt = 5;                % number of symbols we estimate timing over
+    P       = f.P = 4;                 % oversample factor used for rx symbol filtering
+    Nfilter = f.Nfilter = Nsym*M;
+
+    Nfiltertiming = f.Nfiltertiming = M+Nfilter+M;
+
+    Nsync_mem = f.Nsync_mem = 6;
+    f.sync_uw = [1 -1 1 -1 1 -1];
+
+    alpha = 0.5;
+    f.gt_alpha5_root = gen_rn_coeffs(alpha, T, Rs, Nsym, M);
+
+    f.pilot_bit = 0;                   % current value of pilot bit
+
+    f.tx_filter_memory = zeros(Nc+1, Nfilter);
+    f.rx_filter_memory = zeros(Nc+1, Nfilter);
+    f.Nrx_fdm_mem = Nfilter+M+M/P;
+    f.rx_fdm_mem = zeros(1,f.Nrx_fdm_mem);
+
+    f.snr_coeff = 0.9;        % SNR est averaging filter coeff
+
+    % phasors used for up and down converters
+
+    f.freq = zeros(Nc+1,1);
+    f.freq_pol = zeros(Nc+1,1);
+
+    for c=1:Nc/2
+      carrier_freq = (-Nc/2 - 1 + c)*Fsep;
+      f.freq_pol(c)   = 2*pi*carrier_freq/Fs;
+      f.freq(c)       = exp(j*f.freq_pol(c));
+    end
+
+    for c=floor(Nc/2)+1:Nc
+      carrier_freq = (-Nc/2 + c)*Fsep;
+      f.freq_pol(c)  = 2*pi*carrier_freq/Fs;
+      f.freq(c)      = exp(j*f.freq_pol(c));
+    end
+
+    f.freq_pol(Nc+1)  = 2*pi*0/Fs;
+    f.freq(Nc+1) = exp(j*f.freq_pol(Nc+1));
+
+    f.fbb_rect = exp(j*2*pi*f.Fcentre/Fs);
+    f.fbb_phase_tx = 1;
+    f.fbb_phase_rx = 1;
+
+    % Spread initial FDM carrier phase out as far as possible.  This
+    % helped PAPR for a few dB.  We don't need to adjust rx phase as DQPSK
+    % takes care of that.
+
+    f.phase_tx = ones(Nc+1,1);
+    f.phase_tx = exp(j*2*pi*(0:Nc)/(Nc+1));
+    f.phase_rx = ones(Nc+1,1);
+
+    % decimation filter
+
+    f.Nrxdec = 31;
+    % fir1() output appears to have changed from when coeffs used in C port were used
+    %f.rxdec_coeff = fir1(f.Nrxdec-1, 0.25);
+    f.rxdec_coeff = [-0.00125472 -0.00204605   -0.0019897  0.000163906  0.00490937 0.00986375  ...
+                      0.0096718  -0.000480351  -0.019311  -0.0361822   -0.0341251  0.000827866 ...
+                      0.0690577   0.152812      0.222115   0.249004     0.222115   0.152812    ...
+                      0.0690577   0.000827866  -0.0341251 -0.0361822   -0.019311  -0.000480351 ...
+                      0.0096718   0.00986375    0.00490937 0.000163906 -0.0019897 -0.00204605  ...
+                      -0.00125472];
+
+    % we need room for Nrdec + the max nin, as we may need to filter max_min samples
+    
+    f.Nrxdecmem = f.Nrxdec+M+M/P;
+    f.rxdec_lpf_mem = zeros(1,f.Nrxdecmem);
+    f.Q=M/4;
+
+    % freq offset estimation
+
+    f.Mpilotfft      = 256;
+    f.Npilotcoeff    = 30;                              
+
+    % here's how to make this filter from scratch, however it appeared to change over different
+    % octave versions so have hard coded to version used for C port
+    %f.pilot_coeff    = fir1(f.Npilotcoeff-1, 200/(Fs/2))'; % 200Hz LPF
+    f.pilot_coeff    = [0.00223001 0.00301037 0.00471258 0.0075934 0.0118145 0.0174153 ...
+                       0.0242969  0.0322204  0.0408199 0.0496286  0.0581172 0.0657392 ...
+                       0.0719806  0.0764066  0.0787022 0.0787022  0.0764066 0.0719806 ...
+                       0.0657392  0.0581172  0.0496286 0.0408199  0.0322204 0.0242969 ...
+                       0.0174153  0.0118145  0.0075934 0.00471258 0.00301037 0.00223001];
+
+    f.Npilotbaseband = f.Npilotcoeff + M + M/P;            % number of pilot baseband samples 
+    f.Npilotlpf      = 4*M;                                % reqd for pilot LPF
+                                                           % number of symbols we DFT pilot over
+                                                           % pilot est window
+
+    % pilot LUT, used for copy of pilot at rx
+  
+    f.pilot_lut = generate_pilot_lut(f);
+    f.pilot_lut_index = 1;
+    f.prev_pilot_lut_index = 3*M+1;
+
+    % Freq offset estimator states 
+
+    f.pilot_baseband1 = zeros(1, f.Npilotbaseband);        % pilot baseband samples
+    f.pilot_baseband2 = zeros(1, f.Npilotbaseband);        % pilot baseband samples
+    f.pilot_lpf1 = zeros(1, f.Npilotlpf);                  % LPF pilot samples
+    f.pilot_lpf2 = zeros(1, f.Npilotlpf);                  % LPF pilot samples
+
+    % Timing estimator states
+
+    f.rx_filter_mem_timing = zeros(Nc+1, Nt*P);
+    f.rx_baseband_mem_timing = zeros(Nc+1, f.Nfiltertiming);
+
+    % Test bit stream state variables
+
+    f = init_test_bits(f);
+endfunction
+
+
+% generate Nc+1 PSK symbols from vector of (1,Nc*Nb) input bits.  The
+% Nc+1 symbol is the +1 -1 +1 .... BPSK sync carrier
+
+function [tx_symbols f] = bits_to_psk(f, prev_tx_symbols, tx_bits)
+  Nc = f.Nc; Nb = f.Nb;
+  m4_gray_to_binary = [
+    bin2dec("00") 
+    bin2dec("01")
+    bin2dec("11")
+    bin2dec("10")
+  ];
+  m8_gray_to_binary = [
+    bin2dec("000")
+    bin2dec("001")
+    bin2dec("011")
+    bin2dec("010")
+    bin2dec("111")
+    bin2dec("110")
+    bin2dec("100")
+    bin2dec("101")
+  ];
+
+  assert(length(tx_bits) == Nc*Nb, "Incorrect number of bits");
+
+  m = 2 .^ Nb;
+  assert((m == 4) || (m == 8));
+
+  for c=1:Nc
+
+    % extract bits for this symbol
+
+    bits_binary = tx_bits((c-1)*Nb+1:c*Nb); 
+    bits_decimal = sum(bits_binary .* 2.^(Nb-1:-1:0)); 
+
+    % determine phase shift using gray code mapping    
+
+    if m == 4
+       phase_shift = (2*pi/m)*m4_gray_to_binary(bits_decimal+1);
+    else
+       phase_shift = (2*pi/m)*m8_gray_to_binary(bits_decimal+1);
+    end
+
+    % apply phase shift from previous symbol
+
+    tx_symbols(c) = exp(j*phase_shift) * prev_tx_symbols(c);
+  end
+
+  % +1 -1 +1 -1 BPSK sync carrier, once filtered becomes two spectral
+  % lines at +/- Rs/2
+ 
+  if f.pilot_bit
+     tx_symbols(Nc+1) = -prev_tx_symbols(Nc+1);
+  else
+     tx_symbols(Nc+1) = prev_tx_symbols(Nc+1);
+  end
+  if f.pilot_bit 
+    f.pilot_bit = 0;
+  else
+    f.pilot_bit = 1;
+  end
+
+endfunction
+
+% LP filter +/- 1000 Hz, allows us to perform rx filtering at a lower rate saving CPU
+
+function [rx_fdm_filter fdmdv] = rxdec_filter(fdmdv, rx_fdm, nin)
+  M = fdmdv.M;
+  Nrxdecmem = fdmdv.Nrxdecmem;
+  Nrxdec = fdmdv.Nrxdec;
+  rxdec_coeff = fdmdv.rxdec_coeff;
+  rxdec_lpf_mem = fdmdv.rxdec_lpf_mem;
+
+  % place latest nin samples at end of buffer
+  
+  rxdec_lpf_mem(1:Nrxdecmem-nin) = rxdec_lpf_mem(nin+1:Nrxdecmem);
+  rxdec_lpf_mem(Nrxdecmem-nin+1:Nrxdecmem) = rx_fdm(1:nin);
+  
+  % init room for nin output samples
+  
+  rx_fdm_filter = zeros(1,nin);
+
+  % Move starting point for filter dot product to filter newest samples
+  % in buffer.  This stuff makes my head hurt.
+  
+  st = Nrxdecmem - nin - Nrxdec + 1;
+  for i=1:nin
+    a = st+1; b = st+i+Nrxdec-1;
+    %printf("nin: %d i: %d a: %d b: %d\n", nin, i, a, b);
+    rx_fdm_filter(i) = rxdec_lpf_mem(st+i:st+i+Nrxdec-1) * rxdec_coeff';
+  end
+
+  fdmdv.rxdec_lpf_mem = rxdec_lpf_mem;
+end
+
+
+% Combined down convert and rx filter, more memory efficient but less intuitive design
+% TODO: Decimate mem update and downconversion, this will save some more CPU and memory
+%       note phase would have to advance 4 times as fast
+
+function [rx_filt fdmdv] = down_convert_and_rx_filter(fdmdv, rx_fdm, nin, dec_rate)
+  Nc = fdmdv.Nc;
+  M = fdmdv.M;
+  P = fdmdv.P;
+  rx_fdm_mem = fdmdv.rx_fdm_mem;
+  Nrx_fdm_mem = fdmdv.Nrx_fdm_mem;
+  phase_rx = fdmdv.phase_rx;
+  freq = fdmdv.freq;
+  freq_pol = fdmdv.freq_pol;
+  Nfilter = fdmdv.Nfilter;
+  gt_alpha5_root = fdmdv.gt_alpha5_root;
+  Q = fdmdv.Q;
+
+  % update memory of rx_fdm_mem, newest nin sample ast end of buffer
+
+  rx_fdm_mem(1:Nrx_fdm_mem-nin) = rx_fdm_mem(nin+1:Nrx_fdm_mem);
+  rx_fdm_mem(Nrx_fdm_mem-nin+1:Nrx_fdm_mem) = rx_fdm(1:nin);
+
+  for c=1:Nc+1
+
+     #{
+     So we have rx_fdm_mem, a baseband array of samples at
+     rate Fs Hz, including the last nin samples at the end.  To
+     filter each symbol we require the baseband samples for all Nsym
+     symbols that we filter over.  So we need to downconvert the
+     entire rx_fdm_mem array.  To downconvert these we need the LO
+     phase referenced to the start of the rx_fdm_mem array.
+
+      
+      <--------------- Nrx_filt_mem ------->
+                                     nin
+      |--------------------------|---------|
+       1                          |
+                              phase_rx(c)
+     
+      This means winding phase(c) back from this point
+      to ensure phase continuity.
+     #}
+
+     wind_back_phase = -freq_pol(c)*(Nfilter);
+     phase_rx(c)     =  phase_rx(c)*exp(j*wind_back_phase);
+    
+     % down convert all samples in buffer
+
+     rx_baseband = zeros(1,Nrx_fdm_mem);
+     
+     st  = Nrx_fdm_mem;    % end of buffer
+     st -= nin-1;          % first new sample
+     st -= Nfilter;        % first sample used in filtering
+
+     %printf("Nfilter: %d Nrx_fdm_mem: %d dec_rate: %d nin: %d st: %d\n",
+     %        Nfilter, Nrx_fdm_mem, dec_rate, nin,  st);
+             
+     f_rect = freq(c) .^ dec_rate;
+
+     for i=st:dec_rate:Nrx_fdm_mem
+        phase_rx(c) = phase_rx(c) * f_rect;
+	rx_baseband(i) = rx_fdm_mem(i)*phase_rx(c)';
+     end
+ 
+     % now we can filter this carrier's P (+/-1) symbols.  Due to
+     % filtering of rx_fdm we can filter at rate at rate M/Q
+
+     N=M/P; k = 1;
+     for i=1:N:nin
+       rx_filt(c,k) = (M/Q)*rx_baseband(st+i-1:dec_rate:st+i-1+Nfilter-1) * gt_alpha5_root(1:dec_rate:length(gt_alpha5_root))';
+       k+=1;
+     end
+  end
+
+  fdmdv.phase_rx   = phase_rx;
+  fdmdv.rx_fdm_mem = rx_fdm_mem;
+endfunction
+
+
+% LPF and peak pick part of freq est, put in a function as we call it twice
+
+function [foff imax pilot_lpf_out S] = lpf_peak_pick(f, pilot_baseband, pilot_lpf, nin, do_fft)
+  M = f.M;
+  Npilotlpf = f.Npilotlpf;
+  Npilotbaseband = f.Npilotbaseband;
+  Npilotcoeff = f.Npilotcoeff;
+  Fs = f.Fs;
+  Mpilotfft = f.Mpilotfft;
+  pilot_coeff = f.pilot_coeff;
+
+  % LPF cutoff 200Hz, so we can handle max +/- 200 Hz freq offset
+
+  pilot_lpf(1:Npilotlpf-nin) = pilot_lpf(nin+1:Npilotlpf);
+  k = Npilotbaseband-nin+1;;
+  for i = Npilotlpf-nin+1:Npilotlpf
+    pilot_lpf(i) = pilot_baseband(k-Npilotcoeff+1:k) * pilot_coeff';
+    k++;
+  end
+  
+  imax = 0;
+  foff = 0;
+  S = zeros(1, Mpilotfft);
+
+  if do_fft
+    % decimate to improve DFT resolution, window and DFT
+
+    Mpilot = Fs/(2*200);  % calc decimation rate given new sample rate is twice LPF freq
+    h = hanning(Npilotlpf);
+    s = pilot_lpf(1:Mpilot:Npilotlpf) .* h(1:Mpilot:Npilotlpf)';
+    s = [s zeros(1,Mpilotfft-Npilotlpf/Mpilot)];
+    S = fft(s, Mpilotfft);
+
+    % peak pick and convert to Hz
+
+    [imax ix] = max(abs(S));
+    r = 2*200/Mpilotfft;     % maps FFT bin to frequency in Hz
+  
+    if ix > Mpilotfft/2
+      foff = (ix - Mpilotfft - 1)*r;
+    else
+      foff = (ix - 1)*r;
+    endif
+  end
+
+  pilot_lpf_out = pilot_lpf;
+
+endfunction
+
+
+% Estimate frequency offset of FDM signal using BPSK pilot.  This is quite
+% sensitive to pilot tone level wrt other carriers
+
+function [foff S1 S2 f] = rx_est_freq_offset(f, rx_fdm, pilot, pilot_prev, nin, do_fft)
+  M = f.M;
+  Npilotbaseband = f.Npilotbaseband;
+  pilot_baseband1 = f.pilot_baseband1;
+  pilot_baseband2 = f.pilot_baseband2;
+  pilot_lpf1 = f.pilot_lpf1;
+  pilot_lpf2 = f.pilot_lpf2;
+
+  % down convert latest nin samples of pilot by multiplying by ideal
+  % BPSK pilot signal we have generated locally.  The peak of the DFT
+  % of the resulting signal is sensitive to the time shift between the
+  % received and local version of the pilot, so we do it twice at
+  % different time shifts and choose the maximum.
+ 
+  pilot_baseband1(1:Npilotbaseband-nin) = pilot_baseband1(nin+1:Npilotbaseband);
+  pilot_baseband2(1:Npilotbaseband-nin) = pilot_baseband2(nin+1:Npilotbaseband);
+  for i=1:nin
+    pilot_baseband1(Npilotbaseband-nin+i) = rx_fdm(i) * conj(pilot(i)); 
+    pilot_baseband2(Npilotbaseband-nin+i) = rx_fdm(i) * conj(pilot_prev(i)); 
+  end
+
+  [foff1 max1 pilot_lpf1 S1] = lpf_peak_pick(f, pilot_baseband1, pilot_lpf1, nin, do_fft);
+  [foff2 max2 pilot_lpf2 S2] = lpf_peak_pick(f, pilot_baseband2, pilot_lpf2, nin, do_fft);
+
+  if max1 > max2
+    foff = foff1;
+  else
+    foff = foff2;
+  end  
+
+  f.pilot_baseband1 = pilot_baseband1;
+  f.pilot_baseband2 = pilot_baseband2;
+  f.pilot_lpf1 = pilot_lpf1;
+  f.pilot_lpf2 = pilot_lpf2;
+endfunction
+
+% Experimental "feed forward" phase estimation function - estimates
+% phase over a windows of Nph (e.g. Nph = 9) symbols.  May not work
+% well on HF channels but lets see.  Has a phase ambiguity of m(pi/4)
+% where m=0,1,2 which needs to be corrected outside of this function
+
+function [phase_offsets ferr f] = rx_est_phase(f, rx_symbols)
+  global rx_symbols_mem;
+  global prev_phase_offsets;
+  global phase_amb;
+  Nph = f.Nph;
+  Nc = f.Nc;
+
+  % keep record of Nph symbols
+
+  rx_symbols_mem(:,1:Nph-1) = rx_symbols_mem(:,2:Nph);
+  rx_symbols_mem(:,Nph) = rx_symbols;
+ 
+  % estimate and correct phase offset based of modulation stripped samples
+
+  phase_offsets = zeros(Nc+1,1);
+  for c=1:Nc+1
+
+    % rotate QPSK constellation to a single point
+    mod_stripped = abs(rx_symbols_mem(c,:)) .* exp(j*4*angle(rx_symbols_mem(c,:)));
+    
+    % find average phase offset, which will be on -pi/4 .. pi/4
+    sum_real = sum(real(mod_stripped));
+    sum_imag = sum(imag(mod_stripped));
+    phase_offsets(c) = atan2(sum_imag, sum_real)/4;
+
+    % determine if phase has jumped from - -> +    
+    if (prev_phase_offsets(c) < -pi/8) && (phase_offsets(c) > pi/8)
+      phase_amb(c) -= pi/2;
+      if (phase_amb(c) < -pi)
+        phase_amb(c) += 2*pi;
+      end
+    end
+    
+    % determine if phase has jumped from + -> -    
+    if (prev_phase_offsets(c) > pi/8) && (phase_offsets(c) < -pi/8)
+      phase_amb(c) += pi/2;
+      if (phase_amb(c) > pi)
+        phase_amb(c) -= 2*pi;
+      end
+    end
+  end
+
+  ferr = mean(phase_offsets - prev_phase_offsets);
+  prev_phase_offsets = phase_offsets;
+
+endfunction
+
+
+% convert symbols back to an array of bits
+
+function [rx_bits sync_bit f_err phase_difference] = psk_to_bits(f, prev_rx_symbols, rx_symbols, modulation)
+  Nc = f.Nc;
+  Nb = f.Nb;
+
+  m4_binary_to_gray = [
+    bin2dec("00") 
+    bin2dec("01")
+    bin2dec("11")
+    bin2dec("10")
+  ];
+
+  m8_binary_to_gray = [
+    bin2dec("000")
+    bin2dec("001")
+    bin2dec("011")
+    bin2dec("010")
+    bin2dec("110")
+    bin2dec("111")
+    bin2dec("101")
+    bin2dec("100")
+  ];
+
+  m = 2 .^ Nb;
+  assert((m == 4) || (m == 8));
+
+  phase_difference = zeros(Nc+1,1);
+  for c=1:Nc 
+     norm = 1/(1E-6+abs(prev_rx_symbols(c)));  
+     phase_difference(c) = rx_symbols(c) .* conj(prev_rx_symbols(c)) * norm;
+  end
+
+  for c=1:Nc
+    phase_difference(c) *= exp(j*pi/4);
+
+    if m == 4
+
+        % to get a good match between C and Octave during start up use same as C code
+
+        d = phase_difference(c);
+        if (real(d) >= 0) && (imag(d) >= 0)
+          msb = 0; lsb = 0;
+        end
+        if (real(d) < 0) && (imag(d) >= 0)
+          msb = 0; lsb = 1;
+        end
+        if (real(d) < 0) && (imag(d) < 0)
+          msb = 1; lsb = 1;
+        end
+        if (real(d) >= 0) && (imag(d) < 0)
+          msb = 1; lsb = 0;
+        end
+          
+        rx_bits(2*(c-1)+1) = msb;
+        rx_bits(2*c) = lsb;
+    else
+      % determine index of constellation point received 0,1,...,m-1
+
+      index = floor(angle(phase_difference(c))*m/(2*pi) + 0.5);
+
+      if index < 0
+        index += m;
+      end
+
+      % map to decimal version of bits encoded in symbol
+
+      if m == 4
+        bits_decimal = m4_binary_to_gray(index+1);
+      else
+        bits_decimal = m8_binary_to_gray(index+1);
+      end
+    
+      % convert back to an array of received bits
+
+      for i=1:Nb
+        if bitand(bits_decimal, 2.^(Nb-i))
+          rx_bits((c-1)*Nb+i) = 1;
+        else
+          rx_bits((c-1)*Nb+i) = 0;
+        end
+      end
+    end
+  end
+
+  assert(length(rx_bits) == Nc*Nb);
+
+  % Extract DBPSK encoded Sync bit
+
+  norm = 1/(1E-6+abs(prev_rx_symbols(Nc+1)));
+  phase_difference(Nc+1) = rx_symbols(Nc+1) * conj(prev_rx_symbols(Nc+1)) * norm;
+  if (real(phase_difference(Nc+1)) < 0)
+    sync_bit = 1;
+    f_err = imag(phase_difference(Nc+1))*norm;  % make f_err magnitude insensitive
+  else
+    sync_bit = 0;
+    f_err = -imag(phase_difference(Nc+1))*norm;
+  end
+
+  % extra pi/4 rotation as we need for snr_update and scatter diagram
+  
+  phase_difference(Nc+1) *= exp(j*pi/4);
+  
+endfunction
+
+
+% given phase differences update estimates of signal and noise levels
+
+function [sig_est noise_est] = snr_update(f, sig_est, noise_est, phase_difference)
+    snr_coeff = f.snr_coeff;
+    Nc = f.Nc;
+
+    % mag of each symbol is distance from origin, this gives us a
+    % vector of mags, one for each carrier.
+
+    s = abs(phase_difference);
+    
+    % signal mag estimate for each carrier is a smoothed version
+    % of instantaneous magntitude, this gives us a vector of smoothed
+    % mag estimates, one for each carrier.
+    
+    sig_est = snr_coeff*sig_est + (1 - snr_coeff)*s;
+
+    %printf("s: %f sig_est: %f snr_coeff: %f\n", s(1), sig_est(1), snr_coeff);
+
+    % noise mag estimate is distance of current symbol from average
+    % location of that symbol.  We reflect all symbols into the first
+    % quadrant for convenience.
+    
+    refl_symbols = abs(real(phase_difference)) + j*abs(imag(phase_difference));    
+    n = abs(exp(j*pi/4)*sig_est - refl_symbols);
+     
+    % noise mag estimate for each carrier is a smoothed version of
+    % instantaneous noise mag, this gives us a vector of smoothed
+    % noise power estimates, one for each carrier.
+
+    noise_est = snr_coeff*noise_est + (1 - snr_coeff)*n;
+
+endfunction
+
+
+% calculate current sig estimate for eeach carrier
+
+function snr_dB = calc_snr(f, sig_est, noise_est)
+  Rs = f.Rs;
+
+  % find total signal power by summing power in all carriers
+
+  S = sum(sig_est .^2);
+  SdB = 10*log10(S);
+
+  % Average noise mag across all carriers and square to get an average
+  % noise power.  This is an estimate of the noise power in Rs = 50Hz of
+  % BW (note for raised root cosine filters Rs is the noise BW of the
+  % filter)
+
+  N50 = mean(noise_est).^2;
+  N50dB = 10*log10(N50);
+
+  % Now multiply by (3000 Hz)/(50 Hz) to find the total noise power in
+  % 3000 Hz
+
+  N3000dB = N50dB + 10*log10(3000/Rs);
+
+  snr_dB = SdB - N3000dB;
+
+endfunction
+
+
+% sets up test bits system.  make sure rand('state', 1) has just beed called
+% so we generate the right test_bits pattern!
+
+function f = init_test_bits(f)
+  f.Ntest_bits  = f.Nc*f.Nb*4;                % length of test sequence
+  f.test_bits = rand(1,f.Ntest_bits) > 0.5;   % test pattern of bits
+  f.current_test_bit = 1;
+  f.rx_test_bits_mem = zeros(1,f.Ntest_bits);
+endfunction
+
+
+% returns nbits from a repeating sequence of random data
+
+function [bits f] = get_test_bits(f, nbits)
+
+  for i=1:nbits
+    bits(i) = f.test_bits(f.current_test_bit++);
+    
+    if (f.current_test_bit > f.Ntest_bits)
+      f.current_test_bit = 1;
+    endif
+  end
+ 
+endfunction
+
+
+% Accepts nbits from rx and attempts to sync with test_bits sequence.
+% if sync OK measures bit errors
+
+function [sync bit_errors error_pattern f] = put_test_bits(f, rx_bits)
+  Ntest_bits = f.Ntest_bits;    
+  
+  % Append to our memory
+
+  [m n] = size(rx_bits);
+  f.rx_test_bits_mem(1:f.Ntest_bits-n) = f.rx_test_bits_mem(n+1:f.Ntest_bits);
+  f.rx_test_bits_mem(f.Ntest_bits-n+1:f.Ntest_bits) = rx_bits;
+
+  % see how many bit errors we get when checked against test sequence
+
+  error_pattern = xor(f.test_bits, f.rx_test_bits_mem);
+  bit_errors = sum(error_pattern);
+
+  % if less than a thresh we are aligned and in sync with test sequence
+
+  ber = bit_errors/f.Ntest_bits;
+  
+  sync = 0;
+  if (ber < 0.2)
+    sync = 1;
+  endif
+endfunction
+
+% Generate M samples of DBPSK pilot signal for Freq offset estimation
+
+function [pilot_fdm bit symbol filter_mem phase] = generate_pilot_fdm(f, bit, symbol, filter_mem, phase, freq)
+  M = f.M;
+  Nfilter = f.Nfilter;
+  gt_alpha5_root = f.gt_alpha5_root;
+
+  % +1 -1 +1 -1 DBPSK sync carrier, once filtered becomes two spectral
+  % lines at +/- Rs/2
+ 
+  if bit
+     symbol = -symbol;
+  else
+     symbol = symbol;
+  end
+  if bit 
+    bit = 0;
+  else
+    bit = 1;
+  end
+
+  % filter DPSK symbol to create M baseband samples
+
+  filter_mem(Nfilter) = (sqrt(2)/2)*symbol;
+  for i=1:M
+    tx_baseband(i) = M*filter_mem(M:M:Nfilter) * gt_alpha5_root(M-i+1:M:Nfilter)';
+  end
+  filter_mem(1:Nfilter-M) = filter_mem(M+1:Nfilter);
+  filter_mem(Nfilter-M+1:Nfilter) = zeros(1,M);
+
+  % upconvert
+
+  for i=1:M
+    phase = phase * freq;
+    pilot_fdm(i) = sqrt(2)*2*tx_baseband(i)*phase;
+  end
+
+endfunction
+
+
+% Generate a 4M sample vector of DBPSK pilot signal.  As the pilot signal
+% is periodic in 4M samples we can then use this vector as a look up table
+% for pilot signal generation in the demod.
+
+function pilot_lut = generate_pilot_lut(f)
+  Nc = f.Nc;
+  Nfilter = f.Nfilter;
+  M = f.M;
+  freq = f.freq;
+
+  % pilot states
+
+  pilot_rx_bit = 0;
+  pilot_symbol = sqrt(2);
+  pilot_freq = freq(Nc+1);
+  pilot_phase = 1;
+  pilot_filter_mem = zeros(1, Nfilter);
+  %prev_pilot = zeros(M,1);
+
+  pilot_lut = [];
+
+  F=8;
+
+  for fr=1:F
+    [pilot pilot_rx_bit pilot_symbol pilot_filter_mem pilot_phase] = generate_pilot_fdm(f, pilot_rx_bit, pilot_symbol, pilot_filter_mem, pilot_phase, pilot_freq);
+    %prev_pilot = pilot;
+    pilot_lut = [pilot_lut pilot];
+  end
+
+  % discard first 4 symbols as filter memory is filling, just keep last
+  % four symbols
+
+  pilot_lut = pilot_lut(4*M+1:M*F);
+
+endfunction
+
+
+% grab next pilot samples for freq offset estimation at demod
+
+function [pilot prev_pilot pilot_lut_index prev_pilot_lut_index] = get_pilot(f, pilot_lut_index, prev_pilot_lut_index, nin)
+  M = f.M;
+  pilot_lut = f.pilot_lut;
+
+  for i=1:nin
+    pilot(i) = pilot_lut(pilot_lut_index);
+    pilot_lut_index++;
+    if pilot_lut_index > 4*M
+      pilot_lut_index = 1;
+    end
+    prev_pilot(i) = pilot_lut(prev_pilot_lut_index);
+    prev_pilot_lut_index++;
+    if prev_pilot_lut_index > 4*M
+      prev_pilot_lut_index = 1;
+    end
+  end
+endfunction
+
+
+% freq offset state machine.  Moves between acquire and track states based
+% on BPSK pilot sequence.  Freq offset estimator occasionally makes mistakes
+% when used continuously.  So we use it until we have acquired the BPSK pilot,
+% then switch to a more robust tracking algorithm.  If we lose sync we switch
+% back to acquire mode for fast-requisition.
+
+function [sync reliable_sync_bit state timer sync_mem] = freq_state(f, sync_bit, state, timer, sync_mem)
+  Nsync_mem = f.Nsync_mem;
+  sync_uw = f.sync_uw;
+
+  % look for 6 symbol (120ms) 010101 of sync sequence
+
+  unique_word = 0;
+  for i=1:Nsync_mem-1
+    sync_mem(i) = sync_mem(i+1);
+  end
+  sync_mem(Nsync_mem) = 1 - 2*sync_bit;
+  corr = 0;
+  for i=1:Nsync_mem
+    corr += sync_mem(i)*sync_uw(i);
+  end
+  if abs(corr) == Nsync_mem
+    unique_word = 1;
+  end
+  reliable_sync_bit = (corr == Nsync_mem);
+  
+  % iterate state machine
+
+  next_state = state;
+  if state == 0
+    if unique_word
+      next_state = 1;
+      timer = 0;
+    end        
+  end
+  if state == 1
+    if unique_word
+      timer++;
+      if timer == 25       % sync has been good for 500ms
+        next_state = 2;
+      end
+    else 
+      next_state = 0;
+    end        
+  end
+  if state == 2            % good sync state
+    if unique_word == 0
+      timer = 0;
+      next_state = 3;
+    end
+  end
+  if state == 3            % tentative bad  state, but could be a fade
+    if unique_word
+      next_state = 2;
+    else 
+      timer++;
+      if timer == 50       % wait for 1000ms in case sync comes back  
+        next_state = 0;
+      end
+    end        
+  end
+
+  %printf("corr: % -d state: %d next_state: %d uw: %d timer: %d\n", corr, state, next_state, unique_word, timer);
+  state = next_state;
+
+  if state
+    sync = 1;
+  else
+    sync = 0;
+  end
+endfunction
+
+% Save test bits to a text file in the form of a C array
+
+function test_bits_file(filename)
+  global test_bits;
+  global Ntest_bits;
+
+  f=fopen(filename,"wt");
+  fprintf(f,"/* Generated by test_bits_file() Octave function */\n\n");
+  fprintf(f,"const int test_bits[]={\n");
+  for m=1:Ntest_bits-1
+    fprintf(f,"  %d,\n",test_bits(m));
+  endfor
+  fprintf(f,"  %d\n};\n",test_bits(Ntest_bits));
+  fclose(f);
+endfunction
+
+
+% Saves RN filter coeffs to a text file in the form of a C array
+
+function rn_file(gt_alpha5_root, filename)
+  Nfilter = length(gt_alpha5_root);
+
+  f=fopen(filename,"wt");
+  fprintf(f,"/* Generated by rn_file() Octave function */\n\n");
+  fprintf(f,"const float gt_alpha5_root[]={\n");
+  for m=1:Nfilter-1
+    fprintf(f,"  %g,\n",gt_alpha5_root(m));
+  endfor
+  fprintf(f,"  %g\n};\n",gt_alpha5_root(Nfilter));
+  fclose(f);
+endfunction
+
+
+% Saves rx decimation filter coeffs to a text file in the form of a C array
+
+function rxdec_file(fdmdv, filename)
+  rxdec_coeff = fdmdv.rxdec_coeff;
+  Nrxdec = fdmdv.Nrxdec;
+
+  f=fopen(filename,"wt");
+  fprintf(f,"/* Generated by rxdec_file() Octave function */\n\n");
+  fprintf(f,"const float rxdec_coeff[]={\n");
+  for m=1:Nrxdec-1
+    fprintf(f,"  %g,\n",rxdec_coeff(m));
+  endfor
+  fprintf(f,"  %g\n};\n",rxdec_coeff(Nrxdec));
+  fclose(f);
+endfunction
+
+
+function pilot_coeff_file(fdmdv, filename)
+  pilot_coeff = fdmdv.pilot_coeff;
+  Npilotcoeff = fdmdv.Npilotcoeff;
+
+  f=fopen(filename,"wt");
+  fprintf(f,"/* Generated by pilot_coeff_file() Octave function */\n\n");
+  fprintf(f,"const float pilot_coeff[]={\n");
+  for m=1:Npilotcoeff-1
+    fprintf(f,"  %g,\n",pilot_coeff(m));
+  endfor
+  fprintf(f,"  %g\n};\n",pilot_coeff(Npilotcoeff));
+  fclose(f);
+endfunction
+
+
+% Saves hanning window coeffs to a text file in the form of a C array
+
+function hanning_file(fdmdv, filename)
+  Npilotlpf = fdmdv.Npilotlpf;
+
+  h = hanning(Npilotlpf);
+
+  f=fopen(filename,"wt");
+  fprintf(f,"/* Generated by hanning_file() Octave function */\n\n");
+  fprintf(f,"const float hanning[]={\n");
+  for m=1:Npilotlpf-1
+    fprintf(f,"  %g,\n", h(m));
+  endfor
+  fprintf(f,"  %g\n};\n", h(Npilotlpf));
+  fclose(f);
+endfunction
+
+
+function png_file(fig, pngfilename)
+  figure(fig);
+
+  pngname = sprintf("%s.png",pngfilename);
+  print(pngname, '-dpng', "-S500,500")
+  pngname = sprintf("%s_large.png",pngfilename);
+  print(pngname, '-dpng', "-S800,600")
+endfunction
+
+
+% dump rx_bits in hex
+
+function dump_bits(rx_bits)
+
+    % pack into bytes, MSB first
+
+    packed = zeros(1,floor(length(rx_bits)+7)/8);
+    bit = 7; byte = 1;
+    for i=1:length(rx_bits)
+        packed(byte) = bitor(packed(byte), bitshift(rx_bits(i),bit));
+        bit--;
+        if (bit < 0)
+            bit = 7;
+            byte++;
+        end 
+    end
+
+    for i=1:length(packed)
+        printf("0x%02x ", packed(i)); 
+    end
+    printf("\n");
+
+endfunction
+
diff --git a/octave/fdmdv_common.m b/octave/fdmdv_common.m
new file mode 100644
index 0000000..25534ff
--- /dev/null
+++ b/octave/fdmdv_common.m
@@ -0,0 +1,221 @@
+% fdmdv_common.m
+%
+% Functions that implement a Frequency Division Multiplexed Modem functions
+%
+
+1;
+
+% Given Nc symbols construct M samples (1 symbol) of Nc filtered
+% symbols streams
+
+function [tx_baseband fdmdv] = tx_filter(fdmdv, tx_symbols)
+  Nc = fdmdv.Nc;
+  M = fdmdv.M;
+  tx_filter_memory = fdmdv.tx_filter_memory;
+  Nfilter = fdmdv.Nfilter;
+  gt_alpha5_root = fdmdv.gt_alpha5_root;
+
+  tx_baseband = zeros(Nc+1,M);
+
+  % tx filter each symbol, generate M filtered output samples for each symbol.
+  % Efficient polyphase filter techniques used as tx_filter_memory is sparse
+  
+  tx_filter_memory(:,Nfilter) = sqrt(2)/2*tx_symbols;
+
+  for i=1:M
+    tx_baseband(:,i) = M*tx_filter_memory(:,M:M:Nfilter) * gt_alpha5_root(M-i+1:M:Nfilter)';
+  end
+  tx_filter_memory(:,1:Nfilter-M) = tx_filter_memory(:,M+1:Nfilter);
+  tx_filter_memory(:,Nfilter-M+1:Nfilter) = zeros(Nc+1,M);
+
+  fdmdv.tx_filter_memory = tx_filter_memory;
+endfunction
+
+% Construct FDM signal by frequency shifting each filtered symbol
+% stream.  Returns complex signal so we can apply frequency offsets
+% easily.
+
+function [tx_fdm fdmdv] = fdm_upconvert(fdmdv, tx_filt)
+  Fs = fdmdv.Fs;
+  M = fdmdv.M;
+  Nc = fdmdv.Nc;
+  Fsep = fdmdv.Fsep;
+  phase_tx = fdmdv.phase_tx;
+  freq = fdmdv.freq;
+  fbb_rect = fdmdv.fbb_rect;
+  fbb_phase_tx = fdmdv.fbb_phase_tx;
+
+  tx_fdm = zeros(1,M);
+
+  % Nc+1 tones
+  
+  for c=1:Nc+1
+      for i=1:M
+        phase_tx(c) = phase_tx(c) * freq(c);
+	tx_fdm(i) = tx_fdm(i) + tx_filt(c,i)*phase_tx(c);
+      end
+  end
+ 
+  % shift up to carrier freq
+
+  for i=1:M
+    fbb_phase_tx *= fbb_rect;
+    tx_fdm(i)     = tx_fdm(i) * fbb_phase_tx;  
+  end
+
+  % Scale such that total Carrier power C of real(tx_fdm) = Nc.  This
+  % excludes the power of the pilot tone.
+  % We return the complex (single sided) signal to make frequency
+  % shifting for the purpose of testing easier
+
+  tx_fdm = 2*tx_fdm;
+
+  % normalise digital oscillators as the magnitude can drift over time
+
+  for c=1:Nc+1
+    mag = abs(phase_tx(c));
+    phase_tx(c) /= mag;
+  end
+  mag = abs(fbb_phase_tx);
+  fbb_phase_tx /= mag;
+
+  fdmdv.fbb_phase_tx = fbb_phase_tx;
+  fdmdv.phase_tx = phase_tx;
+endfunction
+
+% complex freq shifting helper function
+
+function [out phase] = freq_shift(in, freqHz, Fs, phase)
+  freq_rect = exp(j*2*pi*freqHz/Fs);
+
+  out = zeros(1, length(in));
+  for r=1:length(in)
+    phase *= freq_rect;
+    out(r) = in(r)*phase;
+  end
+
+  mag = abs(phase);
+  phase /= mag;
+endfunction
+
+% Frequency shift each modem carrier down to Nc+1 baseband signals
+
+function [rx_baseband fdmdv] = fdm_downconvert(fdmdv, rx_fdm, nin)
+  Fs = fdmdv.Fs;
+  M = fdmdv.M;
+  Nc = fdmdv.Nc;
+  phase_rx = fdmdv.phase_rx;
+  freq = fdmdv.freq;
+
+  rx_baseband = zeros(Nc+1,nin);
+  
+  for c=1:Nc+1
+      for i=1:nin
+        phase_rx(c) = phase_rx(c) * freq(c);
+	rx_baseband(c,i) = rx_fdm(i)*phase_rx(c)';
+      end
+  end
+
+  for c=1:Nc+1
+    mag = abs(phase_rx(c));
+    phase_rx(c) /= mag;
+  end
+
+  fdmdv.phase_rx = phase_rx;
+endfunction
+
+% Receive filter each baseband signal at oversample rate P
+
+function [rx_filt fdmdv] = rx_filter(fdmdv, rx_baseband, nin)
+  Nc = fdmdv.Nc;
+  M = fdmdv.M;
+  P = fdmdv.P;
+  rx_filter_memory = fdmdv.rx_filter_memory;
+  Nfilter = fdmdv.Nfilter;
+  gt_alpha5_root = fdmdv.gt_alpha5_root;
+
+  rx_filt = zeros(Nc+1,nin*P/M);
+
+  % rx filter each symbol, generate P filtered output samples for each symbol.
+  % Note we keep memory at rate M, it's just the filter output at rate P
+
+  assert(mod(M,P)==0);
+  N=M/P;
+  j=1;
+  for i=1:N:nin
+    rx_filter_memory(:,Nfilter-N+1:Nfilter) = rx_baseband(:,i:i-1+N);
+    rx_filt(:,j) = rx_filter_memory * gt_alpha5_root';
+    rx_filter_memory(:,1:Nfilter-N) = rx_filter_memory(:,1+N:Nfilter);
+    j+=1;
+  end
+
+  fdmdv.rx_filter_memory = rx_filter_memory;
+endfunction
+
+% Estimate optimum timing offset, re-filter receive symbols
+
+function [rx_symbols rx_timing_M env fdmdv] = rx_est_timing(fdmdv, rx_filt, nin)
+  M = fdmdv.M;
+  Nt = fdmdv.Nt;
+  Nc = fdmdv.Nc;
+  rx_filter_mem_timing = fdmdv.rx_filter_mem_timing;
+  P = fdmdv.P;
+  Nfilter = fdmdv.Nfilter;
+  Nfiltertiming = fdmdv.Nfiltertiming;
+
+  % nin  adjust 
+  % --------------------------------
+  % 120  -1 (one less rate P sample)
+  % 160   0 (nominal)
+  % 200   1 (one more rate P sample)
+
+  adjust = P - nin*P/M;
+
+  % update buffer of Nt rate P filtered symbols
+
+  rx_filter_mem_timing(:,1:(Nt-1)*P+adjust) = rx_filter_mem_timing(:,P+1-adjust:Nt*P);
+  rx_filter_mem_timing(:,(Nt-1)*P+1+adjust:Nt*P) = rx_filt(:,:);
+
+  % sum envelopes of all carriers
+
+  env = sum(abs(rx_filter_mem_timing(:,:))); % use all Nc+1 carriers for timing
+  %env = abs(rx_filter_mem_timing(Nc+1,:));  % just use BPSK pilot
+  [n m] = size(env);
+
+  % The envelope has a frequency component at the symbol rate.  The
+  % phase of this frequency component indicates the timing.  So work out
+  % single DFT at frequency 2*pi/P
+
+  x = env * exp(-j*2*pi*(0:m-1)/P)';
+  
+  norm_rx_timing = angle(x)/(2*pi);
+  rx_timing = norm_rx_timing*P + P/4;
+  if (rx_timing > P)
+     rx_timing -= P;
+  end
+  if (rx_timing < -P)
+     rx_timing += P;
+  end
+
+  % rx_filter_mem_timing contains Nt*P samples (Nt symbols at rate P),
+  % where Nt is odd.  Lets use linear interpolation to resample in the
+  % centre of the timing estimation window
+
+  rx_timing += floor(Nt/2)*P;
+  low_sample = floor(rx_timing);
+  fract = rx_timing - low_sample;
+  high_sample = ceil(rx_timing);
+  %printf("rx_timing: %f low_sample: %f high_sample: %f fract: %f\n", rx_timing, low_sample, high_sample, fract);
+  
+  rx_symbols = rx_filter_mem_timing(:,low_sample)*(1-fract) + rx_filter_mem_timing(:,high_sample)*fract;
+  % rx_symbols = rx_filter_mem_timing(:,high_sample+1);
+
+  % This value will be +/- half a symbol so will wrap around at +/-
+  % M/2 or +/- 80 samples with M=160
+
+  rx_timing_M = norm_rx_timing*M;
+
+  fdmdv.rx_filter_mem_timing = rx_filter_mem_timing;
+endfunction
+
+
diff --git a/octave/fdmdv_demod.m b/octave/fdmdv_demod.m
new file mode 100644
index 0000000..9ebd165
--- /dev/null
+++ b/octave/fdmdv_demod.m
@@ -0,0 +1,365 @@
+% fdmdv_demod.m
+%
+% Demodulator function for FDMDV modem (Octave version).  Requires
+% 8kHz sample rate raw files as input
+%
+% Copyright David Rowe 2012
+% This program is distributed under the terms of the GNU General Public License 
+% Version 2
+%
+
+function fdmdv_demod(rawfilename, nbits, NumCarriers=14, errorpatternfilename, symbolfilename)
+  pkg load signal;
+  fdmdv; % include modem code
+  f = fdmdv_init(NumCarriers);
+  Nc = f.Nc; Nb = f.Nb; Rs = f.Rs; M = f.M; Fs = f.Fs; Nsync_mem = f.Nsync_mem;
+  test_bits = f.test_bits; Q = f.Q; P = f.P;
+
+  modulation = 'dqpsk';
+
+  fin = fopen(rawfilename, "rb");
+  gain = 1000;
+  frames = nbits/(Nc*Nb);
+
+  prev_rx_symbols = ones(Nc+1,1);
+  foff_phase_rect = 1;
+
+  % BER stats
+
+  total_bit_errors = 0;
+  total_bits = 0;
+  bit_errors_log = [];
+  sync_log = [];
+  test_frame_sync_log = [];
+  test_frame_sync_state = 0;
+  error_pattern_log = [];
+
+  % SNR states
+
+  sig_est = zeros(Nc+1,1);
+  noise_est = zeros(Nc+1,1);
+
+  % logs of various states for plotting
+
+  rx_symbols_log = [];
+  rx_timing_log = [];
+  foff_coarse_log = [];
+  foff_log = [];
+  rx_fdm_log = [];
+  snr_est_log = [];
+
+  % misc states
+
+  nin = M;                 % timing correction for sample rate differences
+  foff = 0;
+
+  fest_state = 0;
+  fest_timer = 0;
+  sync_mem = zeros(1,Nsync_mem);
+  sync = 0;
+  sync_log = [];
+
+  % spectrum states
+
+  Nspec=1024;
+  spec_mem=zeros(1,Nspec);
+  SdB = zeros(1,Nspec);
+
+  % optionally save output symbols 
+
+  if nargin == 5
+    fm = fopen(symbolfilename,"wb");
+    dual_rx_symbols = zeros(1, 2*Nc);
+    dual_rx_bits = zeros(1,2*Nc*Nb);
+  end
+
+  atimer = 0;
+  
+  % Main loop ----------------------------------------------------
+
+  for fr=1:frames
+    
+    % obtain nin samples of the test input signal
+    
+    for i=1:nin
+      rx_fdm(i) = fread(fin, 1, "short")/gain;
+    end
+    
+    rx_fdm_log = [rx_fdm_log rx_fdm(1:nin)];
+
+    % update spectrum
+
+    l=length(rx_fdm);
+    spec_mem(1:Nspec-l) = spec_mem(l+1:Nspec);
+    spec_mem(Nspec-l+1:Nspec) = rx_fdm;
+    S=fft(spec_mem.*hanning(Nspec)',Nspec);
+    SdB = 0.9*SdB + 0.1*20*log10(abs(S));
+
+    % shift down to complex baseband
+
+    for i=1:nin
+      f.fbb_phase_rx = f.fbb_phase_rx*f.fbb_rect';
+      rx_fdm(i) = rx_fdm(i)*f.fbb_phase_rx;
+    end
+    mag = abs(f.fbb_phase_rx);
+    f.fbb_phase_rx /= mag;
+
+    % frequency offset estimation and correction
+
+    [pilot prev_pilot f.pilot_lut_index f.prev_pilot_lut_index] = get_pilot(f, f.pilot_lut_index, f.prev_pilot_lut_index, nin);
+    [foff_coarse S1 S2 f] = rx_est_freq_offset(f, rx_fdm, pilot, prev_pilot, nin, !sync );
+    
+    if sync == 0
+      foff = foff_coarse;
+    end
+    foff_coarse_log = [foff_coarse_log foff_coarse];
+
+    foff_rect = exp(j*2*pi*foff/Fs);
+
+    for i=1:nin
+      foff_phase_rect *= foff_rect';
+      rx_fdm_fcorr(i) = rx_fdm(i)*foff_phase_rect;
+    end
+
+    % baseband processing
+
+    if 0
+      % easier to understand, but more memory and CPU hungry filtering and down conversion
+
+      [rx_baseband f] = fdm_downconvert(f, rx_fdm_fcorr, nin);
+      [rx_filt f] = rx_filter(f, rx_baseband, nin);
+    else
+      % more efficient filtering and down conversion
+    
+      [rx_fdm_filter f] = rxdec_filter(f, rx_fdm_fcorr, nin);
+      [rx_filt f] = down_convert_and_rx_filter(f, rx_fdm_filter, nin, M/Q);
+    end
+
+    [rx_symbols rx_timing env f] = rx_est_timing(f, rx_filt, nin);
+    rx_timing_log = [rx_timing_log rx_timing];
+
+    nin = M;    
+    if rx_timing > M/P
+      nin += M/P;
+    end
+    if rx_timing < -M/P;
+      nin -= M/P;
+    end
+    %printf("fr: %d rx_timing: %d nin = %d\n", fr, rx_timing, nin);
+    
+    rx_symbols_log = [rx_symbols_log rx_symbols.*conj(prev_rx_symbols./abs(prev_rx_symbols))*exp(j*pi/4)];
+    [rx_bits sync_bit f_err pd] = psk_to_bits(f, prev_rx_symbols, rx_symbols, modulation);
+
+    % optionally save output symbols 
+
+    if (nargin == 5)
+
+      % this free runs, and is reset by an "entered sync" state
+
+      if (sync_track == 0)
+         sync_track = 1;
+      else
+         sync_track = 0; 
+      end
+      
+      if (track == 1) && (sync_track == 1)
+          dual_rx_symbols(Nc+1:2*Nc) = rx_symbols(1:Nc).*conj(prev_rx_symbols(1:Nc)./abs(prev_rx_symbols(1:Nc)));
+          dual_rx_symbols_float32 = []; k = 1;
+          for i=1:2*Nc
+              dual_rx_symbols_float32(k++) = real(dual_rx_symbols(i));
+              dual_rx_symbols_float32(k++) = imag(dual_rx_symbols(i));
+          end
+          fwrite(fm, dual_rx_symbols_float32, "float32");
+          dual_rx_bits(Nc*Nb+1:2*Nc*Nb) = rx_bits;
+          %dump_bits(dual_rx_bits);
+      else
+          dual_rx_symbols(1:Nc) = rx_symbols(1:Nc).*conj(prev_rx_symbols(1:Nc)./abs(prev_rx_symbols(1:Nc)));
+          dual_rx_bits(1:Nc*Nb) = rx_bits;
+      end
+    end
+
+    % update some states
+
+    prev_rx_symbols = rx_symbols;
+    [sig_est noise_est] = snr_update(f, sig_est, noise_est, pd);
+    snr_est = calc_snr(f, sig_est, noise_est);
+    snr_est_log = [snr_est_log snr_est];
+    foff -= 0.5*f_err;
+    foff_log = [foff_log foff];
+
+    % freq est state machine
+
+    [sync reliable_sync_bit fest_state fest_timer sync_mem] = freq_state(f, sync_bit, fest_state, fest_timer, sync_mem);
+    sync_log = [sync_log sync];
+
+    % count bit errors if we find a test frame
+
+    [test_frame_sync bit_errors error_pattern f] = put_test_bits(f, rx_bits);
+    if (test_frame_sync == 1)
+      if (bit_errors)
+        printf("fr: %d bit_errors: %d\n", fr, bit_errors);
+      end
+      total_bit_errors = total_bit_errors + bit_errors;
+      total_bits = total_bits + f.Ntest_bits;
+      bit_errors_log = [bit_errors_log bit_errors/f.Ntest_bits];
+    else
+      bit_errors_log = [bit_errors_log 0];
+    end
+
+    % test frame sync state machine, just for more informative plots
+    
+    next_test_frame_sync_state = test_frame_sync_state;
+    if (test_frame_sync_state == 0)
+      if (test_frame_sync == 1)      
+        next_test_frame_sync_state = 1;
+	test_frame_count = 0;
+      end
+    end
+
+    if (test_frame_sync_state == 1)
+      % we only expect another test_frame_sync pulse every 4 symbols
+      test_frame_count++;
+      if (test_frame_count == 4)
+        test_frame_count = 0;
+        if ((test_frame_sync == 0))      
+          next_test_frame_sync_state = 0;
+        else
+          error_pattern_log = [error_pattern_log error_pattern];
+        end
+      end
+    end
+
+    test_frame_sync_state = next_test_frame_sync_state;
+    test_frame_sync_log = [test_frame_sync_log test_frame_sync_state];
+  end
+ 
+  if nargin == 5
+    fclose(fm);
+    etfilename = strcat(strtok(symbolfilename,"."),"_et.bin");
+    fet = fopen(etfilename, "wb");
+    fwrite(fet, entered_track_log, "short");
+    fclose(fet);
+  end
+
+  % ---------------------------------------------------------------------
+  % Print Stats
+  % ---------------------------------------------------------------------
+
+  % Peak to Average Power Ratio calcs from http://www.dsplog.com
+
+  papr = max(rx_fdm_log.*conj(rx_fdm_log)) / mean(rx_fdm_log.*conj(rx_fdm_log));
+  papr_dB = 10*log10(papr);
+
+  ber = total_bit_errors / total_bits;
+  printf("%d bits  %d errors  BER: %1.4f PAPR(rx): %1.2f dB\n",total_bits, total_bit_errors, ber, papr_dB);
+
+  % ---------------------------------------------------------------------
+  % Plots
+  % ---------------------------------------------------------------------
+
+  xt = (1:frames)/Rs;
+  secs = frames/Rs;
+
+  figure(1); clf;
+  [n m] = size(rx_symbols_log);
+  plot(real(rx_symbols_log(1:Nc+1,15:m)),imag(rx_symbols_log(1:Nc+1,15:m)),'+')
+  axis([-2 2 -2 2]);
+  title('Scatter Diagram');
+
+  figure(2); clf;
+  plot(xt, rx_timing_log)
+  title('timing offset (samples)');
+  
+  figure(3);
+  plot(xt, foff_log, '-;freq offset;')
+  %hold on;
+  %plot(xt, sync_log*75, 'r;course-fine;');
+  %hold off;
+  title('Freq offset (Hz)');
+  grid;
+
+  figure(4); clf;
+  plot_specgram(rx_fdm_log, Fs);
+
+  figure(5); clf;
+  subplot(311)
+  stem(xt, sync_log)
+  axis([0 secs 0 1.5]);
+  title('BPSK Sync')
+  subplot(312)
+  stem(xt, bit_errors_log);
+  title('Bit Errors for test frames')
+  subplot(313)
+  plot(xt, test_frame_sync_log);
+  axis([0 secs 0 1.5]);
+  title('Test Frame Sync')
+
+  figure(6); clf;
+  subplot(211);
+  plot(xt, snr_est_log);
+  title('SNR Estimates')
+  subplot(212)
+  snrdB_pc = 20*log10(sig_est(1:Nc+1)) - 20*log10(noise_est(1:Nc+1));
+  bar(snrdB_pc(1:Nc) - mean(snrdB_pc(1:Nc)))
+  axis([0 Nc+1 -3 3]);
+
+  figure(7); clf;
+  hold on;
+  lep = length(error_pattern_log);
+  if lep != 0 
+    for p=1:Nc
+      plot(p + 0.25*error_pattern_log((p-1)*2+1:Nc*Nb:lep));
+      plot(0.30 + p + 0.25*error_pattern_log(p*2:Nc*Nb:lep),'r')
+    end
+    hold off;
+    axis([1 lep/(Nc*Nb) 0 Nc])
+  end
+
+  figure(8); clf;
+  subplot(211)
+  [a b] = size(rx_fdm_log);
+  xt1 = (1:b)/Fs;
+  plot(xt1, rx_fdm_log);
+  title('Rx FDM Signal');
+  subplot(212)
+  plot((0:Nspec/2-1)*Fs/Nspec, SdB(1:Nspec/2) - 20*log10(Nspec/2))
+  axis([0 Fs/2 -40 0])
+  grid
+  title('FDM Rx Spectrum');
+
+if 0
+  % interleaving tests
+
+  load ../unittest/inter560.txt
+  lep = length(error_pattern_log);
+  lep = floor(lep/560)*560;
+  error_pattern_log_inter = zeros(1,lep);
+  for i=1:560:lep
+    for j=1:560
+      %printf("i: %4d j: %4d inter560(j): %4d\n", i,j,inter560(j));
+      index = inter560(j);
+      error_pattern_log_inter(i-1+index+1) = error_pattern_log(i-1+j);
+    end
+  end
+
+  figure(8)
+  clf;
+  hold on;
+  for p=1:Nc
+    plot(p + 0.25*error_pattern_log_inter((p-1)*2+1:Nc*Nb:lep));
+    plot(0.30 + p + 0.25*error_pattern_log_inter(p*2:Nc*Nb:lep),'r')
+  end
+  hold off;
+  axis([1 lep/(Nc*Nb) 0 Nc])
+end
+
+  % optionally save error pattern file
+
+  if nargin == 4
+    fout = fopen(errorpatternfilename, "wb");
+    fwrite(fout, error_pattern_log, "short");
+    fclose(fout);
+  end
+
+
+endfunction
diff --git a/octave/fdmdv_demod_c.m b/octave/fdmdv_demod_c.m
new file mode 100644
index 0000000..0bf0a1e
--- /dev/null
+++ b/octave/fdmdv_demod_c.m
@@ -0,0 +1,134 @@
+% fdmdv_demod_c.m
+%
+% Plots Octave dump file information from C FDMDV demodulator program,
+% to give a similar set of plots to fdmdv_demod.m.  Useful for off
+% line analysis of demod performance.
+%
+% Copyright David Rowe 2012
+% This program is distributed under the terms of the GNU General Public License 
+% Version 2
+%
+
+function fdmdv_demod_c(dumpfilename, bits)
+  pkg load signal; 
+  fdmdv; % include modem code
+  f = fdmdv_init;
+  Nc = f.Nc; Nb = f.Nb; Rs = f.Rs; M = f.M; Fs = f.Fs;
+  
+  frames = bits/(Nc*Nb);
+
+  load(dumpfilename);
+
+  % BER stats
+
+  total_bit_errors = 0;
+  total_bits = 0;
+  bit_errors_log = [];
+  sync_log = [];
+  test_frame_sync_log = [];
+  test_frame_sync_state = 0;
+
+  % Run thru received bits to look for test pattern
+
+  bits_per_frame = Nc*Nb;
+
+  for fr=1:frames
+
+    rx_bits = rx_bits_log_c((fr-1)*bits_per_frame+1:fr*bits_per_frame);
+
+    % count bit errors if we find a test frame
+
+    [test_frame_sync bit_errors error_pattern f] = put_test_bits(f, rx_bits);
+    if (test_frame_sync == 1)
+      total_bit_errors = total_bit_errors + bit_errors;
+      total_bits = total_bits + f.Ntest_bits;
+      bit_errors_log = [bit_errors_log bit_errors/f.Ntest_bits];
+    else
+      bit_errors_log = [bit_errors_log 0];
+    end
+
+    % test frame sync state machine, just for more informative plots
+    
+    next_test_frame_sync_state = test_frame_sync_state;
+    if (test_frame_sync_state == 0)
+      if (test_frame_sync == 1)      
+        next_test_frame_sync_state = 1;
+	test_frame_count = 0;
+      end
+    end
+
+    if (test_frame_sync_state == 1)
+      % we only expect another test_frame_sync pulse every 4 symbols
+      test_frame_count++;
+      if (test_frame_count == 4)
+        test_frame_count = 0;
+        if ((test_frame_sync == 0))      
+          next_test_frame_sync_state = 0;
+        end
+      end
+    end
+    test_frame_sync_state = next_test_frame_sync_state;
+    test_frame_sync_log = [test_frame_sync_log test_frame_sync_state];
+  end
+
+  ber = total_bit_errors / total_bits;
+  printf("%d bits  %d errors  BER: %1.4f\n",total_bits, total_bit_errors, ber);
+
+  % ---------------------------------------------------------------------
+  % Plots
+  % ---------------------------------------------------------------------
+
+  xt = (1:frames)/Rs;
+  secs = frames/Rs;
+
+  figure(1)
+  clf;
+  plot(real(rx_symbols_log_c(1:Nc+1,15:frames)),imag(rx_symbols_log_c(1:Nc+1,15:frames)),'+')
+  %plot(real(rx_symbols_log_c(Nc+1,15:frames)),imag(rx_symbols_log_c(Nc+1,15:frames)),'+')
+  axis([-2 2 -2 2]);
+  title('Scatter Diagram');
+
+  figure(2)
+  clf;
+  subplot(211)
+  plot(xt, rx_timing_log_c(1:frames))
+  title('timing offset (samples)');
+  subplot(212)
+  plot(xt, foff_log_c(1:frames), '-;freq offset;')
+  hold on;
+  plot(xt, sync_log_c(1:frames)*75, 'r;course-fine;');
+  hold off;
+  title('Freq offset (Hz)');
+  grid
+
+  figure(3)
+  clf;
+  subplot(211)
+  b = M*frames;
+  xt1 = (1:b)/Fs;
+  plot(xt1, rx_fdm_log_c(1:b));
+  title('Rx FDM Signal');
+  subplot(212);
+  plot_specgram(rx_fdm_log_c(1:b), 8000);
+  title('FDM Rx Spectrogram');
+
+  figure(4)
+  clf;
+  subplot(311)
+  stem(xt, sync_bit_log_c(1:frames))
+  axis([0 secs 0 1.5]);
+  title('BPSK Sync')
+  subplot(312)
+  stem(xt, bit_errors_log);
+  title('Bit Errors for test frames')
+  subplot(313)
+  plot(xt, test_frame_sync_log);
+  axis([0 secs 0 1.5]);
+  title('Test Frame Sync')
+
+  figure(5)
+  clf;
+  plot(xt, snr_est_log_c(1:frames));
+  title('SNR Estimates')
+
+endfunction
diff --git a/octave/fdmdv_demod_coh.m b/octave/fdmdv_demod_coh.m
new file mode 100644
index 0000000..9f00574
--- /dev/null
+++ b/octave/fdmdv_demod_coh.m
@@ -0,0 +1,253 @@
+% fdmdv_demod_coh.m
+%
+% Demodulator function for FDMDV modem (Octave version).  Requires
+% 8kHz sample rate raw files as input.  This version uses experimental
+% pseudo coherent demodulation.
+%
+% Copyright David Rowe 2013
+% This program is distributed under the terms of the GNU General Public License 
+% Version 2
+%
+
+function fdmdv_demod_coh(rawfilename, nbits, pngname)
+
+  fdmdv; % include modem code
+
+  modulation = 'dqpsk';
+
+  fin = fopen(rawfilename, "rb");
+  gain = 1000;
+  frames = nbits/(Nc*Nb);
+
+  prev_rx_symbols = ones(Nc+1,1);
+  foff_phase = 1;
+
+  % BER stats
+
+  total_bit_errors = 0;
+  total_bits = 0;
+  bit_errors_log = [];
+  sync_log = [];
+  test_frame_sync_log = [];
+  test_frame_sync_state = 0;
+
+  % SNR states
+
+  sig_est = zeros(Nc+1,1);
+  noise_est = zeros(Nc+1,1);
+
+  % logs of various states for plotting
+
+  rx_symbols_log = [];
+  rx_timing_log = [];
+  foff_log = [];
+  rx_fdm_log = [];
+  snr_est_log = [];
+
+  % misc states
+
+  nin = M; % timing correction for sample rate differences
+  foff = 0;
+  track_log = [];
+  track = 0;
+  fest_state = 0;
+
+  % pseudo coherent demod states
+
+  rx_symbols_ph_log = [];
+  prev_rx_symbols_ph = ones(Nc+1,1);
+  rx_phase_offsets_log = [];
+  phase_amb_log = [];
+
+  % Main loop ----------------------------------------------------
+
+  for f=1:frames
+    
+    % obtain nin samples of the test input signal
+    
+    for i=1:nin
+      rx_fdm(i) = fread(fin, 1, "short")/gain;
+    end
+    
+    rx_fdm_log = [rx_fdm_log rx_fdm(1:nin)];
+
+    % frequency offset estimation and correction
+
+    [pilot prev_pilot pilot_lut_index prev_pilot_lut_index] = get_pilot(pilot_lut_index, prev_pilot_lut_index, nin);
+    [foff_coarse S1 S2] = rx_est_freq_offset(rx_fdm, pilot, prev_pilot, nin);
+    
+    if track == 0
+      foff  = foff_coarse;
+    end
+    foff_log = [ foff_log foff ];
+    foff_rect = exp(j*2*pi*foff/Fs);
+
+    for i=1:nin
+      foff_phase *= foff_rect';
+      rx_fdm(i) = rx_fdm(i)*foff_phase;
+    end
+
+    % baseband processing
+
+    rx_baseband = fdm_downconvert(rx_fdm, nin);
+    rx_filt = rx_filter(rx_baseband, nin);
+
+    [rx_symbols rx_timing] = rx_est_timing(rx_filt, rx_baseband, nin);    
+    rx_timing_log = [rx_timing_log rx_timing];
+
+    nin = M;
+    if rx_timing > 2*M/P
+       nin += M/P;
+    end
+    if rx_timing < 0;
+       nin -= M/P;
+    end
+
+    rx_symbols_log = [rx_symbols_log rx_symbols.*(conj(prev_rx_symbols)./abs(prev_rx_symbols))*exp(j*pi/4)];
+
+    % coherent phase offset estimation ------------------------------------
+
+    [rx_phase_offsets ferr] = rx_est_phase(rx_symbols);
+    rx_phase_offsets_log = [rx_phase_offsets_log rx_phase_offsets];
+    phase_amb_log = [phase_amb_log phase_amb];
+    rx_symbols_ph = rx_symbols_mem(:,floor(Nph/2)+1) .* exp(-j*(rx_phase_offsets + phase_amb));
+    rx_symbols_ph_log = [rx_symbols_ph_log rx_symbols_ph .* exp(j*pi/4)];
+    rx_symbols_ph = -1 + 2*(real(rx_symbols_ph .* exp(j*pi/4)) > 0) + j*(-1 + 2*(imag(rx_symbols_ph .* exp(j*pi/4)) > 0));
+
+    % Std differential (used for freq offset est and BPSK sync) and pseudo coherent detection -----------------------
+
+    [rx_bits_unused sync        f_err       pd       ] = qpsk_to_bits(prev_rx_symbols, rx_symbols, modulation);
+    [rx_bits        sync_unused ferr_unused pd_unused] = qpsk_to_bits(prev_rx_symbols_ph, rx_symbols_ph, 'dqpsk');
+ 
+    foff -= 0.5*f_err;
+    prev_rx_symbols = rx_symbols;
+    prev_rx_symbols_ph = rx_symbols_ph;
+    sync_log = [sync_log sync];
+
+    [sig_est noise_est] = snr_update(sig_est, noise_est, pd);
+    snr_est = calc_snr(sig_est, noise_est);
+    snr_est_log = [snr_est_log snr_est];
+
+    % freq est state machine
+
+    [track fest_state] = freq_state(sync, fest_state);
+    track_log = [track_log track];
+
+    % count bit errors if we find a test frame
+
+    [test_frame_sync bit_errors] = put_test_bits(test_bits, rx_bits);
+    if (test_frame_sync == 1)
+      total_bit_errors = total_bit_errors + bit_errors;
+      total_bits = total_bits + Ntest_bits;
+      bit_errors_log = [bit_errors_log bit_errors/Ntest_bits];
+    else
+      bit_errors_log = [bit_errors_log 0];
+    end
+
+    % test frame sync state machine, just for more informative plots
+    
+    next_test_frame_sync_state = test_frame_sync_state;
+    if (test_frame_sync_state == 0)
+      if (test_frame_sync == 1)      
+        next_test_frame_sync_state = 1;
+	test_frame_count = 0;
+      end
+    end
+
+    if (test_frame_sync_state == 1)
+      % we only expect another test_frame_sync pulse every 4 symbols
+      test_frame_count++;
+      if (test_frame_count == 4)
+        test_frame_count = 0;
+        if ((test_frame_sync == 0))      
+          next_test_frame_sync_state = 0;
+        end
+      end
+    end
+    test_frame_sync_state = next_test_frame_sync_state;
+    test_frame_sync_log = [test_frame_sync_log test_frame_sync_state];
+
+  end
+  
+  % ---------------------------------------------------------------------
+  % Print Stats
+  % ---------------------------------------------------------------------
+
+  ber = total_bit_errors / total_bits;
+
+  printf("%d bits  %d errors  BER: %1.4f\n",total_bits, total_bit_errors, ber);
+
+  % ---------------------------------------------------------------------
+  % Plots
+  % ---------------------------------------------------------------------
+
+  xt = (1:frames)/Rs;
+  secs = frames/Rs;
+
+  figure(1)
+  clf;
+  [n m] = size(rx_symbols_log);
+  plot(real(rx_symbols_log(1:Nc+1,15:m)),imag(rx_symbols_log(1:Nc+1,15:m)),'+')
+  axis([-2 2 -2 2]);
+  title('Scatter Diagram');
+
+  figure(2)
+  clf;
+  subplot(211)
+  plot(xt, rx_timing_log)
+  title('timing offset (samples)');
+  subplot(212)
+  plot(xt, foff_log, '-;freq offset;')
+  hold on;
+  plot(xt, track_log*75, 'r;course-fine;');
+  hold off;
+  title('Freq offset (Hz)');
+  grid
+
+  figure(3)
+  clf;
+  subplot(211)
+  [a b] = size(rx_fdm_log);
+  xt1 = (1:b)/Fs;
+  plot(xt1, rx_fdm_log);
+  title('Rx FDM Signal');
+  subplot(212)
+  spec(rx_fdm_log,8000);
+  title('FDM Rx Spectrogram');
+
+  figure(4)
+  clf;
+  subplot(311)
+  stem(xt, sync_log)
+  axis([0 secs 0 1.5]);
+  title('BPSK Sync')
+  subplot(312)
+  stem(xt, bit_errors_log);
+  title('Bit Errors for test frames')
+  subplot(313)
+  plot(xt, test_frame_sync_log);
+  axis([0 secs 0 1.5]);
+  title('Test Frame Sync')
+
+  figure(5)
+  clf;
+  plot(xt, snr_est_log);
+  title('SNR Estimates')
+ 
+  figure(6)
+  clf;
+  [n m] = size(rx_symbols_ph_log);
+  plot(real(rx_symbols_ph_log(1:Nc+1,15:m)),imag(rx_symbols_ph_log(1:Nc+1,15:m)),'+')
+  %plot(real(rx_symbols_ph_log(2,15:m)),imag(rx_symbols_ph_log(2,15:m)),'+')
+  axis([-2 2 -2 2]);
+  title('Scatter Diagram - after phase correction');
+
+  figure(7)
+  clf;
+  subplot(211)
+  plot(rx_phase_offsets_log(1,:))
+  subplot(212)
+  plot(phase_amb_log(1,:))
+  title('Rx Phase Offset Est')
+
+endfunction
diff --git a/octave/fdmdv_mod.m b/octave/fdmdv_mod.m
new file mode 100644
index 0000000..3530cfe
--- /dev/null
+++ b/octave/fdmdv_mod.m
@@ -0,0 +1,34 @@
+% fdmdv_mod.m
+%
+% Modulator function for FDMDV modem, uses test frames as input and
+% outputs a raw file of 16 bit shorts at a sample rate of 8 kHz.
+%
+% Copyright David Rowe 2012
+% This program is distributed under the terms of the GNU General Public License 
+% Version 2
+%
+
+function tx_fdm = fdmdv_mod(rawfilename, nbits)
+
+  fdmdv; % include modem code
+  f = fdmdv_init;
+  Nc = f.Nc; Nb = f.Nb;
+  
+  frames = floor(nbits/(Nc*Nb))
+  tx_fdm = [];
+  gain = 1000; % Scale up to 16 bit shorts
+  prev_tx_symbols = ones(Nc+1,1); prev_tx_symbols(Nc+1) = 2;
+
+  for i=1:frames
+    [tx_bits f] = get_test_bits(f,Nc*Nb);
+    [tx_symbols f] = bits_to_psk(f,prev_tx_symbols, tx_bits);
+    prev_tx_symbols = tx_symbols;
+    [tx_baseband f] = tx_filter(f, tx_symbols);
+    tx_fdm = [tx_fdm real(fdm_upconvert(f, tx_baseband))];
+  end
+
+  tx_fdm *= gain;
+  fout = fopen(rawfilename,"wb");
+  fwrite(fout, tx_fdm, "short");
+  fclose(fout);
+endfunction
diff --git a/octave/fdmdv_ut.m b/octave/fdmdv_ut.m
new file mode 100644
index 0000000..c295414
--- /dev/null
+++ b/octave/fdmdv_ut.m
@@ -0,0 +1,362 @@
+% fdmdv_ut.m
+%
+% Unit Test program for FDMDV modem.  Useful for general development as it has
+% both tx and rx sides, and basic AWGN channel simulation.
+%
+% Copyright David Rowe 2012
+% This program is distributed under the terms of the GNU General Public License 
+% Version 2
+%
+
+fdmdv;               % load modem code
+
+fd = fdmdv_init;
+Nc = fd.Nc;
+M  = fd.M;
+Fs = fd.Fs;
+Rs = fd.Rs;
+Nb = fd.Nb;
+P = fd.P;
+Q = fd.Q;
+
+% Simulation Parameters --------------------------------------
+
+% Short-ish run for ctest.  For regular development try frames=100, EbNo_dB=7.3
+frames = 25;
+EbNo_dB = 100;
+Foff_hz = -100;
+modulation = 'dqpsk';
+hpa_clip = 150;
+
+% ------------------------------------------------------------
+
+more off;
+tx_filt = zeros(Nc,M);
+rx_symbols_log = [];
+rx_phase_log = 0;
+rx_timing_log = 0;
+tx_pwr = 0;
+noise_pwr = 0;
+rx_fdm_log = [];
+rx_baseband_log = [];
+rx_bits_offset = zeros(Nc*Nb*2);
+prev_tx_symbols = ones(Nc+1,1); prev_tx_symbols(Nc+1) = 2;
+prev_rx_symbols = ones(Nc+1,1);
+ferr = 0;
+foff = 0;
+foff_log = [];
+tx_baseband_log = [];
+tx_fdm_log = [];
+
+% BER stats
+
+total_bit_errors = 0;
+total_bits = 0;
+bit_errors_log = [];
+sync_bit_log = [];
+test_frame_sync_log = [];
+test_frame_sync_state = 0;
+
+% SNR estimation states
+
+sig_est = zeros(Nc+1,1);
+noise_est = zeros(Nc+1,1);
+
+% fixed delay simuation
+
+Ndelay = M+20;
+rx_fdm_delay = zeros(Ndelay,1);
+
+% ---------------------------------------------------------------------
+% Eb/No calculations.  We need to work out Eb/No for each FDM carrier.
+% Total power is sum of power in all FDM carriers
+% ---------------------------------------------------------------------
+
+C = 1; % power of each FDM carrier (energy/sample).  Total Carrier power should = Nc*C = Nc
+N = 1; % total noise power (energy/sample) of noise source across entire bandwidth
+
+% Eb  = Carrier power * symbol time / (bits/symbol)
+%     = C *(1/Rs) / Nb
+Eb_dB = 10*log10(C) - 10*log10(Rs) - 10*log10(Nb);
+
+No_dBHz = Eb_dB - EbNo_dB;
+
+% Noise power = Noise spectral density * bandwidth
+% Noise power = Noise spectral density * Fs/2 for real signals
+N_dB = No_dBHz + 10*log10(Fs/2);
+Ngain_dB = N_dB - 10*log10(N);
+Ngain = 10^(Ngain_dB/20);
+
+% C/No = Carrier Power/noise spectral density
+%      = power per carrier*number of carriers / noise spectral density
+CNo_dB = 10*log10(C)  + 10*log10(Nc) - No_dBHz;
+
+% SNR in equivalent 3000 Hz SSB channel
+
+B = 3000;
+SNR = CNo_dB - 10*log10(B);
+
+% freq offset simulation states
+
+phase_offset = 1;
+freq_offset = exp(j*2*pi*Foff_hz/Fs);
+foff_phase = 1;
+t = 0;
+foff = 0;
+fest_state = 0;
+fest_timer = 0;
+sync_mem = zeros(1,fd.Nsync_mem);
+sync = 0;
+sync_log = [];
+
+snr_log = [];
+
+Nspec=1024;
+spec_mem=zeros(1,Nspec);
+SdB = zeros(1,Nspec);
+
+% ---------------------------------------------------------------------
+% Main loop 
+% ---------------------------------------------------------------------
+
+for f=1:frames
+
+  % -------------------
+  % Modulator
+  % -------------------
+
+  [tx_bits fd] = get_test_bits(fd,Nc*Nb);
+  [tx_symbols fd] = bits_to_psk(fd, prev_tx_symbols, tx_bits);
+  prev_tx_symbols = tx_symbols;
+  [tx_baseband fd] = tx_filter(fd, tx_symbols);
+  tx_baseband_log = [tx_baseband_log tx_baseband];
+  [tx_fdm fd] = fdm_upconvert(fd, tx_baseband);
+  tx_pwr = 0.9*tx_pwr + 0.1*real(tx_fdm)*real(tx_fdm)'/(M);
+
+  % -------------------
+  % Channel simulation
+  % -------------------
+
+  % frequency offset
+
+  %Foff_hz += 1/Rs;
+  Foff = Foff_hz;
+  for i=1:M
+    % Time varying freq offset
+    %Foff = Foff_hz + 100*sin(t*2*pi/(300*Fs));
+    %t++;
+    freq_offset = exp(j*2*pi*Foff/Fs);
+    phase_offset *= freq_offset;
+    tx_fdm(i) = phase_offset*tx_fdm(i);
+  end
+
+  tx_fdm = real(tx_fdm);
+
+  % HPA non-linearity
+
+  tx_fdm(find(abs(tx_fdm) > hpa_clip)) = hpa_clip;
+  tx_fdm_log = [tx_fdm_log tx_fdm];
+
+  rx_fdm = tx_fdm;
+
+  % AWGN noise
+
+  noise = Ngain*randn(1,M);
+  noise_pwr = 0.9*noise_pwr + 0.1*noise*noise'/M;
+  rx_fdm += noise;
+  rx_fdm_log = [rx_fdm_log rx_fdm];
+
+  % update spectrum
+
+  l=length(rx_fdm);
+  spec_mem(1:Nspec-l) = spec_mem(l+1:Nspec);
+  spec_mem(Nspec-l+1:Nspec) = rx_fdm;
+  S=fft(spec_mem.*hanning(Nspec)',Nspec);
+  SdB = 0.9*SdB + 0.1*20*log10(abs(S));
+
+ 
+  % -------------------
+  % Demodulator
+  % -------------------
+
+  % shift down to complex baseband
+
+  for i=1:M
+    fd.fbb_phase_rx = fd.fbb_phase_rx*fd.fbb_rect';
+    rx_fdm(i) = rx_fdm(i)*fd.fbb_phase_rx;
+  end
+  mag = abs(fd.fbb_phase_rx);
+  fd.fbb_phase_rx /= mag;
+
+  % frequency offset estimation and correction, need to call rx_est_freq_offset even in sync
+  % mode to keep states updated
+  
+  [pilot prev_pilot fd.pilot_lut_index fd.prev_pilot_lut_index] = get_pilot(fd, fd.pilot_lut_index, fd.prev_pilot_lut_index, M);
+  [foff_coarse S1 S2 fd] = rx_est_freq_offset(fd, rx_fdm, pilot, prev_pilot, M, !sync);
+
+  if sync == 0
+    foff = foff_coarse;
+  end
+  
+  foff_log = [ foff_log foff ];
+  foff_rect = exp(j*2*pi*foff/Fs);
+  
+  for i=1:M
+    foff_phase *= foff_rect';
+    rx_fdm(i) = rx_fdm(i)*foff_phase;
+  end
+
+  [rx_fdm_filter fd]  = rxdec_filter(fd, rx_fdm, M);
+  [rx_filt fd] = down_convert_and_rx_filter(fd, rx_fdm_filter, M, M/Q);
+
+  [rx_symbols rx_timing env fd] = rx_est_timing(fd, rx_filt, M);
+  rx_timing_log = [rx_timing_log rx_timing];
+
+  %rx_phase = rx_est_phase(rx_symbols);
+  %rx_phase_log = [rx_phase_log rx_phase];
+  %rx_symbols = rx_symbols*exp(j*rx_phase);
+
+  [rx_bits sync_bit foff_fine pd] = psk_to_bits(fd, prev_rx_symbols, rx_symbols, modulation);
+  if strcmp(modulation,'dqpsk')
+    rx_symbols_log = [rx_symbols_log pd];
+  else
+    rx_symbols_log = [rx_symbols_log rx_symbols];
+  endif
+  foff -= 0.5*foff_fine;
+  
+  prev_rx_symbols = rx_symbols;
+  sync_bit_log = [sync_bit_log sync_bit];
+  
+  % freq est state machine
+
+  [sync reliable_sync_bit fest_state fest_timer sync_mem] = freq_state(fd, sync_bit, fest_state, fest_timer, sync_mem);
+  sync_log = [sync_log sync];
+
+  % Update SNR est
+
+  [sig_est noise_est] = snr_update(fd, sig_est, noise_est, pd);
+  snr_log = [snr_log calc_snr(fd, sig_est, noise_est)];
+
+  % count bit errors if we find a test frame
+  % Allow 15 frames for filter memories to fill and time est to settle
+
+  [test_frame_sync bit_errors error_pattern fd] = put_test_bits(fd, rx_bits);
+  
+  if test_frame_sync == 1
+    total_bit_errors = total_bit_errors + bit_errors;
+    total_bits = total_bits + fd.Ntest_bits;
+    bit_errors_log = [bit_errors_log bit_errors];
+    else
+      bit_errors_log = [bit_errors_log 0];
+  end
+ 
+  % test frame sync state machine, just for more informative plots
+    
+  next_test_frame_sync_state = test_frame_sync_state;
+  if (test_frame_sync_state == 0)
+    if (test_frame_sync == 1)      
+      next_test_frame_sync_state = 1;
+      test_frame_count = 0;
+    end
+  end
+
+  if (test_frame_sync_state == 1)
+    % we only expect another test_frame_sync pulse every 4 symbols
+    test_frame_count++;
+    if (test_frame_count == 4)
+      test_frame_count = 0;
+      if ((test_frame_sync == 0))      
+        next_test_frame_sync_state = 0;
+      end
+    end
+  end
+  test_frame_sync_state = next_test_frame_sync_state;
+  test_frame_sync_log = [test_frame_sync_log test_frame_sync_state];
+end
+
+% ---------------------------------------------------------------------
+% Print Stats
+% ---------------------------------------------------------------------
+
+ber = total_bit_errors / total_bits;
+
+% Peak to Average Power Ratio calcs from http://www.dsplog.com
+
+papr = max(tx_fdm_log.*conj(tx_fdm_log)) / mean(tx_fdm_log.*conj(tx_fdm_log));
+papr_dB = 10*log10(papr);
+
+% Note Eb/No set point is for Nc data carriers only, excluding pilot.
+% This is convenient for testing BER versus Eb/No.  Measured SNR &
+% Eb/No includes power of pilot.  Similar for SNR, first number is SNR
+% excluding pilot pwr for Eb/No set point, 2nd value is measured SNR
+% which will be a little higher as pilot power is included. Note current SNR
+% est algorithm only works for QPSK, gives silly values for 8PSK.
+
+printf("Bits/symbol.: %d\n", Nb);
+printf("Num carriers: %d\n", Nc);
+printf("Bit Rate....: %d bits/s\n", fd.Rb);
+printf("Eb/No (meas): %2.2f (%2.2f) dB\n", EbNo_dB, 10*log10(0.25*tx_pwr*Fs/(Rs*Nc*noise_pwr)));
+printf("bits........: %d\n", total_bits);
+printf("errors......: %d\n", total_bit_errors);
+printf("BER.........: %1.4f\n",  ber);
+printf("PAPR........: %1.2f dB\n", papr_dB);
+printf("SNR...(meas): %2.2f (%2.2f) dB\n", SNR, calc_snr(fd, sig_est, noise_est));
+
+% ---------------------------------------------------------------------
+% Plots
+% ---------------------------------------------------------------------
+
+figure(1)
+clf;
+[n m] = size(rx_symbols_log);
+plot(real(rx_symbols_log(1:Nc+1,15:m)),imag(rx_symbols_log(1:Nc+1,15:m)),'+')
+axis([-3 3 -3 3]);
+title('Scatter Diagram');
+
+figure(2)
+clf;
+subplot(211)
+plot(rx_timing_log)
+title('timing offset');
+subplot(212)
+plot(foff_log, '-;freq offset;')
+hold on;
+plot(sync_log*75, 'r;Sync State & course(0) fine(1) freq tracking;');
+hold off;
+title('Freq offset (Hz)');
+
+figure(3)
+clf;
+subplot(211)
+plot(real(tx_fdm_log));
+title('FDM Tx Signal');
+subplot(212)
+plot((0:Nspec/2-1)*Fs/Nspec, SdB(1:Nspec/2) - 20*log10(Nspec/2))
+axis([0 Fs/2 -40 0])
+grid
+title('FDM Rx Spectrum');
+
+figure(4)
+clf;
+subplot(311)
+stem(sync_bit_log)
+axis([0 frames 0 1.5]);
+title('BPSK Sync')
+subplot(312)
+stem(bit_errors_log);
+title('Bit Errors for test frames')
+subplot(313)
+plot(test_frame_sync_log);
+axis([0 frames 0 1.5]);
+title('Test Frame Sync')
+
+figure(5)
+clf
+subplot(211)
+plot(snr_log)
+subplot(212)
+%plot(20*log10(sig_est(1:Nc))-20*log10(sig_est(Nc+1))+6)
+%axis([1 Nc -6 6]);
+sdB_pc = 20*log10(sig_est(1:Nc+1));
+bar(sdB_pc(1:Nc) - mean(sdB_pc(1:Nc)))
+axis([0 Nc+1 -3 3]);
diff --git a/octave/fdmdv_ut_freq_off.m b/octave/fdmdv_ut_freq_off.m
new file mode 100644
index 0000000..395bcc5
--- /dev/null
+++ b/octave/fdmdv_ut_freq_off.m
@@ -0,0 +1,489 @@
+% fdmdv_ut_freq_off.m
+% David Rowe 17 June 2014
+%
+% Unit Test program for freq offset estimation in FDMDV modem.  
+%
+% Copyright David Rowe 2012 This program is
+% distributed under the terms of the GNU General Public License
+% Version 2
+
+% [ ] sweep of different delays
+% [ ] sweep of Eb/No
+% [ ] sweep of freq offsets
+% [ ] step change in foff
+%     + time to respond
+% [ ] plot/print pass fail/relevant stats
+%      + variance
+%      + histogram of freq ests?
+
+fdmdv;  % load modem code
+hf_sim; % load hf sim code
+
+% ---------------------------------------------------------------------
+% Eb/No calculations.  We need to work out Eb/No for each FDM carrier.
+% Total power is sum of power in all FDM carriers.  These calcs set the
+% Eb/No of the data carriers, Eb/No of pilot will be higher.
+% ---------------------------------------------------------------------
+
+function [Nsd SNR] = calc_Nsd_from_EbNo(EbNo_dB)
+  global Rs;
+  global Nb;
+  global Nc;
+  global Fs;
+
+  C = 1; % power of each FDM carrier (energy/sample).  Total Carrier power should = Nc*C = Nc
+  N = 1; % total noise power (energy/sample) of noise source across entire bandwidth
+
+  % Eb  = Carrier power * symbol time / (bits/symbol)
+  %     = C *(1/Rs) / Nb
+  Eb_dB = 10*log10(C) - 10*log10(Rs) - 10*log10(Nb);
+
+  No_dBHz = Eb_dB - EbNo_dB;
+
+  % Noise power = Noise spectral density * bandwidth
+  % Noise power = Noise spectral density * Fs/2 for real signals
+  N_dB = No_dBHz + 10*log10(Fs/2);
+  Ngain_dB = N_dB - 10*log10(N);
+  Nsd = 10^(Ngain_dB/20);
+
+  % C/No = Carrier Power/noise spectral density
+  %      = power per carrier*number of carriers / noise spectral density
+  CNo_dB = 10*log10(C) + 10*log10(Nc) - No_dBHz;
+
+  % SNR in equivalent 3000 Hz SSB channel, adding extra power for pilot to get
+  % true SNR.
+
+  B = 3000;
+  SNR = CNo_dB - 10*log10(B) + 10*log10((Nc+4)/Nc);
+end
+
+% we keep a m sample buffer in sample_memory
+% update sample_memory with n samples each time this function is called
+% outputs one nfft2 slice of spectrogram in dB.  Good idea to make nfft2 a power of 2
+
+function [S, states_out] = spectrogram_update(samples, n, states_in)
+  sample_memory = states_in.sample_memory;
+  m             = states_in.m;
+  nfft2         = states_in.nfft2;
+  lower_clip_dB = states_in.lower_clip_dB;
+  dec           = states_in.dec;
+
+  sample_memory(1:m-n)   = sample_memory(n+1:m);
+  sample_memory(m-n+1:m) = samples;
+
+  F = fft(sample_memory .* hanning(m)', 2*nfft2);
+  S = 20*log10(abs(F(1:dec:nfft2))/(nfft2));
+  S(find(S < lower_clip_dB)) = lower_clip_dB;    % clip lower limit
+
+  states_out = states_in;
+  states_out.sample_memory = sample_memory;
+end
+
+% ------------------------------------------------------------
+
+function sim_out = freq_off_est_test(sim_in)
+  global Nc;
+  global Nb;
+  global M;
+  global Fs;
+  global pilot_lut_index;
+  global prev_pilot_lut_index;
+  global pilot_lpf1;
+  global Npilotlpf;
+  global spread;
+  global spread_2ms;
+  global hf_gain;
+
+  EbNovec   = sim_in.EbNovec;
+  Ndelay    = sim_in.delay;
+  frames    = sim_in.frames;
+  startup_delay = sim_in.startup_delay;
+  allowable_error = sim_in.allowable_error;
+  foff_hz   = sim_in.foff_hz;
+  hf_sim    = sim_in.hf_sim;
+  hf_delay  = floor(sim_in.hf_delay_ms*Fs/1000);
+  plot_type = sim_in.plot_type;
+
+  % work out gain for HF model
+  % e = sum((g*s)^2) = g*g*sum(s^2) = N, g = sqrt(N/sum(s^2))
+  % compute so e=N
+
+  s1 = spread(1:frames*M);
+  s2 = [zeros(hf_delay,1); spread_2ms(1:frames*M)];
+  s2 = s2(1:frames*M);
+
+  p = (s1+s2)'*(s1+s2);
+  hf_gain = sqrt(frames*M/p);
+  p2 = (hf_gain*(s1+s2))'*(hf_gain*(s1+s2));
+
+  if hf_sim
+    channel_model = "HF";
+  else
+    channel_model = "AWGN";
+  end
+
+  % spectrogram states
+
+  spec_states.m             = 8*M;
+  spec_states.nfft2         = 2 ^ ceil(log2(spec_states.m/2));
+  spec_states.dec           = 4;
+  spec_states.sample_memory = zeros(1, spec_states.m);
+  spec_states.lower_clip_dB = -30;
+
+  printf("\n%s\n", sim_in.test_name);
+  printf("  Channel EbNo SNR(calc) SNR(meas) SD(Hz) Hits Hits(%%) Result\n");
+
+  % ---------------------------------------------------------------------
+  % Main loop 
+  % ---------------------------------------------------------------------
+
+  for ne = 1:length(EbNovec)
+    EbNo_dB = EbNovec(ne);
+    [Nsd SNR] = calc_Nsd_from_EbNo(EbNo_dB);
+    hits = 0;
+
+    tx_filt = zeros(Nc,M);
+    prev_tx_symbols = ones(Nc+1,1);
+
+    tx_fdm_log = [];
+    rx_fdm_log = [];
+    pilot_lpf1_log = [];
+    S1_log = [];
+    rx_fdm_delay = zeros(M+Ndelay,1);
+
+    % freq offset simulation states
+
+    phase_offset = 1;
+    Nmedian = 20;
+    foff_median=zeros(1,Nmedian);
+
+    % hf sim states
+    
+    path2 = zeros(1,hf_delay+M);
+    sum_sig   = 0;
+    sum_noise = 0;
+
+    % state machine
+    state = 0;
+    fest_current = 0;
+    fdelta = 5;
+    candidate_thresh = 10;
+    foff_est_thresh_prev = 0;
+
+    for f=1:frames
+
+      % ------------------- Modulator -------------------
+
+      tx_bits = get_test_bits(Nc*Nb); 
+      tx_symbols = bits_to_psk(prev_tx_symbols, tx_bits, 'dqpsk'); 
+
+      % simulate BPF filtering of +/- 200 Hz
+      % tx_symbols(1:6) = 0; tx_symbols(9:Nc) = 0;
+
+      prev_tx_symbols = tx_symbols; 
+      tx_baseband = tx_filter(tx_symbols); 
+      tx_fdm = fdm_upconvert(tx_baseband);
+      tx_fdm_log = [tx_fdm_log real(tx_fdm)];
+
+      % ------------------- Channel simulation -------------------
+
+      % frequency offset
+
+      for i=1:M 
+        freq_offset = exp(j*2*pi*foff_hz(f)/Fs);
+        phase_offset *= freq_offset; 
+        tx_fdm(i) = phase_offset*tx_fdm(i); 
+      end
+
+      % optional HF channel sim
+
+      if hf_sim
+        path1 = tx_fdm .* conj(spread(f*M+1:f*M+M)');
+
+        path2(1:hf_delay) = path2(M+1:hf_delay+M);
+        path2(hf_delay+1:hf_delay+M) = tx_fdm .* conj(spread_2ms(f*M+1:f*M+M)');
+
+        tx_fdm = hf_gain*(path1 + path2(1:M));
+      end
+      sum_sig += tx_fdm * tx_fdm';
+      
+      rx_fdm = real(tx_fdm);
+
+      % AWGN noise
+
+      noise = Nsd*randn(1,M); 
+      sum_noise += noise * noise';
+      rx_fdm += noise; 
+      rx_fdm_log = [rx_fdm_log rx_fdm];
+
+      % Fixed Delay
+
+      rx_fdm_delay(1:Ndelay) = rx_fdm_delay(M+1:M+Ndelay);
+      rx_fdm_delay(Ndelay+1:M+Ndelay) = rx_fdm; 
+
+      % ------------------- Freq Offset Est -------------------
+
+      % frequency offset estimation and correction, need to call
+      % rx_est_freq_offset even in track mode to keep states updated
+
+      [pilot prev_pilot pilot_lut_index prev_pilot_lut_index] = ...
+          get_pilot(pilot_lut_index, prev_pilot_lut_index, M); 
+      [foff_est S1 S2] = rx_est_freq_offset(rx_fdm_delay, pilot, prev_pilot, M);
+      pilot_lpf1_log = [pilot_lpf1_log pilot_lpf1(Npilotlpf-M+1:Npilotlpf)];
+      S1_log(f,:) = fftshift(S1);
+      S2_log(f,:) = fftshift(S2);
+     
+      % raw estimate
+      
+      foff_log(ne,f) = foff_est;
+      maxS1_log(ne,f) = max(S1.*conj(S1)/(S1*S1'));
+      maxS2_log(ne,f) = max(S2.*conj(S2)/(S2*S2'));
+
+      % median filter post-processed
+
+      foff_median(1:Nmedian-1) = foff_median(2:Nmedian);
+      foff_median(Nmedian) = foff_est;
+      foff_median_log(ne,f) = foff_coarse = median(foff_median);
+
+      % state machine post-processed
+
+      next_state = state;
+      if state == 0
+        if abs(foff_est - fest_current) > fdelta
+          fest_candidate = foff_est;
+          candidate_count = 0; 
+          next_state = 1;
+        end
+      end
+      if state == 1
+         if abs(foff_est - fest_candidate) > fdelta
+           next_state = 0;
+         end
+        candidate_count++; 
+         if candidate_count > candidate_thresh
+           fest_current = fest_candidate;
+           next_state = 0;
+        end
+      end
+      state = next_state;
+      foff_statemach_log(ne,f) = fest_current;
+
+      % threshold post processed
+
+      if (maxS1_log(ne,f) > 0.06) || (maxS2_log(ne,f) > 0.06)
+      %if (maxS1_log(ne,f) > 0.08)
+         foff_thresh_log(ne,f) = foff_est;
+      else   
+         foff_thresh_log(ne,f) = foff_est_thresh_prev;
+      end
+      foff_est_thresh_prev = foff_thresh_log(ne,f);
+
+      % hit/miss stats
+      fest_current = foff_statemach_log(ne,f);
+      if (f > startup_delay) && (abs(fest_current - foff_hz(f)) < allowable_error)
+        hits++;
+      end
+
+      if length(EbNovec) == 1
+        [spectrogram(f,:) spec_states] = spectrogram_update(rx_fdm, M, spec_states);
+      end
+    end
+
+    % results for this EbNo value
+
+    sim_out.foff_sd(ne) = std(foff_log(ne,startup_delay:frames));
+    sim_out.hits = hits;
+    sim_out.hits_percent = 100*sim_out.hits/(frames-startup_delay);
+    sim_out.SNRvec(ne) = SNR;
+    sim_out.tx_fdm_log = tx_fdm_log;
+    sim_out.rx_fdm_log = rx_fdm_log;
+
+    % noise we have measures is 4000 Hz wide, we want noise in 3000 Hz BW
+
+    snr_meas = 10*log10(sum_sig/(sum_noise*4000/3000));
+
+    printf("  %6s %5.2f % -5.2f     % -5.2f     %3.2f   %d  %3.2f  ", ...
+           channel_model, EbNo_dB, SNR, snr_meas, sim_out.foff_sd(ne), sim_out.hits, sim_out.hits_percent);
+ 
+    if sim_out.hits_percent == 100
+      printf("PASS\n");
+    else
+      printf("FAIL\n");
+      figure(5)
+      clf
+      plot(abs(foff_statemach_log(ne,:) - foff_hz < allowable_error));
+    end
+
+    % plots if single dimension vector
+
+    if length(EbNovec) == 1
+      fmin = -200; fmax = 200;
+      figure(1)
+      clf;
+      subplot(411)
+      plot(foff_log(ne,:))
+      axis([1 frames fmin fmax]);
+      ylabel("Foff raw")
+      subplot(412)
+      plot(foff_median_log(ne,:))
+      axis([1 frames fmin fmax]);
+      ylabel("Foff median")
+      subplot(413)
+      plot(foff_statemach_log(ne,:),'g')
+      ylabel("Foff state")
+      axis([1 frames fmin fmax]);
+      subplot(414)
+      plot(foff_thresh_log(ne,:))
+      ylabel("Foff thresh")
+      axis([1 frames fmin fmax]);
+      xlabel("Frames")
+      grid;
+
+      figure(2)
+      clf;
+      plot(maxS1_log(ne,:));
+      axis([1 frames 0 0.2]);
+      xlabel("Frames")
+      ylabel("max(abs(S1/S2))")
+      grid;
+      hold on;
+      plot(maxS2_log(ne,:),'g');
+      hold off;
+
+      figure(3)
+      [n m] = size(S1_log);
+      if strcmp(plot_type,"mesh")
+        mesh(-200+400*(0:m-1)/256,1:n,abs(S1_log(:,:)));
+        xlabel('Freq (Hz)'); ylabel('Frame num'); zlabel("max(abs(S1))")
+      else
+        imagesc(1:n,-200+400*(0:(m-1))/m,abs(S1_log(:,:))');
+        set(gca,'YDir','normal')
+        ylabel('Freq (Hz)'); xlabel('Frame num');
+        axis([1 n -200 200])
+      end  
+
+      figure(4)
+      clf
+      [n m] = size(spectrogram);
+      if strcmp(plot_type,"mesh")
+        mesh((4000/m)*(1:m),1:n,spectrogram);
+        xlabel('Freq (Hz)'); ylabel('Frame num'); zlabel('Amplitude (dB)');
+      else
+        imagesc(1:n,(4000/m)*(1:m),spectrogram')
+        set(gca,'YDir','normal')
+        ylabel('Freq (Hz)'); xlabel('Frame num');
+        axis([1 n 500 2500])
+      end
+
+      sim_out.spec = spectrogram;
+      sim_out.tx_fdm_log = spectrogram;
+    end
+  end
+end
+
+% ---------------------------------------------------------------------
+% Run Automated Tests
+% ---------------------------------------------------------------------
+
+more off;
+
+function test1
+  global M;
+  global Rs;
+
+  sim_in.test_name = "Test 1: range of Eb/No (SNRs) in AWGN channel";
+  sim_in.EbNovec = [3:10 99];
+  sim_in.delay = M/2;
+  sim_in.frames = Rs*3;
+  sim_in.foff_hz(1:sim_in.frames) = 50;
+  sim_in.startup_delay = 0.5*Rs;
+  sim_in.allowable_error = 5;
+  sim_in.hf_sim = 0;
+  sim_in.hf_delay_ms = 2;
+  sim_in.delay = M/2;
+  sim_in.plot_type = "waterfall";
+
+  sim_out = freq_off_est_test(sim_in);
+
+  figure(5)
+  clf
+  subplot(211)
+  plot(sim_in.EbNovec, sim_out.foff_sd)
+  hold on;
+  plot(sim_in.EbNovec, sim_out.foff_sd,'+')
+  hold off;
+  xlabel("Eb/No (dB)")
+  ylabel("Std Dev (Hz)")
+  axis([(min(sim_in.EbNovec)-1) (max(sim_in.EbNovec)+1) -1 10]);
+
+  subplot(212)
+  plot(sim_out.SNRvec,sim_out.foff_sd)
+  hold on;
+  plot(sim_out.SNRvec,sim_out.foff_sd,'+')
+  hold off;
+  xlabel("SNR (dB)")
+  ylabel("Std Dev (Hz)")
+  axis([(min(sim_out.SNRvec)-1)  (max(sim_out.SNRvec)+1) -1 10]);
+end
+
+
+function test2
+  sim_in.test_name = "Test 2: range of Eb/No (SNRs) in HF multipath channel"
+  sim_in.EbNovec = 0:10;
+  sim_in.delay = 2;
+  sim_in.hf_sim = 1;
+  sim_in.hf_delay_ms = 2;
+  sim_in.frames = Rs*2;
+  sim_in.foff_hz = 0;
+  sim_in.startup_delay = Rs/2;
+  sim_in.allowable_error = 5;
+
+  sim_out = freq_off_est_test(sim_in);
+
+  figure(5)
+  clf
+  subplot(211)
+  plot(sim_in.EbNovec,sim_out.foff_sd)
+  hold on;
+  plot(sim_in.EbNovec,sim_out.foff_sd,'+')
+  hold off;
+  xlabel("Eb/No (dB)")
+  ylabel("Std Dev")
+  axis([(min(sim_in.EbNovec)-1) (max(sim_in.EbNovec)+1) -1 10]);
+end
+
+function test3
+  global M;
+  global Rs;
+
+  sim_in.test_name = "Test 3: 30 Seconds in HF multipath channel at 0dB-ish SNR";
+  sim_in.EbNovec = 13;
+  sim_in.hf_sim = 0;
+  sim_in.hf_delay_ms = 2;
+  sim_in.delay = M/2;
+  sim_in.frames = Rs;
+  sim_in.foff_hz(1:sim_in.frames) = -50;
+  sim_in.startup_delay = Rs; % allow 1 second in heavily faded channels      
+  sim_in.allowable_error = 5;
+  sim_in.plot_type = "mesh";
+  sim_out = freq_off_est_test(sim_in);
+endfunction
+
+function animated_gif
+  figure(4)
+  for i=5:5:360
+    view(i,45)
+    filename=sprintf('fdmdv_fig%05d.png',i);
+    print(filename);
+  end
+  if 0
+  for i=90:-5:-270
+    view(45,i)
+    filename=sprintf('fdmdv_fig%05d.png',i);
+    print(filename);
+  end
+  end
+endfunction
+
+test3;
+
diff --git a/octave/fm.m b/octave/fm.m
new file mode 100644
index 0000000..e25432f
--- /dev/null
+++ b/octave/fm.m
@@ -0,0 +1,484 @@
+% fm.m
+% David Rowe Dec 2014
+%
+% Analog FM Octave simulation functions.
+
+1;
+
+graphics_toolkit ("gnuplot");
+
+function fm_states = analog_fm_init(fm_states)
+
+  % FM modulator constants
+
+  Fs = fm_states.Fs; FsOn2 = Fs/2;  
+  fm_max = fm_states.fm_max;                 % max modulation freq
+  fd = fm_states.fd;                         % (max) deviation
+  fm_states.m = fd/fm_max;                   % modulation index
+  fm_states.Bfm = Bfm = 2*(fd+fm_max);       % Carson's rule for FM signal bandwidth
+  fm_states.tc = tc = 50E-6;
+  fm_states.prede = [1 -(1 - 1/(tc*Fs))];    % pre/de emp filter coeffs
+  fm_states.ph_dont_limit = 0;               % Limit rx delta-phase
+  
+  % Select length of filter to be an integer number of symbols to
+  % assist with "fine" timing offset estimation.  Set Ts to 1 for
+  % analog modulation.
+
+  Ts = fm_states.Ts;
+  desired_ncoeffs = 200;
+  ncoeffs = floor(desired_ncoeffs/Ts+1)*Ts;
+
+  % "coarse" timing offset is half filter length, we have two filters.
+  % This is the delay the two filters introduce, so we need to adjust
+  % for this when comparing tx to trx bits for BER calcs.
+
+  fm_states.nsym_delay = ncoeffs/Ts;
+
+  % input filter gets rid of excess noise before demodulator, as too much
+  % noise causes atan2() to jump around, e.g. -pi to pi.  However this
+  % filter can cause harmonic distortion at very high SNRs, as it knocks out
+  % some of the FM signal spectra.  This filter isn't really required for high
+  % SNRs > 20dB.
+
+  fc = (Bfm/2)/(FsOn2);
+  fm_states.bin  = firls(ncoeffs,[0 fc*(1-0.05) fc*(1+0.05) 1],[1 1 0.01 0.01]);
+
+  % demoduator output filter to limit us to fm_max (e.g. 3kHz)
+
+  fc = fm_max/(FsOn2);
+  fm_states.bout = firls(ncoeffs,[0 0.95*fc 1.05*fc 1], [1 1 0.01 0.01]);
+endfunction
+
+
+function fm_fir_coeff_file(fm_states, filename)
+  global gt_alpha5_root;
+  global Nfilter;
+
+  f=fopen(filename,"wt");
+
+  fprintf(f,"/* Generated by fm_fir_coeff_file() Octave function in fm.m */\n\n");
+  fprintf(f,"const float bin[]={\n");
+  for m=1:length(fm_states.bin)-1
+    fprintf(f,"  %g,\n", fm_states.bin(m));
+  endfor
+  fprintf(f,"  %g\n};\n\n", fm_states.bin(length(fm_states.bin)));
+
+  fprintf(f,"const float bout[]={\n");
+  for m=1:length(fm_states.bout)-1
+    fprintf(f,"  %g,\n", fm_states.bout(m));
+  endfor
+  fprintf(f,"  %g\n};\n", fm_states.bout(length(fm_states.bout)));
+
+  fclose(f);
+endfunction
+
+
+function tx = analog_fm_mod(fm_states, mod)
+  Fs = fm_states.Fs;
+  fc = fm_states.fc; wc = 2*pi*fc/Fs;
+  fd = fm_states.fd; wd = 2*pi*fd/Fs;
+  nsam = length(mod);
+
+  if fm_states.pre_emp
+    mod = filter(fm_states.prede,1,mod);
+    mod = mod/max(mod);           % AGC to set deviation
+  end
+
+  tx_phase = 0;
+  tx = zeros(1,nsam);
+
+  for i=0:nsam-1
+    w = wc + wd*mod(i+1);
+    tx_phase = tx_phase + w;
+    tx_phase = tx_phase - floor(tx_phase/(2*pi))*2*pi;
+    tx(i+1) = exp(j*tx_phase);
+  end
+endfunction
+
+
+function [rx_out rx_bb] = analog_fm_demod(fm_states, rx)
+  Fs = fm_states.Fs;
+  fc = fm_states.fc; wc = 2*pi*fc/Fs;
+  fd = fm_states.fd; wd = 2*pi*fd/Fs;
+  nsam = length(rx);
+  t = 0:(nsam-1);
+
+  rx_bb = rx .* exp(-j*wc*t);      % down to complex baseband
+  rx_bb = filter(fm_states.bin,1,rx_bb);
+
+  % differentiate first, in rect domain, then find angle, this puts
+  % signal on the positive side of the real axis
+
+  rx_bb_diff = [ 1 rx_bb(2:nsam) .* conj(rx_bb(1:nsam-1))];
+  rx_out = atan2(imag(rx_bb_diff),real(rx_bb_diff));
+
+  % limit maximum phase jumps, to remove static type noise at low SNRs
+  if !fm_states.ph_dont_limit
+    rx_out(find(rx_out > wd)) = wd;
+    rx_out(find(rx_out < -wd)) = -wd;
+  end
+  rx_out *= (1/wd);
+
+  if fm_states.output_filter
+    rx_out = filter(fm_states.bout,1,rx_out);
+  end
+  if fm_states.de_emp
+    rx_out = filter(1,fm_states.prede,rx_out);
+  end
+endfunction
+
+
+function sim_out = analog_fm_test(sim_in)
+  nsam      = sim_in.nsam;
+  CNdB      = sim_in.CNdB;
+  verbose   = sim_in.verbose;
+
+  Fs = fm_states.Fs = 96000;  
+  fm_max = fm_states.fm_max = 3E3;
+  fd = fm_states.fd = 5E3;
+  fm_states.fc = 24E3;
+
+  fm_states.pre_emp = pre_emp = sim_in.pre_emp;
+  fm_states.de_emp  = de_emp = sim_in.de_emp;
+  fm_states.Ts = 1;
+  fm_states.output_filter = 1;
+  fm_states = analog_fm_init(fm_states);
+  sim_out.Bfm = fm_states.Bfm;
+
+  Bfm = fm_states.Bfm;
+  m = fm_states.m; tc = fm_states.tc;
+  t = 0:(nsam-1);
+
+  fm = 1000; wm = 2*pi*fm/fm_states.Fs;
+  
+  % start simulation
+
+  for ne = 1:length(CNdB)
+
+    % work out the variance we need to obtain our C/N in the bandwidth
+    % of the FM demod.  The gaussian generator randn() generates noise
+    % with a bandwidth of Fs
+
+    aCNdB = CNdB(ne);
+    CN = 10^(aCNdB/10);
+    variance = Fs/(CN*Bfm);
+     
+    % FM Modulator -------------------------------
+
+    mod = sin(wm*t);
+    tx = analog_fm_mod(fm_states, mod);
+    
+    % Channel ---------------------------------
+
+    noise = sqrt(variance/2)*(randn(1,nsam) + j*randn(1,nsam));
+    rx = tx + noise;
+
+    % FM Demodulator
+
+    [rx_out rx_bb] = analog_fm_demod(fm_states, rx);
+
+    % notch out test tone
+
+    w = 2*pi*fm/Fs; beta = 0.99;
+    rx_notch = filter([1 -2*cos(w) 1],[1 -2*beta*cos(w) beta*beta], rx_out);
+
+    % measure power with and without test tone to determine S+N and N
+
+    settle = 1000;             % filter settling time, to avoid transients
+    nsettle = nsam - settle;
+
+    sinad = (rx_out(settle:nsam) * rx_out(settle:nsam)')/nsettle;
+    nad = (rx_notch(settle:nsam) * rx_notch(settle:nsam)')/nsettle;
+
+    snr = (sinad-nad)/nad;
+    sim_out.snrdB(ne) = 10*log10(snr);
+   
+    % Theory from FMTutorial.pdf, Lawrence Der, Silicon labs paper
+
+    snr_theory_dB = aCNdB + 10*log10(3*m*m*(m+1));
+    fx = 1/(2*pi*tc); W = fm_max;
+    I = (W/fx)^3/(3*((W/fx) - atan(W/fx)));
+    I_dB = 10*log10(I);
+
+    sim_out.snr_theorydB(ne) = snr_theory_dB;
+    sim_out.snr_theory_pre_dedB(ne) = snr_theory_dB + I_dB;
+   
+    if verbose > 1
+      printf("modn index: %2.1f Bfm: %.0f Hz\n", m, Bfm);
+    end
+
+    if verbose > 0
+      printf("C/N: %4.1f SNR: %4.1f dB THEORY: %4.1f dB or with pre/de: %4.1f dB\n", 
+      aCNdB, 10*log10(snr), snr_theory_dB, snr_theory_dB+I_dB);
+    end
+
+    if verbose > 1
+      figure(1)
+      subplot(211)
+      plot(20*log10(abs(fft(rx))))
+      title('FM Modulator Output Spectrum');
+      axis([1 length(tx) 0 100]);
+      subplot(212)
+      Rx_bb = 20*log10(abs(fft(rx_bb)));
+      plot(Rx_bb)
+      axis([1 length(tx) 0 100]);
+      title('FM Demodulator (baseband) Input Spectrum');
+
+      figure(2)
+      subplot(211)
+      plot(rx_out(settle:nsam))
+      axis([1 4000 -1 1]) 
+      subplot(212)
+      Rx = 20*log10(abs(fft(rx_out(settle:nsam))));
+      plot(Rx(1:10000))
+      axis([1 10000 0 100]);
+   end
+
+  end
+
+endfunction
+
+
+function run_fm_curves
+  sim_in.nsam    = 96000;
+  sim_in.verbose = 1;
+  sim_in.pre_emp = 0;
+  sim_in.de_emp  = 0;
+  sim_in.CNdB = -4:2:20;
+
+  sim_out = analog_fm_test(sim_in);
+
+  figure(1)
+  clf
+  plot(sim_in.CNdB, sim_out.snrdB,"r;FM Simulated;");
+  hold on;
+  plot(sim_in.CNdB, sim_out.snr_theorydB,"g;FM Theory;");
+  plot(sim_in.CNdB, sim_in.CNdB,"b; SSB Theory;");
+  hold off;
+  grid("minor");
+  xlabel("FM demod input C/N (dB)");
+  ylabel("FM demod output S/N (dB)");
+  legend("boxoff");
+
+  % C/No curves
+
+  Bfm_dB = 10*log10(sim_out.Bfm);
+  Bssb_dB = 10*log10(3000);
+
+  figure(2)
+  clf
+  plot(sim_in.CNdB + Bfm_dB, sim_out.snrdB,"r;FM Simulated;");
+  hold on;
+  plot(sim_in.CNdB + Bfm_dB, sim_out.snr_theorydB,"g;FM Theory;");
+  plot(sim_in.CNdB + Bssb_dB, sim_in.CNdB,"b; SSB Theory;");
+  hold off;
+  grid("minor");
+  xlabel("FM demod input C/No (dB)");
+  ylabel("FM demod output S/N (dB)");
+  legend("boxoff");
+
+endfunction
+
+
+function run_fm_single
+  sim_in.nsam    = 96000;
+  sim_in.verbose = 2;
+  sim_in.pre_emp = 0;
+  sim_in.de_emp  = 0;
+
+  sim_in.CNdB   = 20;
+  sim_out = analog_fm_test(sim_in);
+end
+
+
+function fm_mod_file(file_name_out, file_name_in, CNdB)
+  fm_states.Fs = 48000;  
+  fm_states.fm_max = 3E3;
+  fm_states.fd = 5E3;
+  fm_states.fc = fm_states.Fs/4;
+  fm_states.pre_emp = 0;
+  fm_states.de_emp  = 0;
+  fm_states.Ts = 1;
+  fm_states.output_filter = 1;
+  fm_states = analog_fm_init(fm_states);
+
+  if nargin == 1
+    nsam = fm_states.Fs * 10;
+    t = 0:(nsam-1);
+    fm = 1000; wm = 2*pi*fm/fm_states.Fs;
+    mod = sin(wm*t);
+  else
+    fin = fopen(file_name_in,"rb");
+    mod = fread(fin,"short")';
+    mod /= 32767;
+    fclose(fin);
+  end
+  tx = analog_fm_mod(fm_states, mod);
+  
+  if (nargin == 3)
+    % Optionally add some noise
+
+   CN = 10^(CNdB/10);
+    variance = fm_states.Fs/(CN*fm_states.Bfm);
+    tx += sqrt(variance)*randn(1,length(tx));
+  end
+  
+  tx_out = tx*16384;
+  fout = fopen(file_name_out,"wb");
+  fwrite(fout, tx_out, "short");
+  fclose(fout);
+endfunction
+
+
+function fm_demod_file(file_name_out, file_name_in)
+  fin = fopen(file_name_in,"rb");
+  rx = fread(fin,"short")'; 
+  rx = rx(100000:length(rx)); % strip of wave header
+  fclose(fin);
+ 
+  Fs = fm_states.Fs = 48000;  
+  fm_max = fm_states.fm_max = 3E3;
+  fd = fm_states.fd = 5E3;
+  fm_states.fc = 12E3;
+
+  fm_states.pre_emp = 0;
+  fm_states.de_emp  = 1;
+  fm_states.Ts = 1;
+  fm_states.output_filter = 1;
+  fm_states = analog_fm_init(fm_states);
+ 
+  [rx_out rx_bb] = analog_fm_demod(fm_states, rx);
+
+  rx_out *= 20000;
+  fout = fopen(file_name_out,"wb");
+  fwrite(fout, rx_out, "short");
+  fclose(fout);
+
+  figure(1)
+  subplot(211)
+  plot(rx)
+  subplot(212)
+  plot(20*log10(abs(fft(rx))))
+  title('FM Dmodulator Input Spectrum');
+
+  figure(2)
+  subplot(211)
+  Rx_bb = 20*log10(abs(fft(rx_bb)));
+  plot(Rx_bb)
+  title('FM Demodulator (baseband) Input Spectrum');
+
+  subplot(212)
+  plot(20*log10(abs(fft(rx_out))))
+  title('FM Dmodulator Output Spectrum');
+
+  figure(3)
+  plot(rx_out)
+  title('FM Dmodulator Output');
+
+  % estimate SNR, C/No etc
+
+  npower_window = 1024;
+  rx_power = conv(rx.^2,ones(1,npower_window))/(npower_window);
+  rx_power_dB = 10*log10(rx_power);
+  figure;
+  subplot(211)
+  plot(rx);
+  subplot(212)
+  plot(rx_power_dB);
+  axis([1 length(rx_power) max(rx_power_dB)-9 max(rx_power_dB)+1])
+  grid("minor")
+
+  % estimate FM demod output SNR if a 1000 Hz tone is present
+
+  w = 2*pi*1000/Fs; beta = 0.99;
+  rx_notch = filter([1 -2*cos(w) 1],[1 -2*beta*cos(w) beta*beta], rx_out);
+
+  rx_out_power = conv(rx_out.^2,ones(1,npower_window))/(npower_window);
+  rx_out_power_dB = 10*log10(rx_out_power);
+  rx_notch_power = conv(rx_notch.^2,ones(1,npower_window))/(npower_window);
+  rx_notch_power_dB = 10*log10(rx_notch_power);
+  figure;
+  plot(rx_out_power_dB,'r;FM demod output power;');
+  hold on;
+  plot(rx_notch_power_dB,'b;1000 Hz notch filter output power;');
+  plot(rx_out_power_dB-rx_notch_power_dB,'g;1000 Hz tone SNR;');
+  hold off;
+  legend("boxoff");
+  ylabel('dB');
+  xlabel('Time (samples)');
+  grid("minor")
+
+endfunction
+
+
+% generate filter coeffs for C implementation of FM demod
+
+function make_coeff_file
+  fm_states.Fs = 44400;  
+  fm_states.fm_max = 3E3;
+  fm_states.fd = 5E3;
+  fm_states.fc = fm_states.Fs/4;
+
+  fm_states.pre_emp = 0;
+  fm_states.de_emp  = 0;
+  fm_states.Ts = 1;
+  fm_states.output_filter = 1;
+  fm_states = analog_fm_init(fm_states);
+
+  fm_fir_coeff_file(fm_states, "fm_fir_coeff.h")
+endfunction
+
+function test_fm_modulator
+  fm_states.Fs = 48000;  
+  fm_states.fm_max = 3E3;
+  fm_states.fd = 5E3;
+  %fm_states.fc = fm_states.Fs/4;
+  fm_states.fc = 0;   
+
+  fm_states.pre_emp = 0;
+  fm_states.de_emp  = 0;
+  fm_states.Ts = 1;
+  fm_states.output_filter = 1;
+  fm_states = analog_fm_init(fm_states);
+  
+  test_t = [1:(fm_states.Fs*10)];
+  test_freq1 = 2*pi*3000/fm_states.Fs;
+  test_freq2 = 2*pi*1000/fm_states.Fs;
+
+  test_sig = .5*sin(test_t*test_freq1) + .5*sin(test_t*test_freq2);
+  %test_sig = zeros(1,length(test_t));
+  %test_sig = ones(1,length(test_t));
+
+  ftsig = fopen("fm_test_sig.raw","wb");
+  fwrite(ftsig,test_sig*16384,"short");
+  fclose(ftsig);
+  
+  system("../fm_test fm_test_sig.raw fm_test_out.raw");
+  ftmod = fopen("fm_test_out.raw","r");
+  test_mod_p = rot90(fread(ftmod,"short"))/16384;
+  test_mod_r = test_mod_p(1:2:length(test_mod_p));
+  test_mod_i = test_mod_p(2:2:length(test_mod_p));
+  test_mod = test_mod_r .+ i*test_mod_i;
+  fclose(ftmod);
+  
+  comp_mod = analog_fm_mod(fm_states,test_sig);
+  
+  figure(1)
+  comp_mod_real = real(comp_mod);
+  size(comp_mod_real)
+  size(test_mod)
+  mod_diff = zeros(1,length(test_mod));
+  mod_diff = test_mod .- comp_mod;
+  plot(test_t,real(test_mod .- comp_mod),test_t,imag(test_mod .- comp_mod));
+
+endfunction
+
+more off;
+
+%run_fm_curves
+%fm_demod_file("ssb_fm_out.raw","~/Desktop/ssb_fm.wav")
+%fm_demod_file("ssb25_fm_de.raw", "~/Desktop/ssb25db.wav")
+%run_fm_single
+%make_coeff_file
+%fm_mod_file("fm_1000.raw");
+%test_fm_modulator
diff --git a/octave/fm_radio_filt_model.txt b/octave/fm_radio_filt_model.txt
new file mode 100644
index 0000000..368f7e2
--- /dev/null
+++ b/octave/fm_radio_filt_model.txt
@@ -0,0 +1,8 @@
+# Created by Octave 4.0.0, Wed Feb 10 20:14:16 2016 CST <baobrien@baobrien-d-desktop>
+# name: filt
+# type: matrix
+# rows: 1
+# columns: 1001
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0.0005159892932585147 0.0004796269124398812 0.0004241895316775592 0.0003565185832637645 0.0002783857988869775 0.0002020713027294521 0.0001300149878038001 7.787515033943645e-05 4.94970529116387e-05 3.567320177887565e-05 5.198681974621122e-05 8.439260614281255e-05 0.0001233684249499196 0.0001696438030090706 0.0002130987320308694 0.0002483396512410884 0.000269119930618064 0.0002800989971601369 0.0002797524248574673 0.0002574810386944714 0.0002293068332902553 0.0001981874567952985 0.0001541458098186209 0.0001131985409445768 7.436668389413293e-05 3.914274819454482e-05 2.02910310075359e-05 1.214910078795737e-05 1.138159045954142e-05 2.303431628630914e-05 4.191084339680085e-05 7.153140827090229e-05 0.0001012747411089004 0.0001198264422032543 0.0001341681487126989 0.0001353721674033473 0.0001310955784948295 0.0001304604164937583 0.0001293962113881343 0.0001167532618894624 0.0001090067194513343 0.0001142849115928038 0.0001194268883117053 0.0001316378760800131 0.0001450923278130218 0.0001644147124457893 0.0001836754090288532 0.0001945597427125205 0.000198420646821421 0.0001926926553236415 0.0001774138786603597 0.0001604569345523672 0.0001441800101209615 0.0001197702730190544 0.0001047837385634294 9.626406072217448e-05 8.422482885728265e-05 8.141197975598381e-05 8.7319365554045e-05 9.4075039188646e-05 9.894340278646086e-05 0.0001025516069602838 0.0001072060248103339 0.0001098275912662369 0.0001104312822684126 0.000106515806645663 9.505250826889828e-05 8.723833080263867e-05 7.420695272211161e-05 5.781977436721884e-05 4.770388200482809e-05 3.7389171346018e-05 3.012154305643296e-05 3.024288241806269e-05 3.30459157472601e-05 3.42023945226418e-05 4.194241650880383e-05 5.275816447026444e-05 6.085367944553199e-05 6.930393501059805e-05 8.209630166614197e-05 9.587608125739296e-05 0.0001056747747162764 0.0001170129681552745 0.0001293030383250257 0.0001415291461137908 0.0001570034141396783 0.0001704401347270341 0.0001743894362264053 0.0001736521706833197 0.0001685794934648447 0.0001573246833069577 0.00013725374822175 0.0001119097915371812 8.838658249276298e-05 6.180780852724682e-05 3.467670361993845e-05 1.383091083546099e-05 -1.363194189371131e-06 -1.629614429158657e-05 -2.559556014458577e-05 -2.719609151945906e-05 -2.432568386408844e-05 -1.745355895723421e-05 -6.139147851498011e-06 9.390120446350515e-06 2.609404178225465e-05 4.505424718694725e-05 6.397168698635465e-05 8.388579609557507e-05 0.0001017868860228118 0.0001164777490003533 0.0001282916901414377 0.0001371895926370353 0.0001444545226667357 0.0001505912434581831 0.0001573044997290388 0.0001611393815082451 0.0001617032194688336 0.0001578219868614449 0.000153801972814461 0.0001435371988464706 0.0001284375906324499 0.0001171407871684956 0.0001046664881685255 9.474089964535937e-05 8.653490906422336e-05 8.178131856442878e-05 8.236867203976517e-05 8.670764514445867e-05 9.282321723585233e-05 9.949247921871623e-05 0.0001078643622955885 0.0001145773485240607 0.0001199864757482572 0.0001237937282219144 0.0001274951568358209 0.0001276193402990368 0.0001211159686312227 0.0001157727179778552 0.0001100627878797457 9.993747197784049e-05 8.855370570715271e-05 8.085052742218457e-05 7.795597606716331e-05 7.47608349460523e-05 7.602754602719387e-05 8.465588232787989e-05 9.340521285980456e-05 0.0001021842594143064 0.0001128586850331394 0.0001211256678148737 0.0001268741533262061 0.0001314146843973354 0.0001298558067129026 0.0001232907290105823 0.0001114408649087925 9.490108720790098e-05 7.524935743597891e-05 5.098405707491407e-05 2.533067638032283e-05 2.754137907668097e-06 -1.425766597021359e-05 -2.680377848432208e-05 -3.140205230802843e-05 -2.889508983840295e-05 -2.038060526743043e-05 -5.011952829637147e-06 1.151301392357218e-05 2.733281113424968e-05 4.16286613756742e-05 5.28271491118769e-05 5.894036887788697e-05 5.965124091807064e-05 5.995001465356243e-05 6.151519405194192e-05 6.038440324493523e-05 5.810382275274606e-05 5.745029328387439e-05 5.754247327156637e-05 5.656595617636194e-05 5.387673663540817e-05 5.012294778018432e-05 4.529266752036116e-05 4.11193488460899e-05
+
+
diff --git a/octave/fmfsk.m b/octave/fmfsk.m
new file mode 100644
index 0000000..4b3cc91
--- /dev/null
+++ b/octave/fmfsk.m
@@ -0,0 +1,346 @@
+%
+% fmfsk.m
+% Author: Brady O'Brien 3 Feb 2016
+%   Copyright 2016 David Rowe
+%  
+%  All rights reserved.
+%
+%  This program is free software; you can redistribute it and/or modify
+%  it under the terms of the GNU Lesser General Public License veRbion 2, as
+%  published by the Free Software Foundation.  This program is
+%  distributed in the hope that it will be useful, but WITHOUT ANY
+%  WARRANTY; without even the implied warranty of MERCHANTABILITY or
+%  FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public
+%  License for more details.
+%
+%  You should have received a copy of the GNU Lesser General Public License
+%  along with this program; if not, see <http://www.gnu.org/licenses/>.
+
+% mancyfsk.m modem, extracted and made suitable for C implementation
+
+fm;
+pkg load signal;
+pkg load parallel;
+1;
+
+% Init fmfsk modem
+%Fs is sample frequency
+%Rb is pre-manchester bit rate
+function states = fmfsk_init(Fs,Rb)
+    assert(mod(Fs,Rb*2)==0);
+    
+    %Current fixed processing buffer size, in non-ME bits
+    nbit = 96;
+    
+    states.Rb = Rb;
+    states.Rs = Rb*2;   % Manchester-encoded bitrate
+    states.Fs = Fs;
+    states.Ts = Fs/states.Rs;
+    states.N = nbit*2*states.Ts;     
+    states.nin = states.N;          % Samples in the next demod cycle
+    states.nstash = states.Ts*2;    % How many samples to stash away between proc cycles for timing adjust
+    states.nmem =  states.N+(4*states.Ts);
+    states.nsym = nbit*2;
+    states.nbit = nbit;
+    
+    %tates.nsym = floor(states.Rs*.080);
+    %states.nbit = floor(states.Rb*.080)
+    %Old sample memory
+    
+    states.oldsamps = zeros(1,states.nmem);
+    
+    %Last sampled-stream output, for odd bitstream generation
+    states.lastint = 0;
+    
+    %Some stats
+    states.norm_rx_timing = 0;
+    
+endfunction
+
+%Generate a stream of manchester-coded bits to be sent
+% to any ordinary FM modulator or VCO or something
+function tx = fmfsk_mod(states,inbits)
+    Ts = states.Ts;
+    tx = zeros(1,length(inbits)*2);
+    for ii = 1:length(inbits)
+        st = 1 + (ii-1)*Ts*2;
+        md = st+Ts-1;
+        en = md+Ts;
+        if inbits(ii)==0
+            tx(st:md)   = -ones(1,Ts);
+            tx(md+1:en) =  ones(1,Ts);
+        else
+            tx(st:md)   =  ones(1,Ts);
+            tx(md+1:en) = -ones(1,Ts);
+        end
+    end
+endfunction
+
+%Demodulate a bag of bits from the output of an FM demodulator
+% This function produces nbits output bits and takes states.nin samples
+function [rx_bits states] = fmfsk_demod(states,rx)
+    Ts = states.Ts;
+    Fs = states.Fs;
+    Rs = states.Rs;
+    nin = states.nin;
+    N = states.N;
+    nsym = states.nsym;
+    nbits = states.nsym/2;
+    nmem = states.nmem;
+    nstash = states.nstash;
+    
+    nold = nmem-nin;
+    ssamps = states.oldsamps;
+    
+    
+    %Shift in nin samples
+    ssamps(1:nold) = ssamps(nmem-nold+1:nmem);
+    ssamps(nold+1:nmem) = rx;
+    states.oldsamps = ssamps;
+    
+    rx_filt = zeros(1,(nsym+1)*Ts);
+    %Integrate Ts input samples at every offset
+    %This is the same thing as filtering with a filter of all ones
+    % out to Ts.
+    % It's implemented like this for ease of C-porting
+    for ii=(1:(nsym+1)*Ts)
+        st = ii;
+        en = st+Ts-1;
+        rx_filt(ii) = sum(ssamps(st:en));
+    end
+    states.rx_filt = rx_filt;
+    % Fine timing estimation ------------------------------------------------------
+
+    % Estimate fine timing using line at Rs/2 that Manchester encoding provides
+    % We need this to sync up to Manchester codewords. 
+    Np = length(rx_filt);
+    w = 2*pi*(Rs)/Fs;
+    x = (rx_filt .^ 2) * exp(-j*w*(0:Np-1))';
+    norm_rx_timing = angle(x)/(2*pi)-.42;
+     
+    rx_timing = round(norm_rx_timing*Ts);
+    
+    %If rx timing is too far out, ask for more or less sample the next time
+    % around to even it all out
+    next_nin = N;
+    if norm_rx_timing > -.2;
+       next_nin += Ts/2;
+    end
+    if norm_rx_timing < -.65;
+       next_nin -= Ts/2;
+    end
+
+    states.nin = next_nin;
+    states.norm_rx_timing = norm_rx_timing;
+    %'Even' and 'Odd' manchester bitstream.
+    % We'll figure out which to produce later
+    rx_even = zeros(1,nbits);
+    rx_odd = zeros(1,nbits);
+    apeven = 0;
+    apodd = 0;
+
+    sample_offset = (Ts/2)+Ts+rx_timing-1;
+    
+    symsamp = zeros(1,nsym);
+    
+    % Figure out the bits of the 'even' and 'odd' ME streams
+    % Also sample rx_filt offset by what fine timing determined along the way
+    % Note: ii is a zero-indexed array pointer, for less mind-breaking c portage
+    lastv = states.lastint;
+    for ii = (0:nsym-1)
+        currv = rx_filt(sample_offset+(ii*Ts)+1);
+        mdiff = lastv-currv;
+        lastv = currv;
+        mbit = mdiff>0;
+        symsamp(ii+1) = currv;
+        if mod(ii,2)==1
+            apeven += abs(mdiff);
+            rx_even( floor(ii/2)+1 ) = mbit;
+        else
+            apodd  += abs(mdiff);
+            rx_odd(  floor(ii/2)+1 ) = mbit;
+        end
+    end
+    states.symsamp = symsamp;
+    % Decide on the correct ME alignment
+    if(apeven>apodd)
+        rx_bits = rx_even;
+    else
+        rx_bits = rx_odd;
+    end
+
+    states.lastint = lastv;
+endfunction
+
+% run_sim copypasted from fsk_horus.m
+% simulation of tx and rx side, add noise, channel impairments ----------------------
+
+function fmfsk_run_sim(EbNodB,timing_offset=0,de=0,of=0,hpf=0)
+  test_frame_mode = 2;
+  frames = 70;
+  %EbNodB = 3;
+  %timing_offset = 0.0; % see resample() for clock offset below
+  %fading = 0;          % modulates tx power at 2Hz with 20dB fade depth, 
+                       % to simulate balloon rotating at end of mission
+  df     = 0;          % tx tone freq drift in Hz/s
+  dA     = 1;          % amplitude imbalance of tones (note this affects Eb so not a gd idea)
+
+  more off
+  rand('state',1); 
+  randn('state',1);
+  
+  Fs = 48000;
+  Rbit = 2400;
+
+  % ----------------------------------------------------------------------
+
+  fm_states.pre_emp = 0;
+  fm_states.de_emp  = de;
+  fm_states.Ts      = Fs/(Rbit*2);
+  fm_states.Fs      = Fs; 
+  fm_states.fc      = Fs/4; 
+  fm_states.fm_max  = 3E3;
+  fm_states.fd      = 5E3;
+  fm_states.output_filter = of;
+  fm_states = analog_fm_init(fm_states);
+
+  % ----------------------------------------------------------------------
+  
+  states = fmfsk_init(Fs,Rbit);
+
+  states.verbose = 0x1;
+  Rs = states.Rs;
+  nsym = states.nsym;
+  Fs = states.Fs;
+  nbit = states.nbit;
+
+  EbNo = 10^(EbNodB/10);
+  variance = states.Fs/(states.Rb*EbNo);
+
+  % set up tx signal with payload bits based on test mode
+
+  if test_frame_mode == 1
+     % test frame of bits, which we repeat for convenience when BER testing
+    test_frame = round(rand(1, states.nbit));
+    tx_bits = [];
+    for i=1:frames+1
+      tx_bits = [tx_bits test_frame];
+    end
+  end
+  if test_frame_mode == 2
+    % random bits, just to make sure sync algs work on random data
+    tx_bits = round(rand(1, states.nbit*(frames+1)));
+  end
+  if test_frame_mode == 3
+    % repeating sequence of all symbols
+    % great for initial test of demod if nothing else works, 
+    % look for this pattern in rx_bits
+
+       % ...10101...
+      tx_bits = zeros(1, states.nbit*(frames+1));
+      tx_bits(1:2:length(tx_bits)) = 1;
+
+  end
+  
+  load fm_radio_filt_model.txt
+
+  [b, a] = cheby1(4, 1, 300/Fs, 'high');   % 300Hz HPF to simulate FM radios
+  
+  tx_pmod = fmfsk_mod(states, tx_bits);
+  tx = analog_fm_mod(fm_states, tx_pmod);
+  
+  tx = tx(10:length(tx));
+
+  if(timing_offset>0)
+    tx = resample(tx, 1000,1001); % simulated 1000ppm sample clock offset
+  end
+  
+
+  noise = sqrt(variance)*randn(length(tx),1);
+  rx    = tx + noise';
+  
+  %Demod by analog fm
+  rx    = analog_fm_demod(fm_states, rx);
+  
+  %High-pass filter to simulate the FM radios
+  if hpf>0
+    printf("high-pass filtering!\n")
+    rx = filter(b,a,rx);
+  end
+  rx = filter(filt,1,rx);
+  
+  figure(4)
+  title("Spectrum of rx-ed signal after FM demod and FM radio channel");
+  plot(20*log10(abs(fft(rx))))
+  figure(5)
+  title("Time domain of rx-ed signal after FM demod and FM radio channel");
+  plot(rx)
+  %rx = real(rx);
+  %b1 = fir2(100, [0 4000 5200 48000]/48000, [1 1 0.5 0.5]);
+  %rx = filter(b1,1,rx);
+  %[b a] = cheby2(6,40,[3000 6000]/(Fs/2));
+  %rx = filter(b,a,rx);
+  %rx = sign(rx);
+  %rx(find (rx > 1)) = 1;
+  %rx(find (rx < -1)) = -1;
+
+  % dump simulated rx file
+
+  timing_offset_samples = round(timing_offset*states.Ts);
+  st = 1 + timing_offset_samples;
+  rx_bits_buf = zeros(1,2*nbit);
+  x_log = [];
+  timing_nl_log = [];
+  norm_rx_timing_log = [];
+  f_int_resample_log = [];
+  f_log = [];
+  EbNodB_log = [];
+  rx_bits_log = [];
+  rx_bits_sd_log = [];
+
+  for f=1:frames
+
+    % extract nin samples from input stream
+
+    nin = states.nin;
+    en = st + states.nin - 1;
+    sf = rx(st:en);
+    st += nin;
+
+    % demodulate to stream of bits
+
+    [rx_bits states] = fmfsk_demod(states, sf);
+
+    rx_bits_buf(1:nbit) = rx_bits_buf(nbit+1:2*nbit);
+    rx_bits_buf(nbit+1:2*nbit) = rx_bits;
+    rx_bits_log = [rx_bits_log rx_bits];
+
+  end
+
+  ber = 1;
+  ox = 1;
+  rx_bits = rx_bits_log;
+  bitcnt = length(tx_bits);
+  for offset = (1:100)
+    nerr = sum(xor(rx_bits(offset:length(rx_bits)),tx_bits(1:length(rx_bits)+1-offset)));
+    bern = nerr/(bitcnt-offset);
+    if(bern < ber)
+      ox = offset;
+      best_nerr = nerr;
+    end
+    ber = min([ber bern]);
+  end
+  offset = ox;
+  figure(3);
+  plot(xor(rx_bits(ox:length(rx_bits)),tx_bits(1:length(rx_bits)+1-ox)))
+  
+  printf("BER: %f Errors: %d Bits:%d\n",ber,best_nerr,bitcnt-offset);
+  
+ endfunction
+
+
+% demodulate a file of 8kHz 16bit short samples --------------------------------
+
+
+
+
diff --git a/octave/fsk4_dmr.m b/octave/fsk4_dmr.m
new file mode 100644
index 0000000..e6ccb7a
--- /dev/null
+++ b/octave/fsk4_dmr.m
@@ -0,0 +1,540 @@
+% fsk4.m
+%
+% Brady O'Brien October 2015
+%
+% 4FSK modem attempt from the DMR spec
+
+graphics_toolkit("gnuplot");
+
+fm; % analog FM modulator functions
+
+pkg load signal;
+
+% Init function for modem ------------------------------------------------------------
+
+function fsk4_states = fsk4_init(fsk4_states,fsk4_info)
+    Fs = fsk4_states.Fs = 48000;  %Sample rate
+    Rs = fsk4_states.Rs = fsk4_info.rs;     %Symbol rate
+    M = fsk4_states.M = fsk4_states.Fs/fsk4_states.Rs; %Samples per symbol
+    
+    % Set up 4FSK raised cosine filter. This probably screws up perf if we were using
+    % optimal mod and dmeods but helps performance when using nasty old analog FM mods
+    % and demods
+
+    empty_filter = [zeros(1,99) 1];
+
+    rf = (0:(Fs/2));
+    %If there's no filter with this modem configuration, don't bother generating one
+    if fsk4_info.no_filter
+      fsk4_states.tx_filter = empty_filter;
+      fsk4_states.rx_filter = empty_filter;
+    else
+      fsk4_states.tx_filter = fir2(400 ,rf/(Fs/2),fsk4_info.tx_filt_resp(rf));
+      fsk4_states.rx_filter = fir2(400 ,rf/(Fs/2),fsk4_info.rx_filt_resp(rf));
+    endif
+
+    %fsk4_states.tx_filter = fsk4_states.rx_filter = [zeros(1,99) 1];
+    %Set up the 4FSK symbols
+    fsk4_states.symmap = fsk4_info.syms / fsk4_info.max_dev;
+    
+    fm_states.Ts = M;
+    fm_states.Fs = Fs;
+    fm_states.fc = 0;
+    fm_states.fm_max = fsk4_info.max_dev*2;
+    fm_states.fd = fsk4_info.max_dev;
+    fm_states.pre_emp = fm_states.de_emp = 0;
+    fm_states.output_filter = 0;
+    fm_states.ph_dont_limit = 1;
+    fsk4_states.fm_states = analog_fm_init(fm_states);
+    fsk4_states.modinfo = fsk4_info;
+    fsk4_states.verbose = 0;
+endfunction 
+
+%Integrate over data and dump every M samples
+function d = idmp(data, M)
+    d = zeros(1,length(data)/M);
+    for i = 1:length(d)
+      d(i) = sum(data(1+(i-1)*M:i*M));
+    end
+endfunction
+
+
+% DMR modulator ----------------------------------------------------------
+
+function [tx, tx_filt, tx_stream] = fsk4_mod(fsk4_states, tx_bits)
+  verbose = fsk4_states.verbose
+
+  hbits = tx_bits(1:2:length(tx_bits));
+  lbits = tx_bits(2:2:length(tx_bits));
+  %Pad odd bit lengths
+  if(length(hbits)!=length(lbits))
+    lbits = [lbits 0];
+  end
+  tx_symbols = lbits + hbits*2 + 1;
+  M = fsk4_states.M;
+  nsym = length(tx_symbols);
+  nsam = nsym*M;
+
+  tx_stream = zeros(1,nsam);
+  for i=1:nsym
+    tx_stream(1+(i-1)*M:i*M) = fsk4_states.symmap(tx_symbols(i));
+  end
+  tx_filt = filter(fsk4_states.tx_filter, 1, tx_stream);
+  tx = analog_fm_mod(fsk4_states.fm_states, tx_filt);
+
+  if verbose
+    figure(10);
+    plot(20*log10(abs(fft(tx))))
+    title("Spectrum of modulated 4FSK")
+  endif
+
+endfunction
+
+
+% Integrate and Dump 4FSK demod ----------------------------------------------------
+
+function bits = fsk4_demod_thing(fsk4_states, rx)
+
+  M = fsk4_states.M;
+  Fs = fsk4_states.Fs;
+  verbose = fsk4_states.verbose;
+  t = (0:length(rx)-1);
+  symup = fsk4_states.modinfo.syms;
+  
+  % Integrator is like an FIR filter with rectangular window coeffs.
+  % This has some nasty side lobes so lets limit the overall amount
+  % of noise getting in.  tx filter just happens to work, but I imagine
+  % other LPF would as well.
+ 
+  Fs = fsk4_states.Fs;
+  rf = (0:(Fs/2));
+  rx_filter_a = fir1(100 ,.2);
+  rx_filter_b = fsk4_states.rx_filter;
+  rx_filter_n = [zeros(1,99) 1];
+
+  rx = filter(rx_filter_b, 1, rx);
+
+  sym1m = exp(-j*2*pi*(symup(1)/Fs)*t).*rx;
+  sym2m = exp(-j*2*pi*(symup(2)/Fs)*t).*rx;
+  sym3m = exp(-j*2*pi*(symup(3)/Fs)*t).*rx;
+  sym4m = exp(-j*2*pi*(symup(4)/Fs)*t).*rx;
+
+  % this puppy found by experiment between 1 and M. Will vary with different
+  % filter impulse responses, as delay will vary.  f you add M to it coarse
+  % timing will adjust by 1.
+
+  fine_timing = 54;
+
+  sym1m = idmp(sym1m(fine_timing:length(sym1m)),M); sym1m = (real(sym1m).^2+imag(sym1m).^2);
+  sym2m = idmp(sym2m(fine_timing:length(sym2m)),M); sym2m = (real(sym2m).^2+imag(sym2m).^2);
+  sym3m = idmp(sym3m(fine_timing:length(sym3m)),M); sym3m = (real(sym3m).^2+imag(sym3m).^2);
+  sym4m = idmp(sym4m(fine_timing:length(sym4m)),M); sym4m = (real(sym4m).^2+imag(sym4m).^2);
+
+  
+  figure(2);
+  nsym = 500;
+  %subplot(411); plot(sym1m(1:nsym))
+  %subplot(412); plot(sym2m(1:nsym))
+  %subplot(413); plot(sym3m(1:nsym))
+  %subplot(414); plot(sym4m(1:nsym))
+  plot((1:nsym),sym1m(1:nsym),(1:nsym),sym2m(1:nsym),(1:nsym),sym3m(1:nsym),(1:nsym),sym4m(1:nsym))
+  
+  [x iv] = max([sym1m; sym2m; sym3m; sym4m;]);
+  bits = zeros(1,length(iv*2));
+  figure(3);
+  hist(iv);
+  for i=1:length(iv)
+    bits(1+(i-1)*2:i*2) = [[0 0];[0 1];[1 0];[1 1]](iv(i),(1:2));
+  end
+endfunction
+
+function dat = bitreps(in,M)
+  dat = zeros(1,length(in)*M);
+  for i=1:length(in)
+    dat(1+(i-1)*M:i*M) = in(i);
+  end
+endfunction
+
+% Minimal Running Disparity, 4 symbol encoder
+% This is a simple 1 bit to 1 symbol encoding for 4fsk modems built
+% on old fashoned FM radios.
+function syms = mrd4(bits)
+  syms = zeros(1,length(bits));
+  rd=0;
+  lastsym=0;
+  for n = (1:length(bits))
+    bit = bits(n);
+    sp = [1 3](bit+1); %Map a bit to a +1 or +3
+    [x,v] = min(abs([rd+sp rd-sp])); %Select +n or -n, whichever minimizes disparity
+    ssel = [sp -sp](v);
+    if(ssel == lastsym)ssel = -ssel;endif %never run 2 of the same syms in a row
+    syms(n) = ssel; %emit the symbol
+    rd = rd + ssel; %update running disparity
+    lastsym = ssel; %remember this symbol for next time
+  end
+endfunction
+
+% Minimal Running Disparity, 8 symbol encoder
+% This is a simple 2 bit to 1 symbol encoding for 8fsk modems built
+% on old fashoned FM radios.
+function syms = mrd8(bits)
+  bitlen = length(bits);
+  if mod(bitlen,2) == 1
+    bits = [bits 0]
+  endif
+
+  syms = zeros(1,length(bits)*.5);
+  rd=0;
+  lastsym=0;
+  for n = (1:2:length(bits))
+    bit = (bits(n)*2)+bits(n+1);
+    sp = [1 3 7 5](bit+1); %Map a bit to a +1 or +3
+    [x,v] = min(abs([rd+sp rd-sp])); %Select +n or -n, whichever minimizes disparity
+    ssel = [sp -sp](v);
+    if(ssel == lastsym)ssel = -ssel;endif %never run 2 of the same syms in a row
+    syms((n+1)/2) = ssel; %emit the symbol
+    rd = rd + ssel; %update running disparity
+    lastsym = ssel; %remember this symbol for next time
+  end
+endfunction
+
+% "Manchester 4" encoding
+function syms = mane4(bits)
+    syms = zeros(1,floor(bits/2)*2);
+    for n = (1:2:length(bits))
+      bit0 = bits(n);
+      bit1 = bits(n+1);
+      sel = 2*bit0+bit1+1;
+      syms(n:n+1) = [[3 -3];[-3 3];[1 -1];[-1 1]]( sel,(1:2) );
+    end
+endfunction
+
+function out = fold_sum(in,l)
+  sublen = floor(length(in)/l);
+  out = zeros(1,l);
+  for i=(1:sublen)
+    v = in(1+(i-1)*l:i*l);
+    out = out + v;
+  end
+endfunction
+
+function [bits err rxphi] = fsk4_demod_fmrid(fsk4_states, rx, enable_fine_timing = 0)
+  %Demodulate fsk signal with an analog fm demod
+  rxd = analog_fm_demod(fsk4_states.fm_states,rx);
+
+  M = fsk4_states.M;
+  verbose = fsk4_states.verbose;
+  %This is the ideal fine timing, assuming the same offset in nfbert
+  fine_timing = 61;
+
+  %This is meant to be adjusted by the fine timing estimator. comment out for
+  %ideal timing
+  %fine_timing = 59;
+  
+  %RRC filter to get rid of some of the noise
+  rxd = filter(fsk4_states.rx_filter, 1, rxd);
+
+  %Try and figure out where sampling should happen over 30 symbol periods
+  diffsel = fold_sum(abs(diff( rxd(3001:3001+(M*30)) )),10);
+ 
+  if verbose
+    figure(11);
+    plot(diffsel);
+    title("Fine timing estimation");
+  endif
+
+  %adjust fine timing
+  [v iv] = min(diffsel);
+  if enable_fine_timing
+    fine_timing = 59 + iv;
+  endif
+  rxphi = iv;
+
+  %sample symbols
+  sym = rxd(fine_timing:M:length(rxd));
+
+  if verbose
+    figure(4)
+    plot(sym(1:1000));
+    title("Sampled symbols")
+  endif
+  %eyediagram(afsym,2);
+  % Demod symbol map. I should probably figure a better way to do this.
+  % After sampling, the furthest symbols tend to be distributed about .80
+
+  % A little cheating to demap the symbols
+  % Take a histogram of the sampled symbols, find the center of the largest distribution,
+  % and correct the symbol map to match it
+  [a b] = hist(abs(sym),50);
+  [a ii] = max(a);
+  %grmax = abs(b(ii));
+  %grmax = (grmax<.65)*.65 + (grmax>=.65)*grmax;
+  grmax = .84;
+  dmsyms = rot90(fsk4_states.symmap*grmax)
+  (dmsyms(2)+dmsyms(1))/2
+
+  if verbose
+    figure(2)
+    hist(abs(sym),200);
+    title("Sampled symbol histogram")
+  endif
+
+  %demap the symbols
+  [err, symout] = min(abs(sym-dmsyms));
+  
+  if verbose
+    figure(3)
+    hist(symout);
+    title("De-mapped symbols")
+  endif
+
+  bits = zeros(1,length(symout)*2);
+  %Translate symbols back into bits
+
+  for i=1:length(symout)
+    bits(1+(i-1)*2:i*2) = [[1 1];[1 0];[0 1];[0 0]](symout(i),(1:2));
+  end
+endfunction
+
+% Frequency response of the DMR raised cosine filter 
+% from ETSI TS 102 361-1 V2.2.1 page 111
+dmr.tx_filt_resp = @(f) sqrt(1.0*(f<=1920) - cos((pi*f)/1920).*1.0.*(f>1920 & f<=2880));
+dmr.rx_filt_resp = dmr.tx_filt_resp;
+dmr.max_dev = 1944;
+dmr.syms = [-1944 -648 1944 648];
+dmr.rs = 4800;
+dmr.no_filter = 0;
+dmr.demod_fx = @fsk4_demod_fmrid;
+global dmr_info = dmr;
+
+
+% No-filter 4FSK 'ideal' parameters
+nfl.tx_filt_resp = @(f) 1;
+nfl.rx_filt_resp = nfl.tx_filt_resp;
+nfl.max_dev = 7200;
+%nfl.syms = [-3600 -1200 1200 3600];
+nfl.syms = [-7200,-2400,2400,7200];
+nfl.rs = 4800;
+nfl.no_filter = 1;
+nfl.demod_fx = @fsk4_demod_thing;
+global nflt_info = nfl;
+
+%Some parameters for the NXDN filters
+nxdn_al = .2;
+nxdn_T = 416.7e-6;
+nxdn_fl = ((1-nxdn_al)/(2*nxdn_T));
+nxdn_fh = ((1+nxdn_al)/(2*nxdn_T));
+
+%Frequency response of the NXDN filters
+% from NXDN TS 1-A V1.3 page 13
+% Please note : NXDN not fully implemented or tested
+nxdn_H = @(f) 1.0*(f<nxdn_fl) + cos( (nxdn_T/(4*nxdn_al))*(2*pi*f-(pi*(1-nxdn_al)/nxdn_T)) ).*(f<=nxdn_fh & f>nxdn_fl);
+nxdn_P = @(f) (f<=nxdn_fh & f>0).*((sin(pi*f*nxdn_T))./(.00001+(pi*f*nxdn_T))) + 1.0*(f==0);
+nxdn_D = @(f) (f<=nxdn_fh & f>0).*((pi*f*nxdn_T)./(.00001+sin(pi*f*nxdn_T))) + 1.0*(f==0);
+
+nxdn.tx_filt_resp = @(f) nxdn_H(f).*nxdn_P(f);
+nxdn.rx_filt_resp = @(f) nxdn_H(f).*nxdn_D(f);
+nxdn.rs = 4800;
+nxdn.max_dev = 1050;
+nxdn.no_filter = 0;
+nxdn.syms = [-1050,-350,350,1050];
+nxdn.demod_fx = @fsk4_demod_fmrid;
+global nxdn_info = nxdn;
+
+% Bit error rate test ----------------------------------------------------------
+% Params - aEsNodB - EbNo in decibels
+%        - timing_offset - how far the fine timing is offset
+%        - bitcnt - how many bits to check
+%        - demod_fx - demodulator function
+% Returns - ber - the measured BER
+%         - thrcoh - theory BER of a coherent demod
+%         - thrncoh - theory BER of non-coherent demod
+function [ber thrcoh thrncoh] = nfbert(aEsNodB,modem_config, bitcnt=100000, timing_offset = 10)
+
+  rand('state',1); 
+  randn('state',1);
+  
+  %How many bits should this test run?
+  bitcnt = 120000;
+  
+  test_bits = [zeros(1,100) rand(1,bitcnt)>.5]; %Random bits. Pad with zeros to prime the filters
+  fsk4_states.M = 1;
+  fsk4_states = fsk4_init(fsk4_states,modem_config);
+  
+  %Set this to 0 to cut down on the plotting
+  fsk4_states.verbose = 1; 
+  Fs = fsk4_states.Fs;
+  Rb = fsk4_states.Rs * 2;  % Multiply symbol rate by 2, since we have 2 bits per symbol
+  
+  tx = fsk4_mod(fsk4_states,test_bits);
+
+  %add noise here
+  %shamelessly copied from gmsk.m
+  EsNo = 10^(aEsNodB/10);
+  EbNo = EsNo
+  variance = Fs/(Rb*EbNo);
+  nsam = length(tx);
+  noise = sqrt(variance/2)*(randn(1,nsam) + j*randn(1,nsam));
+  rx    = tx*exp(j*pi/2) + noise;
+
+  rx    = rx(timing_offset:length(rx));
+
+  rx_bits = modem_config.demod_fx(fsk4_states,rx);
+  ber = 1;
+  
+  %thing to account for offset from input data to output data
+  %No preamble detection yet
+  ox = 1;
+  for offset = (1:100)
+    nerr = sum(xor(rx_bits(offset:length(rx_bits)),test_bits(1:length(rx_bits)+1-offset)));
+    bern = nerr/(bitcnt-offset);
+    if(bern < ber)
+      ox = offset;
+      best_nerr = nerr;
+    end
+    ber = min([ber bern]);
+  end
+  offset = ox;
+  printf("\ncoarse timing: %d nerr: %d\n", offset, best_nerr);
+
+  % Coherent BER theory
+  thrcoh = erfc(sqrt(EbNo));
+
+  % non-coherent BER theory calculation
+  % It was complicated, so I broke it up
+
+  ms = 4;
+  ns = (1:ms-1);
+  as = (-1).^(ns+1);
+  bs = (as./(ns+1));
+  
+  cs = ((ms-1)./ns);
+
+  ds = ns.*log2(ms);
+  es = ns+1;
+  fs = exp( -(ds./es)*EbNo );
+  
+  thrncoh = ((ms/2)/(ms-1)) * sum(bs.*((ms-1)./ns).*exp( -(ds./es)*EbNo ));
+
+endfunction
+
+% RX fine timing estimation playground
+function rxphi = fine_ex(timing_offset = 1)
+  global dmr_info;
+  global nxdn_info;
+  global nflt_info;
+
+  rand('state',1); 
+  randn('state',1);
+
+  bitcnt = 12051;
+  test_bits = [zeros(1,100) rand(1,bitcnt)>.5]; %Random bits. Pad with zeros to prime the filters
+  t_vec = [0 0 1 1];
+  %test_bits = repmat(t_vec,1,ceil(24000/length(t_vec)));
+
+
+  fsk4_states.M = 1;
+  fsk4_states = fsk4_init(fsk4_states,dmr_info);
+  Fs = fsk4_states.Fs;
+  Rb = fsk4_states.Rs * 2;  %Multiply symbol rate by 2, since we have 2 bits per symbol
+  
+  tx = fsk4_mod(fsk4_states,test_bits);
+
+  %add noise here
+  %shamelessly copied from gmsk.m
+  %EsNo = 10^(aEsNodB/10);
+  %EbNo = EsNo
+  %variance = Fs/(Rb*EbNo);
+  %nsam = length(tx);
+  %noise = sqrt(variance/2)*(randn(1,nsam) + j*randn(1,nsam));
+  %rx    = tx*exp(j*pi/2) + noise;
+  rx    = tx;
+  rx    = rx(timing_offset:length(rx));
+
+  [rx_bits biterr rxphi] = fsk4_demod_fmrid(fsk4_states,rx);
+  ber = 1;
+  
+  %thing to account for offset from input data to output data
+  %No preamble detection yet
+  ox = 1;
+  for offset = (1:100)
+    nerr = sum(xor(rx_bits(offset:length(rx_bits)),test_bits(1:length(rx_bits)+1-offset)));
+    bern = nerr/(bitcnt-offset);
+    if(bern < ber)
+      ox = offset;
+      best_nerr = nerr;
+    end
+    ber = min([ber bern]);
+  end
+  offset = ox;
+  printf("\ncoarse timing: %d nerr: %d\n", offset, best_nerr);
+
+endfunction
+
+%Run over a wide range of offsets and make sure fine timing makes sense
+function fsk4_rx_phi(socket)
+  %pkg load parallel
+  offrange = [100:200];
+  [a b c phi] = pararrayfun(1.25*nproc(),@nfbert,10*length(offrange),offrange);
+  
+  close all;
+  figure(1);
+  clf;
+  plot(offrange,phi);
+endfunction
+
+
+% Run this function to compare the theoretical 4FSK modem performance
+% with our DMR modem simulation
+
+function fsk4_ber_curves
+  global dmr_info;
+  global nxdn_info;
+  global nflt_info;
+
+  EbNodB = 1:20;
+  bers_tco = bers_real = bers_tnco = bers_idealsim = ones(1,length(EbNodB));
+
+  %vectors of the same param to pass into pararrayfun
+  dmr_infos = repmat(dmr_info,1,length(EbNodB));
+  nflt_infos = repmat(nflt_info,1,length(EbNodB));
+  thing = @fsk4_demod_thing;
+
+  % Lovely innovation by Brady to use all cores and really speed up the simulation
+
+  %try
+    pkg load parallel
+    bers_idealsim = pararrayfun(floor(1.25*nproc()),@nfbert,EbNodB,nflt_infos);
+    [bers_real,bers_tco,bers_tnco] = pararrayfun(floor(1.25*nproc()),@nfbert,EbNodB,dmr_infos);
+  %catch
+  %  printf("You should install package parallel. It'll make this run way faster\n");
+  %  for ii=(1:length(EbNodB));
+      %[bers_real(ii),bers,tco(ii),bers_tnco(ii)] = nfbert(EbNodB(ii));
+  %  end
+  %end_try_catch
+
+  close all
+  figure(1);
+  clf;
+  semilogy(EbNodB, bers_tnco,'r;4FSK non-coherent theory;')
+  hold on;
+
+  semilogy(EbNodB, bers_tco,'b;4FSK coherent theory;')
+  semilogy(EbNodB, bers_real ,'g;4FSK DMR simulation;')
+  semilogy(EbNodB, bers_idealsim, 'v;FSK4 Ideal Non-coherent simulation;')
+  hold off;
+  grid("minor");
+  axis([min(EbNodB) max(EbNodB) 1E-5 1])
+  legend("boxoff");
+  xlabel("Eb/No (dB)");
+  ylabel("Bit Error Rate (BER)")
+
+endfunction
+
+
+
+
+
+
+
+
diff --git a/octave/fsk_basic.m b/octave/fsk_basic.m
new file mode 100644
index 0000000..753f4ae
--- /dev/null
+++ b/octave/fsk_basic.m
@@ -0,0 +1,60 @@
+% fsk_basic.m
+% David Rowe 30 sep 2016
+%
+% Basic non-coherent FSK modem simulation to illustrate principles
+% and compare to ideal
+
+rand('seed',1);
+randn('seed',1);
+
+Fs = 9600;     % sample rate
+f1 = 1200;
+f2 = 2400;
+Rs = 1200;     % symbol rate
+Ts = Fs/Rs;    % length of each symbol in samples
+Nbits = 10000;
+EbNodB = 9;    
+
+tx_bits = round(rand(1,Nbits));
+
+% continuous phase FSK modulator
+
+w1 = 2*pi*f1/Fs;
+w2 = 2*pi*f2/Fs;
+tx_phase = 0;
+tx = zeros(1,Ts*Nbits);
+
+for i=1:Nbits
+  for k=1:Ts
+    if tx_bits(i)
+      tx_phase += w2;
+    else
+      tx_phase += w1;
+    end
+    tx((i-1)*Ts+k) = exp(j*tx_phase);
+  end
+end
+
+% AWGN channel noise
+
+EbNo = 10^(EbNodB/10);
+variance = Fs/(Rs*EbNo);
+noise = sqrt(variance/2)*(randn(1,Nbits*Ts) + j*randn(1,Nbits*Ts));
+rx = tx + noise;
+
+% integrate and dump demodulator
+
+rx_bits = zeros(1,Nbits);
+for i=1:Nbits
+  arx_symb = rx((i-1)*Ts + (1:Ts));
+  filt1 = sum(exp(-j*w1*(1:Ts)) .* arx_symb);
+  filt2 = sum(exp(-j*w2*(1:Ts)) .* arx_symb);
+  rx_bits(i) = filt2 > filt1;
+end
+
+Nerrors = sum(xor(tx_bits, rx_bits));
+ber = Nerrors/Nbits;
+printf("EbNodB: %4.1f  Nerrors: %d BER: %1.3f\n", EbNodB, Nerrors, ber);
+
+
+
diff --git a/octave/fsk_cml.m b/octave/fsk_cml.m
new file mode 100644
index 0000000..25ca790
--- /dev/null
+++ b/octave/fsk_cml.m
@@ -0,0 +1,132 @@
+% Test MFSK at symbol level in CML using RA LDPC codes,  Bill, June 2020

+% Simulate in AWGM and plot BERs.    Assumes that CML is installed!

+%

+% If required setup numb of codewords (Ncw) and channel bits/sym (bps, 1 to 4)

+% may also select FEC code with Ctype (1 to 3); use plt to for debug plots of LLR values 

+

+% July 1 version allows M=8 and pads required vectors if required to makeup 3rd bit

+

+ldpc;

+

+%rand('seed',1);

+%randn('seed',1);

+format short g 

+more off

+init_cml();

+

+if exist('Ncw')==0,    Ncw=100, end     %setup defaults 

+if exist('plt')==0,    plt=0;   end

+if exist('bps')==0,    bps=4;   end 

+if exist('Ctype')==0,  Ctype=1, end

+

+if Ctype==1

+   load H_256_768_22.txt;   HRA = H_256_768_22; % rate 1/3

+elseif Ctype==2

+   load H_256_512_4.mat;   HRA=H;  % K=256,  rate 1/2 code

+   % above code might be improved -- but still works better than rate 1/3

+elseif Ctype==3

+   load HRAa_1536_512.mat; % rate 3/4,  N=2k code 

+else

+   error('bad Ctype');

+end

+

+M=2^bps;   nos =0;    clear res

+modulation = 'FSK'; mod_order=M; mapping = 'gray';

+code_param = ldpc_init_user(HRA, modulation, mod_order, mapping);

+

+[Nr Nc] = size(HRA);

+Nbits = Nc - Nr;

+Krate = (Nc-Nr)/Nc

+framesize = Nc;

+%{

+[H_rows, H_cols] = Mat2Hrows(HRA);

+code_param.H_rows = H_rows;

+code_param.H_cols = H_cols;

+code_param.P_matrix = [];

+%}

+

+

+S =CreateConstellation('FSK', M);

+if M==2,   Ebvec=[7:0.2: 8.7],   end 

+if M==4,   Ebvec=[4:0.25: 7],  end

+if M==8,   Ebvec =[3.5: 0.25: 5.5];  end 

+if M==16,  Ebvec=[2.5:0.25:4.8];   end

+

+disp(['Symbol-based ' num2str(M) 'FSK sim with K=' ...

+       num2str(Nbits) ', code rate=' num2str(Krate) ', #CWs=' num2str(Ncw)])

+

+

+

+% if M=8, for 3 bits/symbol, may need to pad codeword with bits ...

+if floor(Nc/bps)*bps ~= Nc

+   Npad = ceil(Nc/bps) *bps-Nc

+   disp('padding codeword')

+else

+   Npad=0; 

+end 

+

+for Eb = Ebvec

+    

+    Ec =  Eb + 10*log10(Krate);

+    Es =  Ec + 10*log10(bps);

+    Eslin = 10^(Es/10);       %Es/N0 = 1/2k_n^2

+

+    Terrs =0;

+    for nn = 1:Ncw

+        

+        txbits = randi(2,1,Nbits) -1;   

+        

+        codeword = LdpcEncode( txbits, code_param.H_rows, code_param.P_matrix );

+        code_param.code_bits_per_frame = length( codeword );

+        code_param.data_bits_per_frame = length(txbits);

+        Nsymb = (code_param.code_bits_per_frame+Npad)/bps;      

+

+        if Npad; codeword = [codeword   zeros(1,Npad)]; end 

+        Tx = Modulate(codeword, S);

+        

+        kn = sqrt(1/(2*Eslin));

+        Rx = Tx + kn * (randn(size(Tx)) + j*randn(size(Tx)));

+        

+        SNRlin = Eslin;  % Valenti calls this SNR, but seems to be Es/N0

+        symL = DemodFSK(Rx, SNRlin, 2);    %demod type is nonCOH, without estimate amplitudes

+        bitL = Somap(symL);

+

+	if Npad, bitL(end-Npad+1:end)=[]; end

+        if plt>0, figure(110);   hist(bitL);   title('bit LLRs')

+            figure(111);   hist(bitL);   title('Sym Ls'),  pause, 

+        end

+        max_it =100;   decoder_type =0;

+        

+        [x_hat, PCcnt] = MpDecode( -bitL, code_param.H_rows, code_param.H_cols, ...

+            max_it, decoder_type, 1, 1);

+        Niters = sum(PCcnt~=0); 

+        detected_data = x_hat(Niters,:);

+        error_positions = xor( detected_data(1:code_param.data_bits_per_frame), txbits );

+        

+        Nerrs = sum( error_positions);

+        if plt>1, figure(121);  plot(error_positions);  Nerrs,  end 

+        Terrs = Terrs + Nerrs; 

+    end

+    

+    BER = Terrs/ (Ncw*Nbits);

+    

+    %HDs = (sign(bitL)+1)/2;

+    %NerrsHD  = sum(codeword~=HDs);

+    %BER_HD = Nerrs/Nbits;

+    

+    nos = nos+1;

+    disp('Eb    Nerrs     BER')

+    res(nos, :) = [Eb, Terrs,  BER]

+    

+end

+figure(91)

+semilogy(res(:,1), res(:,3), '-x'); grid on; hold on;

+%semilogy(res(:,1), berawgn(res(:,1), 'fsk', M, 'noncoherent'), 'g');

+title([num2str(M) 'FSK BER with LDPC FEC'])

+xlabel('Eb/N0'); ylabel('BER')

+

+

+

+

+

+

diff --git a/octave/fsk_cml_sam.m b/octave/fsk_cml_sam.m
new file mode 100644
index 0000000..f7d02f9
--- /dev/null
+++ b/octave/fsk_cml_sam.m
@@ -0,0 +1,376 @@
+%fsk_llr_sam  Test MFSK using David's sample-based mod/demod with CML LLR routines
+%             using 2k rate 3/4 RA LDPC code.     Bill, July 2020
+%
+%LLR conversion options:   (Ltype)
+%    1   David's original  M=2 SD to LLR routine
+%    2   Bill's pdf-based  M=2 or 4 SD to LLR
+%    3   Some simple HD conversions
+%    4   CML approach using symbol likelihoods, then converted to bit LLRs
+%
+% Results from this sim are stored in "res" -- use fsk_llr_plot to see BER figs
+% Use "plt" to see some useful plots (for selected Ltypes) :
+%    eg 1 is SD pdf histograms; 2 is Rx PSD;  3 is bit LLR histograms
+%
+% Adjust Evec and Nbits as required before running. 
+
+#{
+  Example 1 2FSK:
+    octave:4> fsk_cml_sam
+    octave:5> fsk_llr_plot
+
+  Example 2 4FSK:
+    octave:4> M=4; fsk_cml_sam
+    octave:4> fsk_llr_plot
+#}
+
+ldpc;
+
+% define Rician pdf
+% note that Valenti uses an approximation that avoids Bessel evaluation 
+function y = rice(x,v,s)
+  s2 = s*s; 
+  y = (x / s2) .* exp(-0.5 * (x.^2 + v.^2)/s2) .* besseli(0, x*v/s2);
+endfunction
+
+function plot_pdf(v,s)
+  x=(0:0.1:2*v); 
+  y= rice(x, v, s); 
+  figure(201);   hold on 
+  plot(x,y,'g');
+  %title('Rician pdf: signal carrier')
+  y= rice(x, 0, s); 
+  plot(x,y,'b');
+  title('Rician pdf: signal and noise-only carriers')
+  pause(0.01); 
+endfunction 
+  
+% single Eb/No point simulation ---------------
+function [raw_ber rx_filt rx_bits tx_symbols demapper sig_est SNRest v_est] = ...
+	 	  run_single(tx_bits, M, EcNodB,  plt)
+  % Ec/N0 is per channel bit
+  bps = log2(M);  % bits per symbol
+  Ts = 16;        % length of each symbol in samples
+
+  if length(tx_bits)==1
+    Nbits = tx_bits;
+    tx_bits = randi(2,1,Nbits)-1;    % make random bits
+  end
+
+  Nbits = length(tx_bits);
+  Nsymbols = Nbits/log2(M);
+  tx_symbols = zeros(1,Nsymbols);
+
+  mapper = bps:-1:1;
+  % look up table demapper from symbols to bits (hard decision)
+  demapper=zeros(M,bps);
+  for m=1:M
+    for b=1:bps
+        if  bitand(m-1,b) demapper(m,bps-b+1) = 1; end
+    end
+  end
+
+  % continuous phase mFSK modulator
+
+  w(1:M) = 2*pi*(1:M)/Ts;
+  tx_phase = 0;
+  tx = zeros(1,Ts*Nsymbols);
+
+  for s=1:Nsymbols
+    bits_for_this_symbol = tx_bits(bps*(s-1)+1:bps*s);
+    symbol_index = bits_for_this_symbol * mapper' + 1;
+    tx_symbols(s) = symbol_index;
+    assert(demapper(symbol_index,:) == bits_for_this_symbol);
+    for k=1:Ts
+        tx_phase = tx_phase + w(symbol_index);
+        tx((s-1)*Ts+k) = exp(j*tx_phase);
+    end
+  end
+
+  % AWGN channel noise
+
+  EsNodB = EcNodB + 10*log10(bps);
+  EsNo = 10^(EsNodB/10);
+  variance = Ts/EsNo;
+  noise = sqrt(variance/2)*(randn(1,Nsymbols*Ts) + j*randn(1,Nsymbols*Ts));
+  rx = tx + noise;
+
+  if plt==2,    % check the Spectrum
+    [psd,Fpsd] =pwelch(rx,128,0.5,128,Ts);
+    figure(110); plot(Fpsd,10*log10(psd));
+    title('Rx Signal:  PSD ');
+    xlabel('Freq/Rs');
+    %figure(111);plot(unwrap(arg(tx)));
+    pause(0.01);
+  end
+
+
+  % integrate and dump demodulator
+
+  rx_bits = zeros(1,Nbits);
+  rx_filt = zeros(Nsymbols,M);
+  rx_pows = zeros(1,M);
+  rx_nse_pow  = 0.0; rx_sig_pow =0.0;
+  for s=1:Nsymbols
+    arx_symb = rx((s-1)*Ts + (1:Ts));
+    for m=1:M
+        r= sum(exp(-j*w(m)*(1:Ts)) .* arx_symb);
+        rx_pows(m)= r * conj(r);
+        rx_filt(s,m) = abs(r);
+    end
+    [tmp symbol_index] = max(rx_filt(s,:));
+    rx_sig_pow = rx_sig_pow + rx_pows(symbol_index);
+    rx_pows(symbol_index)=[];
+    rx_nse_pow = rx_nse_pow + sum(rx_pows)/(M-1);
+    rx_bits(bps*(s-1)+1:bps*s) = demapper(symbol_index,:);
+  end
+  
+  % using Rxpower = v^2 + sigmal^2
+  rx_sig_pow = rx_sig_pow/Nsymbols;
+  rx_nse_pow = rx_nse_pow/Nsymbols;
+  v_est = sqrt(rx_sig_pow-rx_nse_pow); 
+  SNRest = rx_sig_pow/rx_nse_pow;
+  sig_est = sqrt(rx_nse_pow/2);    % for Rayleigh: 2nd raw moment = 2 .sigma^2
+  Kest = rx_sig_pow/(2.0*sig_est^2) -1.0;
+
+  Nerrors = sum(xor(tx_bits, rx_bits));
+  raw_ber = Nerrors/Nbits;
+  printf('Ec (dB): %4.1f  M: %2d Total bits: %5d      HD Errs: %6d (Raw) BER: %1.3f\n', ...
+      EcNodB, M, Nbits, Nerrors, raw_ber);
+  if plt==1, plot_hist(rx_filt,tx_symbols, M); end
+
+endfunction 
+
+% simulate one codeword of 2 or 4 FSK --------------------------
+function [Nerrors raw_ber EcNodB] = run_single_ldpc(M, Ltype, Nbits,EbNodB, plt, HRA)
+
+  disp([num2str(M) 'FSK coded test ...  '])
+  if M==2
+    bps = 1; modulation = 'FSK'; mod_order=2; mapping = 'gray';
+  elseif M==4
+    bps = 2; modulation = 'FSK'; mod_order=4; mapping = 'gray';
+  else
+    error('sorry - bad value of M!');
+  end
+  decoder_type = 0; max_iterations = 100;
+
+  Hsize=size(HRA); 
+  Krate = (Hsize(2)-Hsize(1))/Hsize(2); %
+  EcNodB = EbNodB + 10*log10(Krate);
+  code_param = ldpc_init_user(HRA, modulation, mod_order, mapping);
+  Nframes = floor(Nbits/code_param.data_bits_per_frame);
+  Nbits = Nframes*code_param.data_bits_per_frame; 
+
+  % Encoder
+  data_bits = round(rand(1,code_param.data_bits_per_frame));
+  tx_bits = [];
+  for f=1:Nframes;
+    codeword_bits = LdpcEncode(data_bits, code_param.H_rows, code_param.P_matrix);
+    tx_bits = [tx_bits codeword_bits];
+  end
+
+  % modem/channel simulation
+  [raw_ber rx_filt rx_bits tx_symbols demapper sig_est SNRlin v_est] = ...
+           run_single(tx_bits,M,EcNodB, plt );
+	   
+  % Decoder
+  Nerrors = 0;
+  for f=1:Nframes
+    st = (f-1)*code_param.coded_bits_per_frame/bps + 1;
+    en = st + code_param.coded_bits_per_frame/bps - 1;
+    if or(Ltype==1, Ltype==3)
+        if bps==1,
+            sd = rx_filt(st:en,1) - rx_filt(st:en,2);
+            %  OR ind = rx_filt(st:en,1) > rx_filt(st:en,2);
+            %     llr = ind'*2 -1;   % this works but use SNR scaling
+            if Ltype==3, HD=1; else, HD = 0;  end
+            llr = sd_to_llr(sd, HD)';    % David's orig 2FSK routine 
+        end
+        if bps==2,
+            if Ltype==3,
+                llr = mfsk_hd_to_llrs(rx_filt(st:en,:), demapper);
+            else
+                error('Ltype =1 not provided for coded 4FSK');
+            end
+        end
+    end
+    if Ltype==2,     % SDs are converted to LLRs
+        % use the SD amp estimates, try Bill's new LLR routine 
+        if plt==1, plot_pdf(v_est, sig_est);  end   
+        llr = mfsk_sd_to_llrs(rx_filt(st:en,:), demapper, v_est, sig_est);
+    end
+    if Ltype==4,
+        % use CML demod:   non-coherent; still seems to need amplitude estimate  
+        symL = DemodFSK(1/v_est*rx_filt(st:en,:)', SNRlin, 1);     
+        llr = -Somap(symL);  % now convert to bit LLRs 
+    end
+    if plt==3, figure(204); hist(llr);
+       title('Histogram LLR for decoder inputs'); pause(0.01); end
+    
+    [x_hat, PCcnt] = MpDecode(llr, code_param.H_rows, code_param.H_cols, ...
+        max_iterations, decoder_type, 1, 1);
+    Niters = sum(PCcnt~=0);
+    detected_data = x_hat(Niters,:);
+    Nerrors = Nerrors + sum(xor(data_bits, detected_data(1:code_param.data_bits_per_frame)));
+  end
+  
+  ber = Nerrors/Nbits;
+  printf('Eb (dB): %4.1f Data Bits: %4d Num CWs: %5d Tot Errs: %5d (Cod) BER: %1.3f\n', ...
+        EbNodB,Nbits , Nframes, Nerrors, ber);
+endfunction 
+
+function plot_hist(rx_filt,tx_symbols, M)
+  % more general version of previous fn; - plots histograms for any Tx patterns
+  Smax = 36;
+  X = 0:Smax-1;
+  H = zeros(1,Smax);  H2 = zeros(1,Smax); s2=0.0;
+  for m = 1:M
+      ind = tx_symbols==m;
+      ind2 =  tx_symbols~=m;
+      H= H+ hist(rx_filt(ind,m),X);
+      H2= H2+ hist(rx_filt(ind2,m),X);
+      x=rx_filt(ind2,m);
+      s2 =s2 + sum(x(:).^2)/length(x);
+  end
+  disp('noise RMS is ');  sqrt(s2/4)
+  figure(207);  clf,  plot(X,H);
+  title([num2str(M) 'FSK pdf for rx=tx symbol'])
+  hold on,   plot(X,H2,'g');
+  title([num2str(M) 'FSK pdf for rx!=tx symbol'])
+  pause(0.1);
+endfunction
+
+
+% 2FSK SD -> LLR mapping that we used for Wenet SSTV system
+function llr = sd_to_llr(sd, HD=0)     %    original 2FSK  + HD option  
+    sd = sd / mean(abs(sd));
+    x = sd - sign(sd);
+    sumsq = sum(x.^2);
+    summ = sum(x);
+    mn = summ/length(sd);
+    estvar = sumsq/length(sd) - mn*mn; 
+    estEsN0 = 1/(2* estvar + 1E-3); 
+    if HD==0, 
+      llr = 4 * estEsN0 * sd;
+    else 
+       llr = 8 * estEsN0 * sign(sd);    %%%%    *4  >> *8  
+    endif
+endfunction
+
+
+
+function llrs = mfsk_sd_to_llrs(SD, map, v, sig)
+  % Array of MFSK SD is converted to bit LLR vector according to mapping 'map' 
+  % SD is M elements wide;  map is M by log2(M); v and sig are params of Rician pdf 
+  % Bill (VK5DSP) for Codec2, version 24/6/20 
+
+  Llim = 1e-7;
+  XX =1.0; %    check LLR scaling? 
+  Smap = size(map); 
+  Ssd = size(SD); 
+  if Smap(1) == 2
+    llrs = zeros(1, Ssd(1)); 
+    bps = 1; 
+    assert(2^bps == Ssd(2), 'wrong SD length?')
+    % note that when v=0, the pdf reverts to Rayleigh 
+    for kk = 1: Ssd(1)
+      Prx_1 =  rice(SD(kk,2), v, sig) * rice(SD(kk,1),0,sig);
+      Prx_0 =  rice(SD(kk,2), 0, sig) * rice(SD(kk,1),v,sig);
+
+      if or(isnan(Prx_1),  Prx_1<Llim), Prx_1 = Llim; end  
+      if or(isnan(Prx_0),  Prx_0<Llim), Prx_0 = Llim; end  
+      llrs(kk) = -XX * log(Prx_1/Prx_0);
+      %% note inversion of LLRs 
+   endfor 
+  else
+    if map==[0 0; 0 1; 1 0; 1 1]   % a specific case for 4FSK
+       llrs = zeros(2, Ssd(1));  
+       for kk = 1: Ssd(1)
+          % pn_m is prob of sub car n given bit m is transmitted 
+          p1_0 = rice(SD(kk,1), 0, sig);  p1_1 = rice(SD(kk,1), v, sig);
+          p2_0 = rice(SD(kk,2), 0, sig);  p2_1 = rice(SD(kk,2), v, sig);
+          p3_0 = rice(SD(kk,3), 0, sig);  p3_1 = rice(SD(kk,3), v, sig);
+          p4_0 = rice(SD(kk,4), 0, sig);  p4_1 = rice(SD(kk,4), v, sig);
+
+          %   second bit 
+          Prx_1 =  p1_0*p3_0*(p2_1*p4_0 + p2_0*p4_1);
+          Prx_0 =  p2_0*p4_0*(p1_1*p3_0 + p1_0*p3_1);
+
+          if or(isnan(Prx_1),  Prx_1<Llim), Prx_1 = Llim; end  
+          if or(isnan(Prx_0),  Prx_0<Llim), Prx_0 = Llim; end  
+          llrs(2,kk) = -XX*log(Prx_1/Prx_0);
+       
+	  %  1st  bit   (LHS) 
+          Prx_1 =  p1_0*p2_0*(p3_1*p4_0 + p3_0*p4_1);
+          Prx_0 =  p3_0*p4_0*(p1_1*p2_0 + p1_0*p2_1);
+
+          if or(isnan(Prx_1),  Prx_1<Llim), Prx_1 = Llim; end  
+          if or(isnan(Prx_0),  Prx_0<Llim), Prx_0 = Llim; end  
+          llrs(1,kk) = -XX* log(Prx_1/Prx_0);
+       endfor
+       llrs= llrs(:);   % convert to single vector of LLRs
+       llrs = llrs'; 
+    else
+      disp('the mapping is '); map  
+      error('not sure how that mapping works!!')
+      endif
+  endif
+endfunction
+
+function llrs = mfsk_hd_to_llrs(sd, map, SNRlin=4)
+% for M=4, compare these results to SD method of mfsk_sd_to_llrs
+  [x, ind] = max(sd');     % find biggest SD
+  b2 = map(ind', :)';      % get bit pairs 
+  b1 = b2(:)';             % convert to row vector
+  b1 = b1*2 -1;            % convert to -1/ +1
+  llrs = -4*SNRlin*b1;     % approx scaling;  default is ~6dB SNR
+endfunction
+
+
+% main ------------------------------------------------------------------------------
+
+format short
+more off
+init_cml();
+
+if exist('Ctype')==0, Ctype=1, end
+
+if Ctype==1
+   load H_256_768_22.txt;   HRA = H_256_768_22; % rate 1/3
+elseif Ctype==2
+   load H_256_512_4.mat;   HRA=H;  % rate 1/2 code 
+elseif Ctype==3
+   load HRAa_1536_512.mat; % rate 3/4 2k code 
+else
+   error('bad Ctype');
+end
+
+Hsize=size(HRA); 
+printf('using LDPC code length: %5d: Code rate:  %5.2f\n',length(HRA), (Hsize(2)-Hsize(1))/Hsize(2))   
+
+% store results in array "res" and plot afterwards
+% retain prev sims?
+if exist('keep_res')==0,  nrun = 0; clear res;  end 
+
+if exist('Nbits')==0, Nbits = 20000,   end
+if exist('Evec')==0,  Evec = [5: 0.5: 9],  end
+if exist('plt')==0.   plt=0;               end
+
+if exist('M')==0,  M=2,  end
+
+for Ltype = [  2  4]    % << add other Ltype options here, if required 
+    for Eb = Evec
+        if and(M==4, Ltype==1)
+	  disp('skip original SD >> LLRs in 4FSK')
+	else 
+          [Nerr raw_ber Ec] = run_single_ldpc(M, Ltype, Nbits, Eb, plt, HRA);
+          nrun = nrun+1; res(nrun,:) =  [Eb Ec M Ltype Nbits Nerr raw_ber];
+	endif
+    end
+end
+disp('results stored in array "res" - plot with fsk_cml_plot')
+disp('     Eb       Ec        M     Ltype    #Bits      #Errs     Raw-BER')
+for n = 1: nrun
+   printf('  %5.1f    %5.1f      %3d     %3d     %6d     %6d      %5.4f \n', res(n,:))
+end 
+
+
diff --git a/octave/fsk_demod_BER_test.py b/octave/fsk_demod_BER_test.py
new file mode 100755
index 0000000..f783cf0
--- /dev/null
+++ b/octave/fsk_demod_BER_test.py
@@ -0,0 +1,610 @@
+#!/usr/bin/env python3
+#
+#   Perform automated Eb/N0 testing of the C-implementation of fsk_mod / fsk_demod
+#
+#   Based on the analysis performed here: https://github.com/projecthorus/radiosonde_auto_rx/blob/master/auto_rx/test/notes/2019-03-03_generate_lowsnr_validation.md
+#
+#   Copyright (C) 2020  Mark Jessop <[email protected]>
+#   Released under GNU GPL v3 or later
+#
+#   Requirements:
+#       - csdr must be installed and available on the path. https://github.com/ha7ilm/csdr
+#       - The following utilities from codec2 need to be built:
+#           - fsk_get_test_bits, fsk_put_test_bits
+#           - fsk_mod, fsk_demod
+#       - Create the directories: 'samples' and 'generated' in this directory (octave)
+#
+import json
+import logging
+import os
+import time
+import traceback
+import subprocess
+import sys
+import argparse
+
+import numpy as np
+import matplotlib.pyplot as plt
+import scipy.signal
+import scipy.interpolate
+
+
+# Variables you will want to adjust:
+
+# Eb/N0 Range to test:
+# Default: 0 through 5 dB in 0.5 db steps, then up to 20 db in 1db steps.
+EBNO_RANGE = np.append(np.arange(0, 5, 0.5), np.arange(5, 20.5, 1))
+
+# Baud rates to test:
+BAUD_RATES = [100, 50, 25]
+
+# Order of the FSK signal (2 or 4)
+FSK_ORDER = 4
+
+# Test Length (bits)
+TEST_LENGTH = 2e4
+
+# Pseudorandom sequence length to generate test frames.
+# NOTE: BER results are quite dependent on the frame length and threshold parameters.
+FRAME_LENGTH = 2000
+
+# Frame threshold detection. This has the effect of setting an upper bound on the BER.
+FRAME_THRESHOLD = 0.4
+
+# Allow a reduction in 'expected' bits of this value, as we expect the modem to need
+# some time to 'spin up' the estimators.
+FRAME_IGNORE = FRAME_LENGTH
+
+# IF sample rate
+SAMPLE_RATE = 48000
+
+# Frequency estimator limits
+ESTIMATOR_LOWER_LIMIT = 100
+ESTIMATOR_UPPER_LIMIT = int(SAMPLE_RATE/2 - 1000)
+
+# Frequency of the low tone (Hz)
+LOW_TONE = 2000
+
+# Tone spacing (Hz)
+TONE_SPACING = 270
+
+# Mask Estimator
+MASK_ESTIMATOR = True
+
+# Switch to 'Low Bit-Rate' mode below this baud rate.
+#LBR_BREAK_POINT = 600 # No more LBR mode
+
+# Halt simulation for a particular baud rate when the BER drops below this level.
+BER_BREAK_POINT = 1e-4
+
+# If enabled, calculate Frequency Estimator error
+FEST_ERROR = True
+
+# Frequency estimator error calculation threshold (*Rs)
+FEST_THRESHOLD = 0.2
+
+# Enable doppler shift.
+# NOTE: This will apply up to +/- 6kHz of doppler shift to the test signal,
+# emulating transmission through a LEO linear transponder.
+# You will need to set the modem centre frequency and parameters such that
+# the modem signal will be contained within a 1-22 kHz modem RX passband.
+# For 100 baud Horus Binary testing, I use:
+# LOW_TONE = 10000
+# TONE_SPACING = 250
+# The TEST_LENGTH setting must also be long enough so that the test modem file
+# is at least 780 seconds long. For 100 baud 4FSK, a TEST_LENGTH of 2e6 is enough.
+DOPPLER_ENABLED = False
+DOPPLER_FILE = "doppler.npz"  # generate using sat_doppler.py
+
+
+STATS_OUTPUT = True
+
+# Where to place the initial test samples.
+SAMPLE_DIR = "./samples"
+
+# Where to place the generated low-SNR samples.
+GENERATED_DIR = "./generated"
+
+# Location of the codec2 utils
+CODEC2_UTILS = "../build/src"
+
+
+THEORY_EBNO = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
+THEORY_BER_4 = [
+    0.22934,
+    0.18475,
+    0.13987,
+    0.09772,
+    0.06156,
+    0.03395,
+    0.01579,
+    0.00591,
+    0.00168,
+    3.39e-4,
+    4.44e-5,
+    # 3.38e-6,
+    # 1.30e-7,
+    # 2.16e-9,
+    # 1.23e-11,
+    # 1.85e-14,
+    # 5.13e-18,
+    # 1.71e-22
+]
+THEORY_BER_2 = [
+    0.30327,
+    0.26644,
+    0.22637,
+    0.18438,
+    0.14240,
+    0.10287,
+    0.06831,
+    0.04080,
+    0.02132,
+    0.00942,
+    0.00337,
+]
+
+#
+# Functions to read files and add noise.
+#
+
+
+def load_sample(filename, loadreal=True):
+    # If loading real samples (which is what fsk_mod outputs), apply a hilbert transform to get an analytic signal.
+    if loadreal:
+        return scipy.signal.hilbert(np.fromfile(filename, dtype="f4"))
+    else:
+        return np.fromfile(filename, dtype="c8")
+
+
+def save_sample(data, filename):
+    # We have to make sure to convert to complex64..
+    data.astype(dtype="c8").tofile(filename)
+
+    # TODO: Allow saving as complex s16 - see view solution here: https://stackoverflow.com/questions/47086134/how-to-convert-a-numpy-complex-array-to-a-two-element-float-array
+
+
+def apply_doppler(data, dopplerfile, fs=48000):
+    """ Apply a doppler curve to an input data stream """
+
+    npzfile = np.load(dopplerfile)
+
+    _time = npzfile["arr_0"]
+    _doppler = npzfile["arr_1"]
+
+    if len(data) < _time[-1] * fs:
+        print("Input data length too short - use more bits!")
+
+    # Clip data length if its too long for the input doppler data
+    if len(data) > _time[-1] * fs:
+        data = data[: int(_time[-1] * fs)]
+
+    # Interpolate the doppler data
+    _interp = scipy.interpolate.interp1d(_time, _doppler, kind="cubic")
+
+    _timesteps = np.arange(0, len(data)) / fs
+    _interp_doppler = _interp(_timesteps)
+
+    # This isn't working properly.
+    phase = np.cumsum(_interp_doppler / fs)
+    mixed = data * np.exp(1.0j * 2.0 * np.pi * phase)
+
+    return mixed
+
+
+def calculate_variance(data, threshold=-100.0):
+    # Calculate the variance of a set of radiosonde samples.
+    # Optionally use a threshold to limit the sample the variance
+    # is calculated over to ones that actually have sonde packets in them.
+
+    _data_log = 20 * np.log10(np.abs(data))
+
+    # MSE is better than variance as a power estimate, as it counts DC
+    data_thresh = data[_data_log > threshold]
+    return np.mean(data_thresh * np.conj(data_thresh))
+
+
+def add_noise(
+    data,
+    variance,
+    baud_rate,
+    ebno,
+    fs=96000,
+    bitspersymbol=1.0,
+    normalise=True,
+    real=False,
+):
+    # Add calibrated noise to a sample.
+
+    # Calculate Eb/No in linear units.
+    _ebno = 10.0 ** ((ebno) / 10.0)
+
+    # Calculate the noise variance we need to add
+    _noise_variance = variance * fs / (baud_rate * _ebno * bitspersymbol)
+
+    # If we are working with real samples, we need to halve the noise contribution.
+    if real:
+        _noise_variance = _noise_variance * 0.5
+
+    # Generate complex random samples
+    _rand_i = np.sqrt(_noise_variance / 2.0) * np.random.randn(len(data))
+    _rand_q = np.sqrt(_noise_variance / 2.0) * np.random.randn(len(data))
+
+    _noisy = data + (_rand_i + 1j * _rand_q)
+
+    if normalise:
+        # print("Normalised to 1.0")
+        return _noisy / np.max(np.abs(_noisy))
+    else:
+        return _noisy
+
+
+def generate_lowsnr(sample, outfile, fs, baud, ebno, order):
+    """ Generate a low SNR test file  """
+
+    if order == 2:
+        _bits_per_symbol = 1
+    else:
+        _bits_per_symbol = 2
+
+    _var = calculate_variance(sample)
+
+    _noisy = add_noise(sample, _var, baud, ebno, fs, _bits_per_symbol)
+
+    save_sample(_noisy, outfile)
+
+    return outfile
+
+
+#
+#   Functions to deal with codec2 utils
+#
+
+
+def generate_fsk(baud):
+    """ Generate a set of FSK data """
+
+    # Calculate the number of bits we need to generate to get out desired test length.
+    if FSK_ORDER == 2:
+        _num_bits = TEST_LENGTH * baud
+    else:
+        _num_bits = TEST_LENGTH * baud * 2
+
+    _num_bits = TEST_LENGTH
+
+    _filename = "%s/fsk_%d_%d_%d_f.bin" % (SAMPLE_DIR, FSK_ORDER, SAMPLE_RATE, baud)
+
+    # Generate the command we need to make:
+    _cmd = (
+        "%s/fsk_get_test_bits - %d %d | %s/fsk_mod %d %d %d %d %d - - | csdr convert_s16_f > %s"
+        % (
+            CODEC2_UTILS,
+            _num_bits,
+            FRAME_LENGTH,
+            CODEC2_UTILS,
+            FSK_ORDER,
+            SAMPLE_RATE,
+            baud,
+            LOW_TONE,
+            TONE_SPACING,
+            _filename,
+        )
+    )
+
+    print(_cmd)
+
+    print("Generating test signal: %d-FSK, %d baud" % (FSK_ORDER, baud))
+
+    # Run the command.
+    try:
+        _start = time.time()
+        _output = subprocess.check_output(_cmd, shell=True, stderr=None)
+        _output = _output.decode()
+    except:
+        # traceback.print_exc()
+        _output = "error"
+
+    _runtime = time.time() - _start
+
+    print("Finished generating test signal.")
+
+    return _filename
+
+
+def process_fsk(
+    filename, baud, complex_samples=True, override_bits=None, stats=False, statsfile=""
+):
+    """ Run a fsk file through fsk_demod """
+
+    _estim_limits = "-b %d -u %d " % (ESTIMATOR_LOWER_LIMIT, ESTIMATOR_UPPER_LIMIT)
+
+    if MASK_ESTIMATOR:
+        _mask = "--mask %d " % TONE_SPACING
+    else:
+        _mask = ""
+
+    if complex_samples:
+        _cpx = "--cs16 "
+    else:
+        _cpx = ""
+
+    if stats:
+        _stats_file = GENERATED_DIR + "/" + statsfile + ".stats"
+        _stats = "--stats=50 "
+    else:
+        _stats = ""
+        _stats_file = None
+
+    _cmd = "cat %s | csdr convert_f_s16 | %s/fsk_demod %s%s%s%s%d %d %d - - " % (
+        filename,
+        CODEC2_UTILS,
+        _mask,
+        _estim_limits,
+        _cpx,
+        _stats,
+        FSK_ORDER,
+        SAMPLE_RATE,
+        baud,
+    )
+
+    if stats:
+        _cmd += "2> %s" % _stats_file
+
+    _cmd += "| %s/fsk_put_test_bits -f %d -t %.2f - 2>&1" % (
+        CODEC2_UTILS,
+        FRAME_LENGTH,
+        FRAME_THRESHOLD,
+    )
+
+    # print("Processing %s" % filename)
+
+    print(_cmd)
+
+    # Run the command.
+    try:
+        _start = time.time()
+        _output = subprocess.check_output(_cmd, shell=True)
+        _output = _output.decode()
+    except subprocess.CalledProcessError as e:
+        _output = e.output.decode()
+    except:
+        traceback.print_exc()
+        _output = "error"
+        print("Run failed!")
+        return (-1, _stats_file)
+
+    _runtime = time.time() - _start
+
+    # Try to grab last line of the stderr output
+    try:
+        _last_line = _output.split("\n")[-3]
+    except:
+        # Lack of a line indicates that we have decoded no data. return a BER of 1.
+        print("No bits decoded.")
+        return (1.0, _stats_file)
+
+    # Detect no decoded bits when feeding in custom put_bits parameters.
+    if "Using" in _last_line:
+        print("No bits decoded.")
+        return (1.0, _stats_file)
+
+    # Example line:
+    # [0009] BER 0.000, bits tested  18000, bit errors      0 errs:    0
+    # [0009] BER 0.000, bits tested  18000, bit errors    0
+    # PASS
+    #
+
+    # split into fields
+    _fields = _last_line.split()
+
+    # Extract number of bits and errors
+    _bits = float(_fields[5][:-1])  # remove the trailing comma
+    _errors = float(_fields[8])
+
+    print("Bits: %d, Errors: %d, Raw BER: %.8f" % (_bits, _errors, _errors / _bits))
+
+    if override_bits != None:
+        if _bits < override_bits:
+            print("Demod got %d bits, but we sent %d bits." % (_bits, override_bits))
+            _errors += override_bits - _bits
+
+    # Calculate and return BER
+    _ber = _errors / _bits
+
+    if _ber > 1.0:
+        _ber = 1.0
+
+    return (_ber, _stats_file)
+
+
+def read_stats(filename, sps = 50):
+    """ Read in a statistics file, and re-organise it for easier calculations """
+
+    _output = {
+        'ebno': [],
+        'f1_est': [],
+        'f2_est': [],
+        'f3_est': [],
+        'f4_est': [],
+        'ppm': [],
+        'time': []
+    }
+
+    with open(filename, 'r') as _f:
+        for _line in _f:
+            if _line[0] != '{':
+                    continue
+
+            try:
+                _data = json.loads(_line)
+            except Exception as e:
+                #print("Line parsing error: %s" % str(e))
+                continue
+
+            _output['ebno'].append(_data['EbNodB'])
+            _output['f1_est'].append(_data['f1_est'])
+            _output['f2_est'].append(_data['f2_est'])
+
+            if 'f3_est' in _data:
+                _output['f3_est'].append(_data['f3_est'])
+                _output['f4_est'].append(_data['f4_est'])
+
+            _output['ppm'].append(_data['ppm'])
+
+            if _output['time'] == []:
+                _output['time'] = [0]
+            else:
+                _output['time'].append(_output['time'][-1]+1.0/sps)
+
+    return _output
+
+
+def freq_est_error(data, Rs):
+    """ Calculate the frequency estimator error """
+
+    _threshold = FEST_THRESHOLD*Rs
+
+    _total_points = len(data['f1_est'])*FSK_ORDER
+
+    _errors = 0
+
+    _errors += np.sum(np.abs(np.array(data['f1_est'])-LOW_TONE) > _threshold)
+    _errors += np.sum(np.abs(np.array(data['f2_est'])-LOW_TONE-TONE_SPACING) > _threshold)
+
+    if FSK_ORDER == 4:
+        _errors += np.sum(np.abs(np.array(data['f3_est'])-LOW_TONE-TONE_SPACING*2) > _threshold)
+        _errors += np.sum(np.abs(np.array(data['f4_est'])-LOW_TONE-TONE_SPACING*3) > _threshold)
+
+
+    return _errors/_total_points
+
+
+if __name__ == "__main__":
+
+    parser = argparse.ArgumentParser(description="FSK modem BER simulations")
+    parser.add_argument("--test", action="store_true", help="run automated test")
+    args = parser.parse_args()
+
+    if args.test:
+        # test the AWGN channel simulation.  We use BPSK that's phase shifted to exercise the
+        # complex maths a bit
+
+        nb_bits = 100000
+        EbNo = 4
+        tx_bits = np.random.randint(2, size=nb_bits)
+        tx_bpsk_symbols = (2 * tx_bits - 1) * np.exp(1j * np.pi / 3)
+        tx_power = calculate_variance(tx_bpsk_symbols)
+
+        # check calculate_variance()
+        assert tx_power < 1.1 and tx_power > 0.9
+
+        # BPSK modem simulation
+        rx_bpsk_symbols = add_noise(tx_bpsk_symbols, tx_power, 1, EbNo, 1, 1)
+        rx_bpsk_symbols = rx_bpsk_symbols * np.exp(-1j * np.pi / 3)
+        rx_bits = np.array([1 if np.real(s) > 0 else 0 for s in rx_bpsk_symbols])
+        nb_errors = np.sum(np.bitwise_xor(tx_bits, rx_bits))
+        ber = nb_errors / nb_bits
+
+        # set limit of +/- 0.25dB on BER
+        EbNo_lin_upper = 10 ** ((EbNo - 0.25) / 10)
+        bpsk_ber_theory_upper = 0.5 * scipy.special.erfc(np.sqrt(EbNo_lin_upper))
+        EbNo_lin_lower = 10 ** ((EbNo + 0.25) / 10)
+        bpsk_ber_theory_lower = 0.5 * scipy.special.erfc(np.sqrt(EbNo_lin_lower))
+        print(
+            "nb_errors: %d ber: %4.3f ber_lower_limit: %4.3f ber_upper_limit: %4.3f"
+            % (nb_errors, ber, bpsk_ber_theory_lower, bpsk_ber_theory_upper)
+        )
+        assert ber < bpsk_ber_theory_upper and ber > bpsk_ber_theory_lower
+        print("AWGN channel simulation test PASSED!")
+        exit()
+
+    plot_data = {}
+
+    for _baud in BAUD_RATES:
+
+        _file = generate_fsk(_baud)
+
+        print("Loading file and converting to complex.")
+        _sample = load_sample(_file)
+
+        if DOPPLER_ENABLED:
+            print("Applying Doppler.")
+            _sample = apply_doppler(_sample, DOPPLER_FILE)
+            print("Done.")
+            _override_bits = _baud * (len(_sample) / SAMPLE_RATE) - FRAME_IGNORE
+        else:
+            _override_bits = TEST_LENGTH - FRAME_IGNORE
+
+        _temp_file = "%s/temp.bin" % GENERATED_DIR
+
+        _ebnos = []
+        _bers = []
+        _fest_err = []
+
+        for _ebno in EBNO_RANGE:
+            generate_lowsnr(_sample, _temp_file, SAMPLE_RATE, _baud, _ebno, FSK_ORDER)
+
+            _ber, _stats_file = process_fsk(
+                _temp_file,
+                _baud,
+                override_bits=_override_bits,
+                stats=STATS_OUTPUT,
+                statsfile="fsk_%d_%.1f" % (_baud, _ebno),
+            )
+
+            print("%.1f, %.8f" % (_ebno, _ber))
+
+            _ebnos.append(_ebno)
+            _bers.append(_ber)
+
+            if FEST_ERROR:
+                _stats = read_stats(_stats_file)
+                _fest_err.append(freq_est_error(_stats, _baud))
+
+            # Halt the simulation if the BER drops below our break point.
+            if _ber < BER_BREAK_POINT:
+                break
+
+        plot_data[_baud] = {"baud": _baud, "ebno": _ebnos, "ber": _bers, "fest_err":_fest_err}
+        print(plot_data[_baud])
+
+        # plt.semilogy(plot_data[_baud]['ebno'], plot_data[_baud]['ber'], label="Simulated - %d bd" % _baud)
+
+    plt.figure()
+
+    print(plot_data)
+
+    for _b in plot_data:
+        plt.semilogy(
+            plot_data[_b]["ebno"], plot_data[_b]["ber"], label="Simulated - %d bd" % _b
+        )
+
+    if FSK_ORDER == 2:
+        plt.semilogy(THEORY_EBNO, THEORY_BER_2, label="Theory")
+    else:
+        plt.semilogy(THEORY_EBNO, THEORY_BER_4, label="Theory")
+
+    plt.xlabel("Eb/N0 (dB)")
+    plt.ylabel("BER")
+
+    # Crop plot to reasonable limits
+    plt.ylim(1e-3, 1)
+    plt.xlim(0, 10)
+
+    plt.title("fsk_demod %d-FSK BER performance" % FSK_ORDER)
+    plt.grid()
+    plt.legend()
+
+    if FEST_ERROR:
+        plt.figure()
+
+        for _b in plot_data:
+            plt.plot(
+                plot_data[_b]["ebno"], plot_data[_b]["fest_err"], label="Simulated - %d bd" % _b
+            )
+        
+        plt.title("Frequency Estimator Error")
+        plt.grid()
+        plt.legend()
+
+    plt.show()
diff --git a/octave/fsk_demod_file.m b/octave/fsk_demod_file.m
new file mode 100644
index 0000000..46aec7b
--- /dev/null
+++ b/octave/fsk_demod_file.m
@@ -0,0 +1,139 @@
+% fsk_demod_file.m
+% David Rowe May 2020
+%
+% Demodulate a file of off air samples and plot a bunch of internal
+% states. Useful for debugging the FSK demod configuration
+
+#{
+   Sample usage to explore demodulator operation with a 100 bits/s 2FSK signal:
+
+   $ cd ~/codec2/build_linux/src
+   $ ./fsk_get_test_bits - 1000 | ./fsk_mod 2 8000 100 1000 1000 - ../../octave/fsk.s16
+   $ octave --no-gui
+   octave:1> fsk_demod_file("fsk.s16",format="s16",8000,100,2)
+
+   Same thing but complex (single sided):
+   
+   $ ./fsk_get_test_bits - 1000 | ./fsk_mod 2 8000 100 1000 1000 - - | ./ch - fsk.cs16 --complexout
+   octave:2> fsk_demod_file("fsk.cs16",format="cs16",8000,100,2)
+#}
+
+function fsk_demod_file(filename, format="s16", Fs=8000, Rs=50, M=2, P=8, avoid_dc = 1, max_secs=1E32)
+  more off;
+  fsk_lib;
+  plot_en = 1;
+
+  states = fsk_init(Fs, Rs, M, P);
+  
+  if strcmp(format,"s16")
+    read_complex = 0; sample_size = 'int16'; shift_fs_on_4=0;
+  elseif strcmp(format,"cs16") || strcmp(format,"iq16")
+    read_complex = 1; sample_size = 'int16'; shift_fs_on_4=0;
+    if avoid_dc states.fest_fmin = states.Rs*0.5; else states.fest_fmin = -Fs/2; end;
+   states.fest_fmax = Fs/2; 
+  elseif strcmp(format,"iqfloat")
+    read_complex = 1; sample_size = 'float32'; shift_fs_on_4=0;
+    if avoid_dc states.fest_fmin = states.Rs*0.5; else states.fest_fmin = -Fs/2; end;
+    states.fest_fmax = Fs/2; 
+  else
+    printf("Error in format: %s\n", format);
+    return;
+  end
+
+  fin = fopen(filename,"rb");
+  if fin == -1 printf("Error opening file: %s\n",filename); return; end
+  
+  nbit = states.nbit;
+
+  frames = 0;
+  rx = []; rx_bits_log = []; norm_rx_timing_log = [];
+  f_int_resample_log = []; EbNodB_log = []; ppm_log = [];
+  f_log = []; Sf_log = [];
+  
+  % Extract raw bits from samples ------------------------------------------------------
+
+  printf("demod of raw bits....\n");
+
+  finished = 0; ph = 1; secs = 0;
+  while (finished == 0)
+
+    % read nin samples from input file
+
+    nin = states.nin;
+    if read_complex
+      [sf count] = fread(fin, 2*nin, sample_size);
+      if strcmp(sample_size, "uint8") sf = (sf - 127)/128; end
+      sf = sf(1:2:end) + j*sf(2:2:end);
+      count /= 2;
+      if shift_fs_on_4
+        % optional shift up in freq by Fs/4 to get into freq est range
+        for i=1:count
+          ph = ph*exp(j*pi/4);
+          sf(i) *= ph;
+        end
+      end
+    else
+      [sf count] = fread(fin, nin, sample_size);
+    end
+    rx = [rx; sf];
+    
+    if count == nin
+      frames++;
+
+      % demodulate to stream of bits
+
+      states = est_freq(states, sf, states.M);
+      if states.freq_est_type == 'mask' states.f = states.f2; end
+      [rx_bits states] = fsk_demod(states, sf);
+
+      rx_bits_log = [rx_bits_log rx_bits];
+      norm_rx_timing_log = [norm_rx_timing_log states.norm_rx_timing];
+      f_int_resample_log = [f_int_resample_log abs(states.f_int_resample)];
+      EbNodB_log = [EbNodB_log states.EbNodB];
+      ppm_log = [ppm_log states.ppm];
+      f_log = [f_log; states.f];
+      Sf_log = [Sf_log; states.Sf'];
+    else
+      finished = 1;
+    end
+
+    secs += nin/Fs;
+    if secs > max_secs finished=1; end
+      
+  end
+  printf("frames: %d\n", frames);
+  fclose(fin);
+
+  if plot_en
+    printf("plotting...\n");
+
+    figure(1); clf;
+    rx_nowave = rx(1000:length(rx)); % skip past wav header if it's a wave file
+    subplot(211)
+    plot(real(rx_nowave));
+    title('input signal to demod (1 sec)')
+    xlabel('Time (samples)');
+    subplot(212);
+    last = min(length(rx_nowave),Fs);
+    Nfft = 2^(ceil(log2(last)));
+    Rx = fft(rx_nowave(1:last).*hanning(last),Nfft);
+    RxdB = 20*log10(abs(fftshift(Rx)));
+    mx = 10*ceil(max(RxdB/10));
+    f = -Nfft/2:Nfft/2-1;
+    plot(f*Fs/Nfft, RxdB);
+    axis([-Fs/2 Fs/2 mx-80 mx])
+    xlabel('Frequency (Hz)');
+    if length(rx) > Fs
+      figure(2); Ndft=2^ceil(log2(Fs/10)); specgram(rx,Ndft,Fs);
+    end
+    figure(3); clf; plot(f_log,'+-'); axis([1 length(f_log) -Fs/2 Fs/2]); title('Tone Freq Estimates');    
+    figure(4); clf; mesh(Sf_log(1:end,:)); title('Freq Est Sf over time');
+    figure(5); clf; plot(f_int_resample_log','+'); title('Integrator outputs for each tone');
+    figure(6); clf; plot(norm_rx_timing_log); axis([1 frames -0.5 0.5]); title('norm fine timing')
+    figure(7); clf; plot(EbNodB_log); title('Eb/No estimate')
+    figure(8); clf; plot(ppm_log); title('Sample clock (baud rate) offset in PPM');
+
+  end
+
+endfunction
+
diff --git a/octave/fsk_horus.m b/octave/fsk_horus.m
new file mode 100644
index 0000000..2b41cf1
--- /dev/null
+++ b/octave/fsk_horus.m
@@ -0,0 +1,876 @@
+% fsk_horus.m
+% David Rowe 10 Oct 2015
+%
+% Project Horus High Altitude Balloon (HAB) FSK demodulator
+% See blog write up "All your modems are belong to us"
+%   http://www.rowetel.com/?p=4629
+
+
+fsk_lib;
+
+
+% Basic modem set up for Horus
+
+function states = fsk_horus_init(Fs,Rs,M=2)
+
+  states = fsk_init(Fs,Rs,M);
+
+  % Freq. estimator limits - keep these narrow to stop errors with low SNR 4FSK
+
+  states.fest_fmin = 300;
+  states.fest_fmax = 2800;
+endfunction
+
+
+% init rtty protocol specific states
+
+function rtty = fsk_horus_init_rtty
+  % Generate unique word that correlates against the ASCII "$$$$$" that
+  % is at the start of each frame.
+  % $ -> 36 decimal -> 0 1 0 0 1 0 0 binary 
+
+  dollar_bits = fliplr([0 1 0 0 1 0 0]);
+  mapped_db = 2*dollar_bits - 1;
+  sync_bits = [1 1 0];
+  mapped_sb = 2*sync_bits - 1;
+
+  mapped = [mapped_db mapped_sb];
+  npad   = rtty.npad   = 3;     % one start and two stop bits between 7 bit ascii chars
+  nfield = rtty.nfield = 7;     % length of ascii character field
+
+  rtty.uw = [mapped mapped mapped mapped mapped];
+  rtty.uw_thresh = length(rtty.uw) - 2; % allow a few bit errors when looking for UW
+  rtty.max_packet_len = 1000;
+endfunction
+
+
+% I think this is the binary protocol work from Jan 2016
+
+function binary = fsk_horus_init_binary
+  % Generate 16 bit "$$" unique word that is at the front of every horus binary
+  % packet
+
+  dollar_bits = [0 0 1 0 0 1 0 0];
+  mapped_db = 2*dollar_bits - 1;
+
+  binary.uw = [mapped_db mapped_db];
+  binary.uw_thresh = length(binary.uw)-2;   % no bit errors when looking for UW
+
+  binary.max_packet_len = 360;
+endfunction
+
+
+% Look for unique word and return index of first UW bit, or -1 if no
+% UW found Sometimes there may be several matches, returns the
+% position of the best match to UW.
+
+function [uw_start best_corr corr] = find_uw(states, start_bit, rx_bits)
+  uw = states.uw;
+
+  mapped_rx_bits = 2*rx_bits - 1;
+  best_corr = 0;
+  uw_start = -1;
+  found_uw = 0;
+
+  % first first UW in buffer that exceeds threshold
+  
+  for i=start_bit:length(rx_bits) - length(uw)
+    corr(i)  = mapped_rx_bits(i:i+length(uw)-1) * uw';
+    if (found_uw == 0) && (corr(i) >= states.uw_thresh)
+      uw_start = i;
+      best_corr = corr;
+      found_uw = 1;
+    end
+  end
+
+endfunction
+
+
+% Extract ASCII string from a Horus frame of bits
+
+function [str crc_ok] = extract_ascii(states, rx_bits_buf, uw_loc)
+  nfield = states.nfield;
+  npad = states.npad;
+
+  str = ""; str_dec = []; nstr = 0; ptx_crc = 1; rx_crc = "";
+  endpacket = 0;
+
+  st = uw_loc + length(states.uw);  % first bit of first char
+  en = uw_loc + states.max_packet_len - nfield;
+  %printf("\nst: %d en: %d len: %d\n", st, en, length(rx_bits_buf));
+
+  for i=st:nfield+npad:en
+    field = rx_bits_buf(i:i+nfield-1);
+    ch_dec = field * (2.^(0:nfield-1))';
+
+    % filter out unlikely characters that bit errors may introduce, and ignore \n
+
+    if (ch_dec > 31) && (ch_dec < 91)
+      str = [str char(ch_dec)];
+    else 
+      str = [str char(32)]; % space is "not sure"
+    end
+    nstr++;
+
+    % build up array for CRC16 check
+
+    if !endpacket && (ch_dec == 42)
+      endpacket = 1; 
+      rx_crc = crc16(str_dec);      % found a '*' so that's the end of the string for CRC calculations
+      ptx_crc = nstr+1;             % this is where the transmit CRC starts
+    end
+    if !endpacket
+      str_dec = [str_dec ch_dec];
+    end
+  end
+
+  if (ptx_crc+3) <= length(str)
+    tx_crc = str(ptx_crc:ptx_crc+3);
+    crc_ok = strcmp(tx_crc, rx_crc);
+  else
+    crc_ok = 0;
+  end
+
+  str = str(1:ptx_crc-2);
+
+endfunction
+
+
+% Use soft decision information to find bits most likely in error.  I think
+% this is some form of maximum likelihood decoding.
+
+function [str crc_ok rx_bits_log_flipped] = sd_bit_flipping(states, rx_bits_log, rx_bits_sd_log, st, en);
+
+  % force algorithm to ignore rs232 sync bits by marking them as "very likely", they have
+  % no input to crc algorithm
+
+  nfield = states.nfield;
+  npad = states.npad;
+  for i=st:nfield+npad:en
+    rx_bits_sd_log(i+nfield:i+nfield+npad-1) = 1E6;
+  end
+
+  % make a list of bits with smallest soft decn values
+
+  [dodgy_bits_mag dodgy_bits_index] = sort(abs(rx_bits_sd_log(st+length(states.uw):en)));
+  dodgy_bits_index += length(states.uw) + st - 1;
+  nbits = 6;
+  ntries = 2^nbits;
+  str = "";
+  crc_ok = 0;
+  
+  % try various combinations of these bits
+
+  for i=1:ntries-1
+    error_mask = zeros(1, length(rx_bits_log));
+    for b=1:nbits
+      x = bitget(i,b);
+      bit_to_flip = dodgy_bits_index(b);
+      error_mask(bit_to_flip) = x;
+      %printf("st: %d i: %d b: %d x: %d index: %d\n", st, i,b,x,bit_to_flip);
+    end
+    rx_bits_log_flipped = xor(rx_bits_log, error_mask);
+    [str_flipped crc_ok_flipped] = extract_ascii(states, rx_bits_log_flipped, st);
+    if crc_ok_flipped
+      %printf("Yayy we fixed a packet by flipping with pattern %d\n", i);
+      str = str_flipped;
+      crc_ok = crc_ok_flipped;
+    end
+  end
+endfunction
+
+
+% Extract as many ASCII packets as we can from a great big buffer of bits
+
+function npackets = extract_and_print_rtty_packets(states, rtty, rx_bits_log, rx_bits_sd_log)
+
+  % use UWs to delimit start and end of data packets
+
+  bit = 1;
+  nbits = length(rx_bits_log);
+  nfield = rtty.nfield;
+  npad = rtty.npad;
+  npackets = 0;
+  
+  uw_loc = find_uw(rtty, bit, rx_bits_log, states.verbose);
+  
+  while (uw_loc != -1)
+    if bitand(states.verbose,0x8)
+      printf("nbits: %d max_packet_len: %d uw_loc: %d\n", nbits, rtty.max_packet_len, uw_loc);
+    end
+    
+    if (uw_loc + rtty.max_packet_len) < nbits
+      % Now start picking out 7 bit ascii chars from frame.  It has some
+      % structure so we can guess where fields are.  I hope we don't get
+      % RS232 idle bits stuck into it anywhere, ie "bit fields" don't
+      % change dynamically.
+
+      % dump msg bits so we can use them as a test signal
+      %msg = rx_bits_log(st:uw_loc-1);
+      %save -ascii horus_msg.txt msg
+
+      % simulate bit error for testing
+      %rx_bits_log(st+200) = xor(rx_bits_log(st+100),1);
+      %rx_bits_sd_log(st+100) = 0;
+      
+      [str crc_ok] = extract_ascii(rtty, rx_bits_log, uw_loc);
+
+      if crc_ok == 0
+        [str_flipped crc_flipped_ok rx_bits_log] = sd_bit_flipping(rtty, rx_bits_log, rx_bits_sd_log, uw_loc, uw_loc+rtty.max_packet_len); 
+      end
+
+      % update memory of previous packet, we use this to guess where errors may be
+      if crc_ok || crc_flipped_ok
+        states.prev_pkt = rx_bits_log(uw_loc+length(rtty.uw):uw_loc+rtty.max_packet_len);
+      end
+
+      if crc_ok
+        str = sprintf("%s CRC OK", str);
+        npackets++;
+      else
+        if crc_flipped_ok
+          str = sprintf("%s fixed", str_flipped);
+        else
+          str = sprintf("%s CRC BAD", str);
+        end
+      end
+      printf("%s\n", str);
+    end
+
+    % look for next packet
+
+    bit = uw_loc + length(rtty.uw);
+    uw_loc = find_uw(rtty, bit, rx_bits_log, states.verbose);
+
+  endwhile
+endfunction
+ 
+
+% Extract as many binary packets as we can from a great big buffer of bits,
+% and send them to the C decoder for FEC decoding.
+% horus_l2 can be compiled a bunch of different ways.  You need to
+% compile with:
+%   codec2-dev/src$ gcc horus_l2.c -o horus_l2 -Wall -DDEC_RX_BITS -DHORUS_L2_RX
+
+function corr_log = extract_and_decode_binary_packets(states, binary, rx_bits_log)
+  corr_log = [];
+
+  % use UWs to delimit start and end of data packets
+
+  bit = 1;
+  nbits = length(rx_bits_log);
+
+  [uw_loc best_corr corr] = find_uw(binary, bit, rx_bits_log, states.verbose);
+  corr_log = [corr_log corr];
+  
+  while (uw_loc != -1)
+
+    if (uw_loc+binary.max_packet_len) < nbits
+      % printf("uw_loc: %d best_corr: %d\n", uw_loc, best_corr);
+
+      % OK we have a packet delimited by two UWs.  Lets convert the bit
+      % stream into bytes and save for decoding
+
+      pin = uw_loc;    
+      for i=1:45
+        rx_bytes(i) = rx_bits_log(pin:pin+7) * (2.^(7:-1:0))';
+        pin += 8;
+        %printf("%d 0x%02x\n", i, rx_bytes(i));
+      end
+
+      f=fopen("horus_rx_bits_binary.bin","wb");
+      fwrite(f, rx_bytes, "uchar");
+      fclose(f);
+
+      % optionally write packet to disk to use as horus_tx_bits_binary.txt
+      f=fopen("horus_rx_bits_binary.txt","wt");
+      for i=uw_loc:uw_loc+45*8-1
+        fprintf(f, "%d ", rx_bits_log(i));
+      end
+      fclose(f);
+
+      system("../src/horus_l2");  % compile instructions above
+    end
+
+    bit = uw_loc + length(binary.uw);
+    [uw_loc best_corr corr] = find_uw(binary, bit, rx_bits_log, states.verbose);
+    corr_log = [corr_log corr];
+   
+  endwhile
+  
+endfunction
+ 
+
+% simulation of tx and rx side, add noise, channel impairments ----------------------
+%
+% test_frame_mode     Description
+% 1                   BER testing using known test frames
+% 2                   random bits
+% 3                   repeating sequence of all symbols
+% 4                   Horus RTTY
+% 5                   Horus Binary
+% 6                   Horus High Speed: A 8x oversampled modem, e.g. Fs=9600, Rs=1200
+%                     which is the same as Fs=921600 Rs=115200
+%                     Uses packet based BER counter
+
+function run_sim(test_frame_mode, M=2, frames = 10, EbNodB = 100, filename="fsk_horus.raw")
+  timing_offset = 0.0; % see resample() for clock offset below
+  fading = 0;          % modulates tx power at 2Hz with 20dB fade depth, 
+                       % to simulate balloon rotating at end of mission
+  df     = 0;          % tx tone freq drift in Hz/s
+  dA     = 1;          % amplitude imbalance of tones (note this affects Eb so not a gd idea)
+
+  more off
+  rand('state',1); 
+  randn('state',1);
+
+  % ----------------------------------------------------------------------
+
+  % sm2000 config ------------------------
+  %states = fsk_horus_init(96000, 1200);
+  %states.f1_tx = 4000;
+  %states.f2_tx = 5200;
+
+  if test_frame_mode < 4
+    % horus rtty config ---------------------
+    states = fsk_horus_init(8000, 50, M);
+  end
+
+  if test_frame_mode == 4
+    % horus rtty config ---------------------
+    states = fsk_horus_init(8000, 100, 2);
+    states.tx_bits_file = "horus_payload_rtty.txt"; % Octave file of bits we FSK modulate
+    rtty = fsk_horus_init_rtty;
+    states.ntestframebits = rtty.max_packet_len;
+  end
+                               
+  if test_frame_mode == 5
+    % horus binary config ---------------------
+    states = fsk_horus_init(8000, 100, 4);
+    binary = fsk_horus_init_binary;
+    states.tx_bits_file = "horus_tx_bits_binary.txt"; % Octave file of bits we FSK modulate
+    states.ntestframebits = binary.max_packet_len;
+  end
+
+  if test_frame_mode == 6
+    % horus high speed ---------------------
+    states = fsk_horus_init(Fs=9600, Rs=1200, M=2, P=8, nsym=16);
+    states.tx_bits_file = "horus_high_speed.bin";
+  end
+
+  % Tones must be at least Rs apart for ideal non-coherent FSK
+
+  states.ftx = 900 + 2*states.Rs*(1:states.M);
+  states.tx_tone_separation = states.ftx(2) - states.ftx(1);
+  
+  % ----------------------------------------------------------------------
+
+  states.verbose = 0x1;
+  M = states.M;
+  N = states.N;
+  P = states.P;
+  Rs = states.Rs;
+  nsym = states.nsym;
+  nbit = states.nbit;
+  Fs = states.Fs;
+  states.df(1:M) = df;
+  states.dA(1:M) = dA;
+
+  % optional noise.  Useful for testing performance of waveforms from real world modulators
+
+  EbNo = 10^(EbNodB/10);
+  variance = states.Fs/(states.Rs*EbNo*states.bitspersymbol);
+
+  % set up tx signal with payload bits based on test mode
+
+  if (test_frame_mode == 1)
+    % test frame of bits, which we repeat for convenience when BER testing
+    states.ntestframebits = states.nbit;
+    test_frame = round(rand(1, states.ntestframebits));
+    tx_bits = [];
+    for i=1:frames+1
+      tx_bits = [tx_bits test_frame];
+    end
+  end
+
+  if test_frame_mode == 2
+    % random bits, just to make sure sync algs work on random data
+    tx_bits = round(rand(1, states.nbit*(frames+1)));
+  end
+
+  if test_frame_mode == 3
+    % repeating sequence of all symbols
+    % great for initial test of demod if nothing else works, 
+    % look for this pattern in rx_bits
+    if M == 2
+       % ...10101...
+      tx_bits = zeros(1, states.nbit*(frames+1));
+      tx_bits(1:2:length(tx_bits)) = 1;
+    else
+      % repeat each possible 4fsk symbol
+      pattern = [0 0 0 1 1 0 1 1];
+      %pattern = [0 0 0 1 1 1 1 0];
+      nrepeats = states.nbit*(frames+1)/length(pattern);
+      tx_bits = [];
+      for b=1:nrepeats
+        tx_bits = [tx_bits pattern];
+      end   
+      %tx_bits = zeros(1, states.nbit*(frames+1));
+    end
+  end
+ 
+  if (test_frame_mode == 4) || (test_frame_mode == 5)
+
+    % load up a horus msg from disk and modulate that
+
+    test_frame = load(states.tx_bits_file);
+    ltf = length(test_frame);
+    ntest_frames = ceil((frames+1)*nbit/ltf);
+    printf("Generating %d test packets\n", ntest_frames);
+
+    % 1 second of random bits to let estimators lock on
+
+    preamble = round(rand(1,states.Rs));
+
+    tx_bits = preamble;    
+    for i=1:ntest_frames
+      tx_bits = [tx_bits test_frame];
+    end
+
+    % a packet len of random bits at end fill buffers to deocode final packet
+
+    if test_frame_mode == 4
+      postamble = round(rand(1,rtty.max_packet_len));
+    else
+      postamble = round(rand(1,binary.max_packet_len));
+    end
+    tx_bits = [tx_bits postamble];
+  end
+
+  if test_frame_mode == 6
+    states.verbose += 0x4;
+    ftmp = fopen(states.tx_bits_file, "rb"); test_frame = fread(ftmp,Inf,"char")'; fclose(ftmp);
+    states.ntestframebits = length(test_frame);
+    printf("length test frame: %d\n", states.ntestframebits);
+    %test_frame = rand(1,states.ntestframebits) > 0.5;
+
+    tx_bits = [];
+    for i=1:frames+1
+      tx_bits = [tx_bits test_frame];
+    end
+  end
+
+  tx = fsk_mod(states, tx_bits);
+
+  %tx = resample(tx, 1000, 1001); % simulated 1000ppm sample clock offset
+
+  if fading
+     ltx = length(tx);
+     tx = tx .* (1.1 + cos(2*pi*2*(0:ltx-1)/Fs))'; % min amplitude 0.1, -20dB fade, max 3dB
+  end
+
+  noise = sqrt(variance)*randn(length(tx),1);
+  rx    = tx + noise;
+  printf("SNRdB meas: %4.1f\n", 10*log10(var(tx)/var(noise)));
+
+  % dump simulated rx file
+
+  ftx=fopen(filename,"wb"); rxg = rx*1000; fwrite(ftx, rxg, "short"); fclose(ftx);
+
+  timing_offset_samples = round(timing_offset*states.Ts);
+  st = 1 + timing_offset_samples;
+  rx_bits_buf = zeros(1,nbit+states.ntestframebits);
+  x_log = [];
+  timing_nl_log = [];
+  norm_rx_timing_log = [];
+  f_int_resample_log = [];
+  f_log = [];
+  EbNodB_log = [];
+  rx_bits_log = [];
+  rx_bits_sd_log = [];
+
+  % main loop ---------------------------------------------------------------
+
+  run_frames = floor(length(rx)/N)-1;
+  for f=1:run_frames
+
+    % extract nin samples from input stream
+
+    nin = states.nin;
+    en = st + states.nin - 1;
+
+    if en < length(rx) % due to nin variations its possible to overrun buffer
+      sf = rx(st:en);
+      st += nin;
+
+      % demodulate to stream of bits
+
+      states = est_freq(states, sf, states.M);
+      %states.f = 900 + 2*states.Rs*(1:states.M);
+      %states.f = [1200 1400 1600 1800];
+      [rx_bits states] = fsk_demod(states, sf);
+
+      rx_bits_buf(1:states.ntestframebits) = rx_bits_buf(nbit+1:states.ntestframebits+nbit);
+      rx_bits_buf(states.ntestframebits+1:states.ntestframebits+nbit) = rx_bits;
+      %rx_bits_buf(1:nbit) = rx_bits_buf(nbit+1:2*nbit);
+      %rx_bits_buf(nbit+1:2*nbit) = rx_bits;
+
+      rx_bits_log = [rx_bits_log rx_bits];
+      rx_bits_sd_log = [rx_bits_sd_log states.rx_bits_sd];
+
+      norm_rx_timing_log = [norm_rx_timing_log states.norm_rx_timing];
+      x_log = [x_log states.x];
+      timing_nl_log = [timing_nl_log states.timing_nl];
+      f_int_resample_log = [f_int_resample_log abs(states.f_int_resample(:,:))];
+      f_log = [f_log; states.f];
+      EbNodB_log = [EbNodB_log states.EbNodB];
+
+      if test_frame_mode == 1
+        states = ber_counter(states, test_frame, rx_bits_buf);
+      end
+      if test_frame_mode == 6
+        states = ber_counter_packet(states, test_frame, rx_bits_buf);
+      end
+   end
+  end
+
+  % print stats, count errors, decode packets  ------------------------------------------
+
+  if (test_frame_mode == 1) || (test_frame_mode == 6)
+    printf("frames: %d EbNo: %3.2f Tbits: %d Terrs: %d BER %4.3f\n", frames, EbNodB, states.Tbits,states. Terrs, states.Terrs/states.Tbits);
+  end
+
+  if test_frame_mode == 4
+    npackets = extract_and_print_rtty_packets(states, rtty, rx_bits_log, rx_bits_sd_log);
+    printf("Received %d packets\n", npackets);
+  end
+
+  if test_frame_mode == 5
+    extract_and_decode_binary_packets(states, binary, rx_bits_log);
+  end
+
+  figure(1);
+  plot(f_int_resample_log','+')
+  hold off;
+
+  figure(2)
+  clf
+  m = max(abs(x_log));
+  plot(x_log,'+')
+  axis([-m m -m m])
+  title('fine timing metric')
+
+  figure(3)
+  clf
+  subplot(211)
+  plot(norm_rx_timing_log);
+  axis([1 run_frames -1 1])
+  title('norm fine timing')
+  subplot(212)
+  plot(states.nerr_log)
+  title('num bit errors each frame')
+
+  figure(4)
+  clf
+  subplot(211)
+  one_sec_rx = rx(1:min(Fs,length(rx)));
+  plot(one_sec_rx)
+  title('rx signal at demod input')
+  subplot(212)
+  plot(abs(fft(one_sec_rx)))
+
+  figure(5)
+  clf
+  plot(f_log,'+')
+  title('tone frequencies')
+  axis([1 run_frames 0 Fs/2])
+
+  figure(6)
+  clf
+  plot(EbNodB_log);
+  title('Eb/No estimate')
+
+  figure(7)
+  clf
+  subplot(211)
+  X = abs(fft(timing_nl_log));
+  plot(X(1:length(X)/2))
+  subplot(212)
+  plot(abs(timing_nl_log(1:100)))
+
+ endfunction
+
+
+% ---------------------------------------------------------------------
+% demodulate from a user-supplied file
+% ---------------------------------------------------------------------
+
+function rx_bits_log = demod_file(filename, test_frame_mode=4, noplot=0, EbNodB=100, max_frames=1E32)
+  fin = fopen(filename,"rb"); 
+  more off;
+  read_complex = 0; sample_size = 'int16'; shift_fs_on_4 = 0;
+  max_frames
+  
+  if test_frame_mode == 4
+    % horus rtty config ---------------------
+    states = fsk_horus_init(8000, 100, 2);
+    rtty = fsk_horus_init_rtty;
+    states.ntestframebits = rtty.max_packet_len;
+  end
+                               
+  if test_frame_mode == 5
+    % horus binary config ---------------------
+    states = fsk_horus_init(8000, 100, 4);
+    binary = fsk_horus_init_binary;
+    states.ntestframebits = binary.max_packet_len;
+  end
+
+  states.verbose = 0x1 + 0x8;
+
+  if test_frame_mode == 6
+    % Horus high speed config --------------
+    states = fsk_horus_init(Fs=9600, Rs=1200, M=2,  P=8, nsym=16);
+    states.tx_bits_file = "horus_high_speed.bin";
+    states.verbose += 0x4;
+    ftmp = fopen(states.tx_bits_file, "rb"); test_frame = fread(ftmp,Inf,"char")'; fclose(ftmp);
+    states.ntestframebits = length(test_frame);
+    printf("length test frame: %d\n", states.ntestframebits);
+  end
+
+  if test_frame_mode == 7
+    % 800XA 4FSK modem --------------
+    states = fsk_init(Fs=8000, Rs=400, M=4, P=10, nsym=256);
+    states.tx_bits_file = "horus_high_speed.bin";
+    states.verbose += 0x4;
+    ftmp = fopen(states.tx_bits_file, "rb"); test_frame = fread(ftmp,Inf,"char")'; fclose(ftmp);
+    states.ntestframebits = length(test_frame);
+    printf("length test frame: %d\n", states.ntestframebits);
+  end
+
+  if test_frame_mode == 8
+    % test RS41 type balllon telemetry --------------
+    states = fsk_init(96000, 4800, 2, 10, 16);
+    states.fest_fmin = 1000;
+    states.fest_fmax = 40000;
+    states.fest_min_spacing = 1000;
+    states.tx_bits_file = "../build_linux/src/tx_bit.bin";
+    states.verbose += 0x4;
+    #ftmp = fopen(states.tx_bits_file, "rb"); test_frame = fread(ftmp,Inf,"char")'; fclose(ftmp);
+    #states.ntestframebits = length(test_frame);
+    #printf("length test frame: %d\n", states.ntestframebits);
+    states.ntestframebits = 1000;
+    read_complex = 1;
+    shift_fs_on_4 = 1; % get samples into range of current freq estimator
+  end
+
+  if test_frame_mode == 9
+    % Wenet high speed SSTV, we can just check raw demo here ---------------------
+    % despite the high sample rate the modem sees this as a 8:1 Fs/Rs configuration
+    states = fsk_init(8000, 1000, 2);
+    states.tx_tone_separation = 1000;
+    states.ntestframebits = (256+2+65)*8+40; % from src/drs232_lpc.c
+    states.freq_est_type = 'mask';
+    read_complex=1; sample_size = 'uint8'; 
+    printf("Wenet mode: ntestframebits: %d freq_est_type: %s\n", states.ntestframebits, states.freq_est_type);
+    %states.verbose = 0x8;
+  end
+                               
+  N = states.N;
+  P = states.P;
+  Rs = states.Rs;
+  nsym = states.nsym;
+  nbit = states.nbit;
+
+  frames = 0;
+  rx = [];
+  rx_bits_log = [];
+  rx_bits_sd_log = [];
+  norm_rx_timing_log = [];
+  f_int_resample_log = [];
+  EbNodB_log = [];
+  ppm_log = [];
+  f_log = []; Sf_log = [];
+  
+  rx_bits_buf = zeros(1,nbit + states.ntestframebits);
+
+  % optional noise.  Useful for testing performance of waveforms from real world modulators
+  % we need to pre-read the file to estimate the signal power
+  ftmp = fopen(filename,"rb"); s = fread(ftmp,Inf,sample_size); fclose(ftmp);
+  if sample_size == "uint8" s = (s - 127)/128; end
+  if read_complex s = s(1:2:end) + j*s(2:2:end); end
+  tx_pwr = var(s);
+  EbNo = 10^(EbNodB/10);
+  variance = (tx_pwr/2)*states.Fs/(states.Rs*EbNo*states.bitspersymbol);
+
+  % First extract raw bits from samples ------------------------------------------------------
+
+  printf("demod of raw bits....\n");
+
+  finished = 0; ph = 1;
+  while (finished == 0)
+
+    % extract nin samples from input stream
+
+    nin = states.nin;
+    if read_complex
+      [sf count] = fread(fin, 2*nin, sample_size);
+      if sample_size == "uint8" sf = (sf - 127)/128; end
+      sf = sf(1:2:end) + j*sf(2:2:end);
+      count /= 2;
+      if shift_fs_on_4
+        % optional shift up in freq by Fs/4 to get into freq est range
+        for i=1:count
+          ph = ph*exp(j*pi/4);
+          sf(i) *= ph;
+        end
+      end
+    else
+      [sf count] = fread(fin, nin, "short");
+    end
+    rx = [rx; sf];
+    
+    % add optional noise
+
+    if count
+      noise = sqrt(variance)*randn(count,1);
+      sf += noise;
+    end
+
+    if count == nin
+      frames++;
+
+      % demodulate to stream of bits
+
+      states = est_freq(states, sf, states.M);
+      if states.freq_est_type == 'mask' states.f = states.f2; end
+      [rx_bits states] = fsk_demod(states, sf);
+
+      rx_bits_buf(1:states.ntestframebits) = rx_bits_buf(nbit+1:states.ntestframebits+nbit);
+      rx_bits_buf(states.ntestframebits+1:states.ntestframebits+nbit) = rx_bits;
+
+      rx_bits_log = [rx_bits_log rx_bits];
+      rx_bits_sd_log = [rx_bits_sd_log states.rx_bits_sd];
+      norm_rx_timing_log = [norm_rx_timing_log states.norm_rx_timing];
+      f_int_resample_log = [f_int_resample_log abs(states.f_int_resample)];
+      EbNodB_log = [EbNodB_log states.EbNodB];
+      ppm_log = [ppm_log states.ppm];
+      f_log = [f_log; states.f];
+      Sf_log = [Sf_log; states.Sf'];
+      
+      if (test_frame_mode == 1)
+        states = ber_counter(states, test_frame, rx_bits_buf);
+        if states.ber_state == 1
+          states.verbose = 0;
+        end
+      end
+      if (test_frame_mode == 6)  % || (test_frame_mode == 8)
+        states = ber_counter_packet(states, test_frame, rx_bits_buf);
+      end
+     else      
+      finished = 1;
+    end
+
+    if frames > max_frames finished=1; end
+      
+  end
+  printf("frames: %d\n", frames);
+  fclose(fin);
+
+  if noplot == 0
+    printf("plotting...\n");
+
+    figure(1); clf;
+    plot(f_log);
+    title('Tone Freq Estimates');
+    
+    figure(2);
+    plot(f_int_resample_log','+')
+    title('Integrator outputs for each tone');
+
+    figure(3); clf
+    subplot(211)
+    plot(norm_rx_timing_log)
+    axis([1 frames -0.5 0.5])
+    title('norm fine timing')
+    subplot(212)
+    plot(states.nerr_log)
+    title('num bit errors each frame')
+ 
+    figure(4); clf
+    plot(EbNodB_log);
+    title('Eb/No estimate')
+
+    figure(5); clf
+    rx_nowave = rx(1000:length(rx)); % skip past wav header if it's a wave file
+    subplot(211)
+    plot(real(rx_nowave));
+    title('input signal to demod (1 sec)')
+    xlabel('Time (samples)');
+    %axis([1 states.Fs -35000 35000])
+
+    % normalise spectrum to 0dB full scale with sine wave input
+    subplot(212);
+    if sample_size == "int16" max_value = 32767; end
+    if sample_size == "uint8" max_value = 127; end
+    RxdBFS = 20*log10(abs(fft(rx_nowave(1:states.Fs)))) - 20*log10((states.Fs/2)*max_value);
+    plot(RxdBFS)
+    axis([1 states.Fs/2 -80 0])
+    xlabel('Frequency (Hz)');
+
+    figure(6); clf
+    plot(ppm_log)
+    title('Sample clock (baud rate) offset in PPM');
+
+    figure(7); clf; mesh(Sf_log(1:10,:));
+  end
+
+  if (test_frame_mode == 1) || (test_frame_mode == 6)
+    printf("frames: %d Tbits: %d Terrs: %d BER %4.3f EbNo: %3.2f\n", frames, states.Tbits,states. Terrs, states.Terrs/states.Tbits, mean(EbNodB_log));
+  end
+
+  % we can decode both protocols at the same time
+
+  if (test_frame_mode == 4)
+    npackets = extract_and_print_rtty_packets(states, rtty, rx_bits_log, rx_bits_sd_log)
+    printf("Received %d packets\n", npackets);
+  end
+  
+  if (test_frame_mode == 5)
+    corr_log = extract_and_decode_binary_packets(states, binary, rx_bits_log);
+    
+    figure(8);
+    clf
+    plot(corr_log);
+    hold on;
+    plot([1 length(corr_log)],[binary.uw_thresh binary.uw_thresh],'g');
+    hold off;
+    title('UW correlation');
+  end
+
+endfunction
+
+
+% Over the years this modem has been used for many different FSK signals ...
+
+if exist("fsk_horus_as_a_lib") == 0
+  run_sim(test_frame_mode=4, M=2, frames=30, EbNodB = 20);
+  %run_sim(5, 4, 30, 100);
+  %rx_bits = demod_file("~/Desktop/115.wav",6,0,90);
+  %rx_bits = demod_file("~/Desktop/fsk_800xa_rx_hackrf.wav",7);
+  %rx_bits = demod_file("~/Desktop/2fsk_100_rx_rpi_rtlsdr_002_ledger.wav",4);
+  %rx_bits = demod_file("~/Desktop/phorus_binary_ascii.wav",4);
+  %rx_bits = demod_file("~/Desktop/binary/horus_160102_binary_rtty_2.wav",4);
+  %rx_bits = demod_file("~/Desktop/horus_160102_vk5ei_capture2.wav",4);
+  %rx_bits = demod_file("~/Desktop/horus_rtty_binary.wav",4);
+  %rx_bits = demod_file("~/Desktop/FSK_4FSK.wav",4);
+  %rx_bits = demod_file("t.raw",5);
+  %rx_bits = demod_file("~/Desktop/fsk_horus_10dB_1000ppm.wav",4);
+  %rx_bits = demod_file("~/Desktop/fsk_horus_6dB_0ppm.wav",4);
+  %rx_bits = demod_file("test.raw",1,1);
+  %rx_bits = .rawdemod_file("/dev/ttyACM0",1);
+  %rx_bits = demod_file("fsk_horus_rx_1200_96k.raw",1);
+  %rx_bits = demod_file("mp.raw",4);
+  %rx_bits = demod_file("~/Desktop/launchbox_v2_landing_8KHz_final.wav",4);
+  %rx_bits = demod_file("~/Desktop/fsk_800xa.wav",7);
+  %rx_bits = demod_file("~/Desktop/rs41_96k_10s.iq16",8);
+end
diff --git a/octave/fsk_lib.m b/octave/fsk_lib.m
new file mode 100644
index 0000000..cea8941
--- /dev/null
+++ b/octave/fsk_lib.m
@@ -0,0 +1,469 @@
+% fsk_lib.m
+% David Rowe Oct 2015 - present
+%
+% mFSK modem, started out life as RTTY demodulator for Project
+% Horus High Altitude Ballon (HAB) telemetry, also used for:
+%
+% FreeDV 2400A: 4FSK UHF/UHF digital voice
+% Wenet.......: 100 kbit/s HAB High Def image telemetry
+%
+% Handles frequency offsets, performance right on ideal, C implementation
+% in codec2/src
+
+1;
+
+function states = fsk_init(Fs, Rs, M=2, P=8, nsym=50)
+  states.M = M;                    
+  states.bitspersymbol = log2(M);
+  states.Fs = Fs;
+  states.Rs = Rs;
+
+  states.nsym = nsym;                             % Number of symbols processed by demodulator in each call, also
+                                                  % the timing estimator window
+  Ts = states.Ts = Fs/Rs;                         % number of samples per symbol
+  assert(Ts == floor(Ts), "Fs/Rs must be an integer");
+
+  N = states.N = Ts*states.nsym;                  % processing buffer size, nice big window for timing est
+  bin_width_Hz = 0.1*Rs;                          % we want enough DFT bins to get within 10% of the tones centre
+  Ndft = Fs/bin_width_Hz;
+  states.Ndft = 2.^ceil(log2(Ndft));              % round to nearest power of 2 for efficient FFT
+  states.Sf = zeros(states.Ndft,1);               % current memory of dft mag samples
+  states.tc = 0.1;                                % average DFT over longtime window, accurate at low Eb/No, but slow
+  
+  states.nbit = states.nsym*states.bitspersymbol; % number of bits per processing frame
+  Nmem = states.Nmem  = N+2*Ts;                   % two symbol memory in down converted signals to allow for timing adj
+
+  states.f_dc = zeros(M,Nmem);
+  states.P = P;                                   % oversample rate out of filter
+  assert(Ts/states.P == floor(Ts/states.P), "Ts/P must be an integer");
+
+  states.tx_tone_separation = 2*Rs;
+  states.nin = N;                                 % can be N +/- Ts/P samples to adjust for sample clock offsets
+  states.verbose = 0;
+  states.phi = zeros(1, M);                       % keep down converter osc phase continuous
+
+  % BER stats 
+
+  states.ber_state = 0;
+  states.ber_valid_thresh = 0.05;  states.ber_invalid_thresh = 0.1; 
+  states.Tbits = 0;
+  states.Terrs = 0;
+  states.nerr_log = 0;
+
+  % extra simulation parameters
+
+  states.tx_real = 1;
+  states.dA(1:M) = 1;
+  states.df(1:M) = 0;
+  states.f(1:M) = 0;
+  states.norm_rx_timing = 0;
+  states.ppm = 0;
+  states.prev_pkt = [];
+ 
+  % Freq. estimator limits
+  states.fest_fmax = Fs;
+  states.fest_fmin = 0;
+  states.fest_min_spacing = 0.75*Rs;
+  states.freq_est_type = 'peak';
+
+  %printf("Octave: M: %d Fs: %d Rs: %d Ts: %d nsym: %d nbit: %d N: %d Ndft: %d fmin: %d fmax: %d\n",
+  %       states.M, states.Fs, states.Rs, states.Ts, states.nsym, states.nbit, states.N, states.Ndft, states.fest_fmin, states.fest_fmax);
+
+endfunction
+
+
+% modulator function
+
+function tx = fsk_mod(states, tx_bits)
+
+    M  = states.M;
+    Ts = states.Ts;
+    Fs = states.Fs;
+    ftx  = states.ftx;
+    df = states.df; % tone freq change in Hz/s
+    dA = states.dA; % amplitude of each tone
+
+    num_bits = length(tx_bits);
+    num_symbols = num_bits/states.bitspersymbol;
+    tx = zeros(states.Ts*num_symbols,1);
+    tx_phase = 0;
+    s = 1;
+
+    for i=1:states.bitspersymbol:num_bits
+
+      % map bits to FSK symbol (tone number)
+
+      K = states.bitspersymbol;
+      tone = tx_bits(i:i+(K-1)) * (2.^(K-1:-1:0))' + 1;
+      
+      tx_phase_vec = tx_phase + (1:Ts)*2*pi*ftx(tone)/Fs;
+      tx_phase = tx_phase_vec(Ts) - floor(tx_phase_vec(Ts)/(2*pi))*2*pi;
+      if states.tx_real
+        tx((s-1)*Ts+1:s*Ts) = dA(tone)*2.0*cos(tx_phase_vec);
+      else
+        tx((s-1)*Ts+1:s*Ts) = dA(tone)*exp(j*tx_phase_vec);
+      end
+      s++;
+
+      % freq drift
+
+      ftx += df*Ts/Fs;
+    end
+    states.ftx = ftx;
+endfunction
+
+
+% Estimate the frequency of the FSK tones.  In some applications (such
+% as balloon telemetry) these may not be well controlled by the
+% transmitter, so we have to try to estimate them.
+
+function states = est_freq(states, sf, ntones)
+  N = states.N;
+  Ndft = states.Ndft;
+  Fs = states.Fs;
+  
+  % This assumption is OK for balloon telemetry but may not be true in
+  % general
+
+  min_tone_spacing = states.fest_min_spacing;
+  
+  % set some limits to search range, which will mean some manual re-tuning
+
+  fmin = states.fest_fmin;
+  fmax = states.fest_fmax;
+  % note 0 Hz is mapped to Ndft/2+1 via fftshift
+  st = floor(fmin*Ndft/Fs) + Ndft/2;  st = max(1,st);
+  en = floor(fmax*Ndft/Fs) + Ndft/2;  en = min(Ndft,en);
+  
+  #printf("Fs: %f Ndft: %d fmin: %f fmax: %f st: %d en: %d\n",Fs, Ndft,  fmin, fmax, st, en)
+  
+  % Update mag DFT  ---------------------------------------------
+
+  % we break up input buffer to a series of overlapping Ndft sequences
+  numffts = floor(length(sf)/(Ndft/2)) - 1;
+  h = hanning(Ndft);
+  for i=1:numffts
+    a = (i-1)*Ndft/2+1; b = a + Ndft - 1;
+    Sf = abs(fftshift(fft(sf(a:b) .* h, Ndft)));
+
+    % Smooth DFT mag spectrum, slower to respond to changes but more
+    % accurate.  Single order IIR filter is an exponentially weighted
+    % moving average.  This means the freq est window is wider than
+    % timing est window
+    tc = states.tc; states.Sf = (1-tc)*states.Sf + tc*Sf;
+  end
+
+  % Search for each tone method 1 - peak pick each tone location ----------------------------------
+
+  f = []; a = [];
+  Sf = states.Sf;
+  for m=1:ntones
+    [tone_amp tone_index] = max(Sf(st:en));
+    tone_index += st - 1;
+    
+    f = [f (tone_index-1-Ndft/2)*Fs/Ndft];
+    a = [a tone_amp];
+
+    % zero out region min_tone_spacing either side of max so we can find next highest peak
+    % closest spacing for non-coh mFSK is Rs
+
+    stz = tone_index - floor((min_tone_spacing)*Ndft/Fs);
+    stz = max(1,stz);
+    enz = tone_index + floor((min_tone_spacing)*Ndft/Fs);
+    enz = min(Ndft,enz);
+    Sf(stz:enz) = 0;
+  end
+
+  states.f = sort(f);
+  
+  % Search for each tone method 2 - correlate with mask with non-zero entries at tone spacings -----
+
+  % Create a mask with non-zero entries at tone spacing.  Might be
+  % smarter to use the DFT of a hanning window as mask
+  
+  mask = zeros(1,Ndft);
+  mask(1:3) = 1;
+  for m=1:ntones-1
+    bin = round(m*states.tx_tone_separation*Ndft/Fs);
+    mask(bin:bin+2) = 1;
+  end
+  mask = mask(1:bin+2);
+  states.mask = mask;
+  
+  % drag mask over Sf, looking for peak in correlation
+  b_max = st; corr_max = 0;
+  Sf = states.Sf; corr_log = [];
+  for b=st:en-length(mask)
+    corr = mask * Sf(b:b+length(mask)-1);
+    corr_log = [corr_log corr];
+    if corr > corr_max
+      corr_max = corr;
+      b_max = b;
+    end
+  end
+  foff = ((b_max-1)-Ndft/2)*Fs/Ndft;
+  
+  if bitand(states.verbose, 0x8)
+    % enable this to single step through frames
+    figure(1); clf; subplot(211); plot(Sf,'b;sf;'); 
+    hold on; plot(max(Sf)*[zeros(1,b_max) mask],'g;mask;'); hold off;
+    subplot(212); plot(corr_log); ylabel('corr against f');
+    printf("foff: %4.0f\n", foff);
+    kbhit;
+  end
+  states.f2 = foff + (0:ntones-1)*states.tx_tone_separation;
+end
+
+
+% ------------------------------------------------------------------------------------
+% Given a buffer of nin input Rs baud FSK samples, returns nsym bits.
+%
+% nin is the number of input samples required by demodulator.  This is
+% time varying.  It will nominally be N (8000), and occasionally N +/- 
+% Ts/2 (e.g. 8080 or 7920).  This is how we compensate for differences between the
+% remote tx sample clock and our sample clock.  This function always returns
+% N/Ts (e.g. 50) demodulated bits.  Variable number of input samples, constant number
+% of output bits.
+
+function [rx_bits states] = fsk_demod(states, sf)
+  M = states.M;
+  N = states.N;
+  Ndft = states.Ndft;
+  Fs = states.Fs;
+  Rs = states.Rs;
+  Ts = states.Ts;
+  nsym = states.nsym;
+  P = states.P;
+  nin = states.nin;
+  verbose = states.verbose;
+  Nmem = states.Nmem;
+  f = states.f;
+
+  assert(length(sf) == nin);
+
+  % down convert and filter at rate P ------------------------------
+
+  % update filter (integrator) memory by shifting in nin samples
+  
+  nold = Nmem-nin; % number of old samples we retain
+
+  f_dc = states.f_dc; 
+  f_dc(:,1:nold) = f_dc(:,Nmem-nold+1:Nmem);
+
+  % freq shift down to around DC, ensuring continuous phase from last frame, as nin may vary
+  for m=1:M
+    phi_vec = states.phi(m) + (1:nin)*2*pi*f(m)/Fs;
+    f_dc(m,nold+1:Nmem) = sf .* exp(j*phi_vec)';
+    states.phi(m)  = phi_vec(nin);
+    states.phi(m) -= 2*pi*floor(states.phi(m)/(2*pi));
+  end
+  % save filter (integrator) memory for next time
+  states.f_dc = f_dc;
+  
+  % integrate over symbol period, which is effectively a LPF, removing
+  % the -2Fc frequency image.  Can also be interpreted as an ideal
+  % integrate and dump, non-coherent demod.  We run the integrator at
+  % rate P*Rs (1/P symbol offsets) to get outputs at a range of
+  % different fine timing offsets.  We calculate integrator output
+  % over nsym+1 symbols so we have extra samples for the fine timing
+  % re-sampler at either end of the array.
+
+  f_int = zeros(M,(nsym+1)*P);
+  for i=1:(nsym+1)*P
+    st = 1 + (i-1)*Ts/P;
+    en = st+Ts-1;
+    for m=1:M
+      f_int(m,i) = sum(f_dc(m,st:en));
+    end
+  end
+  states.f_int = f_int;
+  
+  % fine timing estimation -----------------------------------------------
+
+  % Non linearity has a spectral line at Rs, with a phase
+  % related to the fine timing offset.  See:
+  %   http://www.rowetel.com/blog/?p=3573 
+  % We have sampled the integrator output at Fs=P samples/symbol, so
+  % lets do a single point DFT at w = 2*pi*f/Fs = 2*pi*Rs/(P*Rs)
+  %
+  % Note timing non-linearity derived by experiment.  Not quite sure what I'm doing here.....
+  % but it gives 0dB impl loss for 2FSK Eb/No=9dB, testmode 1:
+  %   Fs: 8000 Rs: 50 Ts: 160 nsym: 50
+  %   frames: 200 Tbits: 9700 Terrs: 93 BER 0.010
+
+  Np = length(f_int(1,:));
+  w = 2*pi*(Rs)/(P*Rs);
+  timing_nl = sum(abs(f_int(:,:)).^2);
+  x = timing_nl * exp(-j*w*(0:Np-1))';
+  norm_rx_timing = angle(x)/(2*pi);
+  rx_timing = norm_rx_timing*P;
+
+  states.x = x;
+  states.timing_nl = timing_nl;
+  states.rx_timing = rx_timing;
+  prev_norm_rx_timing = states.norm_rx_timing;
+  states.norm_rx_timing = norm_rx_timing;
+
+  % estimate sample clock offset in ppm
+  % d_norm_timing is fraction of symbol period shift over nsym symbols
+
+  d_norm_rx_timing = norm_rx_timing - prev_norm_rx_timing;
+
+  % filter out big jumps due to nin changes
+
+  if abs(d_norm_rx_timing) < 0.2
+    appm = 1E6*d_norm_rx_timing/nsym;
+    states.ppm = 0.9*states.ppm + 0.1*appm;
+  end
+
+  % work out how many input samples we need on the next call. The aim
+  % is to keep angle(x) away from the -pi/pi (+/- 0.5 fine timing
+  % offset) discontinuity.  The side effect is to track sample clock
+  % offsets
+
+  next_nin = N;
+  if norm_rx_timing > 0.25
+     next_nin += Ts/4;
+  end
+  if norm_rx_timing < -0.25;
+     next_nin -= Ts/4;
+  end
+  states.nin = next_nin;
+
+  % Now we know the correct fine timing offset, Re-sample integrator
+  % outputs using fine timing estimate and linear interpolation, then
+  % extract the demodulated bits
+
+  low_sample = floor(rx_timing);
+  fract = rx_timing - low_sample;
+  high_sample = ceil(rx_timing);
+
+  if bitand(verbose,0x2)
+    printf("rx_timing: %3.2f low_sample: %d high_sample: %d fract: %3.3f nin_next: %d\n", rx_timing, low_sample, high_sample, fract, next_nin);
+  end
+
+  f_int_resample = zeros(M,nsym);
+  rx_bits = zeros(1,nsym*states.bitspersymbol);
+  tone_max = zeros(1,nsym);
+  rx_nse_pow = 1E-12; rx_sig_pow = 0.0;
+  
+  for i=1:nsym
+    st = i*P+1;
+    f_int_resample(:,i) = f_int(:,st+low_sample)*(1-fract) + f_int(:,st+high_sample)*fract;
+
+    % Hard decision decoding, Largest amplitude tone is the winner.
+    % Map this FSK "symbol" back to bits, depending on M
+
+    [tone_max(i) tone_index] = max(f_int_resample(:,i));
+    st = (i-1)*states.bitspersymbol + 1;
+    en = st + states.bitspersymbol-1;
+    arx_bits = dec2bin(tone_index - 1, states.bitspersymbol) - '0';
+    rx_bits(st:en) = arx_bits;
+
+    % each filter is the DFT of a chunk of spectrum.  If there is no tone in the
+    % filter it can be considered an estimate of noise in that bandwidth
+    rx_pows = f_int_resample(:,i) .* conj(f_int_resample(:,i));
+    rx_sig_pow += rx_pows(tone_index);
+    rx_nse_pow += (sum(rx_pows) - rx_pows(tone_index))/(M-1);
+  end
+
+  states.f_int_resample = f_int_resample;
+
+  % Eb/No estimation (todo: this needs some work, like calibration, low Eb/No perf, work for all M)
+  tone_max = abs(tone_max);
+  states.EbNodB = -6 + 20*log10(1E-6+mean(tone_max)/(1E-6+std(tone_max)));
+
+  % Estimators for LDPC decoder, might be a bit rough if nsym is small
+  rx_sig_pow = rx_sig_pow/nsym;
+  rx_nse_pow = rx_nse_pow/nsym;
+  states.v_est = sqrt(rx_sig_pow-rx_nse_pow); 
+  states.SNRest = rx_sig_pow/rx_nse_pow;
+endfunction
+
+
+% BER counter and test frame sync logic -------------------------------------------
+% We look for test_frame in rx_bits_buf,  rx_bits_buf must be twice as long as test_frame
+
+function states = ber_counter(states, test_frame, rx_bits_buf)
+  nbit = length(test_frame);
+  assert (length(rx_bits_buf) == 2*nbit);
+  state = states.ber_state;
+  next_state = state;
+
+  if state == 0
+
+    % try to sync up with test frame
+
+    nerrs_min = nbit;
+    for i=1:nbit
+      error_positions = xor(rx_bits_buf(i:nbit+i-1), test_frame);
+      nerrs = sum(error_positions);
+      if nerrs < nerrs_min
+        nerrs_min = nerrs;
+        states.coarse_offset = i;
+      end
+    end
+    if nerrs_min/nbit < states.ber_valid_thresh
+      next_state = 1;
+    end
+    if bitand(states.verbose,0x4)
+      printf("coarse offset: %d nerrs_min: %d next_state: %d\n", states.coarse_offset, nerrs_min, next_state);
+    end
+    states.nerr = nerrs_min;
+  end
+
+  if state == 1  
+
+    % we're synced up, lets measure bit errors
+
+    error_positions = xor(rx_bits_buf(states.coarse_offset:states.coarse_offset+nbit-1), test_frame);
+    nerrs = sum(error_positions);
+    if nerrs/nbit > states.ber_invalid_thresh
+      next_state = 0;
+      if bitand(states.verbose,0x4)
+        printf("coarse offset: %d nerrs: %d next_state: %d\n", states.coarse_offset, nerrs, next_state);
+      end
+    else
+      states.Terrs += nerrs;
+      states.Tbits += nbit;
+      states.nerr_log = [states.nerr_log nerrs];
+    end
+    states.nerr = nerrs;
+  end
+
+  states.ber_state = next_state;
+endfunction
+
+
+% Alternative stateless BER counter that works on packets that may have gaps between them
+
+function states = ber_counter_packet(states, test_frame, rx_bits_buf)
+  ntestframebits = states.ntestframebits;
+  nbit = states.nbit;
+
+  % look for offset with min errors
+
+  nerrs_min = ntestframebits; coarse_offset = 1;
+  for i=1:nbit
+    error_positions = xor(rx_bits_buf(i:ntestframebits+i-1), test_frame);
+    nerrs = sum(error_positions);
+    %printf("i: %d nerrs: %d\n", i, nerrs);
+    if nerrs < nerrs_min
+      nerrs_min = nerrs;
+      coarse_offset = i;
+    end
+  end
+
+  % if less than threshold count errors
+
+  if nerrs_min/ntestframebits < 0.05 
+    states.Terrs += nerrs_min;
+    states.Tbits += ntestframebits;
+    states.nerr_log = [states.nerr_log nerrs_min];
+    if bitand(states.verbose, 0x4)
+      printf("coarse_offset: %d nerrs_min: %d\n", coarse_offset, nerrs_min);
+    end
+  end
+endfunction
+
+
diff --git a/octave/fsk_lib_demo.m b/octave/fsk_lib_demo.m
new file mode 100644
index 0000000..c6d83b6
--- /dev/null
+++ b/octave/fsk_lib_demo.m
@@ -0,0 +1,101 @@
+% fsk_lib_demo.m
+% Uncoded FSK modem demo
+
+fsk_lib;
+
+% set up waveform
+function [states M bits_per_frame] = modem_init(Rs,Fs,df)
+  M  = 4;
+  states = fsk_init(Fs,Rs,M,P=8,nsym=100);
+  bits_per_frame = 512;
+  states.tx_real = 0; % complex signal
+  states.tx_tone_separation = 250;
+  states.ftx = -2.5*states.tx_tone_separation + states.tx_tone_separation*(1:M);
+  states.fest_fmin = -Fs/2;
+  states.fest_fmax = +Fs/2;
+  states.fest_min_spacing = Rs/2;
+  states.df = df;
+
+  states.ber_valid_thresh = 0.1;
+  states.ber_invalid_thresh = 0.2; 
+end
+
+% Run a complete modem (freq and timing estimators running) at a
+% single Eb/No point.  At low Eb/No the estimators occasionally fall
+% over so we get complete junk, we consider that case a packet error
+% and exclude it from the BER estimation.
+
+function [states ber per] = modem_run_test(EbNodB = 10, num_frames=10, Fs=8000, Rs=100, df=0, plots=0)
+  randn('state',1); rand('state',1);
+  [states M bits_per_frame] = modem_init(Rs, Fs, df);
+  N = states.N;
+  if plots; states.verbose = 0x4; end
+  EbNo = 10^(EbNodB/10);
+  variance = states.Fs/(states.Rs*EbNo*states.bitspersymbol);
+
+  nbits = bits_per_frame*num_frames;
+  test_frame = round(rand(1,bits_per_frame)); tx_bits = [];
+  for f=1:num_frames
+    tx_bits = [tx_bits test_frame];
+  end
+
+  tx = fsk_mod(states, tx_bits);
+  noise = sqrt(variance/2)*randn(length(tx),1) + j*sqrt(variance/2)*randn(length(tx),1);
+  rx = tx + noise;
+
+  run_frames = floor(length(rx)/N)-1;
+  st = 1; f_log = []; f_log2 = []; rx_bits = []; rx_bits2 = [];
+  for f=1:run_frames
+
+    % extract nin samples from input stream
+    nin = states.nin;
+    en = st + states.nin - 1;
+
+    % due to nin variations it's possible to overrun buffer
+    if en < length(rx)
+      sf = rx(st:en);
+      states = est_freq(states, sf, states.M);  states.f = states.f2;
+      [arx_bits states] = fsk_demod(states, sf);
+      rx_bits = [rx_bits arx_bits];
+      f_log = [f_log; states.f];
+      st += nin;
+    end
+  end
+
+  num_frames=floor(length(rx_bits)/bits_per_frame);
+  log_nerrs = []; num_frames_rx = 0;
+  for f=1:num_frames-1
+    st = (f-1)*bits_per_frame + 1; en = (f+1)*bits_per_frame;
+    states = ber_counter(states, test_frame, rx_bits(st:en));
+    log_nerrs = [log_nerrs states.nerr];
+    if states.ber_state; num_frames_rx++; end
+  end
+  if states.Terrs
+    printf("Fs: %d Rs: %d df % 3.2f EbNo: %4.2f ftx: %3d frx: %3d nbits: %4d nerrs: %3d ber: %4.3f\n",
+            Fs, Rs, df, EbNodB, num_frames, num_frames_rx, states.Tbits, states.Terrs, states.Terrs/states.Tbits);
+    ber = states.Terrs/states.Tbits;
+  else
+    ber = 0.5;
+  end
+
+  if plots
+    figure(1); clf;
+    ideal=ones(length(f_log),1)*states.ftx;
+    plot((1:length(f_log)),ideal(:,1),'bk;ideal;')
+    hold on; plot((1:length(f_log)),ideal(:,2:states.M),'bk'); hold off;
+    hold on;
+    plot(f_log(:,1), 'linewidth', 2, 'b;peak;');
+    plot(f_log(:,2:states.M), 'linewidth', 2, 'b');
+    hold off;
+    xlabel('Time (frames)'); ylabel('Frequency (Hz)');
+    figure(2); clf; plot(log_nerrs); title('Errors per frame');
+  end
+
+  per = 1 - num_frames_rx/num_frames;
+end
+
+[states ber per] = modem_run_test(EbNodB=6);
+BER_theory=0.01579; % for Eb/No = 6dB
+if ber < 1.5*BER_theory
+  printf("PASS\n");
+end
diff --git a/octave/fsk_lib_ldpc.m b/octave/fsk_lib_ldpc.m
new file mode 100644
index 0000000..9275636
--- /dev/null
+++ b/octave/fsk_lib_ldpc.m
@@ -0,0 +1,45 @@
+% fsk_lib_ldpc.m
+%
+% Library of common functions used for LDPC coded 4FSK modem experiments
+
+fsk_lib;
+ldpc;
+
+% set up modem waveform, real signal that an pass through a SSB radio
+function [states M] = modem_init(Rs,Fs,df)
+  M  = 4;
+  if Rs == 100 P=8; end
+  if Rs == 400 P=10; end;
+  states = fsk_init(Fs,Rs,M,P=10,nsym=100);
+  states.tx_real = 1;
+  states.tx_tone_separation = Rs;
+  if Rs == 100
+    states.ftx = 1500 -2.5*states.tx_tone_separation + states.tx_tone_separation*(1:M);
+  elseif Rs == 400
+    states.ftx = 600 + states.tx_tone_separation*(0:M-1);
+  else
+    disp("unknown symbol rate");
+  end  
+  states.fest_fmin = 500;
+  states.fest_fmax = 2500;
+  states.fest_min_spacing = Rs/2;
+  states.df = df;
+
+  states.ber_valid_thresh = 0.1;
+  states.ber_invalid_thresh = 0.2;
+
+  states.amp_scale = 1000;
+end
+
+% set up modem waveform and LPC code
+function [states code_param] = fsk_lib_ldpc_init (HRA, Rs, Fs, df=0, plots=0)
+  [states M] = modem_init(Rs, Fs, df);
+  N = states.N;
+  if plots; states.verbose = 0x4; end
+
+  Hsize=size(HRA); 
+  states.rate = (Hsize(2)-Hsize(1))/Hsize(2);
+  code_param = ldpc_init_user(HRA, modulation='FSK', mod_order=states.M, mapping='gray');
+  states.coden = code_param.coded_bits_per_frame;
+  states.codek = code_param.data_bits_per_frame;
+end
diff --git a/octave/fsk_lib_ldpc_demo.m b/octave/fsk_lib_ldpc_demo.m
new file mode 100644
index 0000000..62b2ea0
--- /dev/null
+++ b/octave/fsk_lib_ldpc_demo.m
@@ -0,0 +1,172 @@
+% fsk_lib_ldpc_demo.m
+%
+% LDPC coded 4FSK modem demo, demonstrating soft dec using CML library functions
+
+fsk_lib;
+ldpc;
+
+% set up waveform
+function [states M] = modem_init(Rs,Fs,df)
+  M  = 4;
+  states = fsk_init(Fs,Rs,M,P=8,nsym=100);
+  states.tx_real = 0;
+  states.tx_tone_separation = 250;
+  states.ftx = -2.5*states.tx_tone_separation + states.tx_tone_separation*(1:M);
+  states.fest_fmin = -Fs/2;
+  states.fest_fmax = +Fs/2;
+  states.fest_min_spacing = Rs/2;
+  states.df = df;
+
+  states.ber_valid_thresh = 0.1;
+  states.ber_invalid_thresh = 0.2;
+end
+
+% Run a complete modem (freq and timing estimators running) at a
+% single Eb/No point.  At low Eb/No the estimators occasionally fall
+% over so we get complete junk, we consider that case a packet error
+% and exclude it from the BER estimation.
+
+function [states uber cber cper] = modem_run_test(HRA, EbNodB = 10, num_frames=10, Fs=8000, Rs=100, df=0, plots=0)
+  rand('seed',1); randn('seed',1);
+  [states M] = modem_init(Rs, Fs, df);
+  N = states.N;
+  if plots; states.verbose = 0x4; end
+
+  % set up LDPC code
+  Hsize=size(HRA);
+  Krate = (Hsize(2)-Hsize(1))/Hsize(2); states.rate = Krate;
+  code_param = ldpc_init_user(HRA, modulation='FSK', mod_order=states.M, mapping='gray');
+  states.coden = code_param.coded_bits_per_frame;
+  states.codek = code_param.data_bits_per_frame;
+
+  % set up AWGN noise
+  EcNodB = EbNodB + 10*log10(Krate);
+  EcNo = 10^(EcNodB/10);
+  variance = states.Fs/(states.Rs*EcNo*states.bitspersymbol);
+
+  data_bits = round(rand(1,code_param.data_bits_per_frame)); tx_bits = [];
+  for f=1:num_frames
+    codeword_bits = LdpcEncode(data_bits, code_param.H_rows, code_param.P_matrix);
+    tx_bits = [tx_bits codeword_bits];
+  end
+
+  % modulator and AWGN channel
+  tx = fsk_mod(states, tx_bits);
+  noise = sqrt(variance/2)*randn(length(tx),1) + j*sqrt(variance/2)*randn(length(tx),1);
+  rx = tx + noise;
+
+  % freq estimator and demod
+  run_frames = floor(length(rx)/N)-1;
+  st = 1; f_log = []; rx_bits = []; rx_filt = [];
+  for f=1:run_frames
+
+    % extract nin samples from input stream
+    nin = states.nin;
+    en = st + states.nin - 1;
+
+    % due to nin variations it's possible to overrun buffer
+    if en < length(rx)
+      sf = rx(st:en);
+      states = est_freq(states, sf, states.M);  states.f = states.f2;
+      [arx_bits states] = fsk_demod(states, sf);
+      rx_bits = [rx_bits arx_bits];
+      rx_filt = [rx_filt abs(states.f_int_resample)];
+      f_log = [f_log; states.f];
+      st += nin;
+    end
+  end
+
+  % count bit errors in test frames
+
+  num_frames=floor(length(rx_bits)/code_param.coded_bits_per_frame);
+  log_nerrs = []; num_frames_rx = 0; Tbits = Terrs = Tperr = Tpackets = 0;
+  uber = cber = 0.5; cper = 1;
+  for f=1:num_frames-1
+    st = (f-1)*code_param.coded_bits_per_frame + 1; en = (f+1)*code_param.coded_bits_per_frame;
+    states = ber_counter(states, codeword_bits, rx_bits(st:en));
+    log_nerrs = [log_nerrs states.nerr];
+    if states.ber_state num_frames_rx++; end
+
+    % Using sync provided by ber_counter() state machine for LDPC frame alignment
+    if states.ber_state
+      st_bit = (f-1)*code_param.coded_bits_per_frame + states.coarse_offset;
+      st_symbol = (st_bit-1)/states.bitspersymbol + 1;
+      en_symbol = st_symbol +  code_param.coded_bits_per_frame/states.bitspersymbol - 1;
+      %printf("coded_bits: %d bps: %d st_bit: %d st_symbol: %d en_symbol: %d\n",
+      %code_param.coded_bits_per_frame, states.bitspersymbol, st_bit,  st_symbol, en_symbol);
+
+      % map FSK filter outputs to LLRs, then LDPC decode (see also fsk_cml_sam.m)
+      symL = DemodFSK(1/states.v_est*rx_filt(:,st_symbol:en_symbol), states.SNRest, 1);
+      llr = -Somap(symL);
+      [x_hat, PCcnt] = MpDecode(llr, code_param.H_rows, code_param.H_cols, max_iterations=100, decoder_type=0, 1, 1);
+      Niters = sum(PCcnt~=0);
+      detected_data = x_hat(Niters,:);
+      Nerrs = sum(xor(data_bits, detected_data(1:code_param.data_bits_per_frame)));
+      Terrs += Nerrs;
+      Tbits += code_param.data_bits_per_frame;
+      if Nerrs Tperr++; end
+      Tpackets++;
+    end
+  end
+
+  if states.Terrs
+    printf("Fs: %d Rs: %d df % 3.2f EbNo: %4.2f ftx: %3d frx: %3d\n",Fs, Rs, df, EbNodB, num_frames, num_frames_rx);
+    uber = states.Terrs/states.Tbits; cber = Terrs/Tbits; cper = Tperr/Tpackets;
+    printf("  Uncoded: nbits: %6d nerrs: %6d ber: %4.3f\n", states.Tbits, states.Terrs, uber);
+    printf("  Coded..: nbits: %6d nerrs: %6d ber: %4.3f\n", Tbits, Terrs, cber);
+    printf("  Coded..: npckt: %6d perrs: %6d per: %4.3f\n", Tpackets, Tperr, cper);
+  end
+
+  if plots
+    figure(1); clf;
+    ideal=ones(length(f_log),1)*states.ftx;
+    plot((1:length(f_log)),ideal(:,1),'bk;ideal;')
+    hold on; plot((1:length(f_log)),ideal(:,2:states.M),'bk'); hold off;
+    hold on;
+    plot(f_log(:,1), 'linewidth', 2, 'b;peak;');
+    plot(f_log(:,2:states.M), 'linewidth', 2, 'b');
+    hold off;
+    xlabel('Time (frames)'); ylabel('Frequency (Hz)');
+    figure(2); clf; plot(log_nerrs); title('Errors per frame');
+  end
+
+end
+
+
+function freq_run_curve_peak_mask(HRA, num_frames=100)
+
+  EbNodB = 4:10;
+  m4fsk_ber_theory = [0.23 0.18 0.14 0.09772 0.06156 0.03395 0.01579 0.00591 0.00168 3.39E-4];
+  uber_log = []; cber_log = []; cper_log = [];
+  for ne = 1:length(EbNodB)
+    [states uber cber cper] = modem_run_test(HRA, EbNodB(ne), num_frames);
+    uber_log = [uber_log uber];  cber_log = [cber_log cber];  cper_log = [cper_log cper];
+  end
+
+  figure(1); clf;
+  EbNodB_raw = EbNodB+10*log10(states.rate)
+  semilogy(EbNodB_raw, m4fsk_ber_theory(round(EbNodB_raw+1)), 'linewidth', 2, 'bk+-;uber theory;');
+  grid; hold on;
+  semilogy(EbNodB_raw, uber_log+1E-12, 'linewidth', 2, '+-;uber;');
+  semilogy(EbNodB, cber_log+1E-12, 'linewidth', 2, 'r+-;cber;');
+  semilogy(EbNodB, cper_log+1E-12, 'linewidth', 2, 'c+-;cper;'); hold off;
+  xlabel('Eb/No (info bits, dB)'); ylabel('BER/PER'); axis([min(EbNodB_raw) max(EbNodB) 1E-4 1]);
+  title(sprintf("%dFSK rate %3.1f (%d,%d) Ncodewords=%d NCodewordBits=%d Fs=%d Rs=%d",
+                states.M, states.rate, states.coden, states.codek, num_frames, states.Tbits, states.Fs, states.Rs));
+  print("fsk_lib_ldpc.png", "-dpng")
+end
+
+% Choose simulation here ---------------------------------------------------
+
+init_cml();
+load H_256_512_4.mat; HRA=H;
+more off;
+
+% single point
+[states uber cber cper] = modem_run_test(HRA, EbNodB=8);
+if cber == 0
+  printf("PASS\n");
+end
+
+% curve
+%freq_run_curve_peak_mask(HRA, 200)
diff --git a/octave/fsk_lib_ldpc_rx.m b/octave/fsk_lib_ldpc_rx.m
new file mode 100644
index 0000000..46b964d
--- /dev/null
+++ b/octave/fsk_lib_ldpc_rx.m
@@ -0,0 +1,102 @@
+% fsk_lib_ldpc_rx.m
+%
+% LDPC coded 4FSK modem rx, reads 8 kHz 16 bit short raw file of real samples and demodulates
+
+function fsk_lib_ldpc_rx(filename, Rs=100, coderate=0.5)
+  fsk_lib_ldpc;
+  
+  % set up LDPC code
+  init_cml();
+  if coderate == 0.5
+    load H_256_512_4.mat;
+  elseif coderate == 0.75
+    load HRAa_1536_512.mat; H=HRA;
+  else
+    disp("unknown code rate");
+  end
+  [states code_param] = fsk_lib_ldpc_init (H, Rs, Fs=8000);
+  n = code_param.coded_bits_per_frame; k = code_param.data_bits_per_frame;
+
+  % known transmitted bits for BER estimation
+  rand('seed',1);
+  data_bits = round(rand(1,code_param.data_bits_per_frame));
+  codeword_bits = LdpcEncode(data_bits, code_param.H_rows, code_param.P_matrix);
+
+  frx=fopen(filename,"rb"); rx = fread(frx, Inf, "short"); fclose(frx);
+
+  % freq estimator and demod
+  run_frames = floor(length(rx)/states.N)-1;
+  st = 1; f_log = []; rx_bits = []; rx_filt = []; SNRest_log = []; rx_timing_log = [];
+  for f=1:run_frames
+
+    % extract nin samples from input stream
+    nin = states.nin;
+    en = st + states.nin - 1;
+
+    % due to nin variations it's possible to overrun buffer
+    if en < length(rx)
+      sf = rx(st:en);
+      states = est_freq(states, sf, states.M);  states.f = states.f2;
+      [arx_bits states] = fsk_demod(states, sf);
+      rx_bits = [rx_bits arx_bits];
+      rx_filt = [rx_filt abs(states.f_int_resample)];
+      f_log = [f_log; states.f];
+      SNRest_log = [SNRest_log states.SNRest];
+      rx_timing_log = [rx_timing_log states.norm_rx_timing];
+      st += nin;
+    end
+  end
+
+  % count bit errors in test frames
+  
+  num_frames=floor(length(rx_bits)/code_param.coded_bits_per_frame);
+  log_nerrs = []; num_frames_rx = 0; Tbits = Terrs = Tperr = Tpackets = 0;
+  uber = cber = 0.5; cper = 1;
+  for f=1:num_frames-1
+    st = (f-1)*code_param.coded_bits_per_frame + 1; en = (f+1)*code_param.coded_bits_per_frame;
+    states = ber_counter(states, codeword_bits, rx_bits(st:en));
+    log_nerrs = [log_nerrs states.nerr];
+    if states.ber_state num_frames_rx++; end
+
+    % Using sync provided by ber_counter() state machine for LDPC frame alignment
+    if states.ber_state
+      st_bit = (f-1)*code_param.coded_bits_per_frame + states.coarse_offset;
+      st_symbol = (st_bit-1)/states.bitspersymbol + 1;
+      en_symbol = st_symbol +  code_param.coded_bits_per_frame/states.bitspersymbol - 1;
+
+      % map FSK filter outputs to LLRs, then LDPC decode (see also fsk_cml_sam.m)
+      symL = DemodFSK(1/states.v_est*rx_filt(:,st_symbol:en_symbol), states.SNRest, 1);     
+      llr = -Somap(symL);
+      [x_hat, PCcnt] = MpDecode(llr, code_param.H_rows, code_param.H_cols, max_iterations=100, decoder_type=0, 1, 1);
+      Niters = sum(PCcnt~=0);
+      detected_data = x_hat(Niters,:);
+      Nerrs = sum(xor(data_bits, detected_data(1:code_param.data_bits_per_frame)));
+      Terrs += Nerrs; 
+      Tbits += code_param.data_bits_per_frame;
+      if Nerrs Tperr++; end
+      Tpackets++;
+    end
+  end
+
+  SNRestdB_log = 10*log10(SNRest_log);
+  if states.Tbits
+    printf("Fs: %d Rs: %d rate %4.2f (%d,%d) frames received: %3d SNRav: %4.2f\n",
+    Fs, Rs, coderate, n, k, num_frames_rx, mean(SNRestdB_log));
+    uber = states.Terrs/states.Tbits; cber = Terrs/Tbits; cper = Tperr/Tpackets;
+    printf("  Uncoded: nbits: %6d nerrs: %6d ber: %4.3f\n", states.Tbits, states.Terrs, uber);
+    printf("  Coded..: nbits: %6d nerrs: %6d ber: %4.3f\n", Tbits, Terrs, cber);
+    printf("  Coded..: npckt: %6d perrs: %6d per: %4.3f\n", Tpackets, Tperr, cper);
+  else
+    printf("No frames detected....\n");
+  end
+
+  figure(1); clf; subplot(211); plot(rx); axis([1 length(rx) -32767 32767]); subplot(212); plot_specgram(rx);
+  figure(2); clf;
+  subplot(211); plot(f_log); axis([1 length(f_log) states.fest_fmin states.fest_fmax]); ylabel('Tone Freq (Hz)');
+  subplot(212); plot(rx_timing_log); axis([1 length(rx_timing_log) -0.5 0.5]); ylabel('Timing');
+  figure(3); clf;
+  mx_SNRestdB = 5*ceil(max(SNRestdB_log)/5);
+  subplot(211); plot(SNRestdB_log); axis([1 length(SNRestdB_log) 0 mx_SNRestdB]); ylabel('SNRest (dB)');
+  subplot(212); stem(log_nerrs); ylabel('Uncoded errors');
+end
+
diff --git a/octave/fsk_lib_ldpc_tx.m b/octave/fsk_lib_ldpc_tx.m
new file mode 100644
index 0000000..408ba79
--- /dev/null
+++ b/octave/fsk_lib_ldpc_tx.m
@@ -0,0 +1,44 @@
+% fsk_lib_ldpc_tx.m
+%
+% LDPC coded 4FSK modem tx, generates a 8 kHz 16 bit short real valued sample file
+
+function fsk_lib_ldpc_tx(filename, num_frames=10, Rs=100, coderate=0.5, EbNodB=100)
+  fsk_lib_ldpc;
+  
+  % set up LDPC code
+  init_cml();
+  if coderate == 0.5
+    load H_256_512_4.mat;
+  elseif coderate == 0.75
+    load HRAa_1536_512.mat; H=HRA;
+  else
+    disp("unknown code rate");
+  end  
+  [states code_param] = fsk_lib_ldpc_init (H, Rs, Fs=8000);
+  n = code_param.coded_bits_per_frame; k = code_param.data_bits_per_frame;
+  
+  rand('seed',1);
+  data_bits = round(rand(1,code_param.data_bits_per_frame)); tx_bits = [];
+  for f=1:num_frames
+    codeword_bits = LdpcEncode(data_bits, code_param.H_rows, code_param.P_matrix);
+    tx_bits = [tx_bits codeword_bits];
+  end
+
+  tx = fsk_mod(states, tx_bits);
+
+  % set up (optional) AWGN noise
+  EcNodB = EbNodB + 10*log10(states.rate);
+  EcNo = 10^(EcNodB/10);
+  variance = states.Fs/(states.Rs*EcNo*states.bitspersymbol);
+
+  % note real noise
+  noise = sqrt(variance/2)*randn(length(tx),1);
+  rx = tx + noise;
+
+  frx=fopen(filename,"wb"); fwrite(frx, states.amp_scale*rx, "short"); fclose(frx);
+  printf("Fs: %d Rs: %d rate %4.2f (%d,%d) EbNodB: %3.1f  EcNodB: %3.1f frames transmitted: %3d\n",
+  Fs, Rs, coderate, n, k, EbNodB, EcNodB, num_frames);
+end
+
+
+
diff --git a/octave/fsk_llr_plot.m b/octave/fsk_llr_plot.m
new file mode 100644
index 0000000..f1b1a9f
--- /dev/null
+++ b/octave/fsk_llr_plot.m
@@ -0,0 +1,51 @@
+% Plot some results from FSK LLR tests 
+% Assume array "res" contains rows of simulation results:::  
+%   Eb  Ec  M  Ltype  Nbits  Nerr BERraw   
+%   (some uncoded rows might contain -1 to indicate val is not applicable)
+ 
+figure(102);   clf;  hold on;    
+
+%uncoded results
+sub = res(res(:,4)==-1 & res(:,3)==2, :) 
+semilogy(sub(:,1), sub(:,7), 'k+--')
+sub = res(res(:,4)==-1 & res(:,3)==4, :) 
+semilogy(sub(:,1), sub(:,7), 'k--')
+
+leg=[]; 
+% coded results 
+for M = [2 4 ] 
+
+if M==2, lt = '-+'; else lt='-x';   end 
+
+   sub = res(res(:,4)==1 & res(:,3)==M, :) 
+   if length(sub)>0,
+      semilogy(sub(:,1), sub(:,6)./sub(:,5), ['k' lt])
+      leg= [leg; 'Orig LLRs'];
+   end
+   
+
+sub = res(res(:,4)==2 & res(:,3)==M, :)
+if length(sub)>0,
+   semilogy(sub(:,1), sub(:,6)./sub(:,5), ['g' lt])
+   leg= [leg; ' PDF LLRs'];
+end
+   
+sub = res(res(:,4)==3 & res(:,3)==M, :)
+if length(sub)>0
+   semilogy(sub(:,1), sub(:,6)./sub(:,5), ['b' lt])
+   leg= [leg; ' HD LLRs'];    
+end
+
+sub = res(res(:,4)==4 & res(:,3)==M, :)
+semilogy(sub(:,1), sub(:,6)./sub(:,5), ['m' lt])
+leg= [leg; ' CML LLRs']; 
+endfor
+
+ylabel('BER')
+xlabel('Eb/N0 (Info Bits; dB)')
+  title('MFSK LLR test (+is 2FSK, xis 4FSK')
+  legend(leg)
+  legend('boxoff'); 
+  
+if exist('plotname'), print   -dpng plotname;  disp('saved');  end    
+
diff --git a/octave/fsk_llr_test.m b/octave/fsk_llr_test.m
new file mode 100644
index 0000000..3c21c64
--- /dev/null
+++ b/octave/fsk_llr_test.m
@@ -0,0 +1,294 @@
+% fsk_llr_test.m
+%
+% 2/4FSK simulation to develop LLR estimation algorithms for 4FSK/LDPC modems
+% Modified version of David's fsk_llr.m;   Bill 
+
+#{
+  TODO
+  The 'v' param of the Ricean pdf is the signal-only amplitude: genie value=16 
+  In practice, given varying input levels, this value needs to be estimated.
+
+  A small scaling factor seems to improve 2FSK performance -- probably the 'sig'
+  estimate can be improved.    
+
+  Only tested with short code -- try a longer one!  
+
+  Simulation should be updated to exit Eb after given Nerr reached
+
+#}
+
+ldpc;
+
+% define Rician pdf
+function y = rice(x,v,s)
+  s2 = s*s; 
+  y = (x / s2) .* exp(-0.5 * (x.^2 + v.^2)/s2) .* besseli(0, x*v/s2);
+endfunction
+
+function plot_pdf(v,s)
+  x=(0:0.1:2*v); 
+  y= rice(x, v, s); 
+  figure(201);   hold on 
+  plot(x,y,'g');
+  %title('Rician pdf: signal carrier')
+  y= rice(x, 0, s); 
+  plot(x,y,'b');
+  title('Rician pdf: signal and noise-only carriers')
+  pause(0.01); 
+endfunction 
+  
+% single Eb/No point simulation    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+function [raw_ber rx_filt rx_bits tx_symbols demapper sig_est ] = run_single(tx_bits, M, EcNodB,  plt=0)
+  % Ec/N0 is per channel bit
+  bps = log2(M);  % bits per symbol
+  Ts = 16;        % length of each symbol in samples
+
+  if length(tx_bits)==1
+     Nbits = tx_bits;  
+     tx_bits = randi(2,1,Nbits)-1;    % make random bits 
+  endif 
+
+  Nbits = length(tx_bits);
+  Nsymbols = Nbits/log2(M);
+  tx_symbols = zeros(1,Nsymbols); 
+
+  mapper = bps:-1:1;
+  % look up table demapper from symbols to bits (hard decision) 
+  demapper=zeros(M,bps);
+  for m=1:M
+    for b=1:bps
+      if  bitand(m-1,b) demapper(m,bps-b+1) = 1; end
+    end
+  end
+  
+  % continuous phase mFSK modulator
+
+  w(1:M) = 2*pi*(1:M)/Ts;
+  tx_phase = 0;
+  tx = zeros(1,Ts*Nsymbols);
+
+  for s=1:Nsymbols
+    bits_for_this_symbol = tx_bits(bps*(s-1)+1:bps*s);
+    symbol_index = bits_for_this_symbol * mapper' + 1;
+    tx_symbols(s) = symbol_index; 
+    assert(demapper(symbol_index,:) == bits_for_this_symbol);
+    for k=1:Ts
+      tx_phase += w(symbol_index);
+      tx((s-1)*Ts+k) = exp(j*tx_phase);
+    end
+  end
+
+  % AWGN channel noise
+
+  
+  EsNodB = EcNodB + 10*log10(bps)
+  EsNo = 10^(EsNodB/10);
+  variance = Ts/EsNo;
+  noise = sqrt(variance/2)*(randn(1,Nsymbols*Ts) + j*randn(1,Nsymbols*Ts));
+  rx = tx + noise;
+
+  if plt==2,    % check the Spectrum 
+    [psd,Fpsd] =pwelch(rx,128,0.5,128,Ts);
+    figure(110); plot(Fpsd,10*log10(psd));
+    title('Rx Signal:  PSD '); 
+    xlabel('Freq/Rs');
+    %figure(111);plot(unwrap(arg(tx)));
+    pause(0.01);
+  endif 
+
+
+  % integrate and dump demodulator
+
+  rx_bits = zeros(1,Nbits);
+  rx_filt = zeros(Nsymbols,M);
+  rx_pows = zeros(1,M); 
+  rx_nse_pow  = 0.0; rx_sig_pow =0.0; 
+  for s=1:Nsymbols
+    arx_symb = rx((s-1)*Ts + (1:Ts));
+    for m=1:M
+      r= sum(exp(-j*w(m)*(1:Ts)) .* arx_symb);
+      rx_pows(m)= r * conj(r); 
+      rx_filt(s,m) = abs(r);
+    end
+    [tmp symbol_index] = max(rx_filt(s,:));
+    rx_sig_pow = rx_sig_pow + rx_pows(symbol_index);
+    rx_pows(symbol_index)=[];
+    rx_nse_pow = rx_nse_pow + sum(rx_pows)/(M-1); 
+    rx_bits(bps*(s-1)+1:bps*s) = demapper(symbol_index,:);
+  end
+  % using Rxpower = v^2 + sigmal^2
+
+  rx_sig_pow = rx_sig_pow/Nsymbols; 
+  rx_nse_pow = rx_nse_pow/Nsymbols;
+  sig_est = sqrt(rx_nse_pow/2)    % for Rayleigh: 2nd raw moment = 2 .sigma^2
+  Kest = rx_sig_pow/(2.0*sig_est^2) -1.0   
+  
+  Nerrors = sum(xor(tx_bits, rx_bits));
+  raw_ber = Nerrors/Nbits;
+  printf("EcNodB: %4.1f  M: %2d Uncoded Nbits: %5d Nerrors: %4d (Raw) BER: %1.3f\n", ...
+          EcNodB, M, Nbits, Nerrors, raw_ber);
+  if plt==1, plot_hist(rx_filt,tx_symbols, M); end 
+
+endfunction
+
+
+% Plot histograms of Rx filter outputs
+function plot_hist(rx_filt,tx_symbols, M)
+   % more general version of previous fn; - plots histograms for any Tx patterns
+   Smax = 36;  
+   X = 0:Smax-1;
+   H = zeros(1,Smax);  H2 = zeros(1,Smax); s2=0.0;  
+   for m = 1:M
+     ind = tx_symbols==m;
+     ind2 =  tx_symbols~=m;
+     H= H+ hist(rx_filt(ind,m),X);
+     H2= H2+ hist(rx_filt(ind2,m),X);
+     x=rx_filt(ind2,m);
+     s2 =s2 + sum(x(:).^2)/length(x);
+   end 
+   disp('noise RMS is ');  sqrt(s2/4)
+   figure(1);  clf; plot(X,H);
+   title([num2str(M) 'FSK pdf for rx=tx symbol'])   
+   figure(2); clf;  plot(X,H2); 
+   title([num2str(M) 'FSK pdf for rx!=tx symbol'])
+   pause(0.1); 
+  
+endfunction  
+
+% 2FSK SD -> LLR mapping that we used for Wenet SSTV system
+function llr = sd_to_llr(sd, HD=0)     %    original 2FSK  + HD option  
+    sd = sd / mean(abs(sd));
+    x = sd - sign(sd);
+    sumsq = sum(x.^2);
+    summ = sum(x);
+    mn = summ/length(sd);
+    estvar = sumsq/length(sd) - mn*mn; 
+    estEsN0 = 1/(2* estvar + 1E-3); 
+    if HD==0, 
+      llr = 4 * estEsN0 * sd;
+    else 
+       llr = 4 * estEsN0 * sign(sd);
+    endif
+endfunction
+
+
+% single point LDPC encoded frame simulation, using 2FSK as a tractable starting point
+% Note: ~/cml/matCreateConstellation.m has some support for FSK - can it do 4FSK?
+
+%%%%%%%%%%%%%%%%%%%%%%%%%
+  function [Nerrors raw_ber EcNodB] = run_single_ldpc(M, Ltype, Nbits,EbNodB, plt=0)
+  
+  disp([num2str(M) 'FSK coded test ...  '])
+  if M==2 
+    bps = 1; modulation = 'FSK'; mod_order=2; mapping = 'gray'; 
+  elseif M==4 
+    bps = 2; modulation = 'FSK'; mod_order=4; mapping = 'gray';
+  else
+    error('sorry - bad value of M!');  
+  endif
+  decoder_type = 0; max_iterations = 100;
+
+  load H_256_768_22.txt
+  Krate = 1/3; 
+  EcNodB = EbNodB + 10*log10(Krate); 
+  code_param = ldpc_init_user(H_256_768_22, modulation, mod_order, mapping);
+  Nframes = floor(Nbits/code_param.data_bits_per_frame)
+  Nbits = Nframes*code_param.data_bits_per_frame
+
+  % Encoder
+  data_bits = round(rand(1,code_param.data_bits_per_frame));
+  tx_bits = [];
+  for f=1:Nframes;
+    codeword_bits = LdpcEncode(data_bits, code_param.H_rows, code_param.P_matrix);
+    tx_bits = [tx_bits codeword_bits];
+  end
+  %tx_bits = zeros(1,length(tx_bits));
+
+  % modem/channel simulation
+  [raw_ber rx_filt rx_bits tx_symbols demapper sig_est ] = run_single(tx_bits,M,EcNodB, 0 );
+
+  % Decoder
+  Nerrors = 0;
+  for f=1:Nframes
+    st = (f-1)*code_param.coded_bits_per_frame/bps + 1;
+    en = st + code_param.coded_bits_per_frame/bps - 1;
+    
+    if or(Ltype==1, Ltype==3)
+        if bps==1, 
+	  sd = rx_filt(st:en,1) - rx_filt(st:en,2);
+          %  OR ind = rx_filt(st:en,1) > rx_filt(st:en,2);
+          %     llr = ind'*2 -1;   % this works but use SNR scaling  
+          if Ltype==3, HD=1; else, HD = 0;  endif
+          llr = sd_to_llr(sd, HD)'; 
+        endif  
+        if bps==2,
+           if Ltype==3, 
+	  llr = mfsk_hd_to_llrs(rx_filt(st:en,:), demapper); 
+	   else 
+              error('Ltype =1 not provided for coded 4FSK');
+           endif 
+         endif            
+    endif
+    if Ltype==2,     % SDs are converted to LLRs 
+       v=16;
+       if plt==1, plot_pdf(v, sig_est);  endif   
+       llr = mfsk_sd_to_llrs(rx_filt(st:en,:), demapper, v, sig_est);
+    endif
+
+    [x_hat, PCcnt] = MpDecode(llr, code_param.H_rows, code_param.H_cols, ...
+                            max_iterations, decoder_type, 1, 1);      
+    Niters = sum(PCcnt!=0);
+    detected_data = x_hat(Niters,:);
+    Nerrors += sum(xor(data_bits, detected_data(1:code_param.data_bits_per_frame)));
+  endfor
+  ber = Nerrors/Nbits;
+  printf("EbNodB: %4.1f  Coded   Nbits: %5d Nerrors: %4d BER: %1.3f\n", EbNodB, Nbits, Nerrors, ber);
+endfunction
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%rand('seed',1);
+%randn('seed',1);
+format short
+more off
+init_cml();
+
+% store results in array "res" and plot afterwards
+% comment the following line if you want to retain prev sims 
+nrun = 0; clear res;   
+
+Nbits = 20000;  plt=0;    
+
+#{
+disp(' uncoded runs')
+for M=  [2 4]  
+for Eb = [6:10]
+  raw_ber = run_single(Nbits, M,  Eb, plt)    % 2fsk coded 
+   nrun = nrun+1; res(nrun,:) =  [Eb Eb M -1 Nbits -1  raw_ber]
+endfor
+endfor
+#} 
+
+disp(' coded runs '); 
+
+M=2,  
+for Ltype = [1 2 3] 		    
+for Eb = [7: 0.5: 9]
+  [Nerr raw_ber Ec] = run_single_ldpc(M, Ltype, Nbits, Eb, plt)   
+   nrun = nrun+1; res(nrun,:) =  [Eb Ec M Ltype Nbits Nerr raw_ber]
+endfor
+endfor
+
+M=4,   %v=16; 
+for Ltype = [2 3] 		    
+for Eb = [8.0 8.3 8.6 ] 
+  [Nerr raw_ber Ec] = run_single_ldpc(M, Ltype, Nbits, Eb, plt)   
+   nrun = nrun+1; res(nrun,:) =  [Eb Ec M Ltype Nbits Nerr raw_ber]
+endfor
+endfor
+
+		    
+date = datestr(now)
+save 'mfsk_test_res.mat'  res date
+
diff --git a/octave/fsk_lock_down.m b/octave/fsk_lock_down.m
new file mode 100644
index 0000000..85ac034
--- /dev/null
+++ b/octave/fsk_lock_down.m
@@ -0,0 +1,393 @@
+% fsk_lock_down.m
+% David Rowe April 2020
+%
+% tests for "Lock down" waveform, low Eb/No 4FSK
+
+fsk_lib;
+
+% "Genie" (ie perfect) timing estimate, we just want to see impact on BER from frequency est errors
+function rx_bits = simple_fsk_demod(states, rx, f)
+  M = states.M; Ts = states.Ts; Fs = states.Fs; N = states.nin;
+
+  nsymb = states.nin/states.Ts;
+  rx_filter = zeros(states.nin,M);
+  rx_symbols = zeros(nsymb,M);
+
+  % Down convert each tone. We can use any time index for down
+  % conversion as it's non-coherent
+  for m=1:M
+     phase = exp(-j*2*pi*(1:N)'*f(m)/Fs);
+     rx_filter(:,m) = rx .* phase;
+  end
+
+  % sum energy for each symbol
+  for s=1:nsymb
+    st_sym = (s-1)*Ts+1; en_sym = s*Ts;
+    for m=1:M
+      rx_symbols(s,m) = sum(rx_filter(st_sym:en_sym,m));
+    end
+  end
+
+  % map symbols back to bits
+  rx_bits = [];
+  for s=1:nsymb
+    [tone_max tone_index] = max(rx_symbols(s,:));
+    arx_bits = dec2bin(tone_index - 1, states.bitspersymbol) - '0';
+    rx_bits = [rx_bits arx_bits];
+  end
+  
+end
+
+% set up "lock down" waveform
+function [states M bits_per_frame] = lock_down_init(Rs,Fs,df,tx_tone_separation=250)
+  M  = 4;
+  states = fsk_init(Fs,Rs,M,P=8,nsym=100);
+  bits_per_frame = 512;
+  states.tx_real = 0; % complex signal
+  states.tx_tone_separation = tx_tone_separation;
+  states.ftx = -2.5*states.tx_tone_separation + states.tx_tone_separation*(1:M);
+  states.fest_fmin = -Fs/2;
+  states.fest_fmax = +Fs/2;
+  states.df = df;
+
+  % cumulative PDF, cdf(x) probability of 0....x errors in frame
+  cdf = binocdf(1:bits_per_frame, bits_per_frame, 0.3);
+  % our valid frame threshold is 50% probability, so if we get this many errors
+  % we have a 50% chance it's a valid frame
+  nerrs_valid = find(cdf>=0.5)(1);
+  % our invalid frame threshold is 99% probability, so very unlikely to
+  % get this many errors
+  nerrs_invalid =  find(cdf>=0.99)(1);
+  states.ber_valid_thresh = nerrs_valid/bits_per_frame;
+  states.ber_invalid_thresh = nerrs_invalid/bits_per_frame; 
+end
+
+% run a test at an Eb/No point, measure how many dud freq estimates using both algorithms
+function [states f_log f_log2 num_dud1 num_dud2 ber ber2] = freq_run_test(EbNodB = 10, num_frames=10, Fs=8000, Rs=100, df=0)
+  [states M bits_per_frame] = lock_down_init(Rs,Fs,df);
+  N = states.N;
+  
+  EbNo = 10^(EbNodB/10);
+  variance = states.Fs/(states.Rs*EbNo*states.bitspersymbol);
+
+  nbits = bits_per_frame*num_frames;
+  tx_bits = round(rand(1,nbits));
+  tx = fsk_mod(states, tx_bits);
+  noise = sqrt(variance/2)*randn(length(tx),1) + j*sqrt(variance/2)*randn(length(tx),1);
+  rx = tx + noise;
+  run_frames = floor(length(rx)/N)-1;
+  st = 1; f_log = []; f_log2 = []; rx_bits = []; rx_bits2 = [];
+  for f=1:run_frames
+
+    % extract nin samples from input stream
+    nin = states.nin;
+    en = st + states.nin - 1;
+
+    % due to nin variations it's possible to overrun buffer
+    if en < length(rx)
+      sf = rx(st:en);
+      states = est_freq(states, sf, states.M);
+      arx_bits = simple_fsk_demod(states, sf, states.f);
+      rx_bits = [rx_bits arx_bits];
+      arx_bits = simple_fsk_demod(states, sf, states.f2);
+      rx_bits2 = [rx_bits2 arx_bits];
+      f_log = [f_log; states.f]; f_log2 = [f_log2; states.f2];
+      st += nin;
+    end
+  end
+
+  % ignore start up transient
+  startup = 1; % TODO make this sensible/proportional so its scales across Rs
+  if num_frames > startup
+    tx_bits = tx_bits(startup*bits_per_frame:end);
+    rx_bits = rx_bits(startup*bits_per_frame:end);
+    rx_bits2 = rx_bits2(startup*bits_per_frame:end);
+  end
+  
+  % measure BER
+  nerrors = sum(xor(tx_bits(1:length(rx_bits)),rx_bits)); ber = nerrors/nbits;
+  nerrors2 = sum(xor(tx_bits(1:length(rx_bits2)),rx_bits2)); ber2 = nerrors2/nbits;
+  
+  % Lets say that for a valid freq estimate, all four tones must be within 0.1*Rs of their tx frequency
+  num_dud1 = 0; num_dud2 = 0;
+  for i=1:length(f_log)
+    if sum(abs(f_log(i,:)-states.ftx) > 0.1*states.Rs)
+      num_dud1++;
+    end
+    if sum(abs(f_log2(i,:)-states.ftx) > 0.1*states.Rs)
+      num_dud2++;
+    end
+  end
+end
+
+function freq_run_single(EbNodB = 3, num_frames = 10)
+  [states f_log f_log2 num_dud1 num_dud2 ber ber2] = freq_run_test(EbNodB, num_frames);
+  
+  percent_dud1 = 100*num_dud1/length(f_log);
+  percent_dud2 = 100*num_dud2/length(f_log);
+  printf("EbNodB: %4.2f dB tests: %3d duds1: %3d %5.2f %% duds2: %3d %5.2f %% ber1: %4.3f ber2: %4.3f\n",
+         EbNodB, length(f_log), num_dud1, percent_dud1, num_dud2, percent_dud2, ber, ber2)
+  
+  figure(1); clf;
+  ideal=ones(length(f_log),1)*states.ftx;
+  plot((1:length(f_log)),ideal(:,1),'bk;ideal;')
+  hold on; plot((1:length(f_log)),ideal(:,2:states.M),'bk'); hold off;
+  hold on;
+  plot(f_log(:,1), 'linewidth', 2, 'b;peak;');
+  plot(f_log(:,2:states.M), 'linewidth', 2, 'b');
+  plot(f_log2(:,1),'linewidth', 2, 'r;mask;');
+  plot(f_log2(:,2:states.M),'linewidth', 2, 'r');
+  hold off;
+  xlabel('Time (frames)'); ylabel('Frequency (Hz)');
+  title(sprintf("EbNo = %4.2f dB", EbNodB));
+  print("fsk_freq_est_single.png", "-dpng")
+
+  figure(2); clf;
+  errors = (f_log - states.ftx)(:);
+  ind = find(abs(errors) < 100);
+  errors2 = (f_log2 - states.ftx)(:);
+  ind2 = find(abs(errors2) < 100);
+  if length(ind)
+    subplot(211); hist(errors(ind),50)
+  end
+  if length(ind2)
+    subplot(212); hist(errors2(ind2),50)
+  end
+end
+
+
+% test peak and mask algorithms side by side
+function freq_run_curve_peak_mask
+
+   EbNodB = 0:9;
+   m4fsk_ber_theory = [0.23 0.18 0.14 0.09772 0.06156 0.03395 0.01579 0.00591 0.00168 3.39E-4];
+   percent_log = []; ber_log = [];
+   for ne = 1:length(EbNodB)
+      [states f_log f_log2 num_dud1 num_dud2 ber ber2] = freq_run_test(EbNodB(ne), 10);
+      percent_dud1 = 100*num_dud1/length(f_log);
+      percent_dud2 = 100*num_dud2/length(f_log);
+      percent_log = [percent_log; [percent_dud1 percent_dud2]];
+      ber_log = [ber_log; [ber ber2]];
+      printf("EbNodB: %4.2f dB tests: %3d duds1: %3d %5.2f %% duds2: %3d %5.2f %% ber1: %4.3f ber2: %4.3f\n",
+             EbNodB(ne), length(f_log), num_dud1, percent_dud1, num_dud2, percent_dud2, ber, ber2)
+  end
+  
+  figure(1); clf; plot(EbNodB, percent_log(:,1), 'linewidth', 2, '+-;peak;'); grid;
+  hold on;  plot(EbNodB, percent_log(:,2), 'linewidth', 2, 'r+-;mask;'); hold off;
+  xlabel('Eb/No (dB)'); ylabel('% Errors');
+  title(sprintf("Fs = %d Rs = %d df = %3.2f", states.Fs, states.Rs, states.df));
+  print("fsk_freq_est_errors.png", "-dpng")
+
+  figure(2); clf; semilogy(EbNodB, m4fsk_ber_theory, 'linewidth', 2, 'bk+-;theory;'); grid;
+  hold on;  semilogy(EbNodB, ber_log(:,1), 'linewidth', 2, '+-;peak;');
+  semilogy(EbNodB, ber_log(:,2), 'linewidth', 2, 'r+-;mask;'); hold off;
+  xlabel('Eb/No (dB)'); ylabel('BER');
+  title(sprintf("Fs = %d Rs = %d df = %3.2f", states.Fs, states.Rs, states.df));
+  print("fsk_freq_est_ber.png", "-dpng")
+end
+
+
+function freq_run_curve_mask(Fs,Rs)
+  EbNodB = 0:9;
+  m4fsk_ber_theory = [0.23 0.18 0.14 0.09772 0.06156 0.03395 0.01579 0.00591 0.00168 3.39E-4];
+  figure(1); clf; semilogy(EbNodB, m4fsk_ber_theory, 'linewidth', 2, 'bk+-;theory;'); grid;
+  xlabel('Eb/No (dB)'); ylabel('BER');
+  title(sprintf("Mask: Fs = %d Hz Rs = %d Hz", Fs, Rs));
+  hold on;
+   
+  for df=-0.01:0.01:0.01
+    ber_log = [];
+    for ne = 1:length(EbNodB)
+      [states f_log f_log2 num_dud1 num_dud2 ber ber2] = freq_run_test(EbNodB(ne), 100, Fs, Rs, df*Rs);
+      ber_log = [ber_log; [ber ber2]];
+      printf("Fs: %d Rs: %d df %3.2f EbNodB: %4.2f dB tests: %3d ber: %4.3f\n",
+             Fs, Rs, df, EbNodB(ne), length(f_log), ber2)
+    end 
+    semilogy(EbNodB, ber_log(:,2), 'linewidth', 2, sprintf("+-;df=% 3.2f Hz/s;",df*Rs));
+  end
+  hold off;
+  print(sprintf("fsk_freq_est_ber_%d_%d.png",Fs,Rs), "-dpng")
+end
+
+
+% Run a complete modem (freq and timing estimators running) at a
+% single Eb/No point.  At low Eb/No the estimators occasionally fall
+% over so we get complete junk, we consider that case a packet error
+% and exclude it from the BER estimation.
+
+function [states ber per] = modem_run_test(EbNodB = 10, num_frames=10, Fs=8000, Rs=100, df=0, plots=0, spreadHz=0,tx_tone_separation=250)
+  [states M bits_per_frame] = lock_down_init(Rs, Fs, df, tx_tone_separation);
+  N = states.N;
+  if plots; states.verbose = 0x4; end
+  EbNo = 10^(EbNodB/10);
+  variance = states.Fs/(states.Rs*EbNo*states.bitspersymbol);
+
+  nbits = bits_per_frame*num_frames;
+  test_frame = round(rand(1,bits_per_frame)); tx_bits = [];
+  for f=1:num_frames
+    tx_bits = [tx_bits test_frame];
+  end
+
+  tx = fsk_mod(states, tx_bits);
+  noise = sqrt(variance/2)*randn(length(tx),1) + j*sqrt(variance/2)*randn(length(tx),1);
+  if spreadHz
+    % just use phase part of doppler spread, not interested in amplitude fading
+    spread = doppler_spread(spreadHz, Fs, round(1.1*length(tx)));
+    spread = exp(j*arg(spread(1:length(tx))));
+    rx = tx.*rot90(spread) + noise;
+  else
+    rx = tx + noise;
+  end
+  run_frames = floor(length(rx)/N)-1;
+  st = 1; f_log = []; f_log2 = []; rx_bits = []; rx_bits2 = [];
+  for f=1:run_frames
+
+    % extract nin samples from input stream
+    nin = states.nin;
+    en = st + states.nin - 1;
+
+    % due to nin variations it's possible to overrun buffer
+    if en < length(rx)
+      sf = rx(st:en);
+      states = est_freq(states, sf, states.M);  states.f = states.f2;
+      [arx_bits states] = fsk_demod(states, sf);
+      rx_bits = [rx_bits arx_bits];
+      f_log = [f_log; states.f];
+      st += nin;
+    end
+  end
+
+  num_frames=floor(length(rx_bits)/bits_per_frame);
+  log_nerrs = []; num_frames_rx = 0;
+  for f=1:num_frames-1
+    st = (f-1)*bits_per_frame + 1; en = (f+1)*bits_per_frame;
+    states = ber_counter(states, test_frame, rx_bits(st:en));
+    log_nerrs = [log_nerrs states.nerr];
+    if states.ber_state; num_frames_rx++; end
+  end
+  if states.Terrs
+    printf("Fs: %d Rs: %d df % 3.2f sp: %2.1f EbNo: %4.2f ftx: %3d frx: %3d nbits: %4d nerrs: %3d ber: %4.3f\n",
+            Fs, Rs, df, spreadHz, EbNodB, num_frames, num_frames_rx, states.Tbits, states.Terrs, states.Terrs/states.Tbits);
+    ber = states.Terrs/states.Tbits;
+  else
+    ber = 0.5;
+  end
+
+  if plots
+    figure(1); clf;
+    ideal=ones(length(f_log),1)*states.ftx;
+    plot((1:length(f_log)),ideal(:,1),'bk;ideal;')
+    hold on; plot((1:length(f_log)),ideal(:,2:states.M),'bk'); hold off;
+    hold on;
+    plot(f_log(:,1), 'linewidth', 2, 'b;peak;');
+    plot(f_log(:,2:states.M), 'linewidth', 2, 'b');
+    hold off;
+    xlabel('Time (frames)'); ylabel('Frequency (Hz)');
+    figure(2); clf; plot(log_nerrs); title('Errors per frame');
+  end
+
+  per = 1 - num_frames_rx/num_frames;
+end
+
+
+% run BER v Eb/No curves over a range of frequency rate/change
+function modem_run_curve(Fs, Rs, num_frames=100, dfmax=0.01)
+  EbNodB = 0:9;
+  m4fsk_ber_theory = [0.23 0.18 0.14 0.09772 0.06156 0.03395 0.01579 0.00591 0.00168 3.39E-4];
+  figure(1); clf; semilogy(EbNodB, m4fsk_ber_theory, 'linewidth', 2, 'bk+-;theory;'); grid;
+  xlabel('Eb/No (dB)'); ylabel('BER');
+  title(sprintf("Mask: Fs = %d Hz Rs = %d Hz", Fs, Rs)); hold on;
+  figure(2); clf;
+  xlabel('Eb/No (dB)'); ylabel('PER'); title(sprintf("Mask: Fs = %d Hz Rs = %d Hz", Fs, Rs));
+  grid; axis([min(EbNodB) max(EbNodB) 0 1]); hold on;
+  
+  for df=-dfmax:dfmax:dfmax
+    ber_log = []; per_log = [];
+    for ne = 1:length(EbNodB)
+      [states ber per] = modem_run_test(EbNodB(ne), num_frames, Fs, Rs, df*Rs);
+      ber_log = [ber_log; ber]; per_log = [per_log; per];
+    end 
+    figure(1); semilogy(EbNodB, ber_log, 'linewidth', 2, sprintf("+-;df=% 3.2f Hz/s;",df*Rs));
+    figure(2); plot(EbNodB, per_log, 'linewidth', 2, sprintf("+-;df=% 3.2f Hz/s;",df*Rs));
+  end
+
+  figure(1); hold off; print(sprintf("fsk_modem_ber_%d_%d.png",Fs,Rs), "-dpng")
+  figure(2); hold off; print(sprintf("fsk_modem_per_%d_%d.png",Fs,Rs), "-dpng")
+end
+
+% run BER v Eb/No curve with some phase noise spreading the energy of the tones in frequency
+function modem_run_curve_spread(Fs, Rs, num_frames=100)
+  EbNodB = 0:9;
+  m4fsk_ber_theory = [0.23 0.18 0.14 0.09772 0.06156 0.03395 0.01579 0.00591 0.00168 3.39E-4];
+  figure(1); clf; semilogy(EbNodB, m4fsk_ber_theory, 'linewidth', 2, 'bk+-;theory;'); grid;
+  xlabel('Eb/No (dB)'); ylabel('BER');
+  title(sprintf("Spread: Fs = %d Hz Rs = %d Hz", Fs, Rs)); hold on;
+  figure(2); clf;
+  xlabel('Eb/No (dB)'); ylabel('PER');
+  title(sprintf("Spread: Fs = %d Hz Rs = %d Hz", Fs, Rs));
+  grid; axis([min(EbNodB) max(EbNodB) 0 1]); hold on;
+
+  spreadHz = [0.0 1 2 5];
+  for ns = 1:length(spreadHz)
+    ber_log = []; per_log = [];
+    for ne = 1:length(EbNodB)
+      [states ber per] = modem_run_test(EbNodB(ne), num_frames, Fs, Rs, 0, 0, spreadHz(ns));
+      ber_log = [ber_log; ber]; per_log = [per_log; per];
+    end 
+    figure(1); semilogy(EbNodB, ber_log, 'linewidth', 2, sprintf("+-;spread=% 3.2f Hz;",spreadHz(ns)));
+    figure(2); plot(EbNodB, per_log, 'linewidth', 2, sprintf("+-;spread=% 3.2f Hz;",spreadHz(ns)));
+  end
+  
+  figure(1); hold off; print(sprintf("fsk_modem_ber_spread_%d_%d.png",Fs,Rs), "-dpng")
+  figure(2); hold off; print(sprintf("fsk_modem_per_spread_%d_%d.png",Fs,Rs), "-dpng")
+end
+
+% study code rate versus Rs and MDS
+function code_rate_table
+  packet_duration_sec = 20;
+  k = 256;
+  noise_figure = 1;
+  bits_per_symbol = 2;
+  noise_bandwidth = 3000;
+  
+  code_rate=[1 0.8 0.5 1/3];
+  raw_ber=[2E-3 0.04 0.08 0.16];
+  EbNodB_4fsk=[8 4.5 3.5 1.5];
+
+  printf("Code Rate | Raw BER | 4FSK Eb/No | n,k | Rs | SNR | MDS |\n");
+  printf("| --- | --- | --- | --- | --- | --- | --- |\n");
+  for i=1:length(code_rate)
+    n = k/code_rate(i);
+    Rb = n/packet_duration_sec;
+    Rs = Rb/bits_per_symbol;
+    snr = EbNodB_4fsk(i) + 10*log10(Rb/noise_bandwidth);
+    mds = EbNodB_4fsk(i) + 10*log10(Rb) + noise_figure - 174; 
+    printf("%3.2f | %4.3f | %2.1f | %d,%d | %4.1f | %4.1f | %5.1f |\n",
+    code_rate(i), raw_ber(i), EbNodB_4fsk(i), n, k, Rs, snr, mds);
+  end
+end
+
+graphics_toolkit("gnuplot");
+more off;
+
+% same results every time
+rand('state',1); 
+randn('state',1);
+
+% freq estimator tests (choose one)
+#freq_run_single(3,10)
+#freq_run_curve_peak_mask
+#freq_run_curve_mask(8000,100)
+#freq_run_curve_mask(24000,25)
+#freq_run_curve_mask(8000,25)
+
+% complete modem tests (choose one)
+#modem_run_curve(24000,25,100)
+#modem_run_curve(8000,100,50,0.05)
+#modem_run_curve_spread(8000,25,50)
+#modem_run_curve(8000,100,20)
+modem_run_test(2, 20, 8000, 25, 0, 1, 0, 270);
+
+% just print a table of code rates
+#code_rate_table
+
diff --git a/octave/fsk_v_afsk.m b/octave/fsk_v_afsk.m
new file mode 100644
index 0000000..a692c18
--- /dev/null
+++ b/octave/fsk_v_afsk.m
@@ -0,0 +1,232 @@
+% fsk.m
+% David Rowe Nov 2014
+
+% Ideal non-coherent FSK and AFSK-over-analog-FM simulation. Can draw
+% Eb/No curves or run single point simulations
+
+rand('state',1); 
+randn('state',1);
+graphics_toolkit ("gnuplot");
+
+fm;
+
+function sim_out = fsk_ber_test(sim_in)
+  Fs        = 96000;
+  fmark     = sim_in.fmark;
+  fspace    = sim_in.fspace;
+  Rs        = sim_in.Rs;
+  Ts        = Fs/Rs;
+  emphasis  = 50E-6;
+  verbose   = sim_in.verbose;
+
+  nsym      = sim_in.nsym;
+  nsam      = nsym*Ts;
+  EbNodB    = sim_in.EbNodB;
+
+  fm        = sim_in.fm;
+
+  if fm
+    fm_states.pre_emp = 0;
+    fm_states.de_emp  = 0;
+    fm_states.Ts      = Ts;
+    fm_states.Fs      = Fs; 
+    fm_states.fc      = Fs/4; 
+    fm_states.fm_max  = 3E3;
+    fm_states.fd      = 5E3;
+    fm_states.output_filter = 1;
+    fm_states = analog_fm_init(fm_states);
+  end
+
+  % simulate over a range of Eb/No values
+
+  for ne = 1:length(EbNodB)
+    Nerrs = Terrs = Tbits = 0;
+
+    % randn() generates noise spread across the entire Fs bandwidth.
+    % The power (aka variance) of this noise is N = NoFs, or No =
+    % N/Fs.  The power of each bit is C=1, so the energy of each bit
+    % is Eb=1/Rs.  We want to find N as a function of Eb/No, so:
+
+    % Eb/No = (1/Rs)/(N/Fs) = Fs/(RsN)
+    %     N = Fs/(Rs(Eb/No))
+
+    aEbNodB = EbNodB(ne);
+    EbNo = 10^(aEbNodB/10);
+    variance = Fs/(Rs*EbNo);
+
+    % Modulator -------------------------------
+
+    tx_bits = round(rand(1, nsym));
+    tx = zeros(1,nsam);
+    tx_phase = 0;
+
+    for i=1:nsym
+      for k=1:Ts
+        if tx_bits(i) == 1
+          tx_phase += 2*pi*fmark/Fs;
+        else
+          tx_phase += 2*pi*fspace/Fs;
+        end
+        tx_phase = tx_phase - floor(tx_phase/(2*pi))*2*pi;
+        tx((i-1)*Ts+k) = exp(j*tx_phase);
+      end
+    end
+
+    % Optional AFSK over FM modulator
+
+    if sim_in.fm
+      % FM mod takes real input; +/- 1 for correct deviation
+      tx = analog_fm_mod(fm_states, real(tx));
+    end
+  
+    % Channel ---------------------------------
+
+    % We use complex (single sided) channel simulation, as it's convenient
+    % for the FM simulation.
+
+    noise = sqrt(variance/2)*(randn(1,nsam) + j*randn(1,nsam));
+    rx    = tx + noise;
+    if verbose > 1
+      printf("EbNo: %f Eb: %f var No: %f EbNo (meas): %f\n", 
+      EbNo, var(tx)*Ts/Fs, var(noise)/Fs, (var(tx)*Ts/Fs)/(var(noise)/Fs));
+    end
+    save fsk tx_bits rx
+
+    % Optional AFSK over FM demodulator
+
+    if sim_in.fm
+      % scaling factor for convenience to match pure FSK
+      rx_bb = 2*analog_fm_demod(fm_states, rx);
+    else
+      rx_bb = rx;
+    end
+
+    % Demodulator -----------------------------
+
+    % non-coherent FSK demod
+
+    mark_dc  = rx_bb .* exp(-j*(0:nsam-1)*2*pi*fmark/Fs);
+    space_dc = rx_bb .* exp(-j*(0:nsam-1)*2*pi*fspace/Fs);
+
+    rx_bits = zeros(1, nsym);
+    for i=1:nsym
+      st = (i-1)*Ts+1;
+      en = st+Ts-1;
+      mark_int(i)  = sum(mark_dc(st:en));
+      space_int(i) = sum(space_dc(st:en));
+      rx_bits(i) = abs(mark_int(i)) > abs(space_int(i));
+    end
+  
+    if fm
+      d = fm_states.nsym_delay;
+      error_positions = xor(rx_bits(1+d:nsym), tx_bits(1:(nsym-d)));
+    else
+      error_positions = xor(rx_bits, tx_bits);
+    end
+    Nerrs = sum(error_positions);
+    Terrs += Nerrs;
+    Tbits += length(error_positions);
+
+    TERvec(ne) = Terrs;
+    BERvec(ne) = Terrs/Tbits;
+
+    if verbose > 1
+      figure(2)
+      clf
+      Rx = 10*log10(abs(fft(rx)));
+      plot(Rx(1:Fs/2));
+      axis([1 Fs/2 0 50]);
+
+      figure(3)
+      clf;
+      subplot(211)
+      plot(real(rx_bb(1:Ts*20)))
+      subplot(212)
+      Rx_bb = 10*log10(abs(fft(rx_bb)));
+      plot(Rx_bb(1:3000));
+      axis([1 3000 0 50]);
+
+      figure(4);
+      subplot(211)
+      stem(abs(mark_int(1:100)));
+      subplot(212)
+      stem(abs(space_int(1:100)));   
+    end
+
+    if verbose
+      printf("EbNo (db): %3.2f Terrs: %d BER: %3.2f \n", aEbNodB, Terrs, Terrs/Tbits);
+    end
+  end
+
+  sim_out.TERvec = TERvec;
+  sim_out.BERvec = BERvec;
+endfunction
+
+
+function run_fsk_curves
+  sim_in.fmark     = 1200;
+  sim_in.fspace    = 2200;
+  sim_in.Rs        = 1200;
+  sim_in.nsym      = 12000;
+  sim_in.EbNodB    = 0:2:20;
+  sim_in.fm        = 0;
+  sim_in.verbose   = 1;
+
+  EbNo  = 10 .^ (sim_in.EbNodB/10);
+  fsk_theory.BERvec = 0.5*exp(-EbNo/2); % non-coherent BFSK demod
+  fsk_sim = fsk_ber_test(sim_in);
+
+  sim_in.fm  = 1;
+  fsk_fm_sim = fsk_ber_test(sim_in);
+
+  % BER v Eb/No curves
+
+  figure(1); 
+  clf;
+  semilogy(sim_in.EbNodB, fsk_theory.BERvec,'r;FSK theory;')
+  hold on;
+  semilogy(sim_in.EbNodB, fsk_sim.BERvec,'g;FSK sim;')
+  semilogy(sim_in.EbNodB, fsk_fm_sim.BERvec,'b;FSK over FM sim;')
+  hold off;
+  grid("minor");
+  axis([min(sim_in.EbNodB) max(sim_in.EbNodB) 1E-4 1])
+  legend("boxoff");
+  xlabel("Eb/No (dB)");
+  ylabel("Bit Error Rate (BER)")
+
+  % BER v C/No (1 Hz noise BW and Eb=C/Rs=1/Rs)
+  % Eb/No = (C/Rs)/(1/(N/B))
+  % C/N   = (Eb/No)*(Rs/B)
+
+  RsOnB_dB = 10*log10(sim_in.Rs/1);
+  figure(2); 
+  clf;
+  semilogy(sim_in.EbNodB+RsOnB_dB, fsk_theory.BERvec,'r;FSK theory;')
+  hold on;
+  semilogy(sim_in.EbNodB+RsOnB_dB, fsk_sim.BERvec,'g;FSK sim;')
+  semilogy(sim_in.EbNodB+RsOnB_dB, fsk_fm_sim.BERvec,'b;FSK over FM sim;')
+  hold off;
+  grid("minor");
+  axis([min(sim_in.EbNodB+RsOnB_dB) max(sim_in.EbNodB+RsOnB_dB) 1E-4 1])
+  legend("boxoff");
+  xlabel("C/No for Rs=1200 bit/s and 1 Hz noise bandwidth (dB)");
+  ylabel("Bit Error Rate (BER)")
+end
+
+function run_fsk_single
+  sim_in.fmark     = 1000;
+  sim_in.fspace    = 2000;
+  sim_in.Rs        = 1000;
+  sim_in.nsym      = 2000;
+  sim_in.EbNodB    = 7;
+  sim_in.fm        = 0;
+  sim_in.verbose   = 1;
+
+  fsk_sim = fsk_ber_test(sim_in);
+endfunction
+
+# choose one of these functions below
+
+run_fsk_curves
+#run_fsk_single
+
diff --git a/octave/fskdemodgui.py b/octave/fskdemodgui.py
new file mode 100644
index 0000000..f1a4f29
--- /dev/null
+++ b/octave/fskdemodgui.py
@@ -0,0 +1,220 @@
+#!/usr/bin/env python3
+#
+#	fsk_demod Statistics GUI
+#	Accepts the stats output from fsk_demod on stdin, and plots it.
+#
+#	Mark Jessop 2016-03-13 <[email protected]>
+#
+#	NOTE: This is intended to be run on a 'live' stream of samples, and hence expects
+#	updates at about 10Hz. Anything faster will fill up the input queue and be discarded.
+#
+#	Call using: 
+#	<producer>| ./fsk_demod --cu8 -s --stats=100 2 $SDR_RATE $BAUD_RATE - - 2> >(python fskdemodgui.py --wide) | <consumer>
+#
+#	Dependencies:
+#	* Python (written for 2.7, only tested recently on 3+)
+#	* numpy
+#	* pyqtgraph
+#	* PyQt5 (Or some Qt5 backend compatible with pyqtgraph)
+#
+#
+import sys, time, json, argparse
+from threading import Thread
+try:
+	from pyqtgraph.Qt import QtGui, QtCore
+except ImportError:
+	print("Could not import PyQt5 - is it installed?")
+	sys.exit(1)
+
+try:
+	import numpy as np
+except ImportError:
+	print("Could not import numpy - is it installed?")
+	sys.exit(1)
+
+try:
+	import pyqtgraph as pg
+except ImportError:
+	print("Could not import pyqtgraph - is it installed?")
+	sys.exit(1)
+
+try:
+    # Python 2
+    from Queue import Queue
+except ImportError:
+    # Python 3
+    from queue import Queue
+
+parser = argparse.ArgumentParser()
+parser.add_argument("--wide", action="store_true", default=False, help="Alternate wide arrangement of widgets, for placement at bottom of 4:3 screen.")
+args = parser.parse_args()
+
+# Some settings...
+update_rate = 2 # Hz
+history_size = 100 # 10 seconds at 10Hz...
+history_scale = np.linspace((-1*history_size+1)/float(update_rate),0,history_size)
+
+# Input queue
+in_queue = Queue(1) # 1-element FIFO... 
+
+win = pg.GraphicsWindow()
+win.setWindowTitle('FSK Demodulator Modem Statistics')
+
+
+# Plot objects
+ebno_plot = win.addPlot(title="Eb/No")
+ppm_plot = win.addPlot(title="Sample Clock Offset")
+if args.wide == False:
+	win.nextRow()
+else:
+	win.resize(1024,200)
+fest_plot =pg.PlotItem() # win.addPlot(title="Tone Frequency Estimation")
+eye_plot = win.addPlot(title="Eye Diagram")
+# Disable auto-ranging on eye plot and fix axes for a big speedup...
+spec_plot = win.addPlot(title="Spectrum")
+spec_plot.setYRange(0,40)
+spec_plot.setLabel('left','SNR (dB)')
+spec_plot.setLabel('bottom','FFT Bin')
+# Configure plot labels and scales.
+ebno_plot.setLabel('left','Eb/No (dB)')
+ebno_plot.setLabel('bottom','Time (seconds)')
+ebno_plot.setYRange(0,30)
+ppm_plot.setLabel('left','Clock Offset (ppm)')
+ppm_plot.setLabel('bottom','Time (seconds)')
+fest_plot.setLabel('left','Frequency (Hz)')
+fest_plot.setLabel('bottom','Time (seconds)')
+eye_plot.disableAutoRange()
+eye_plot.setYRange(0,1)
+eye_plot.setXRange(0,15)
+eye_xr = 15
+
+# Data arrays...
+ebno_data = np.zeros(history_size)
+ppm_data = np.zeros(history_size)
+fest_data = np.zeros((4,history_size))
+
+# Curve objects, so we can update them...
+spec_curve = spec_plot.plot([0])
+ebno_curve = ebno_plot.plot(x=history_scale,y=ebno_data)
+ppm_curve = ppm_plot.plot(x=history_scale,y=ppm_data)
+fest1_curve = fest_plot.plot(x=history_scale,y=fest_data[0,:],pen='r') # f1 = Red
+fest2_curve = fest_plot.plot(x=history_scale,y=fest_data[1,:],pen='g') # f2 = Blue
+fest3_curve = fest_plot.plot(x=history_scale,y=fest_data[2,:],pen='b') # f3 = Greem
+fest4_curve = fest_plot.plot(x=history_scale,y=fest_data[3,:],pen='m') # f4 = Magenta
+
+# Plot update function. Reads from queue, processes and updates plots.
+def update_plots():
+	global timeout,timeout_counter,eye_plot,ebno_curve, ppm_curve, fest1_curve, fest2_curve, ebno_data, ppm_data, fest_data, in_queue, eye_xr, spec_curve
+
+	try:
+		if in_queue.empty():
+			return
+		in_data = in_queue.get_nowait()
+		in_data = json.loads(in_data)
+	except Exception as e:
+
+		sys.stderr.write(str(e))
+		return
+
+	# Roll data arrays
+	ebno_data[:-1] = ebno_data[1:]
+	ppm_data[:-1] = ppm_data[1:]
+	fest_data = np.roll(fest_data,-1,axis=1)
+
+
+	# Try reading in the new data points from the dictionary.
+	try:
+		new_ebno = in_data['EbNodB']
+		new_ppm = in_data['ppm']
+		new_fest1 = in_data['f1_est']
+		new_fest2 = in_data['f2_est']
+		new_spec = in_data['samp_fft']
+	except Exception as e:
+		print("ERROR reading dict: %s" % e)
+
+	# Try reading in the other 2 tones.
+	try:
+		new_fest3 = in_data['f3_est']
+		new_fest4 = in_data['f4_est']
+		fest_data[2,-1] = new_fest3
+		fest_data[3,-1] = new_fest4
+	except:
+		# If we can't read these tones out of the dict, fill with NaN
+		fest_data[2,-1] = np.nan
+		fest_data[3,-1] = np.nan
+
+	# Add in new data points
+	ebno_data[-1] = new_ebno
+	ppm_data[-1] = new_ppm
+	fest_data[0,-1] = new_fest1
+	fest_data[1,-1] = new_fest2
+
+
+	# Update plots
+	spec_data_log = 20*np.log10(np.array(new_spec)+0.01)
+	spec_curve.setData(spec_data_log)
+	spec_plot.setYRange(spec_data_log.max()-50,spec_data_log.max()+10)
+	ebno_curve.setData(x=history_scale,y=ebno_data)
+	ppm_curve.setData(x=history_scale,y=ppm_data)
+	fest1_curve.setData(x=history_scale,y=fest_data[0,:],pen='r') # f1 = Red
+	fest2_curve.setData(x=history_scale,y=fest_data[1,:],pen='g') # f2 = Blue
+	fest3_curve.setData(x=history_scale,y=fest_data[2,:],pen='b') # f3 = Green
+	fest4_curve.setData(x=history_scale,y=fest_data[3,:],pen='m') # f4 = Magenta
+
+	#Now try reading in and plotting the eye diagram
+	try:
+		eye_data = np.array(in_data['eye_diagram'])
+
+		#eye_plot.disableAutoRange()
+		eye_plot.clear()
+		col_index = 0
+		for line in eye_data:
+			eye_plot.plot(line,pen=(col_index,eye_data.shape[0]))
+			col_index += 1
+		#eye_plot.autoRange()
+		
+		#Quick autoranging for x-axis to allow for differing P and Ts values
+		if eye_xr != len(eye_data[0]) - 1:
+			eye_xr = len(eye_data[0]) - 1
+			eye_plot.setXRange(0,len(eye_data[0])-1)
+			
+	except Exception as e:
+		pass
+
+
+timer = pg.QtCore.QTimer()
+timer.timeout.connect(update_plots)
+timer.start(1000/update_rate)
+
+
+# Thread to read from stdin and push into a queue to be processed.
+def read_input():
+	global in_queue
+
+	while True:
+		in_line = sys.stdin.readline()
+		if type(in_line) == bytes:
+			in_line = in_line.decode()
+
+		# Only push actual data into the queue...
+		# This stops sending heaps of empty strings into the queue when fsk_demod closes.
+		if in_line == "":
+			time.sleep(0.1)
+			continue
+
+		if not in_queue.full():
+			in_queue.put_nowait(in_line)
+
+
+read_thread = Thread(target=read_input)
+read_thread.daemon = True # Set as daemon, so when all other threads die, this one gets killed too.
+read_thread.start()
+
+## Start Qt event loop unless running in interactive mode or using pyside.
+if __name__ == '__main__':
+	import sys
+	if (sys.flags.interactive != 1) or not hasattr(QtCore, 'PYQT_VERSION'):
+		try:
+			QtGui.QApplication.instance().exec_()
+		except KeyboardInterrupt:
+			sys.exit(0)
diff --git a/octave/gen_rn_coeffs.m b/octave/gen_rn_coeffs.m
new file mode 100644
index 0000000..bfc214e
--- /dev/null
+++ b/octave/gen_rn_coeffs.m
@@ -0,0 +1,40 @@
+% gen_rn_coeffs.m
+% David Rowe 13 april 2012
+%
+% Generate root raised cosine (Root Nyquist) filter coefficients
+% thanks http://www.dsplog.com/db-install/wp-content/uploads/2008/05/raised_cosine_filter.m
+
+function coeffs = gen_rn_coeffs(alpha, T, Rs, Nsym, M)
+
+  Ts = 1/Rs;
+
+  n = -Nsym*Ts/2:T:Nsym*Ts/2;
+  Nfilter = Nsym*M;
+  Nfiltertiming = M+Nfilter+M;
+
+  sincNum = sin(pi*n/Ts); % numerator of the sinc function
+  sincDen = (pi*n/Ts);    % denominator of the sinc function
+  sincDenZero = find(abs(sincDen) < 10^-10);
+  sincOp = sincNum./sincDen;
+  sincOp(sincDenZero) = 1; % sin(pix/(pix) =1 for x =0
+
+  cosNum = cos(alpha*pi*n/Ts);
+  cosDen = (1-(2*alpha*n/Ts).^2);
+  cosDenZero = find(abs(cosDen)<10^-10);
+  cosOp = cosNum./cosDen;
+  cosOp(cosDenZero) = pi/4;
+  gt_alpha5 = sincOp.*cosOp;
+  Nfft = 4096;
+  GF_alpha5 = fft(gt_alpha5,Nfft)/M;
+
+  % sqrt causes stop band to be amplified, this hack pushes it down again
+
+  for i=1:Nfft
+    if (abs(GF_alpha5(i)) < 0.02)
+      GF_alpha5(i) *= 0.001;
+    endif
+  end
+  GF_alpha5_root = sqrt(abs(GF_alpha5)) .* exp(j*angle(GF_alpha5));
+  ifft_GF_alpha5_root = ifft(GF_alpha5_root);
+  coeffs = real((ifft_GF_alpha5_root(1:Nfilter)));
+endfunction
diff --git a/octave/gmsk.m b/octave/gmsk.m
new file mode 100644
index 0000000..a8c04a1
--- /dev/null
+++ b/octave/gmsk.m
@@ -0,0 +1,1021 @@
+% gmsk.m
+% David Rowe Dec 2014
+%
+% GMSK modem implementation and simulations to test
+
+%
+% [X] plot eye diagram
+% [X] BER curves with reas match to theoretical
+% [X] fine timing estimator
+%     [X] test with fine timing error by resampling
+% [X] phase/freq estimator
+%     + need initial acquisition and tracking
+%     [X] test with different freq offsets
+% [X] coarse timing estimator (sync up to known test frames)
+%     [X] test with different coarse timing offsets
+% [ ] file read/write interface
+%     [ ] refactor into tx/rx functions
+% [X] modify for 1200 (or any) bit/s operation
+%     + ie GMSK filter coeff generation
+%     + or just re-sampling? e.g. ratio of Fs to Rs?
+% [ ] way to measure input SNR to demod
+%     + Maybe based on test tone/carrier from the other side?
+%     + think about process ... total signal plus noise power?  Increase power until S+N doubles?
+% [X] generate curves for baseline modem and with sync algorithms
+%     [X] used coarse sync code to remove need for knowing delays
+% [X] demod level indep
+%     + scaled OK +/- 20dB same BER
+% [X] effect of DC signals from SDRs
+%     + simulated effect of general interferer at -1500Hz, at an amplitude of 4
+%       (12 dB above GMSK signal), it started to affect BER e.g. 0.007 to 0.009
+%       Line appeared about 30dB above top of GMSK signal.
+% [ ] effect of quantisation noise
+
+% Filter coeffs From:
+% https://github.com/on1arf/gmsk/blob/master/gmskmodem_codec2/API/a_dspstuff.h,
+% which is in turn from Jonathan G4KLX.  The demod coeffs low pass filter noise
+
+global gmsk_mod_coeff = [...
+ 6.455906007234699e-014, 1.037067381285011e-012, 1.444835156335346e-011,...
+1.745786683011439e-010, 1.829471305298363e-009, 1.662729407135958e-008,...
+1.310626978701910e-007, 8.959797186410516e-007, 5.312253663302771e-006,...
+2.731624380156465e-005, 1.218217140199093e-004, 4.711833994209542e-004,...
+1.580581180127418e-003, 4.598383433830095e-003, 1.160259430889949e-002,...
+2.539022692626253e-002, 4.818807833062393e-002, 7.931844341164322e-002,...
+1.132322945270602e-001, 1.401935338024111e-001, 1.505383695578516e-001,...
+1.401935338024111e-001, 1.132322945270601e-001, 7.931844341164328e-002,...
+4.818807833062393e-002, 2.539022692626253e-002, 1.160259430889949e-002,...
+4.598383433830090e-003, 1.580581180127420e-003, 4.711833994209542e-004,...
+1.218217140199093e-004, 2.731624380156465e-005, 5.312253663302753e-006,...
+8.959797186410563e-007, 1.310626978701910e-007, 1.662729407135958e-008,...
+1.829471305298363e-009, 1.745786683011426e-010, 1.444835156335356e-011,...
+1.037067381285011e-012, 6.455906007234699e-014];
+
+global gmsk_demod_coeff = [...
+-0.000153959924563, 0.000000000000000, 0.000167227768379, 0.000341615513437,...
+0.000513334449696, 0.000667493753523, 0.000783901543032, 0.000838293462576,...
+0.000805143268199, 0.000661865814384, 0.000393913058926, -0.000000000000000,...
+-0.000503471198655, -0.001079755887508, -0.001671728086040, -0.002205032425392,...
+-0.002594597675000, -0.002754194565297, -0.002608210441859, -0.002104352817854,...
+-0.001225654870420, 0.000000000000000, 0.001494548041184, 0.003130012785731,...
+0.004735238379172, 0.006109242742194, 0.007040527007323, 0.007330850462455,...
+0.006821247169795, 0.005417521811131, 0.003112202160626, -0.000000000000000,...
+-0.003715739376345, -0.007727358782391, -0.011638713107503, -0.014992029537478,...
+-0.017304097563429, -0.018108937286588, -0.017003180218569, -0.013689829477969,...
+-0.008015928769710, 0.000000000000000, 0.010154104792614, 0.022059114281395,...
+0.035162729807337, 0.048781621388364, 0.062148583345584, 0.074469032280094,...
+0.084982001723750, 0.093020219991183, 0.098063819576269, 0.099782731268437,...
+0.098063819576269, 0.093020219991183, 0.084982001723750, 0.074469032280094,...
+0.062148583345584, 0.048781621388364, 0.035162729807337, 0.022059114281395,...
+0.010154104792614, 0.000000000000000, -0.008015928769710, -0.013689829477969,...
+-0.017003180218569, -0.018108937286588, -0.017304097563429, -0.014992029537478,...
+-0.011638713107503, -0.007727358782391, -0.003715739376345, -0.000000000000000,...
+0.003112202160626, 0.005417521811131, 0.006821247169795, 0.007330850462455,...
+0.007040527007323, 0.006109242742194, 0.004735238379172, 0.003130012785731,...
+0.001494548041184, 0.000000000000000, -0.001225654870420, -0.002104352817854,...
+-0.002608210441859, -0.002754194565297, -0.002594597675000, -0.002205032425392,...
+-0.001671728086040, -0.001079755887508, -0.000503471198655, -0.000000000000000,...
+0.000393913058926, 0.000661865814384, 0.000805143268199, 0.000838293462576,...
+0.000783901543032, 0.000667493753523, 0.000513334449696, 0.000341615513437,...
+0.000167227768379, 0.000000000000000, -0.000153959924563];
+
+rand('state',1); 
+randn('state',1);
+graphics_toolkit ("gnuplot");
+fm;
+close all;
+
+%
+% Functions that implement the GMSK modem ------------------------------------------------------
+%
+
+function gmsk_states = gmsk_init(gmsk_states, Rs)
+
+  % general 
+
+  verbose = gmsk_states.verbose;
+  gmsk_states.Fs = 48000;
+  gmsk_states.Rs = Rs;
+  M = gmsk_states.M = gmsk_states.Fs/gmsk_states.Rs;
+  global gmsk_mod_coeff;
+  global gmsk_demod_coeff;
+  gmsk_states.mod_coeff = (Rs/4800)*resample(gmsk_mod_coeff, 4800, Rs);
+
+  if verbose > 1
+    figure;
+    plot(gmsk_mod_coeff,'r;original 4800;')
+    hold on;
+    plot(gmsk_states.mod_coeff,'g;interpolated;')
+    hold off;
+    title('GMSK pulse shaping filter')
+  end
+
+  % set up FM modulator
+
+  fm_states.Fs = gmsk_states.Fs;  
+  fm_states.fc = 0;  
+  fm_max = fm_states.fm_max = Rs/2;
+  fd = fm_states.fd = Rs/4;
+  fm_states.Ts = gmsk_states.M;  
+  fm_states.pre_emp = fm_states.de_emp = 0;
+  fm_states.output_filter = 1;
+  gmsk_states.fm_states = analog_fm_init(fm_states);
+
+endfunction
+
+
+function [tx tx_filt tx_symbols] = gmsk_mod(gmsk_states, tx_bits)
+  M = gmsk_states.M;
+  nsym = length(tx_bits);
+  nsam = nsym*M;
+  verbose = gmsk_states.verbose;
+
+  % NRZ sequence of symbols
+
+  tx_symbols = zeros(1,nsam);
+  for i=1:nsym
+    tx_symbols(1+(i-1)*M:i*M) = -1 + 2*tx_bits(i);
+  end
+
+  tx_filt = filter(gmsk_states.mod_coeff, 1, tx_symbols);
+  
+  if verbose > 1
+    figure;
+    clf
+    plot(tx_filt(1:M*10))
+    title('tx signal after filtering, before FM mod')
+  end
+
+  tx = analog_fm_mod(gmsk_states.fm_states, tx_filt);
+endfunction
+
+
+function [rx_bits rx_int rx_filt] = gmsk_demod(gmsk_states, rx)
+  M = gmsk_states.M;
+  Rs = gmsk_states.Rs;
+  Fs = gmsk_states.Fs;
+  nsam = length(rx);
+  nsym = floor(nsam/M);
+  global gmsk_demod_coeff;
+  wd = 2*pi*gmsk_states.fm_states.fd/gmsk_states.Fs;
+  timing_angle_log = zeros(1,length(rx));
+  rx_int = zeros(1,length(rx));
+
+  if gmsk_states.coherent_demod
+
+    % See IEEE Trans on Comms, Muroyta et al, 1981, "GSM Modulation
+    % for Digital Radio Telephony" Fig 8:
+
+    % matched filter
+
+    rx_filt = filter(gmsk_states.mod_coeff, 1, rx);
+
+    % Property of MSK that re and im arms are sequences of 2T
+    % long symbols, can be demodulated like QPSK with matched filter
+    % and integrate and dump.
+
+    % integrate energy in symbols 2T long in re and im arms
+    % note this could be combined with matched filter
+
+    rx_int = conv(rx_filt,ones(1,2*M));
+
+    % phase and fine frequency tracking and correction ------------------------
+
+    if gmsk_states.phase_track
+ 
+      % DCO design from "Introduction To Phase-Lock Loop System Modeling", Wen Li
+      % http://www.ece.ualberta.ca/~ee401/parts/data/PLLIntro.pdf
+
+      eta = 0.707;
+      wn = 2*pi*10*(Rs/4800);  % (Rs/4800) -> found reducing the BW benifical with falling Rs
+      Ts = 1/Fs;
+      g1 = 1 - exp(-2*eta*wn*Ts);
+      g2 = 1 + exp(-2*eta*wn*Ts) - 2*exp(-eta*wn*Ts)*cos(wn*Ts*sqrt(1-eta*eta));
+      Gpd = 2/pi;
+      Gvco = 1;
+      G1 = g1/(Gpd*Gvco);  G2 = g2/(Gpd*Gvco);
+      %printf("g1: %e g2: %e G1: %e G2: %e\n", g1, g2, G1, G2);
+
+      filt_prev = dco = lower = ph_err_filt = ph_err = 0;
+      dco_log = filt_log = zeros(1,nsam);
+
+      % w is the ref sine wave at the timing clock frequency
+      % tw is the length of the window used to estimate timing
+
+      k = 1;
+      tw = 200*M;
+      xr_log = []; xi_log = [];
+      w_log = [];
+      timing_clock_phase = 0;
+      timing_angle = 0;
+      timing_angle_log = zeros(1,nsam);
+
+      for i=1:nsam
+
+        % update sample timing estimate every tw samples
+
+        if mod(i,tw) == 0
+          l = i - tw+1;
+          xr = abs(real(rx_int(l:l+tw-1)));
+          xi = abs(imag(rx_int(l:l+tw-1)));
+          w = exp(j*(l:l+tw-1)*2*pi*(Rs/2)/Fs);
+          X = xr * w';
+          timing_clock_phase = timing_angle = angle(X);
+          k++;
+          xr_log = [xr_log xr];
+          xi_log = [xi_log xi];
+          w_log = [w_log w];
+        else
+          timing_clock_phase += (2*pi)/(2*M);
+        end
+        timing_angle_log(i) = timing_angle;
+
+        rx_int(i) *= exp(-j*dco);
+        ph_err = sign(real(rx_int(i))*imag(rx_int(i)))*cos(timing_clock_phase);
+        lower = ph_err*G2 + lower;
+        filt  = ph_err*G1 + lower;
+        dco   = dco + filt;
+        filt_log(i) = filt;
+        dco_log(i) = dco;
+      end
+      
+      figure;
+      clf
+      subplot(211);
+      plot(filt_log);
+      title('PLL filter')
+      subplot(212);
+      plot(dco_log/pi);
+      title('PLL DCO phase');
+      %axis([1 nsam -0.5 0.5])
+    end
+
+    % sample integrator output at correct timing instant
+    
+    timing_adj = timing_angle_log*2*M/(2*pi);
+    timing_adj_uw = unwrap(timing_angle_log)*2*M/(2*pi);
+    % Toff = floor(2*M+timing_adj);
+    Toff = floor(timing_adj_uw+0.5);
+    k = 1;
+    re_syms = im_syms = zeros(1,nsym/2);
+  
+    for i=2*M:2*M:nsam
+      if (i-Toff(i)+M) < nsam
+        re_syms(k) = real(rx_int(i-Toff(i)));
+        im_syms(k) = imag(rx_int(i-Toff(i)+M));
+      end
+      %re_syms(k) = real(rx_int(i-10));
+      %im_syms(k) = imag(rx_int(i+M-10));
+      k++;
+    end
+
+    figure
+    subplot(211)
+    stem(re_syms)
+    subplot(211)
+    stem(im_syms)
+    
+    figure;
+    clf
+    subplot(211)
+    plot(timing_adj);
+    title('Timing est');
+    subplot(212)
+    plot(Toff);
+    title('Timing est unwrap');
+
+    % XORs/adders on the RHS of Muroyta et al Fig 8 (a) and (b).  We
+    % simulate digital logic bit stream at clock rate Rs, even though
+    % we sample integrators at rate Rs/2.  I can't explain how and why
+    % this logic works/is required.  I think it can be worked out from
+    % comparing to MSK/OQPSK demod designs.
+
+    l = length(re_syms);
+    l2 = 2*l;
+    re_bits = zeros(1,l2);
+    im_bits = zeros(1,l2);
+    clk_bits = zeros(1,l2);
+    for i=1:l-1
+      re_bits(2*(i-1)+1)  = re_syms(i) > 0;
+      re_bits(2*(i-1)+2)  = re_syms(i) > 0;
+      im_bits(2*(i-1)+2)  = im_syms(i) > 0;
+      im_bits(2*(i-1)+3)  = im_syms(i) > 0;
+      clk_bits(2*(i-1)+1) = 0;
+      clk_bits(2*(i-1)+2) = 1;
+    end
+
+    rx_bits = bitxor(bitxor(re_bits,im_bits),  clk_bits);
+    rx_bits = rx_bits(2:length(rx_bits)-1);
+  else
+    % non-coherent demod
+
+    % filter to get rid of most of noise before FM demod, but doesn't
+    % introduce any ISI
+
+    fc = Rs/(Fs/2);
+    bin  = firls(200,[0 fc*(1-0.05) fc*(1+0.05) 1],[1 1 0.01 0.01]);
+    rx_filt = filter(bin, 1, rx);
+
+    % FM demod
+
+    rx_diff = [ 1 rx_filt(2:nsam) .* conj(rx_filt(1:nsam-1))];
+    rx_filt = (1/wd)*atan2(imag(rx_diff),real(rx_diff));
+
+    % low pass filter, trade off between ISI and removing noise
+
+    rx_filt = filter(gmsk_demod_coeff, 1, rx_filt);  
+    Toff = 7;
+    rx_bits = real(rx_filt(1+Toff:M:length(rx_filt)) > 0);
+
+   end
+
+endfunction
+
+
+% Initial frequency offset estimation. Look for line a centre
+% frequency, which is the strongest component when ...101010... is
+% used to modulate the GMSK signal.  Note just searching for a single
+% line will get false lock on random sine waves but that's OK for a
+% PoC.  It could be improved by checking for other lines, or
+% demodulating the preamble and checking for bit errors.
+  
+function [freq_offset_est ratio] = gmsk_est_freq_offset(gmsk_states, rx, verbose)
+  Fs = gmsk_states.Fs;
+  Rs = gmsk_states.Rs;
+
+  % Suggest Rs/10 symbols of preamble (100ms), this works OK at
+  % Rs=4800 and Es/No = 6dB.  The large, Fs sample FFT size is used
+  % for convenience (the bin resolution is 1 Hz), for real time we
+  % would decimate and use smaller FFT to save CPU and memory.
+  
+  ndft = Fs;
+  f = fft(rx .* hanning(length(rx))', ndft);
+  f = fftshift(f);
+
+  start_bin = 1 + Fs/2-Rs/4; 
+  stop_bin = start_bin + Rs/2;
+  [max_val max_bin] = max(abs(f(start_bin:stop_bin)));
+  
+  max_bin -= Rs/4 + 1;
+  if verbose > 1
+    printf("ndft: %d start_bin: %d stop_bin: %d max_bin: %d\n", ndft, start_bin, stop_bin, max_bin);
+  end
+
+  % calc ratio of line energy to total energy.  For a valid preamble
+  % this was measured as about 0.20 to 0.25 depending on noise.
+
+  sum_sq = sum(abs(f(start_bin:stop_bin)) .^ 2);
+  ratio = sqrt(max_val*max_val/sum_sq);
+
+  % map max_bin to frequency offset
+
+  freq_offset_est = max_bin;  
+
+  if verbose > 1
+    printf("freq_offset_est: %f  pk/rms ratio: %f \n", freq_offset_est, ratio);
+    figure;
+    clf
+    subplot(211)
+    plot(rx,'+')
+    title('rx signal on complex plane')
+    subplot(212)
+    plot(-Rs/4:Rs/4, 20*log10(abs(f(start_bin:stop_bin))));
+    axis([-Rs/4 Rs/4 0 80]);
+    title('spectrum of rx signal');
+  end
+
+endfunction
+
+%
+%  Functions for Testing the GMSK modem --------------------------------------------------------
+%
+
+function sim_out = gmsk_test(sim_in)
+  nsym =  sim_in.nsym;
+  EbNodB = sim_in.EbNodB;
+  verbose = sim_in.verbose;
+  Rs = 4800;
+
+  gmsk_states.verbose = verbose;
+  gmsk_states.coherent_demod = sim_in.coherent_demod;
+  gmsk_states.phase_track = 0;
+  gmsk_states = gmsk_init(gmsk_states, Rs);
+  M = gmsk_states.M;
+  Fs = gmsk_states.Fs;
+  Rs = gmsk_states.Rs;
+  Bfm = gmsk_states.fm_states.Bfm;
+ 
+  for ne = 1:length(EbNodB)
+    aEbNodB = EbNodB(ne);
+    EbNo = 10^(aEbNodB/10);
+    variance = Fs/(Rs*EbNo);
+
+    tx_bits = round(rand(1, nsym));
+    %tx_bits = ones(1, nsym);
+    %tx_bits = zeros(1, nsym);
+    %tx_bits(1:2:nsym) = 0;
+    [tx tx_filt tx_symbols] = gmsk_mod(gmsk_states, tx_bits);
+    nsam = length(tx);
+    
+    noise = sqrt(variance/2)*(randn(1,nsam) + j*randn(1,nsam));
+    rx    = tx*exp(j*pi/2) + noise;
+
+    [rx_bits rx_out rx_filt] = gmsk_demod(gmsk_states, rx(1:length(rx)));
+
+    % search for frame location over a range
+
+    Nerrs_min = nsym; Nbits_min = nsym; l = length(rx_bits);
+    for i=1:100;
+      Nerrs = sum(xor(rx_bits(i:l), tx_bits(1:l-i+1)));
+      if Nerrs < Nerrs_min
+        Nerrs_min = Nerrs;
+        Nbits_min = l;
+      end
+    end
+ 
+    TERvec(ne) = Nerrs_min;
+    BERvec(ne) = Nerrs_min/Nbits_min;
+    
+    if verbose > 0
+      printf("EbNo dB: %3.1f Nerrs: %d BER: %f BER Theory: %f\n", aEbNodB, Nerrs_min, BERvec(ne), 0.5*erfc(sqrt(0.75*EbNo)));
+    end
+
+    if verbose > 1
+
+      if gmsk_states.coherent_demod == 0
+        Toff = 0; dsam = M*30;
+        figure;
+        clf
+        eyesyms = 2;
+        plot(rx_filt(dsam+1+Toff:dsam+eyesyms*M+Toff))
+        hold on;
+        for i=1:10
+          st = dsam+1+Toff+i*eyesyms*M;
+          en = st + eyesyms*M;
+          plot(rx_filt(st:en))
+        end
+        hold off;
+        %axis([dsam dsam+eyesyms*M -2 2]);
+        title('Eye Diagram');
+      else
+        figure;
+        nplot = 16;
+        clf;
+        subplot(211)
+        plot(real(rx_filt(1:nplot*M)))
+        axis([1 nplot*M -1 1])
+        title('Matched Filter');
+        subplot(212)
+        plot(imag(rx_filt(1:nplot*M)))
+        axis([1 nplot*M -1 1])
+
+        figure;
+        nplot = 16;
+        clf;
+        subplot(211)
+        plot(real(rx_out(1:nplot*M))/(2*M))
+        title('Integrator');
+        axis([1 nplot*M -1 1])
+        subplot(212)
+        plot(imag(rx_out(1:nplot*M)/(2*M)))
+        axis([1 nplot*M -1 1])
+     end
+
+      figure;
+      clf
+      subplot(211)
+      stem(tx_bits(1:20))
+      title('Tx Bits')
+      subplot(212)
+      stem(rx_bits(1:20))
+      title('Rx Bits')
+
+      figure;
+      clf
+      subplot(211);
+      f = fft(rx);
+      Tx = 20*log10(abs(f));
+      plot(Tx)
+      grid;
+      title('GMSK Demodulator Input Spectrum');
+      axis([1 5000 0 80])
+
+      subplot(212)
+      f = fft(tx);
+      f = f(1:length(f)/2);
+      cs = cumsum(abs(f).^2);
+      plot(cs)
+      hold on;
+      x = 0.99;
+      tots = x*sum(abs(f).^2);
+      xpercent_pwr = find(cs > tots);
+      bw = 2*xpercent_pwr(1);
+      plot([1 Fs/2],[tots tots],'r')
+      plot([bw/2 bw/2],[0 tots],'r')
+      hold off;  
+      title("Cumulative Power");
+      grid;
+      axis([1 5000 0 max(cs)])
+
+      printf("Bfm: %4.0fHz %3.0f%% power bandwidth %4.0fHz = %3.2f*Rb\n", Bfm, x*100, bw, bw/Rs);
+
+    end
+  end
+
+  sim_out.TERvec = TERvec;
+  sim_out.BERvec = BERvec;
+  sim_out.Rs = gmsk_states.Rs;
+endfunction
+
+
+function run_gmsk_single
+  sim_in.coherent_demod = 0;
+  sim_in.nsym = 4800;
+  sim_in.EbNodB = 10;
+  sim_in.verbose = 2;
+
+  sim_out = gmsk_test(sim_in);
+endfunction
+
+
+% Generate a bunch of BER versus Eb/No curves for various demods
+
+function run_gmsk_curves
+  sim_in.coherent_demod = 1;
+  sim_in.nsym = 48000;
+  sim_in.EbNodB = 2:10;
+  sim_in.verbose = 1;
+
+  gmsk_coh = gmsk_test(sim_in);
+
+  sim_in.coherent_demod = 0;
+  gmsk_noncoh = gmsk_test(sim_in);
+
+  Rs = gmsk_coh.Rs;
+  EbNo  = 10 .^ (sim_in.EbNodB/10);
+  alpha = 0.75; % guess for BT=0.5 GMSK
+  gmsk_theory.BERvec = 0.5*erfc(sqrt(alpha*EbNo));
+
+  % BER v Eb/No curves
+
+  figure;
+  clf;
+  semilogy(sim_in.EbNodB, gmsk_theory.BERvec,'r;GMSK theory;')
+  hold on;
+  semilogy(sim_in.EbNodB, gmsk_coh.BERvec,'g;GMSK sim coherent;')
+  semilogy(sim_in.EbNodB, gmsk_noncoh.BERvec,'b;GMSK sim non-coherent;')
+  hold off;
+  grid("minor");
+  axis([min(sim_in.EbNodB) max(sim_in.EbNodB) 1E-4 1])
+  legend("boxoff");
+  xlabel("Eb/No (dB)");
+  ylabel("Bit Error Rate (BER)")
+
+  % BER v C/No (1 Hz noise BW and Eb=C/Rs=1/Rs)
+  % Eb/No = (C/Rs)/(1/(N/B))
+  % C/N   = (Eb/No)*(Rs/B)
+
+  RsOnB_dB = 10*log10(Rs/1);
+  figure;
+  clf;
+  semilogy(sim_in.EbNodB+RsOnB_dB, gmsk_theory.BERvec,'r;GMSK theory;')
+  hold on;
+  semilogy(sim_in.EbNodB+RsOnB_dB, gmsk_coh.BERvec,'g;GMSK sim coherent;')
+  semilogy(sim_in.EbNodB+RsOnB_dB, gmsk_noncoh.BERvec,'b;GMSK sim non-coherent;')
+  hold off;
+  grid("minor");
+  axis([min(sim_in.EbNodB+RsOnB_dB) max(sim_in.EbNodB+RsOnB_dB) 1E-4 1])
+  legend("boxoff");
+  xlabel("C/No for Rs=4800 bit/s and 1 Hz noise bandwidth (dB)");
+  ylabel("Bit Error Rate (BER)")
+
+endfunction
+
+
+function [preamble_location freq_offset_est] = find_preamble(gmsk_states, M, npreamble, rx)
+  verbose = gmsk_states.verbose;
+
+  % look through rx buffer and determine if there is a valid preamble.  Use steps of half the
+  % preamble size in samples to try to bracket the pre-amble.
+
+  preamble_step = npreamble*M/2;
+  ratio = 0; freq_offset_est = 0; preamble_location = 0;
+  ratio_log = [];
+  for i=1:preamble_step:length(rx)-preamble_step
+    [afreq_offset_est aratio] = gmsk_est_freq_offset(gmsk_states, rx(i:i+preamble_step-1), verbose);
+    ratio_log = [ratio_log aratio];
+    if aratio > ratio
+      preamble_location = i;
+      ratio = aratio;
+      freq_offset_est = afreq_offset_est;
+    end
+  end
+  if verbose
+    printf("preamble location: %2.1f seconds est f_off: %5.1f Hz ratio: %3.2f\n", 
+    preamble_location/gmsk_states.Fs, freq_offset_est, ratio);   
+    figure;
+    plot(ratio_log);
+    title('Preamble ratio');
+  end
+endfunction
+
+
+% attempt to perform "coarse sync" sync with the received frames, we
+% check each frame for the best coarse sync position.  Brute force
+% approach, that would be changed for a real demod which has some
+% sort of unique word.  Start looking for valid frames 1 frame
+% after start of pre-amble to give PLL time to lock
+
+function [total_errors total_bits Nerrs_log Nerrs_all_log errors_log] = coarse_sync_ber(nframes_rx, tx_frame, rx_bits)
+
+  Nerrs_log = zeros(1, nframes_rx);
+  Nerrs_all_log = zeros(1, nframes_rx);
+  total_errors = 0;
+  total_bits   = 0;
+  framesize = length(tx_frame);
+  errors_log = [];
+
+  for f=2:nframes_rx-1
+    Nerrs_min = framesize;
+    for i=1:framesize;
+      st = (f-1)*framesize+i; en = st+framesize-1;
+      errors = xor(rx_bits(st:en), tx_frame); 
+      Nerrs = sum(errors);
+      if Nerrs < Nerrs_min
+        Nerrs_min = Nerrs;
+        errors_min = errors;
+      end
+    end
+    Nerrs_all_log(f) = Nerrs_min;
+    if Nerrs_min/framesize < 0.1
+      errors_log = [errors_log errors_min];
+      Nerrs_log(f) = Nerrs_min;
+      total_errors += Nerrs_min;
+      total_bits   += framesize;
+    end
+  end
+endfunction
+
+function plot_spectrum(gmsk_states, rx, preamble_location, title_str)
+  Fs = gmsk_states.Fs;
+  st = preamble_location + gmsk_states.npreamble*gmsk_states.M;
+  sig = rx(st:st+Fs*0.5);
+  h = hanning(length(sig))';
+  Rx=20*log10(abs(fftshift(fft(sig .* h, Fs))));
+  figure;
+  plot(-Fs/2:Fs/2-1,Rx);
+  grid("minor");
+  xlabel('Hz');
+  ylabel('dB');
+  topy = ceil(max(Rx)/10)*10;
+  axis([-4000 4000 topy-50 topy+10])
+  title(title_str);
+endfunction
+
+% Give the demod a hard time: frequency, phase, time offsets, sample clock difference
+   
+function run_test_channel_impairments
+  Rs = 1200;
+  verbose = 1;
+  aEbNodB = 6;
+  phase_offset = pi/2;
+  freq_offset  = -104;
+  timing_offset = 100E3;
+  sample_clock_offset_ppm = -500;
+  interferer_freq = -1500;
+  interferer_amp  = 0;
+  nsym = 4800*2;
+  npreamble = 480;
+
+  gmsk_states.npreamble = npreamble;
+  gmsk_states.verbose = verbose;
+  gmsk_states.coherent_demod = 1;
+  gmsk_states.phase_track    = 1;
+  gmsk_states = gmsk_init(gmsk_states, Rs);
+  Fs = gmsk_states.Fs;
+  Rs = gmsk_states.Rs;
+  M  = gmsk_states.M;
+
+  % A frame consists of nsym random data bits.  Some experimentation
+  % has shown they must be random-ish data (not say 11001100...) for
+  % timing estimator to work.  However initial freq offset estimation
+  % is a lot easier with a 01010 type sequence, so we construct a 
+  % frame with a pre-amble followed by frames of random data.
+
+  framesize = 480;
+  nframes = floor(nsym/framesize);
+  tx_frame = round(rand(1, framesize));
+  tx_bits = zeros(1,npreamble);
+  tx_bits(1:2:npreamble) = 1;
+  for i=1:nframes
+    tx_bits = [tx_bits tx_frame];
+  end
+
+  [tx tx_filt tx_symbols] = gmsk_mod(gmsk_states, tx_bits);
+
+  tx = resample(tx, 1E6, 1E6-sample_clock_offset_ppm);
+  tx = [zeros(1,timing_offset) tx];
+  nsam = length(tx);
+
+  if verbose > 1
+    figure;
+    subplot(211)
+    st = timing_offset; en = st+M*10;
+    plot(real(tx(st:en)))
+    title('Real part of tx');
+    subplot(212)
+    plot(imag(tx(st:en)))
+    title('Imag part of tx');
+  end
+
+  EbNo = 10^(aEbNodB/10);
+  variance = Fs/(Rs*EbNo);
+  noise = sqrt(variance/2)*(randn(1,nsam) + j*randn(1,nsam));
+  w  = (0:nsam-1)*2*pi*freq_offset/Fs + phase_offset;
+  interferer = interferer_amp*exp(j*interferer_freq*(2*pi/Fs)*(0:nsam-1));
+
+  rx = sqrt(2)*tx.*exp(j*w) + noise + interferer;
+  
+  % optional dump to file
+
+  if 1
+    fc = 1500; gain = 10000;
+    wc = 2*pi*fc/Fs;
+    w1 = exp(j*wc*(1:nsam));
+    rx1 = gain*real(rx .* w1);
+    fout = fopen("rx_6dB.raw","wb");
+    fwrite(fout, rx1, "short");
+    fclose(fout);
+  end
+
+  rx = rx1 .* conj(w1);
+
+  [preamble_location freq_offset_est] = find_preamble(gmsk_states, M, npreamble, rx);
+  w_est  = (0:nsam-1)*2*pi*freq_offset_est/Fs;
+  rx = rx.*exp(-j*w_est);
+
+  plot_spectrum(gmsk_states, rx, preamble_location, "GMSK rx just after preamble");
+
+  % printf("ntx: %d nrx: %d ntx_bits: %d\n", length(tx), length(rx), length(tx_bits));
+
+  [rx_bits rx_out rx_filt] = gmsk_demod(gmsk_states, rx(preamble_location+framesize:nsam));
+  nframes_rx = length(rx_bits)/framesize;
+
+  % printf("ntx: %d nrx: %d ntx_bits: %d nrx_bits: %d\n", length(tx), length(rx), length(tx_bits), length(rx_bits));
+
+  [total_errors total_bits Nerrs_log Nerrs_all_log] = coarse_sync_ber(nframes_rx, tx_frame, rx_bits);
+
+  ber = total_errors/total_bits;
+
+  printf("Eb/No: %3.1f f_off: %4.1f ph_off: %4.3f Nframes: %d Nbits: %d Nerrs: %d BER: %f\n", 
+         aEbNodB, freq_offset, phase_offset, nframes_rx, total_bits, total_errors, ber);
+
+  figure;
+  clf
+  subplot(211)
+  plot(Nerrs_log,'r;errors/frame counted for BER;');
+  hold on;
+  plot(Nerrs_all_log,'g;all errors/frame;');
+  hold off;
+  legend("boxoff");
+  title('Bit Errors')
+  subplot(212)
+  stem(real(cumsum(Nerrs_log)))
+  title('Cumulative Bit Errors')
+
+endfunction
+    
+
+% Generates a Fs=48kHz raw file of 16 bit samples centred on 1500Hz,
+% Suitable for transmitting with a SSB tx
+
+function gmsk_tx(tx_file_name)
+  rand('state',1); 
+  Rs = 1200;
+  nsym =  Rs*4;
+  framesize = 480;
+  npreamble = 480;
+  gain      = 10000;
+  fc        = 1500;
+
+  gmsk_states.verbose = 0;
+  gmsk_states.coherent_demod = 1;
+  gmsk_states.phase_track    = 1;
+  gmsk_states = gmsk_init(gmsk_states, Rs);
+  Fs = gmsk_states.Fs;
+  Rs = gmsk_states.Rs;
+  M  = gmsk_states.M;
+
+  % generate frame with preamble
+
+  nframes = floor(nsym/framesize)
+  tx_frame = round(rand(1, framesize));
+  tx_bits = zeros(1,npreamble);
+  tx_bits(1:2:npreamble) = 1;
+  for i=1:nframes
+    tx_bits = [tx_bits tx_frame];
+  end
+  
+  [tx tx_filt tx_symbols] = gmsk_mod(gmsk_states, tx_bits);
+  nsam = length(tx);
+
+  wc = 2*pi*fc/Fs;
+  w = exp(j*wc*(1:nsam));
+  tx = gain*real(tx .* w);
+  figure;
+  plot(tx(1:4000))
+  fout = fopen(tx_file_name,"wb");
+  fwrite(fout, tx, "short");
+  fclose(fout);
+
+endfunction
+
+
+% Reads a file of Fs=48kHz 16 bit samples centred on 1500Hz, and
+% measures the BER.
+
+function gmsk_rx(rx_file_name, err_file_name)
+  rand('state',1); 
+
+  Rs = 1200;
+  framesize = 480;
+  npreamble = 480;
+  fc        = 1500;
+
+  gmsk_states.npreamble = npreamble;
+  gmsk_states.verbose = 1;
+  gmsk_states.coherent_demod = 1;
+  gmsk_states.phase_track    = 1;
+  gmsk_states = gmsk_init(gmsk_states, Rs);
+  Fs = gmsk_states.Fs;
+  Rs = gmsk_states.Rs;
+  M  = gmsk_states.M;
+
+  tx_frame = round(rand(1, framesize));
+
+  % get real signal at fc offset and convert to baseband complex
+  % signal
+  
+  fin = fopen(rx_file_name,"rb");
+  rx = fread(fin,"short")';
+  fclose(fin);
+  rx = filter([1 -0.999],[1 -0.99],rx);
+  nsam = length(rx);
+  wc = 2*pi*fc/Fs;
+  w = exp(-j*wc*(1:nsam));
+  rxbb = rx .* w;
+ 
+  figure;
+  plot(rx);
+
+  % find preamble
+
+  [preamble_location freq_offset_est] = find_preamble(gmsk_states, M, npreamble, rxbb);
+
+  % power of signal, averaged over window
+  % TODO: remove wave file header, scale of actual level
+  %       filter so we measure only energy in our passband
+  %       work out noise BW of filter.  Use GMSK filter?
+
+  [b a] = cheby2(6,40,[200 3000]/(Fs/2));
+  %bpwr_lp  = fir2([200,4000/(Fs/2));
+  noise_bw = var(filter(b,a,randn(1,1E6)));
+
+  rx_filt = filter(b, a, rx(1000:length(rx)));
+  npower_window = 200*M;
+  rx_power = conv(rx_filt.^2,ones(1,npower_window))/(npower_window);
+  rx_power_dB = 10*log10(rx_power);
+  figure;
+  subplot(211)
+  plot(rx_filt(1000:length(rx_filt)));
+  title('GMSK Power (narrow filter)');
+  subplot(212)
+  plot(rx_power_dB);
+  axis([1 length(rx_power) max(rx_power_dB)-29 max(rx_power_dB)+1])
+  grid("minor")
+
+  % Work out where to sample N, and S+N
+
+  noise_end = preamble_location - 2*npreamble*M;
+  noise_start = noise_end - Fs;
+  if noise_start < 1
+    printf("Hmm, we really need >1 second of noise only before preamble to measure noise!\n");
+  else
+    noise = mean(rx_power_dB(noise_start:noise_end));
+    signal_noise_start = preamble_location + 2*npreamble*M;
+    signal_noise_end = signal_noise_start + Fs;
+    signal_noise = mean(rx_power_dB(signal_noise_start:signal_noise_end));
+    hold on;
+    plot([noise_start noise_end],[noise noise],'color','r','linewidth',5);
+    plot([signal_noise_start signal_noise_end],[signal_noise signal_noise],'color','r','linewidth',5);
+
+    % determine SNR
+  
+    noise_lin = 10 ^ (noise/10);
+    signal_noise_lin = 10 ^ (signal_noise/10);
+    signal_lin = signal_noise_lin - noise_lin;
+    signal = 10*log10(signal_lin);
+    snr = signal - noise;
+    fudge_factor = 3;                           % 3dB for single/double sided noise adjustment?  Just a guess
+    CNo = snr + 10*log10(Fs*noise_bw) - fudge_factor;
+    EbNo = CNo - 10*log10(Rs);  
+
+    EbNo_lin  = 10 .^ (EbNo/10);
+    alpha = 0.75;                             % guess for BT=0.5 GMSK
+    ber_theory = 0.5*erfc(sqrt(alpha*EbNo_lin));
+
+    printf("Estimated S: %3.1f N: %3.1f Nbw: %4.0f Hz SNR: %3.1f CNo: %3.1f EbNo: %3.1f BER theory: %f\n",
+           signal, noise, Fs*noise_bw, snr, CNo, EbNo, ber_theory);
+
+  % FM signal is centred on 12 kHz and 16 kHz wide so lets also work out noise there
+
+  [b a] = cheby2(6,40,[12000-8000 12000+8000]/(Fs/2));
+  noise_bw_fm = var(filter(b,a,randn(1,1E6)));
+
+  rx_filt_fm = filter(b, a, rx(1000:length(rx)));
+  rx_power_fm = conv(rx_filt_fm.^2,ones(1,npower_window))/(npower_window);
+  rx_power_dB_fm = 10*log10(rx_power_fm);
+  
+  noise = mean(rx_power_dB_fm(noise_start:noise_end))*ones(1, length(rx_power_fm));
+  noise_lin = 10 .^ (noise/10);
+
+  signal_lin = rx_power_fm - noise_lin;
+  signal = 10*log10(abs(signal_lin) + 1E-6);
+  snr = signal - noise;
+
+  CNo = snr + 10*log10(Fs*noise_bw_fm) - fudge_factor;
+
+  figure
+  plot(rx_power_dB_fm,'r;signal plus noise;');
+  hold on;
+  plot(CNo,'g;C/No;');
+  hold off;
+  top_fm = ceil(max(CNo)/10)*10;
+  axis([1 length(rx_power_dB_fm) 20 top_fm])
+  grid("minor")
+  legend("boxoff");
+  title('FM C/No');
+  end
+
+  % spectrum of a chunk of GMSK signal just after preamble
+
+  plot_spectrum(gmsk_states, rx, preamble_location, "GMSK rx just after preamble");
+
+  % correct freq offset and demodulate
+
+  w_est  = (0:nsam-1)*2*pi*freq_offset_est/Fs;
+  rxbb = rxbb.*exp(-j*w_est);
+  st = preamble_location+npreamble*M; 
+  %en = min(nsam,st + 4*framesize*M); 
+  en = nsam;
+  gmsk_statres.verbose = 2;
+  [rx_bits rx_out rx_filt] = gmsk_demod(gmsk_states, rxbb(st:en));
+  nframes_rx = length(rx_bits)/framesize;
+
+  % count errors
+
+  [total_errors total_bits Nerrs_log Nerrs_all_log errors_log] = coarse_sync_ber(nframes_rx, tx_frame, rx_bits);
+
+  ber = total_errors/total_bits;
+
+  printf("Nframes: %d Nbits: %d Nerrs: %d BER: %f\n", 
+         nframes_rx, total_bits, total_errors, ber);
+
+  % Optionally save a file of bit errors so we can simulate the effect on Codec 2
+
+  if nargin == 2
+
+    % To simulate effects of these errors on Codec 2:
+    %   $  ~/codec2-dev/octave$ ../build_linux/src/c2enc 1300 ../raw/hts1raw - | ../build_linux/src/insert_errors - - ssb7dbSNR.err 52 | ../build_linux/src/c2dec 1300 - - | play -t raw -r 8000 -s -2 -
+    % Note in this example I'm using the 1300 bit/s codec, it's sig more robust that 1200 bit/s, 
+    % if we ran the GMSK modem at 1300 bit/s there would be a 10*log10(1300/1200) = 0.35dB SNR penalty 
+
+    fep=fopen(err_file_name,"wb"); fwrite(fep, errors_log, "short"); fclose(fep);
+  end
+
+  figure;
+  clf
+  subplot(211)
+  plot(Nerrs_log,'r;errors/frame counted for BER;');
+  hold on;
+  plot(Nerrs_all_log,'g;all errors/frame;');
+  hold on;
+  title('Bit Errors')
+  legend("boxoff");
+  subplot(212)
+  stem(real(cumsum(Nerrs_log)))
+  title('Cumulative Bit Errors')
+endfunction
+
+
+%run_gmsk_single
+%run_gmsk_curves
+%run_gmsk_init
+%run_test_channel_impairments
+gmsk_tx("test_gmsk.raw")
+gmsk_rx("test_gmsk.raw")
+%gmsk_rx("ssb25db.wav")
+%gmsk_rx("~/Desktop/ssb_fm_gmsk_high.wav")
+%gmsk_rx("~/Desktop/test_gmsk_28BER.raw")
+%gmsk_rx("~/Desktop/gmsk_rec_reverse.wav")
+
diff --git a/octave/gp_interleaver.m b/octave/gp_interleaver.m
new file mode 100644
index 0000000..1ee0ee3
--- /dev/null
+++ b/octave/gp_interleaver.m
@@ -0,0 +1,46 @@
+% gp_interleaver.m
+%
+% David Rowe May 2017
+%
+% Golden Prime Interleaver. My interprestation of "On the Analysis and
+% Design of Good Algebraic Interleavers", Xie et al,eq (5).
+
+1;
+
+% Choose b for Golden Prime Interleaver.  b is chosen to be the
+% closest integer, which is relatively prime to N, to the Golden
+% section of N.
+
+function b = choose_interleaver_b(Nbits)
+
+  p = primes(Nbits);
+  i = 1;
+  while(p(i) < Nbits/1.62)
+    i++;
+  end
+  b = p(i);
+  assert(gcd(b,Nbits) == 1, "b and Nbits must be co-prime");
+end
+
+
+function interleaved_frame = gp_interleave(frame)
+  Nbits = length(frame);
+  b = choose_interleaver_b(Nbits);
+  interleaved_frame = zeros(1,Nbits);
+  for i=1:Nbits
+    j = mod((b*(i-1)), Nbits);
+    interleaved_frame(j+1) = frame(i);
+  end
+endfunction
+
+
+function frame = gp_deinterleave(interleaved_frame)
+  Nbits = length(interleaved_frame);
+  b = choose_interleaver_b(Nbits);
+  frame = zeros(1,Nbits);
+  for i=1:Nbits
+    j = mod((b*(i-1)), Nbits);
+    frame(i) = interleaved_frame(j+1);
+  end
+endfunction
+
diff --git a/octave/h0p25d.mat b/octave/h0p25d.mat
new file mode 100644
index 0000000..485b693
--- /dev/null
+++ b/octave/h0p25d.mat
diff --git a/octave/hackrf_dc.m b/octave/hackrf_dc.m
new file mode 100644
index 0000000..a204e70
--- /dev/null
+++ b/octave/hackrf_dc.m
@@ -0,0 +1,26 @@
+% hackrf_dc.m
+%
+% David Rowe Nov 2015
+%
+% Downconverts a HackRF IQ sample file to a lower sample rate
+%
+% To sample a -60dB signal:
+%   $ hackrf_transfer -r df1.iq -f 439200000  -n 10000000 -l 20 -g 40play file at 10.7MHz used:
+%   octave:25> d = hackrf_dc("df1.iq")
+
+function d = hackrf_dc(infilename)
+  Fs1 = 10E6;   % input sample rate to HackRF
+  Fs2 = 96E3;   % output sample rate
+  fc  = 700E3;  % offset to shift input by, HackRF doesn't like signals in the centre
+  
+  s1 = load_hackrf(infilename);
+  ls1 = length(s1);
+  ls1 = 20*Fs1;
+  t = 0:ls1-1;
+
+  % shift down to baseband from Fc, not sure of rot90 rather than trasnpose operator '
+  % to avoid unwanted complex conj
+
+  s2 = rot90(s1(1:ls1)) .* exp(-j*2*pi*t*fc/Fs1);
+  d = resample(s2, Fs2, Fs1);
+end
diff --git a/octave/hackrf_twotone.m b/octave/hackrf_twotone.m
new file mode 100644
index 0000000..1d5aa02
--- /dev/null
+++ b/octave/hackrf_twotone.m
@@ -0,0 +1,24 @@
+% hackrf_twotone.m
+%
+% David Rowe Nov 2015
+%
+% Generates a two tone test signal that can be played out of HackRF
+%
+% To play file at 10.7MHz used:
+%   $ hackrf_transfer -t ../octave/twotone.iq -f 10000000 -a 0 -x 47
+%
+% However 2nd harmonic at 21.4 was only -32dBC so not really useful for my application
+% in testing an ADC
+
+Fs = 8E6;
+fc = 2E6;
+f1 = fc;
+f2 = fc+1E3;
+A = 127;
+T = 2;
+
+N = T*Fs;
+t = 0:N-1;
+%s = A*exp(j*2*pi*t*f1/Fs) + A*exp(j*2*pi*t*f2/Fs);
+s = A*exp(j*2*pi*t*f2/Fs);
+save_hackrf("twotone.iq",s);
diff --git a/octave/hackrf_uc.m b/octave/hackrf_uc.m
new file mode 100644
index 0000000..0f55bd1
--- /dev/null
+++ b/octave/hackrf_uc.m
@@ -0,0 +1,47 @@
+% hackrf_uc.m
+%
+% David Rowe Nov 2015
+%
+% Upconverts a real baseband sample file to a file suitable for input into a HackRF
+%
+% To play file at 10.7MHz used:
+%   octave:25> hackrf_uc("fsk_10M.iq","fsk_horus_rx_1200_96k.raw")
+%   $ hackrf_transfer -t ../octave/fsk_10M.iq -f 10000000 -a 1 -x 40
+
+function hackrf_uc(outfilename, infilename)
+  pkg load signal;
+  Fs1 = 48E3;  % input sample rate
+  Fs2 = 10E6;  % output sample rate to HackRF
+  fc = 700E3-24E3;  % offset to shift to, HackRF doesn't like signals in the centre
+  A  = 100;    % amplitude of signal after upc-nversion (max 127)
+  N  = Fs1*20;
+  
+  fin = fopen(infilename,"rb");
+  printf("1\n");
+  s1 = fread(fin,"short");
+  printf("1\n");
+  fclose(fin);
+  printf("1\n");
+  ls1 = length(s1);
+  printf("1\n");
+  N = ls1;
+  % single sided freq shifts, we don't want DSB
+  printf("1\n");
+  s1 = hilbert(s1(1:N)); 
+
+  % upsample to Fs2
+
+  M = Fs2/Fs1;
+  s2 = resample(s1(1:N),Fs2,Fs1);
+  ls2 = length(s2);
+  mx = max(abs(s2));
+  t = 0:ls2-1;
+  printf("2\n");
+  % shift up to Fc, note use of rot90 rather than trasnpose operator '
+  % as we don't want complex conj, that would shift down in freq
+
+  sout = rot90((A/mx)*s2) .* exp(j*2*pi*t*fc/Fs2);
+
+  save_hackrf(outfilename,sout);
+  
+end
diff --git a/octave/hf_modem_curves.m b/octave/hf_modem_curves.m
new file mode 100644
index 0000000..d98d40e
--- /dev/null
+++ b/octave/hf_modem_curves.m
@@ -0,0 +1,272 @@
+% hf_modem_curves
+% David Rowe Feb 2017
+%
+% Ideal implementations of a bunch of different HF modems, used to
+% generate plots for a blog post.
+
+#{
+  [X] ideal AWGN/HF curves
+  [X] exp AWGN QPSK curves
+  [X] exp AWGN DQPSK curves
+  [X] exp HF channel model
+  [ ] diversity
+  [ ] COHPSK frames
+      + would require multiple carriers
+      + filtering or OFDM
+#}
+
+1;
+
+% Gray coded QPSK modulation function
+
+function symbol = qpsk_mod(two_bits)
+    two_bits_decimal = sum(two_bits .* [2 1]); 
+    switch(two_bits_decimal)
+        case (0) symbol =  1;
+        case (1) symbol =  j;
+        case (2) symbol = -j;
+        case (3) symbol = -1;
+    endswitch
+endfunction
+
+
+% Gray coded QPSK demodulation function
+
+function two_bits = qpsk_demod(symbol)
+    bit0 = real(symbol*exp(j*pi/4)) < 0;
+    bit1 = imag(symbol*exp(j*pi/4)) < 0;
+    two_bits = [bit1 bit0];
+endfunction
+
+
+% Rate Rs modem simulation model -------------------------------------------------------
+
+function sim_out = ber_test(sim_in)
+    bps     = 2;     % two bits/symbol for QPSK
+    Rs      = 50;    % symbol rate (needed for HF model)
+    
+    verbose = sim_in.verbose;
+    EbNovec = sim_in.EbNovec;
+    hf_en   = sim_in.hf_en;
+
+    % user can supply number of bits per point to get good results
+    % at high Eb/No
+
+    if length(sim_in.nbits) > 1
+      nbitsvec = sim_in.nbits;
+      nbitsvec += 100 - mod(nbitsvec,100);  % round up to nearest 100
+    else
+      nbitsvec(1:length(EbNovec)) = sim_in.nbits;
+    end
+
+    % init HF model
+
+    if hf_en
+
+      % some typical values
+
+      dopplerSpreadHz = 1.0; path_delay = 1E-3*Rs;
+
+      nsymb = max(nbitsvec)/2;
+      spread1 = doppler_spread(dopplerSpreadHz, Rs, nsymb);
+      spread2 = doppler_spread(dopplerSpreadHz, Rs, nsymb);
+      hf_gain = 1.0/sqrt(var(spread1)+var(spread2));
+      % printf("nsymb: %d lspread1: %d\n", nsymb, length(spread1));
+    end
+
+    for ne = 1:length(EbNovec)
+
+        % work out noise power -------------
+
+        EbNodB = EbNovec(ne);
+        EsNodB = EbNodB + 10*log10(bps);
+        EsNo = 10^(EsNodB/10);
+        variance = 1/EsNo;
+        nbits = nbitsvec(ne);
+        nsymb = nbits/bps;
+
+        % modulator ------------------------
+
+        tx_bits = rand(1,nbits) > 0.5;        
+        tx_symb = [];
+        prev_tx_symb = 1;
+        for s=1:nsymb
+          atx_symb = qpsk_mod(tx_bits(2*s-1:2*s));
+          if sim_in.dqpsk
+            atx_symb *= prev_tx_symb;
+            prev_tx_symb = atx_symb;
+          end
+          tx_symb = [tx_symb atx_symb];
+        end
+
+        % channel ---------------------------
+
+        rx_symb = tx_symb;
+
+        if hf_en
+
+          % simplified rate Rs simulation model that doesn't include
+          % ISI, just freq filtering.  We assume perfect phase estimation
+          % so it's just amplitude distortion.
+
+          hf_model1 = hf_model2 = zeros(1, nsymb);
+          for s=1:nsymb 
+            hf_model1(s) = hf_gain*(spread1(s) + exp(-j*path_delay)*spread2(s));
+            hf_model     = abs(hf_model1(s));
+
+            if sim_in.diversity
+              % include amplitude information from another frequency in channel model
+              w1 = 7*2*pi;
+              hf_model2(s) = hf_gain*(spread1(s) + exp(-j*w1*path_delay)*spread2(s));
+              hf_model     = 0.5*abs(hf_model1(s)) + 0.5*abs(hf_model2(s));
+            end
+
+            rx_symb(s) = rx_symb(s).*hf_model;
+          end
+        end
+
+        % variance is noise power, which is divided equally between real and
+        % imag components of noise
+
+        noise = sqrt(variance*0.5)*(randn(1,nsymb) + j*randn(1,nsymb));
+        rx_symb += noise;
+
+        % demodulator ------------------------------------------
+
+        % demodulate rx symbols to bits
+ 
+        rx_bits = [];
+        prev_rx_symb = 1;
+        for s=1:nsymb
+          arx_symb = rx_symb(s);
+          if sim_in.dqpsk
+            tmp = arx_symb;
+            arx_symb *= prev_rx_symb';
+            prev_rx_symb = tmp;
+          end
+          two_bits = qpsk_demod(arx_symb);
+          rx_bits = [rx_bits two_bits];
+        end
+        
+        % count errors -----------------------------------------
+
+        error_pattern = xor(tx_bits, rx_bits);
+        nerrors = sum(error_pattern);
+        bervec(ne) = nerrors/nbits;
+        if verbose
+          printf("EbNodB: % 3.1f nbits: %5d nerrors: %5d ber: %4.3f\n", EbNodB, nbits, nerrors, bervec(ne));
+          if verbose == 2
+            figure(2); clf;
+            plot(rx_symb*exp(j*pi/4),'+','markersize', 10);
+            mx = max(abs(rx_symb));
+            axis([-mx mx -mx mx]);
+            if sim_in.diversity && sim_in.hf_en 
+              figure(3);
+              plot(1:nsymb, abs(hf_model1), 1:nsymb, abs(hf_model2), 'linewidth', 2);
+            end
+          end
+        end
+    end
+
+    sim_out.bervec = bervec;
+endfunction
+
+
+% -------------------------------------------------------------
+
+
+function run_single
+    sim_in.verbose   = 2;
+    sim_in.nbits     = 1000;
+    sim_in.EbNovec   = 4;
+    sim_in.dqpsk     = 0;
+    sim_in.hf_en     = 0;
+    sim_in.diversity = 0;
+
+    sim_qpsk = ber_test(sim_in);
+endfunction
+
+
+function run_curves
+    max_nbits = 1E5;
+    sim_in.verbose = 1;
+    sim_in.EbNovec = 0:10;
+    sim_in.dqpsk   = 0;
+    sim_in.hf_en   = 0;
+    sim_in.diversity = 0;
+
+    % AWGN -----------------------------
+
+    ber_awgn_theory = 0.5*erfc(sqrt(10.^(sim_in.EbNovec/10)));
+    sim_in.nbits    = min(max_nbits, floor(500 ./ ber_awgn_theory));
+
+    sim_qpsk = ber_test(sim_in);
+    sim_in.dqpsk = 1;
+    sim_dqpsk = ber_test(sim_in);
+       
+    % HF -----------------------------
+
+    hf_sim_in = sim_in; hf_sim_in.dqpsk = 0; hf_sim_in.hf_en = 1;
+    hf_sim_in.EbNovec = 0:16;
+
+    EbNoLin = 10.^(hf_sim_in.EbNovec/10);
+    ber_hf_theory = 0.5.*(1-sqrt(EbNoLin./(EbNoLin+1)));
+
+    hf_sim_in.nbits = min(max_nbits, floor(500 ./ ber_hf_theory));
+    sim_qpsk_hf = ber_test(hf_sim_in);
+
+    hf_sim_in.dqpsk = 1; 
+    sim_dqpsk_hf = ber_test(hf_sim_in);
+
+    hf_sim_in.dqpsk = 0; 
+    hf_sim_in.diversity = 1;
+    sim_qpsk_hf_div = ber_test(hf_sim_in);
+
+    % Plot results --------------------
+
+    close all;
+    figure (1, 'position', [100, 10, 600, 400]); clf;
+
+    semilogy(sim_in.EbNovec, ber_awgn_theory,'r+-;QPSK AWGN theory;', 'linewidth', 2)
+    xlabel('Eb/No (dB)')
+    ylabel('BER')
+    grid("minor")
+    axis([min(sim_in.EbNovec) max(sim_in.EbNovec) 1E-3 1])
+    hold on;
+    
+    semilogy([0 4 4], [ber_awgn_theory(5) ber_awgn_theory(5) 1E-3],'k--', 'linewidth', 2);
+    hold off;
+
+    figure (2, 'position', [300, 10, 600, 400]); clf;
+    semilogy(sim_in.EbNovec, ber_awgn_theory,'r+-;QPSK AWGN theory;','markersize', 10, 'linewidth', 2)
+    hold on;
+    semilogy(sim_in.EbNovec, sim_qpsk.bervec,'g+-;QPSK AWGN simulated;','markersize', 10, 'linewidth', 2)
+    semilogy(sim_in.EbNovec, sim_dqpsk.bervec,'b+-;DQPSK AWGN simulated;','markersize', 10, 'linewidth', 2)
+    xlabel('Eb/No (dB)')
+    ylabel('BER')
+    grid("minor")
+    axis([min(sim_in.EbNovec) max(sim_in.EbNovec) 1E-3 1])
+
+    figure (3, 'position', [400, 10, 600, 400]); clf;
+    semilogy(sim_in.EbNovec, ber_awgn_theory,'r+-;QPSK AWGN theory;','markersize', 10, 'linewidth', 2)
+    hold on;
+    semilogy(sim_in.EbNovec, sim_qpsk.bervec,'g+-;QPSK AWGN simulated;','markersize', 10, 'linewidth', 2)
+    semilogy(sim_in.EbNovec, sim_dqpsk.bervec,'b+-;DQPSK AWGN simulated;','markersize', 10, 'linewidth', 2)
+    semilogy(hf_sim_in.EbNovec, ber_hf_theory,'r+-;QPSK HF theory;','markersize', 10, 'linewidth', 2)
+    semilogy(hf_sim_in.EbNovec, sim_dqpsk_hf.bervec,'b+-;DQPSK HF simulated;','markersize', 10, 'linewidth', 2)
+    semilogy(hf_sim_in.EbNovec, sim_qpsk_hf.bervec,'g+-;QPSK HF simulated;','markersize', 10, 'linewidth', 2)
+    semilogy(hf_sim_in.EbNovec, sim_qpsk_hf_div.bervec,'c+-;QPSK Diversity HF simulated;','markersize', 10, 'linewidth', 2)
+    hold off;
+    xlabel('Eb/No (dB)')
+    ylabel('BER')
+    grid("minor")
+    axis([min(hf_sim_in.EbNovec) max(hf_sim_in.EbNovec) 1E-3 1])
+
+endfunction
+
+% -------------------------------------------------------------
+
+more off;
+rand('seed',1); randn('seed', 1);
+run_curves
+#run_single
diff --git a/octave/hf_sim.m b/octave/hf_sim.m
new file mode 100644
index 0000000..c9105c0
--- /dev/null
+++ b/octave/hf_sim.m
@@ -0,0 +1,78 @@
+% hf_sim.m
+% David Rowe March 2014
+%
+% Two path CCIR poor HF channel simulation, with apaologies to PathSim
+
+% Init HF channel model from stored sample files of spreading signal ----------------------------------
+
+global spread;
+global spread_2ms;
+global hf_gain;
+
+% convert "spreading" samples from 1kHz carrier at Fs to complex
+% baseband, generated by passing a 1kHz sine wave through PathSim with
+% the ccir-poor model, enabling one path at a time.  Because I'm too
+% lazy to generate my own spreading signals
+    
+Fc = 1000; Fs=8000;
+fspread = fopen("../raw/sine1k_2Hz_spread.raw","rb");
+spread1k = fread(fspread, "int16")/10000;
+fclose(fspread);
+fspread = fopen("../raw/sine1k_2ms_delay_2Hz_spread.raw","rb");
+spread1k_2ms = fread(fspread, "int16")/10000;
+fclose(fspread);
+
+% down convert to complex baseband
+
+spreadbb = spread1k.*exp(-j*(2*pi*Fc/Fs)*(1:length(spread1k))');
+spreadbb_2ms = spread1k_2ms.*exp(-j*(2*pi*Fc/Fs)*(1:length(spread1k_2ms))');
+
+% remove -2000 Hz image
+
+b = fir1(50, 5/Fs);
+spread = filter(b,1,spreadbb);
+spread_2ms = filter(b,1,spreadbb_2ms);
+
+% discard first 1000 samples as these were near 0, probably as
+% PathSim states were ramping up
+
+spread     = spread(1000:length(spread));
+spread_2ms = spread_2ms(1000:length(spread_2ms));
+
+hf_gain = 1.0/sqrt(var(spread)+var(spread_2ms));
+
+% This function simulates the HF channel at 8kHz for real signals.  A
+% good use case is passing a vector of speech samples through it to
+% simulate SSB over HF.  There's a really good reason for the 300 -
+% 3000 Hz filter that escapes me right now :-)
+
+function [sim_out snr3kHz_measured ] = hf_sim_real(sim_in, snr3kHz)
+
+    % 300 - 3000 Hz filter
+
+    b = fir1(100,[300/4000, 3000/4000], 'pass');
+    
+    % det power of unit variance noise passed through this filter
+    
+    filter_var = var(filter(b,1,randn(1000,1)));
+    
+    % Start simulation
+
+    s = hilbert(filter(b,1,sim_in));
+    n1 = length(s); n2 = length(spread);
+    n = min(n1,n2);
+    path1 = s(1:n) .* spread(1:n);
+    path2 = s(1:n) .* spread_2ms(1:n);
+    delay = floor(0.002*Fs);
+
+    combined = path1(delay+1:n) + path2(1:n-delay);
+
+    snr = 10 .^ (snr3kHz/10);
+    variance = (combined'*combined)/(snr*n);
+    noise = sqrt(variance*0.5/filter_var)*(randn(n-delay,1) + j*randn(n-delay,1));
+    filtered_noise = filter(b,1,noise);
+ 
+    sim_out = real(combined+filtered_noise);
+    snr3kHz_measured = 10*log10(var(real(combined))/var(real(filtered_noise)));
+endfunction
+
diff --git a/octave/horus_high_speed.bin b/octave/horus_high_speed.bin
new file mode 100644
index 0000000..8d5b1f3
--- /dev/null
+++ b/octave/horus_high_speed.bin
diff --git a/octave/horus_msg.txt b/octave/horus_msg.txt
new file mode 100644
index 0000000..882a9b3
--- /dev/null
+++ b/octave/horus_msg.txt
@@ -0,0 +1 @@
+ 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00
diff --git a/octave/horus_payload_rtty.txt b/octave/horus_payload_rtty.txt
new file mode 100644
index 0000000..882a9b3
--- /dev/null
+++ b/octave/horus_payload_rtty.txt
@@ -0,0 +1 @@
+ 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 1.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 1.00000000e+00 0.00000000e+00
diff --git a/octave/horus_tx_bits_binary.txt b/octave/horus_tx_bits_binary.txt
new file mode 100644
index 0000000..2a688b0
--- /dev/null
+++ b/octave/horus_tx_bits_binary.txt
@@ -0,0 +1 @@
+0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 0 1 1 1 0 0 0 1 0 1 1 1 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0 1 1 0 0 1 1 0 1 1 0 0 1 0 1 0 0 0 1 0 1 0 1 0 1 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 0 1 1 0 1 0 1 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 1 0 0 0 1 1 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 1 1 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 0 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 1 0 1 0 1 1 1 0 1 1 0 0 1 1 0 0 0 0 
\ No newline at end of file
diff --git a/octave/hp_filt.m b/octave/hp_filt.m
new file mode 100644
index 0000000..1087bb9
--- /dev/null
+++ b/octave/hp_filt.m
@@ -0,0 +1,12 @@
+% hp_filt.m
+% David Rowe 20 Feb 2012
+
+function hp_filt(in_file, out_file)
+  fin = fopen(in_file,"rb");
+  s = fread(fin,Inf,"short");
+  b = fir1(256, 300/4000, "high");
+  freqz(b);
+  s_hpf = filter(b,1,s);
+  fout = fopen(out_file,"wb");
+  fwrite(fout, s_hpf, "short");
+endfunction
diff --git a/octave/impulse_noise.m b/octave/impulse_noise.m
new file mode 100644
index 0000000..dee5c5d
--- /dev/null
+++ b/octave/impulse_noise.m
@@ -0,0 +1,122 @@
+% impulse_noise
+% David Rowe May 2017
+%
+% Experiments with impulsive noise and HF radio
+
+format;
+more off;
+rand('seed',1)
+
+% DFT function ------------------------------------------------
+% note k is on 0..K-1 format, unlike Octave fft() which is 1..K
+
+function H = calc_H(k, K, a, d)
+  L = length(d);
+  H = 0;
+  for i=1:L
+    H += a(i)*exp(-j*2*pi*k*d(i)/K);
+  end
+endfunction
+
+% -----------------------------------------
+% PWM noise simulation
+% -----------------------------------------
+
+function pwm_noise
+
+  Fs   = 10E6;   % sample rate of simulation
+  Fsig = 1E6;    % frequency of our wanted signal
+  Fpwm = 255E3;  % switcher PWM frequency
+  T    = 1;      % length of simulations in seconds
+  Nsam = T*Fs;  
+  Nsamplot = 200;
+  Apwm = 0.1;
+  Asig = -40;    % attenuation of wanted signal in dB
+
+  % generate an impulse train with jitter to simulate switcher noise
+
+  pwm = zeros(1,Fs);
+  Tpwm = floor(Fs/Fpwm);
+  pulse_positions_pwm = Tpwm*(1:T*Fpwm) + round(rand(1,T*Fpwm));
+
+  h_pwm = zeros(1,Nsam);
+  h_pwm(pulse_positions_pwm) = Apwm;
+  h_pwm = h_pwm(1:Nsam);
+ 
+  % add in wanted signal and computer amplitude spectrum
+
+  s = 10^(Asig/20)*cos(2*pi*Fsig*(1:Nsam)/Fs);
+
+  h = h_pwm+s;
+  H = fft(h);
+  Hdb = 20*log10(abs(H)) - 20*log10(Nsam/2);
+
+  figure(1); clf;
+  subplot(211)
+  plot(h(1:Nsamplot));
+  subplot(212)
+  plot(Hdb(1:Nsam/2));
+  axis([0 T*2E6 -120 0]); xlabel('Frequency Hz'); ylabel('Amplityude dBV'); grid;
+
+  printf("pwm rms: %f signal rms: %f noise rms\n", std(h_pwm), std(s));
+endfunction
+
+% -----------------------------------------
+% Single pulse noise simulation
+% -----------------------------------------
+
+function pulse_noise
+
+  % set up short pulse in wide window, consisting of two samples next
+  % to each other
+
+  K = 1024;
+  a(1) = a(2) = 1; d(1) = 10; d(2) = d(1)+1;
+  h = zeros(1,K);
+  h(d(1)) = a(1);
+  h(d(2)) = a(2);
+
+  % mag and phase spectrum, mag spectrum changes slowly
+
+  figure(2); clf;
+  Hfft = fft(h);
+  subplot(311)
+  stem(h(1:100));
+  axis([1 100 -0.2 1.2]);
+  subplot(312)  
+  plot(abs(Hfft(1:K/2)),'+');
+  title('Magnitude');
+  subplot(313)
+  plot(angle(Hfft(1:K/2)),'+');
+  title('Phase');
+
+  % simple test to estimate H(k+1) from H(k) --------------------
+
+  % brute force calculation
+
+  k = 300;
+  H = zeros(1,K);
+  H(k-1) = calc_H(k-1, K, a, d);
+  H(k)   = calc_H(k, K, a, d);
+  H(k+1) = calc_H(k+1, K, a, d);
+
+  % calculation of k+1 from k using approximation that {d(i)} are
+  % close together compared to M, i.e it's a narrow pulse (assumes we
+  % can estimate d using other means)
+
+  Hk1_ = exp(-j*2*pi*d(1)/K)*H(k);
+
+  % plot zoomed in version around k to compare
+
+  figure(3); clf;
+  plot(H(k-1:k+1),'b+','markersize', 10, 'linewidth', 2);
+  hold on; plot(Hk1_,'g+','markersize', 10, 'linewidth', 2); hold off;
+  title('H(k-1) .... H(k+1)');
+  printf("H(k+1) match: %f dB\n", 20*log10(abs(H(k+1) - Hk1_)));
+endfunction
+
+% Run various simulations here ---------------------------------------------
+
+%pwm_noise
+pulse_noise
+
diff --git a/octave/ldpc.m b/octave/ldpc.m
new file mode 100644
index 0000000..0938b8d
--- /dev/null
+++ b/octave/ldpc.m
@@ -0,0 +1,194 @@
+% ldpc.m
+%
+#{
+  David Rowe 2013
+  Octave functions for the CML LDPC library.
+
+  To install and compile CML support:
+  
+  $ sudo apt-get install liboctave-dev
+  $ git clone [email protected]:drowe67/cml.git
+  $ cd cml
+  $ make
+
+  If you have configured codec2 with cmake -DUNITTEST=1, then you will
+  already have CML (e.g. under build_linux/cml), as it is used to run unit tests.
+
+  To use CML when running Octave simulations from the Octave CLI, set an
+  environment variable for CML_PATH in your shell or in your
+  codec2/octave/.octaverc file:
+
+    setenv("CML_PATH",sprintf("%s/codec2/build_linux/cml",getenv("HOME")))
+#}
+
+1;
+
+function init_cml()
+  currentdir = pwd;
+  
+  path_to_cml = getenv("CML_PATH");
+
+  if exist(path_to_cml, 'dir') == 7
+    cd(path_to_cml)
+    CmlStartup      
+    cd(currentdir); 
+  else
+    printf("\n---------------------------------------------------\n");
+    printf("Can't start CML in path: %s\n", path_to_cml);
+    printf("See CML_PATH instructions at top of this script (ldpc.m)\n");
+    printf("-----------------------------------------------------\n\n");
+    assert(0);
+  end
+end
+
+% init using built in WiMax or DVSB2 code
+
+function code_param = ldpc_init_builtin(code, rate, framesize, modulation, mod_order, mapping, constellation)
+    if strcmp(code,'wimax')
+      [code_param.H_rows, code_param.H_cols, code_param.P_matrix] = InitializeWiMaxLDPC( rate, framesize,  0 );
+    end
+    if strcmp(code,'dvbs2')
+      [code_param.H_rows, code_param.H_cols, code_param.P_matrix] = InitializeDVBS2( rate, framesize);
+    end
+    if nargin == 7
+      code_param.S_matrix = constellation;
+    else
+      if length(mapping) == 0
+        code_param.S_matrix = CreateConstellation( modulation, mod_order);
+      else
+        code_param.S_matrix = CreateConstellation( modulation, mod_order, mapping );
+      end
+    end  
+    code_param.bits_per_symbol = log2(mod_order);
+
+    code_param.ldpc_data_bits_per_frame = length(code_param.H_cols) - length(code_param.P_matrix);
+    code_param.ldpc_parity_bits_per_frame = framesize - code_param.ldpc_data_bits_per_frame;
+    code_param.ldpc_coded_bits_per_frame = framesize;
+
+    code_param.data_bits_per_frame  = code_param.ldpc_data_bits_per_frame;
+    code_param.coded_bits_per_frame = code_param.ldpc_coded_bits_per_frame;
+    code_param.coded_syms_per_frame = code_param.coded_bits_per_frame/code_param.bits_per_symbol;
+endfunction
+
+
+% init using user supplied code
+
+function [code_param framesize rate] = ldpc_init_user(HRA, modulation, mod_order, mapping, constellation)
+    [Nr Nc] = size(HRA);  
+    rate = (Nc-Nr)/Nc;
+    framesize = Nc;
+    [H_rows, H_cols] = Mat2Hrows(HRA); 
+    code_param.H_rows = H_rows; 
+    code_param.H_cols = H_cols;
+    code_param.P_matrix = [];
+    if nargin == 5
+      code_param.S_matrix = constellation;
+    else
+      if length(mapping) == 0
+        code_param.S_matrix = CreateConstellation( modulation, mod_order);
+      else
+        code_param.S_matrix = CreateConstellation( modulation, mod_order, mapping );
+      end
+    end  
+    code_param.bits_per_symbol = log2(mod_order);
+
+    code_param.ldpc_data_bits_per_frame = length(code_param.H_cols) - length(code_param.P_matrix);
+    code_param.ldpc_parity_bits_per_frame = framesize - code_param.ldpc_data_bits_per_frame;
+    code_param.ldpc_coded_bits_per_frame = framesize;
+
+    % these variables support 1's stuffing (not using all data bits to lower code rate)
+    code_param.data_bits_per_frame  = code_param.ldpc_data_bits_per_frame;
+    code_param.coded_bits_per_frame = code_param.ldpc_coded_bits_per_frame;
+    code_param.coded_syms_per_frame = code_param.coded_bits_per_frame/code_param.bits_per_symbol;
+endfunction
+
+
+function [codeword s] = ldpc_enc(data, code_param)
+  if code_param.data_bits_per_frame != code_param.ldpc_data_bits_per_frame
+    % optionally lower the code rate by "1's stuffing" - setting Nunused data bits to 1
+    Nunused = code_param.ldpc_data_bits_per_frame - code_param.data_bits_per_frame;
+    codeword = LdpcEncode([data ones(1,Nunused)], code_param.H_rows, code_param.P_matrix);
+    % remove unused data bits from codeword, as they are known to the receiver and don't need to be transmitted
+    codeword = [ codeword(1:code_param.data_bits_per_frame) codeword(code_param.ldpc_data_bits_per_frame+1:end) ];
+  else
+    codeword = LdpcEncode( data, code_param.H_rows, code_param.P_matrix );
+  end
+  s = Modulate( codeword, code_param.S_matrix );
+endfunction
+
+
+function [detected_data paritychecks] = ldpc_dec(code_param, max_iterations, ...
+                                                 demod_type, decoder_type, r, ...
+                                                 EsNo, fading)
+    % handle "1's stuffing" case where we don't use all data bits
+    Nunused = code_param.ldpc_data_bits_per_frame - code_param.data_bits_per_frame;
+
+    symbol_likelihood = Demod2D( r, code_param.S_matrix, EsNo, fading);
+    
+    % initialize the extrinsic decoder input
+
+    input_somap_c = zeros(1, code_param.ldpc_coded_bits_per_frame - Nunused);
+    bit_likelihood = Somap( symbol_likelihood, demod_type, input_somap_c );
+    
+    input_decoder_c = bit_likelihood(1:(code_param.ldpc_coded_bits_per_frame-Nunused));
+    
+    % insert "very likely" LLRs for unsed data bits (in 1's stuffing case)
+    input_decoder_c = [input_decoder_c(1:code_param.data_bits_per_frame) ...
+                       100*ones(1,Nunused) ...
+                       input_decoder_c(code_param.data_bits_per_frame+1:end)];
+    
+    [x_hat paritychecks] = MpDecode( -input_decoder_c, code_param.H_rows, code_param.H_cols, ...
+                                      max_iterations, decoder_type, 1, 1);
+    [mx mx_ind] = max(paritychecks);
+    detected_data = x_hat(mx_ind,:);    
+endfunction
+
+
+% Packs a binary array into an array of 8 bit bytes, MSB first
+
+function packed = packmsb(unpacked)
+    packed = zeros(1,floor(length(unpacked)+7)/8);
+    bit = 7; byte = 1;
+    for i=1:length(unpacked)
+        packed(byte) = bitor(packed(byte), bitshift(unpacked(i),bit));
+        bit--;
+        if (bit < 0)
+            bit = 7;
+            byte++;
+        end 
+    end
+endfunction
+
+
+% unpacks an array of 8 bit bytes into a binary array of unpacked bits, MSB first
+
+function unpacked = unpackmsb(packed)
+    bit = 7; byte = 1;
+    for i=1:length(packed)*8
+        unpacked(i) = bitand(bitshift(packed(byte), -bit), 1);
+        bit--;
+        if (bit < 0)
+            bit = 7;
+            byte++;
+        end 
+    end
+endfunction
+
+
+% symbol interleaver that acts on bits 2 at a time
+
+function y = interleave_bits(interleaver, x)
+    y =  zeros(1,length(x));
+    for i = 1:length(interleaver)
+        dst = interleaver(i);
+        y(2*(dst-1)+1:2*dst) = x(2*(i-1)+1:2*(i));
+    end
+endfunction
+
+% symbol de-interleaver
+
+function x = deinterleave_symbols(interleaver, y)
+    for i = 1:length(interleaver)
+        x(i) = y(interleaver(i));
+    end
+endfunction
diff --git a/octave/ldpc_fsk_lib.m b/octave/ldpc_fsk_lib.m
new file mode 100644
index 0000000..6b09505
--- /dev/null
+++ b/octave/ldpc_fsk_lib.m
@@ -0,0 +1,269 @@
+% lpdc_fsk_lib.m

+% April 2015

+%

+% Library version of ldpc4.m written by vk5dsp.  Application is high bit rate

+% balloon telemtry

+%

+% LDPC demo

+% Call the CML routines and simulate one set of SNRs.  

+% This function is an updated version of ldpc3() which uses less 

+% of the CML functions 

+%

+% sim_in the input parameter structure

+% sim_out contains BERs and other stats for each value of SNR

+% resfile is the result file

+%

+

+1;

+

+function sim_out = ldpc5(sim_in, resfile, testmode, genie_Es, logging=0);

+

+    if nargin<4, testmode = 0; end

+    estEsN0 = 0; 

+

+    HRA       = sim_in.HRA;

+    framesize = sim_in.framesize;

+    rate      = sim_in.rate;

+    mod_order = sim_in.mod_order;

+

+    Lim_Ferrs = sim_in.Lim_Ferrs;

+    Ntrials   = sim_in.Ntrials;

+    Esvec     = sim_in.Esvec;

+

+    demod_type = 0;

+    decoder_type = 0;

+    max_iterations = 100;

+    code_param = ldpc_init(HRA, mod_order);

+    bps = code_param.bits_per_symbol;

+

+

+    if (logging) 

+       fod = fopen('decode.log', 'w'); 

+       fwrite(fod, 'Es estEs Its  secs \n'); 

+    end 

+

+

+    for ne = 1:length(Esvec)

+        Es = Esvec(ne);

+        EsNo = 10^(Es/10);

+

+

+        Terrs = 0;  Tbits =0;  Ferrs =0;

+        for nn = 1: Ntrials

+

+          data = round( rand( 1, code_param.data_bits_per_frame ) );

+          codeword = ldpc_encode(code_param, data);

+

+          code_param.code_bits_per_frame = length( codeword );

+          Nsymb = code_param.code_bits_per_frame/bps;

+

+            if testmode==1

+               f1 = fopen("dat_in2064.txt", "w");

+               for k=1:length(data);  fprintf(f1, "%u\n", data(k)); end

+               fclose(f1); 

+               system("./ra_enc"); 

+

+               load("dat_op2064.txt"); 

+               pbits = codeword(length(data)+1:end);   %   print these to compare with C code 

+               dat_op2064(1:16)', pbits(1:16)  

+               differences_in_parity =  sum(abs(pbits - dat_op2064'))

+               pause;  

+            end

+

+

+            % modulate

+            % s = Modulate( codeword, code_param.S_matrix );

+            s= 1 - 2 * codeword;   

+            code_param.symbols_per_frame = length( s );

+

+            variance = 1/(2*EsNo);

+            noise = sqrt(variance)* randn(1,code_param.symbols_per_frame); 

+            %  +  j*randn(1,code_param.symbols_per_frame) );

+            r = s + noise;

+            Nr = length(r);  

+

+            [detected_data Niters] = ldpc_decode(r, code_param, max_iterations, decoder_type);

+

+            error_positions = xor( detected_data(1:code_param.data_bits_per_frame), data );

+            Nerrs = sum( error_positions);

+

+            t = clock;   t =  fix(t(5)*60+t(6)); 

+            if (logging)  

+              fprintf(fod, ' %3d  %4d\n', Niters, t); 

+              end 

+

+            if Nerrs>0, fprintf(1,'x'),  else fprintf(1,'.'),  end

+            if (rem(nn, 50)==0),  fprintf(1,'\n'),  end

+

+            if Nerrs>0,  Ferrs = Ferrs +1;  end

+            Terrs = Terrs + Nerrs;

+            Tbits = Tbits + code_param.data_bits_per_frame;

+

+            if Ferrs > Lim_Ferrs, disp(['exit loop with #cw errors = ' ...

+                    num2str(Ferrs)]);  break,  end

+        end

+

+        TERvec(ne) = Terrs;

+        FERvec(ne) = Ferrs;

+        BERvec(ne) = Terrs/ Tbits;

+        Ebvec = Esvec - 10*log10(code_param.bits_per_symbol * rate);

+

+        cparams= [code_param.data_bits_per_frame  code_param.symbols_per_frame ...

+            code_param.code_bits_per_frame];

+

+        sim_out.BERvec = BERvec;

+        sim_out.Ebvec = Ebvec;

+        sim_out.FERvec = FERvec;

+        sim_out.TERvec  = TERvec;

+        sim_out.cpumins = cputime/60;

+

+        if nargin > 2

+            save(resfile,  'sim_in',  'sim_out',  'cparams');

+            disp(['Saved results to ' resfile '  at Es =' num2str(Es) 'dB']);

+        end

+      end

+end

+

+

+function code_param = ldpc_init(HRA, mod_order)

+  code_param.bits_per_symbol = log2(mod_order);

+  [H_rows, H_cols] = Mat2Hrows(HRA); 

+  code_param.H_rows = H_rows; 

+  code_param.H_cols = H_cols;

+  code_param.P_matrix = [];

+  code_param.data_bits_per_frame = length(code_param.H_cols) - length( code_param.P_matrix ); 

+  code_param.symbols_per_frame = length(HRA);

+end

+

+

+function codeword = ldpc_encode(code_param, data)

+      codeword = LdpcEncode( data, code_param.H_rows, code_param.P_matrix );

+endfunction

+

+

+% Takes soft decision symbols (e.g. output of 2fsk demod) and converts

+% them to LLRs.  Note we calculate mean and var manually instead of

+% using internal functions.  This was required to get a bit exact

+% results against the C code.

+

+function llr = sd_to_llr(sd)

+    sd = sd / mean(abs(sd));

+    x = sd - sign(sd);

+    sumsq = sum(x.^2);

+    summ = sum(x);

+    mn = summ/length(sd);

+    estvar = sumsq/length(sd) - mn*mn; 

+    estEsN0 = 1/(2* estvar + 1E-3); 

+    llr = 4 * estEsN0 * sd;

+endfunction

+

+

+% LDPC decoder - note it estimates EsNo from received symbols

+

+function [detected_data Niters] = ldpc_decode(r, code_param, max_iterations, decoder_type)

+  % in the binary case the LLRs are just a scaled version of the rx samples ..

+

+ #{

+  r = r / mean(abs(r));       % scale for signal unity signal  

+  estvar = var(r-sign(r)); 

+  estEsN0 = 1/(2* estvar + 1E-3); 

+  input_decoder_c = 4 * estEsN0 * r;

+ #}

+  llr = sd_to_llr(r);

+

+  [x_hat, PCcnt] = MpDecode(llr, code_param.H_rows, code_param.H_cols, ...

+                            max_iterations, decoder_type, 1, 1);         

+  Niters = sum(PCcnt!=0);

+  detected_data = x_hat(Niters,:);

+  

+  if isfield(code_param, "c_include_file")

+    ldpc_gen_h_file(code_param, max_iterations, decoder_type, llr, x_hat, detected_data);

+  end

+end

+

+

+% One application of FSK LDPC work is SSTV.  This function generates a

+% simulated frame for testing

+

+function frame_rs232 = gen_sstv_frame

+  load('H2064_516_sparse.mat');

+  HRA = full(HRA);  

+  mod_order = 2;

+  code_param = ldpc_init(HRA, mod_order);

+

+  % generate payload data bytes and checksum

+

+  data = floor(rand(1,256)*256);

+  %data = zeros(1,256);

+  checksum = crc16(data);

+  data = [data hex2dec(checksum(3:4)) hex2dec(checksum(1:2))];

+

+  % unpack bytes to bits and LPDC encode

+

+  mask = 2.^(7:-1:0);       % MSB to LSB unpacking to match python tx code.

+  unpacked_data = [];

+  for b=1:length(data)

+    unpacked_data = [unpacked_data bitand(data(b), mask) > 0];

+  end

+  codeword = [ldpc_encode(code_param, unpacked_data) 0 0 0 0];  % pad with 0s to get integer number of bytes

+

+  % pack back into bytes to match python code 

+

+  lpacked_codeword = length(codeword)/8;

+  packed_codeword = zeros(1,lpacked_codeword);

+  for b=1:lpacked_codeword

+    st = (b-1)*8 + 1;

+    packed_codeword(b) = sum(codeword(st:st+7) .* mask);

+  end

+

+  % generate header bits

+

+  header = [hex2dec('55')*ones(1,16) hex2dec('ab') hex2dec('cd') hex2dec('ef') hex2dec('01')];

+

+  % now construct entire unpacked frame

+

+  packed_frame = [header packed_codeword];

+  mask = 2.^(0:7);        % LSB to MSB packing for header

+  lpacked_frame = length(packed_frame);

+  frame = [];

+  for b=1:lpacked_frame

+    frame = [frame bitand(packed_frame(b), mask) > 0];

+  end

+

+  % insert rs232 framing bits

+

+  frame_rs232 = [];

+  for b=1:8:length(frame)

+    frame_rs232 = [frame_rs232 0 frame(b:b+7) 1];

+  end

+

+  %printf("codeword: %d unpacked_header: %d frame: %d frame_rs232: %d \n", length(codeword), length(unpacked_header), length(frame), length(frame_rs232));

+endfunction

+

+

+% calculates and compares the checksum of a SSTV frame, that has RS232

+% start and stop bits

+

+function checksum_ok = sstv_checksum(frame_rs232)

+  l = length(frame_rs232);

+  expected_l = (256+2)*10;

+  assert(l == expected_l);

+

+  % extract rx bytes

+

+  rx_data = zeros(1,256);

+  mask = 2.^(0:7);          % LSB to MSB

+  k = 1;

+  for i=1:10:expected_l

+    rx_bits = frame_rs232(i+1:i+8);

+    rx_data(k) = sum(rx_bits .* mask); 

+    k++;

+  end

+

+  % calc rx checksum and extract tx checksum

+

+  rx_checksum = crc16(rx_data(1:256));

+  tx_checksum = sprintf("%02X%02X", rx_data(258), rx_data(257));

+  %printf("tx_checksum: %s rx_checksum: %s\n", tx_checksum, rx_checksum);

+  checksum_ok = strcmp(tx_checksum, rx_checksum);

+endfunction

diff --git a/octave/ldpc_gen_c_h_file.m b/octave/ldpc_gen_c_h_file.m
new file mode 100644
index 0000000..4e9aca1
--- /dev/null
+++ b/octave/ldpc_gen_c_h_file.m
@@ -0,0 +1,142 @@
+% ldpc_gen_c_h_file.m

+% David Rowe Sep 2015, B. Van Slyke 2019

+%

+% Create .c and h files for use in LDPC decoders

+%

+% NOTE:  You'll need to install the CML library as a number of functions involved

+%        in LDPC use it.  See ldpc.m for instructions in installing the CML

+%        library.

+%

+% usage examples:

+%

+%   1/ Using codes defined in external files:

+%

+%     octave:1> ldpc_gen_c_h_file("HRA_112_112.txt")

+%     octave:1> ldpc_gen_c_h_file(""H_4096_8192_3d.mat")

+%

+%   2/ Using built in CML codes:

+%

+%     octave:1> ldpc_gen_c_h_file("dvbs2", 0.6, 16200)

+%

+% Output: Two files with the same filename as the LDPC input, but with .c and .h

+% extensions.

+

+function ldpc_gen_c_h_file(varargin)

+

+    ldpc  % load ldpc functions

+    ldpc_fsk_lib  % for ldpc_encode

+

+    % Assuming cml has been installed in the users' home folder, which is the

+    % default install location

+    init_cml();

+

+    if nargin == 0

+        printf("Error - you must specify a file containing the LDPC codes (e.g. HRA_112_112.txt).\n");

+        return;

+    end

+    loadStr = varargin{1};

+

+    max_iterations = 100;

+    decoder_type = 0;

+    % the tests are performed using BPSK modulation, but in practice codes can be used

+    % with other modulation, e.g. QPSK

+    mod_order = 2; modulation = 'BPSK'; mapping = 'gray';

+

+    if strcmp(loadStr, "dvbs2")

+        rate = varargin{2};

+        framesize = varargin{3};

+        code_param = ldpc_init_builtin(loadStr, rate, framesize, modulation, mod_order, mapping);

+        n = code_param.ldpc_coded_bits_per_frame;

+        k = code_param.ldpc_data_bits_per_frame;

+        ldpcArrayName = sprintf("H_%d_%d",n,k);

+        includeFileName = strcat(ldpcArrayName, '.h');

+        sourceFileName = strcat(ldpcArrayName,  '.c');

+    else

+        % The ldpc variable name may not be what we want for a file/variable names, but

+        % the load filename will be, so use it.

+        [~,ldpcArrayName,ext] = fileparts(loadStr);

+        includeFileName = strcat(ldpcArrayName, '.h');

+        sourceFileName = strcat(ldpcArrayName,  '.c');

+

+        % Get the ext of the file first.  If it's a txt, then do what we

+        % are doing.  If .mat, then just load, knowing the variable is HRA

+        if strcmp(ext, '.mat') == 1

+            load(loadStr);

+            if exist("H") & !exist("HRA")

+                printf("renaming H to HRA...\n");

+                HRA=H;

+            end

+        else

+            % When calling 'load' this way, it returns a struct.  The code assumes the

+            % struct has one element, and the one/first element is the array

+            % to process

+            tempStruct = load(loadStr);

+            b = fieldnames(tempStruct);

+            ldpcArrayName = b{1,1};

+            % extract the array from the struct

+            HRA = tempStruct.(ldpcArrayName);

+        endif

+

+        code_param = ldpc_init_user(HRA, modulation, mod_order, mapping);

+    end

+

+    code_length = code_param.coded_syms_per_frame;

+

+    % First, create the H file

+    f = fopen(includeFileName, "wt");

+    printHeader(f, includeFileName, ldpcArrayName, mfilename());

+

+    fprintf(f,"#define %s_NUMBERPARITYBITS %d\n", ldpcArrayName, rows(code_param.H_rows));

+    fprintf(f,"#define %s_MAX_ROW_WEIGHT %d\n", ldpcArrayName, columns(code_param.H_rows));

+    fprintf(f,"#define %s_CODELENGTH %d\n", ldpcArrayName, code_param.coded_syms_per_frame);

+    fprintf(f,"#define %s_NUMBERROWSHCOLS %d\n", ldpcArrayName, rows(code_param.H_cols));

+    fprintf(f,"#define %s_MAX_COL_WEIGHT %d\n", ldpcArrayName, columns(code_param.H_cols));

+    fprintf(f,"#define %s_DEC_TYPE %d\n", ldpcArrayName, decoder_type);

+    fprintf(f,"#define %s_MAX_ITER %d\n", ldpcArrayName, max_iterations);

+    fprintf(f,"\n");

+    fprintf(f,"extern const uint16_t %s_H_rows[];\n", ldpcArrayName);

+    fprintf(f,"extern const uint16_t %s_H_cols[];\n", ldpcArrayName);

+

+    fclose(f);

+

+

+    % Then, the C file

+    f = fopen(sourceFileName, "wt");

+    printHeader(f, sourceFileName, ldpcArrayName, mfilename());

+    fprintf(f, "#include <stdint.h>\n");

+    fprintf(f, "#include \"%s\"\n", includeFileName);

+

+    % clock out 2D array to linear C array in row order ....

+    fprintf(f,"\nconst uint16_t %s_H_rows[] = {\n", ldpcArrayName);

+    [r c] = size(code_param.H_rows);

+    for j=1:c

+        for i=1:r

+            fprintf(f, "%d", code_param.H_rows(i,j));

+            if (i == r) && (j ==c)  % weird, this does nothing

+                fprintf(f,"\n};\n");

+            else

+                fprintf(f,", ");

+            end

+        end

+    end

+

+    fprintf(f,"\nconst uint16_t %s_H_cols[] = {\n", ldpcArrayName);

+    [r c] = size(code_param.H_cols);

+    for j=1:c

+        for i=1:r

+            fprintf(f, "%d", code_param.H_cols(i,j));

+            if (i == r) && (j == c)

+                fprintf(f,"\n};\n");

+            else

+                fprintf(f,", ");

+            end

+        end

+    end

+

+    fclose(f);

+endfunction

+

+function printHeader(f, includeFileName, ldpcArrayName, mFilename)

+    fprintf(f, "/*\n  FILE....: %s\n\n", includeFileName);

+    fprintf(f, "  Static arrays for LDPC codec %s, generated by %s.m.\n*/\n\n", ldpcArrayName, mFilename);

+endfunction

diff --git a/octave/ldpc_gen_h_file.m b/octave/ldpc_gen_h_file.m
new file mode 100644
index 0000000..edda815
--- /dev/null
+++ b/octave/ldpc_gen_h_file.m
@@ -0,0 +1,72 @@
+% ldpc_gen_h_file.m
+% David Rowe Sep 2015
+%
+% Create a C include file for use in mpdecode.c C cmd line LDPC decoder
+
+function ldpc_gen_h_file(code_param, max_iterations, decoder_type, input_decoder_c, x_hat, detected_data)
+       
+  f = fopen(code_param.c_include_file, "wt");
+
+  fprintf(f, "/*\n  FILE....: %s\n\n  Static arrays for LDPC codec, generated", code_param.c_include_file);
+  fprintf(f, "\n  ldpc_gen_h_file.m.\n\n*/\n\n");
+   
+  fprintf(f,"#define NUMBERPARITYBITS %d\n", rows(code_param.H_rows));
+  fprintf(f,"#define MAX_ROW_WEIGHT %d\n", columns(code_param.H_rows));
+  fprintf(f,"#define CODELENGTH %d\n", code_param.symbols_per_frame);
+  fprintf(f,"#define NUMBERROWSHCOLS %d\n", rows(code_param.H_cols));
+  fprintf(f,"#define MAX_COL_WEIGHT %d\n", columns(code_param.H_cols));
+  fprintf(f,"#define DEC_TYPE %d\n", decoder_type);
+  fprintf(f,"#define MAX_ITER %d\n", max_iterations);
+
+  fprintf(f,"\ndouble H_rows[] = {\n");
+     
+  % clock out 2D array to linear C array in row order ....
+
+  [r c] = size(code_param.H_rows);
+  for j=1:c
+    for i=1:r
+      fprintf(f, "%d", code_param.H_rows(i,j));
+      if (i == r) && (j ==c)
+        fprintf(f,"\n};\n");
+      else
+        fprintf(f,", ");
+      end
+    end
+  end
+
+  fprintf(f,"\ndouble H_cols[] = {\n");
+  [r c] = size(code_param.H_cols);
+  for j=1:c
+    for i=1:r
+      fprintf(f, "%d", code_param.H_cols(i,j));
+      if (i == r) && (j == c)
+        fprintf(f,"\n};\n");
+      else
+        fprintf(f,", ");
+      end
+    end
+  end
+
+  fprintf(f,"\ndouble input[] = {\n");
+  for i=1:length(input_decoder_c)
+    fprintf(f, "%.17g", input_decoder_c(i));
+    if i == length(input_decoder_c)
+      fprintf(f,"\n};\n");
+    else
+      fprintf(f,", ");            
+    end
+  end
+
+  fprintf(f,"\nchar detected_data[] = {\n");
+  for i=1:length(detected_data)
+    fprintf(f, "%d", detected_data(i));
+    if i == length(detected_data)
+      fprintf(f,"\n};\n");
+    else
+      fprintf(f,", ");            
+    end
+  end
+
+  fclose(f);
+end
+
diff --git a/octave/ldpcut.m b/octave/ldpcut.m
new file mode 100644
index 0000000..4e8287a
--- /dev/null
+++ b/octave/ldpcut.m
@@ -0,0 +1,288 @@
+% ldpcut.m
+%
+% David Rowe 18 Dec 2013
+%
+% Octave LDPC unit test script using CML library, based on simulation
+% by Bill Cowley VK5DSP
+
+% Libraries we need
+
+ldpc;
+qpsk;
+
+function sim_out = run_simulation(sim_in)
+
+  % Note this is effective Eb/No of payload data bits, sorta thing we
+  % plot on BER versus Eb/No graphs of decoded data.  So if we have a
+  % rate 1/2 code, each codeword bit will have Eb/No - 3dB.
+
+  EbNodBvec = sim_in.EbNodBvec;
+
+  Ntrials = sim_in.Ntrials;
+  verbose = sim_in.verbose;
+
+  % Init LDPC code ------------------------------------
+
+  mod_order = 4; bps = 2;
+  modulation = 'QPSK';
+  mapping = 'gray';
+
+  demod_type = 0;
+  decoder_type = 0;
+  max_iterations = 100;
+
+  if strcmp(sim_in.code,'wimax')
+    rate = 0.5; framesize = 576*4;
+    code_param = ldpc_init_builtin(sim_in.code, rate, framesize, modulation, mod_order, mapping);
+  elseif strcmp(sim_in.code,'dvbs2')
+    framesize = 16200; rate = 0.8;
+    code_param = ldpc_init_builtin(sim_in.code, rate, framesize, modulation, mod_order, mapping);
+    rate = code_param.ldpc_data_bits_per_frame/code_param.ldpc_coded_bits_per_frame;
+  else
+    % deal with H stored in different file formats
+    tempStruct = load(sim_in.code);
+    b = fieldnames(tempStruct);
+    ldpcArrayName = b{1,1};
+    % extract the array from the struct
+    HRA = tempStruct.(ldpcArrayName);
+    [code_param framesize rate] = ldpc_init_user(HRA, modulation, mod_order, mapping);
+  end
+
+  % optional 1's stuffing 
+  if isfield(sim_in, "data_bits_per_frame")
+    code_param.data_bits_per_frame = sim_in.data_bits_per_frame;
+    code_param.coded_bits_per_frame = code_param.data_bits_per_frame + code_param.ldpc_parity_bits_per_frame;
+    code_param.coded_syms_per_frame = code_param.coded_bits_per_frame/code_param.bits_per_symbol;
+    rate = code_param.data_bits_per_frame/code_param.coded_bits_per_frame;
+    printf("data_bits_per_frame = %d\n", code_param.data_bits_per_frame);
+    printf("coded_bits_per_frame = %d\n", code_param.coded_bits_per_frame);
+    printf("coded_syms_per_frame = %d\n", code_param.coded_syms_per_frame);
+    printf("rate: %f\n",rate);
+  end
+
+  % ----------------------------------
+  % run simulation at each Eb/No point
+  % ----------------------------------
+
+  for ne = 1:length(EbNodBvec)
+    randn('seed',1);
+    rand('seed',1);
+
+    % Given Eb/No of payload data bits, work out Es/No we need to
+    % apply to each channel symbol:
+    %
+    % i) Each codeword bit gets noise: Eb/No - 3 (for a rate 1/2 code)
+    % ii) QPSK means two bits/symbol.: Es/No = Eb/No + 3
+    %
+    % -> which neatly cancel out ...... (at least for rate 1/2)
+
+    EsNodB = EbNodBvec(ne) + 10*log10(rate) + 10*log10(bps);
+    EsNo = 10^(EsNodB/10);
+    variance = 1/EsNo;
+
+    Tbits = Terrs = Ferrs = Terrs_raw = Tbits_raw = 0;
+
+    tx_bits = [];
+    tx_symbols = [];
+
+    % Encode a bunch of frames
+
+    for nn=1:Ntrials
+      atx_bits = round(rand( 1, code_param.data_bits_per_frame));
+      tx_bits = [tx_bits atx_bits];
+      [tx_codeword atx_symbols] = ldpc_enc(atx_bits, code_param);
+      tx_symbols = [tx_symbols atx_symbols];
+    end
+
+    rx_symbols = tx_symbols;
+
+    % Add AWGN noise, 0.5 factor splits power evenly between Re & Im
+
+    noise = sqrt(variance*0.5)*(randn(1,length(tx_symbols)) + j*randn(1,length(tx_symbols)));
+    rx_symbols += noise;
+
+    % Decode a bunch of frames
+
+    rx_bits_log = [];
+
+    for nn = 1: Ntrials
+      st = (nn-1)*code_param.coded_syms_per_frame + 1;
+      en = (nn)*code_param.coded_syms_per_frame;
+
+      % coded
+
+      arx_codeword = ldpc_dec(code_param, max_iterations, demod_type, decoder_type, rx_symbols(st:en), EsNo, ones(1,code_param.coded_syms_per_frame));
+      st = (nn-1)*code_param.data_bits_per_frame + 1;
+      en = (nn)*code_param.data_bits_per_frame;
+      error_positions = xor(arx_codeword(1:code_param.data_bits_per_frame), tx_bits(st:en));
+      Nerrs = sum(error_positions);
+      rx_bits_log = [rx_bits_log arx_codeword(1:code_param.data_bits_per_frame)];
+
+      % uncoded - to est raw BER compare data symbols as code is systematic
+
+      raw_rx_bits = [];
+      for s=1:code_param.coded_syms_per_frame*rate
+        sym_st = (nn-1)*code_param.coded_syms_per_frame + 1;
+        raw_rx_bits = [raw_rx_bits qpsk_demod(rx_symbols(sym_st+s-1))];
+      end
+      Nerrs_raw = sum(xor(raw_rx_bits, tx_bits(st:en)));
+      Nbits_raw = code_param.data_bits_per_frame;
+
+      if verbose == 2
+        % print "." if frame decoded without errors, 'x' if we can't decode
+
+        if Nerrs > 0, printf('x'),  else printf('.'),  end
+      end
+
+      if Nerrs > 0,  Ferrs = Ferrs + 1;  end
+      Terrs     += Nerrs;
+      Tbits     += code_param.ldpc_data_bits_per_frame;
+      Terrs_raw += Nerrs_raw;
+      Tbits_raw += Nbits_raw;
+    end
+
+    if verbose
+      printf("\nCoded EbNodB: % 5.2f BER: %4.3f Tbits: %6d Terrs: %6d FER: %4.3f Tframes: %d Ferrs: %d\n",
+             EbNodBvec(ne), Terrs/Tbits, Tbits, Terrs,  Ferrs/Ntrials, Ntrials, Ferrs);
+      EbNodB_raw = EbNodBvec(ne) + 10*log10(rate);
+      printf("Raw EbNodB..: % 5.2f BER: %4.3f Tbits: %6d Terrs: %6d\n",
+             EbNodB_raw, Terrs_raw/Tbits_raw, Tbits_raw, Terrs_raw);
+    end
+
+    sim_out.rate = rate;
+    sim_out.BER(ne)   = Terrs/Tbits;
+    sim_out.PER(ne)   = Ferrs/Ntrials;
+  end
+
+endfunction
+
+
+% ---------------------------------------------------------------------------------
+% 1/ Simplest possible one frame simulation
+% ---------------------------------------------------------------------------------
+
+function test1_single(code="wimax", data_bits_per_frame)
+  printf("\nTest 1:Single -----------------------------------\n");
+
+  mod_order = 4;
+  modulation = 'QPSK';
+  mapping = 'gray';
+  demod_type = 0;
+  decoder_type = 0;
+  max_iterations = 100;
+
+  % CML library has a bunch of different framesizes available
+  if strcmp(code,'wimax') framesize = 576*2; rate = 0.5; end
+  if strcmp(code,'dvbs2') framesize = 16200; rate = 0.6; end
+  code_param = ldpc_init_builtin(code, rate, framesize, modulation, mod_order, mapping);
+    
+  % optional 1's stuffing 
+  if nargin == 2
+    code_param.data_bits_per_frame = data_bits_per_frame;
+    code_param.coded_bits_per_frame = code_param.data_bits_per_frame + code_param.ldpc_parity_bits_per_frame;
+    code_param.coded_syms_per_frame = code_param.coded_bits_per_frame/code_param.bits_per_symbol;
+    framesize = code_param.coded_bits_per_frame;
+  end
+  
+  % find out what rate we actually obtained ...
+  rate = code_param.data_bits_per_frame/code_param.coded_bits_per_frame;
+  printf("Ndata_bits: %d Nparity_bits: %d Ncodeword_bits: %d rate: %3.2f\n",
+         code_param.data_bits_per_frame, code_param.ldpc_parity_bits_per_frame, 
+         code_param.coded_bits_per_frame, rate);
+
+  % decoder needs an estimated channel EsNo (linear ratio, not dB)
+  EsNo = 10;
+
+  tx_bits = round(rand(1, code_param.data_bits_per_frame));
+  [tx_codeword, qpsk_symbols] = ldpc_enc(tx_bits, code_param);
+  rx_codeword = ldpc_dec(code_param, max_iterations, demod_type, decoder_type, qpsk_symbols, EsNo, ones(1,length(qpsk_symbols)));
+
+  errors_positions = xor(tx_bits, rx_codeword(1:framesize*rate));
+  Nerr = sum(errors_positions);
+  printf("Nerr: %d\n", Nerr);
+endfunction
+
+
+% ---------------------------------------------------------------------------------
+% 2/ Run a bunch of trials at just one EsNo point
+% ---------------------------------------------------------------------------------
+
+function test2_multiple(code, Ntrials=100, data_bits_per_frame)
+  printf("\nTest 2: Multiple: %s ----------------------------\n", code);
+
+  % these are inputs for Wimax mode, e.g. framesize defines code used
+
+  sim_in.code = code;
+  sim_in.verbose = 2;
+  sim_in.Ntrials = Ntrials;
+  sim_in.EbNodBvec = 3;
+  if nargin == 3
+    sim_in.data_bits_per_frame = data_bits_per_frame;
+  end
+  run_simulation(sim_in);
+end
+
+
+% ---------------------------------------------------------------------------------
+% 3/ Lets draw some Eb/No versus BER curves
+% ---------------------------------------------------------------------------------
+
+function test3_curves(code,fg=1,Ntrials=100)
+  printf("\nTest 3: Curves: %s -------------------------------------\n", code);
+
+  sim_in.code = code;
+  sim_in.verbose = 2;
+  sim_in.Ntrials = Ntrials;
+  sim_in.EbNodBvec = -2:10;
+  sim_out = run_simulation(sim_in);
+
+  EbNodB = sim_in.EbNodBvec;
+  uncoded_awgn_ber_theory = 0.5*erfc(sqrt(10.^(EbNodB/10)));
+
+  figure(fg); clf; title(code);
+  semilogy(EbNodB, uncoded_awgn_ber_theory,'r-+;AWGN;')
+  hold on;
+  semilogy(EbNodB, sim_out.BER+1E-10,'g-+;AWGN LDPC;');
+  hold off;
+  grid('minor')
+  xlabel('Eb/No (dB)')
+  ylabel('BER')
+  axis([min(EbNodB) max(EbNodB) 1E-3 1])
+  legend('boxoff');
+end
+
+
+% --------------------------------------------------------------------------------
+% START SIMULATIONS
+% --------------------------------------------------------------------------------
+
+more off;
+format;
+
+% ---------------------------------------------------------------------------------
+% Start CML library (see CML set up instructions in ldpc.m)
+% ---------------------------------------------------------------------------------
+
+init_cml();
+
+% Ctest kicks off these tests using env variables
+if getenv("CTEST_SINGLE")
+  test1_single
+  return;
+end
+if getenv("CTEST_ONE_STUFFING")
+  test2_multiple("wimax",10,576);
+  return;
+end
+
+% Uncomment and try some of these tests if you like ....
+%test3_curves("H_1024_2048_4f.mat",1)
+%test1_single("dvbs2")
+%test3_curves("dvbs2",1,10)
+%test2_multiple("wimax")
+%test2_multiple("H2064_516_sparse.mat")
+%test3_curves("wimax",1)
+%test3_curves("H2064_516_sparse.mat",2)
+%test3_curves("H_256_768_22.txt",2)
+%test3_curves("H_4096_8192_3d.mat")
+%test3_curves("H_212_158.mat")
diff --git a/octave/linreg.m b/octave/linreg.m
new file mode 100644
index 0000000..666b65c
--- /dev/null
+++ b/octave/linreg.m
@@ -0,0 +1,35 @@
+% linreg.m
+% David Rowe April 2015
+%
+% Based on:
+%    http://stackoverflow.com/questions/5083465/fast-efficient-least-squares-fit-algorithm-in-c
+%
+% finds y = mx + b to best fit n points x and y
+
+function [m b] = linreg(x,y,n)
+  sumx = 0.0;   % sum of x
+  sumx2 = 0.0;  % sum of x^2
+  sumxy = 0.0;  % sum of x * y
+  sumy = 0.0;   % sum of y
+  sumy2 = 0.0;  % sum of y**2
+
+  for i=1:n   
+    sumx  += x(i);       
+    sumx2 += x(i)^2;  
+    sumxy += x(i) * y(i);
+    sumy  += y(i);      
+    sumy2 += y(i)^2; 
+  end 
+
+  denom = (n * sumx2 - sumx*sumx);
+
+  if denom == 0
+    % singular matrix. can't solve the problem.
+    m = 0;
+    b = 0;
+  else
+    m = (n * sumxy  -  sumx * sumy) / denom;
+    b = (sumy * sumx2  -  sumx * sumxy) / denom;
+  end
+
+endfunction
diff --git a/octave/load_comp.m b/octave/load_comp.m
new file mode 100644
index 0000000..b9fa686
--- /dev/null
+++ b/octave/load_comp.m
@@ -0,0 +1,9 @@
+% load_comp.m
+% David Rowe Sep 2015
+
+function s = load_comp(fn)
+  fs=fopen(fn,"rb");
+  s = fread(fs,Inf,"float32");
+  ls = length(s);
+  s = s(1:2:ls) + j*s(2:2:ls);
+endfunction
diff --git a/octave/load_f32.m b/octave/load_f32.m
new file mode 100644
index 0000000..df76c8b
--- /dev/null
+++ b/octave/load_f32.m
@@ -0,0 +1,14 @@
+% load_f32.m
+% David Rowe Jan 2019
+%
+% load up .f32 binary files from dump_data
+
+function features = load_f32(fn, ncols)
+  f=fopen(fn,"rb");
+  features_lin=fread(f, 'float32');
+  fclose(f);
+  
+  nrows = length(features_lin)/ncols;
+  features = reshape(features_lin, ncols, nrows);
+  features = features';
+endfunction
diff --git a/octave/load_hackrf.m b/octave/load_hackrf.m
new file mode 100644
index 0000000..85bfb73
--- /dev/null
+++ b/octave/load_hackrf.m
@@ -0,0 +1,11 @@
+% load_hackrf.m
+%
+% David Rowe Oct 2015
+
+function s = load_hackrf(fn)
+  fs = fopen(fn,"rb");
+  iq = fread(fs,Inf,"schar");
+  fclose(fs);
+  l = length(iq);
+  s =  iq(1:2:l) + j*iq(2:2:l);
+endfunction
diff --git a/octave/load_raw.m b/octave/load_raw.m
new file mode 100644
index 0000000..68fe155
--- /dev/null
+++ b/octave/load_raw.m
@@ -0,0 +1,8 @@
+% load_raw.m
+% David Rowe 7 Oct 2009
+
+function s = load_raw(fn, len=Inf)
+  fs=fopen(fn,"rb");
+  s = fread(fs,len,"short");
+  fclose(fs);
+endfunction
diff --git a/octave/load_rtlsdr.m b/octave/load_rtlsdr.m
new file mode 100644
index 0000000..946cfb2
--- /dev/null
+++ b/octave/load_rtlsdr.m
@@ -0,0 +1,11 @@
+% load_rtlsdr.m
+%
+% David Rowe Oct 2015
+
+function s = load_rtlsdr(fn)
+  fs = fopen(fn,"rb");
+  iq = fread(fs,Inf,"uchar");
+  fclose(fs);
+  l = length(iq);
+  s =  iq(1:2:l) + j*iq(2:2:l);
+endfunction
diff --git a/octave/mag_to_phase.m b/octave/mag_to_phase.m
new file mode 100644
index 0000000..60ccbfd
--- /dev/null
+++ b/octave/mag_to_phase.m
@@ -0,0 +1,62 @@
+% mag_to_phase.m
+% 
+% David Rowe Sep 2015
+%
+% Slightly modified version of http://www.dsprelated.com/showcode/20.php
+%
+% Given a magnitude spectrum in dB, returns a minimum-phase phase
+% spectra.  Both must be sampled at a Nfft. My understanding of this
+% is rather dim, but a working example is good place to start!
+
+
+function [phase s] = mag_to_phase(Gdbfk, Nfft = 512, verbose_en = 0)
+
+  Ns = length(Gdbfk); if Ns~=Nfft/2+1, error("confusion"); end
+  Sdb = [Gdbfk,Gdbfk(Ns-1:-1:2)]; % install negative-frequencies
+
+  S = 10 .^ (Sdb/20); % convert to linear magnitude
+  s = ifft(S);        % desired impulse response
+  s = real(s);        % any imaginary part is quantization noise
+  tlerr = 100*norm(s(round(0.9*Ns:1.1*Ns)))/norm(s);
+  if verbose_en
+    disp(sprintf(['  Time-limitedness check: Outer 20%% of impulse ' ...
+               'response is %0.2f %% of total rms'],tlerr));
+  end
+  % = 0.02 percent
+
+  if verbose_en
+    if tlerr>1.0 % arbitrarily set 1% as the upper limit allowed
+      disp('  Increase Nfft and/or smooth Sdb\n');
+    end
+  end
+
+  c = ifft(Sdb); % compute real cepstrum from log magnitude spectrum
+ 
+  % Check aliasing of cepstrum (in theory there is always some):
+
+  caliaserr = 100*norm(c(round(Ns*0.9:Ns*1.1)))/norm(c);
+  if verbose_en
+    disp(sprintf(['  Cepstral time-aliasing check: Outer 20%% of ' ...
+                 'cepstrum holds %0.2f %% of total rms\n'],caliaserr));
+  end
+
+  if verbose_en
+    if caliaserr>1.0 % arbitrary limit
+      disp('  Increase Nfft and/or smooth Sdb to shorten cepstrum\n');
+    end
+  end
+
+  % Fold cepstrum to reflect non-min-phase zeros inside unit circle:
+
+  cf = [c(1), c(2:Ns-1)+c(Nfft:-1:Ns+1), c(Ns), zeros(1,Nfft-Ns)];
+
+  Cf = fft(cf); % = dB_magnitude + j * minimum_phase
+
+  % The maths says we are meant to be using log(x), not 20*log10(x),
+  % so we need to scale the phase to account for this:
+  % log(x) = 20*log10(x)/scale;
+
+  scale = (20/log(10));
+  phase = imag(Cf)/scale;
+endfunction
+
diff --git a/octave/make_hilb.m b/octave/make_hilb.m
new file mode 100644
index 0000000..6c6323c
--- /dev/null
+++ b/octave/make_hilb.m
@@ -0,0 +1,60 @@
+% make_hilb.m
+% David Rowe May 2015
+%
+% creates Hilber Transformer FIR coeffs
+
+graphics_toolkit ("gnuplot");
+
+% from https://www.dsprelated.com/freebooks/sasp/Hilbert_Transform_Design_Example.html
+
+M = 257;    % window length = FIR filter length (Window Method)
+fs = 8000;  % sampling rate assumed (Hz)
+f1 = 100;   % lower pass-band limit = transition bandwidth (Hz)
+beta = 8;   % beta for Kaiser window for decent side-lobe rejection
+fn = fs/2;             % Nyquist limit (Hz)
+f2 = fn - f1;          % upper pass-band limit
+N = 2^(nextpow2(8*M)); % large FFT for interpolated display
+k1 = round(N*f1/fs);   % lower band edge in bins
+if k1<2, k1=2; end;    % cannot have dc or fn response
+kn = N/2 + 1;          % bin index at Nyquist limit (1-based)
+k2 = kn-k1+1;          % high-frequency band edge
+f1 = k1*fs/N           % quantized band-edge frequencies
+f2 = k2*fs/N
+w = kaiser(M,beta)'; % Kaiser window in "linear phase form"
+H = [ ([0:k1-2]/(k1-1)).^8,ones(1,k2-k1+1),...
+    ([k1-2:-1:0]/(k1-1)).^8, zeros(1,N/2-1)];
+h = ifft(H);               % desired impulse response
+hodd = imag(h(1:2:N));     % This should be zero
+
+% put window in zero-phase form:
+wzp = [w((M+1)/2:M), zeros(1,N-M), w(1:(M-1)/2)];
+hw = wzp .* h;             % single-sideband FIR filter, zero-centered
+Hw = fft(hw);
+hh = [hw(N-(M-1)/2+1:N),hw(1:(M+1)/2)]; % causal FIR
+hh *= 2;
+
+figure(1);
+HH = fft([hh,zeros(1,N-M)]);
+plot(20*log10(abs(HH)));
+figure(2);
+subplot(211); plot(real(hh)); title('real imp resp');
+subplot(212); plot(imag(hh)); title('imag imp resp');
+
+% save coeffs to a C header file
+
+f=fopen("../src/ht_coeff.h","wt");
+fprintf(f,"/* Hilbert Transform FIR filter coeffs */\n");
+fprintf(f,"/* Generated by make_hilb Octave script */\n");
+
+fprintf(f,"\n#define HT_N %d\n\n", M);
+
+fprintf(f,"COMP ht_coeff[]={\n");
+for r=1:M
+  if r < M
+    fprintf(f, "  {%f,%f},\n",  real(hh(r)), imag(hh(r)));
+  else
+    fprintf(f, "  {%f,%f}\n};", real(hh(r)), imag(hh(r)));
+  end
+end
+
+fclose(f);
diff --git a/octave/make_ssbfilt.m b/octave/make_ssbfilt.m
new file mode 100644
index 0000000..bcd00f1
--- /dev/null
+++ b/octave/make_ssbfilt.m
@@ -0,0 +1,39 @@
+% make_ssbfilt.m
+% David Rowe May 2015
+%
+% Creates low pass filter coeff used to implement a SSB filter in ch
+
+graphics_toolkit ("gnuplot");
+
+ssbfilt_n = 100;
+ssbfilt_bw = 2400;
+ssbfilt_centre = 1500;
+Fs = 8000;
+
+ssbfilt_coeff  = sbfilt_coeff = fir1(ssbfilt_n, ssbfilt_bw/Fs);
+
+figure(1)
+clf;
+h = freqz(ssbfilt_coeff,1,Fs/2);
+plot(20*log10(abs(h)))
+grid minor
+
+% save coeffs to a C header file
+
+f=fopen("../src/ssbfilt_coeff.h","wt");
+fprintf(f,"/* %d Hz LPF FIR filter coeffs */\n", ssbfilt_bw);
+fprintf(f,"/* Generated by make_ssbfilt Octave script */\n");
+
+fprintf(f,"\n#define SSBFILT_N %d\n\n", ssbfilt_n);
+fprintf(f,"\n#define SSBFILT_CENTRE %d\n\n", ssbfilt_centre);
+
+fprintf(f,"float ssbfilt_coeff[]={\n");
+for r=1:ssbfilt_n
+  if r < ssbfilt_n
+    fprintf(f, "  %f,\n",  ssbfilt_coeff(r));
+  else
+    fprintf(f, "  %f\n};", ssbfilt_coeff(r));
+  end
+end
+
+fclose(f);
diff --git a/octave/mancyfsk.m b/octave/mancyfsk.m
new file mode 100644
index 0000000..1ee24ef
--- /dev/null
+++ b/octave/mancyfsk.m
@@ -0,0 +1,500 @@
+% mancyfsk.m
+% David Rowe October 2015
+%
+% Manchester encoded 2FSK & 4FSK simulation.
+%
+% Attempt to design a FSK waveform that can pass through legacy FM
+% radios but still be optimally demodulated by SDRs. It doesn't have
+% to be optimally demodulated by legacy radios.  Trick is getting it
+% to pass through 300-3000Hz audio filters in legacy radios.
+%
+% [X] code up modulator
+%     [X] manchester two bit symbols
+%     [X] plot spectrum
+% [X] demodulate using analog FM and ideal demods
+% [X] measure BER compared to ideal coherent FSK
+
+1;
+
+fm; % analog FM library
+
+
+function states = legacyfsk_init(M,Rs)
+  Fs = states.Fs = 96000;
+  states.Rs = Rs;                              % symbol rate over channel
+  Ts = states.Ts = Fs/Rs;                      % symbol period in samples
+  states.M  = M;                               % mFSK, either 2 or 4
+  bpsym = state.Rb  = log2(M);                 % bits per symbol over channel
+  rate = states.rate = 0.5;                    % Manchester code rate
+  nbits = 100;
+  nbits = states.nbits = 100;                  % number of payload data symbols/frame
+  nbits2 = states.nbits2 = nbits/rate;         % number of symbols/frame over channel after manchester encoding
+  nsym  = states.nsym = nbits2/log2(M);        % number of symbols per frame
+  nsam = states.nsam = nsym*Ts;
+
+  %printf("  Rs: %d M: %d bpsym: %d nbits: %d nbits2: %d nsym: %d nsam: %d\n", Rs, M, bpsym, nbits, nbits2, nsym, nsam);
+
+  states.fc = states.Fs/4;
+  if states.M == 2
+    states.f(1) = states.fc - Rs/2;
+    states.f(2) = states.fc + Rs/2;
+  else
+    states.f(1) = states.fc - 3*Rs/2;
+    states.f(2) = states.fc - Rs/2;
+    states.f(3) = states.fc + Rs/2;
+    states.f(4) = states.fc + 3*Rs/2;   
+  end
+endfunction
+
+
+% test modulator function
+
+function tx = legacyfsk_mod(states, tx_bits)
+    Fs = states.Fs;
+    Ts = states.Ts;
+    Rs = states.Rs;
+    f  = states.f;
+    M  = states.M;
+    nsym = states.nsym;
+
+    tx = zeros(Ts*length(tx_bits)/log2(M),1);
+    tx_phase = 0;
+
+    step = log2(M);
+    k = 1;
+    for i=1:step:length(tx_bits)
+      if M == 2
+        tone = tx_bits(i) + 1;
+      else
+        tone = (tx_bits(i:i+1) * [2 1]') + 1;
+      end
+      tx_phase_vec = tx_phase + (1:Ts)*2*pi*f(tone)/Fs;
+      tx((k-1)*Ts+1:k*Ts) = 2.0*cos(tx_phase_vec); k++;
+      tx_phase = tx_phase_vec(Ts) - floor(tx_phase_vec(Ts)/(2*pi))*2*pi;
+    end
+   
+endfunction
+
+
+function run_sim(sim_in)
+
+  frames = sim_in.frames;
+  test_frame_mode = sim_in.test_frame_mode;
+  M = sim_in.M;
+  Rs =  sim_in.Rs;
+  demod = sim_in.demod;
+  EbNodB = sim_in.EbNodB;
+  timing_offset = sim_in.timing_offset;
+
+  % rx timing has been adjusted experimentally
+
+  if Rs == 4800
+    if demod == 1
+      rx_timing = 4;
+    else
+      rx_timing = 0;
+    end
+  end
+  if Rs == 2400
+    if demod == 1
+      rx_timing = 40;
+    else
+      rx_timing = 0;
+    end
+  end
+
+  % init fsk modem
+
+  more off
+  rand('state',1); 
+  randn('state',1);
+  states = legacyfsk_init(M,Rs);
+  Fs = states.Fs;
+  nbits = states.nbits;
+  nbits2 = states.nbits2;
+  Ts = states.Ts;
+  nsam = states.nsam;
+  rate = states.rate;
+
+  % init analog FM modem
+
+  fm_states.Fs = Fs;  
+  fm_max = fm_states.fm_max = 3E3;
+  fd = fm_states.fd = 5E3;
+  fm_states.fc = states.fc;
+
+  fm_states.pre_emp = 0;
+  fm_states.de_emp  = 1;
+  fm_states.Ts = 1;
+  fm_states.output_filter = 1;
+  fm_states = analog_fm_init(fm_states);
+  [b, a] = cheby1(4, 1, 300/Fs, 'high');   % 300Hz HPF to simulate FM radios
+
+  % init sim states
+
+  rx_bits_buf = zeros(1,2*nbits2);
+  Terrs = Tbits = 0;
+  state = 0;
+  nerr_log = [];
+
+  % set up the channel noise.  We have log(M)*rate payload bits/symbol
+  % we have log2(M) bits/symbol, and rate bits per payload symbol 
+  % TODO: explain this better as Im confused!
+  
+  EbNo = 10^(EbNodB/10);
+  EsNo = EbNo*rate*log2(M);               
+  variance = states.Fs/((states.Rs)*EsNo);  
+  %printf("EbNodB: %3.1f EbNo: %3.2f EsNo: %3.2f\n", EbNodB, EbNo, EsNo);
+
+  % set up the input bits
+
+  if test_frame_mode == 1
+    % test frame of bits, which we repeat for convenience when BER testing
+    test_frame = round(rand(1, nbits));
+    tx_bits = [];
+    for i=1:frames+1
+      tx_bits = [tx_bits test_frame];
+    end
+  end
+  if test_frame_mode == 2
+    % random bits, just to make sure sync algs work on random data
+    tx_bits = round(rand(1, nbits*(frames+1)));
+  end
+  if test_frame_mode == 3
+    % ...10101... sequence
+    tx_bits = zeros(1, nbits*(frames+1));
+    tx_bits(1:2:length(tx_bits)) = 1;
+  end
+
+  % Manchester Encoding -----------------------------------------------------------
+
+  % Manchester encoding, which removes DC term in baseband signal,
+  % making the waveform friendly to old-school legacy FM radios with
+  % voiceband filtering.  The "code rate" is 0.5, which means we have
+  % encode one input bit into 2 output bits.  The 2FSK encoder takes
+  % one input bit, the 4FSK encoder two input bits.
+
+  tx_bits_encoded = zeros(1,length(tx_bits)*2);
+  fsk2_enc = [[1 0]; [0 1]];
+  %           -1.5 1.5    1.5 -1.5  -0.5 0.5    0.5 -0.5
+  %              0   3      3   0      1   2      2   1
+  fsk4_enc = [[0 0 1 1]; [1 1 0 0]; [0 1 1 0]; [1 0 0 1]];
+  k=1;
+  if M == 2
+    for i=1:2:length(tx_bits_encoded)
+      input_bit = tx_bits(k); k++;
+      tx_bits_encoded(i:i+1) = fsk2_enc(input_bit+1,:);
+    end
+  else
+    for i=1:4:length(tx_bits_encoded)
+      input_bits = tx_bits(k:k+1) * [2 1]'; k+=2;
+      tx_bits_encoded(i:i+3) = fsk4_enc(input_bits+1,:);
+    end
+  end
+  
+  % FSK Modulator --------------------------------------------------------------
+
+  % use ideal FSK modulator (note: need to try using analog FM modulator)
+
+  tx = legacyfsk_mod(states, tx_bits_encoded);
+  noise = sqrt(variance)*randn(length(tx),1);
+  rx    = tx + noise;
+  timing_offset_samples = round(timing_offset*Ts);
+  rx = [zeros(timing_offset_samples,1); rx];
+
+  % Demodulator ----------------------------------------------------------------------------
+
+  if demod == 1
+    % use analog FM demodulator, aka a $40 Baofeng
+
+    [rx_out rx_bb] = analog_fm_demod(fm_states, rx');
+    if sim_in.hpf
+      rx_out_hp = filter(b,a,rx_out);
+    else
+      rx_out_hp = rx_out;
+    end
+    rx_filt = filter(ones(1,Ts),1,rx_out_hp);
+    rx_timing_sig = rx_filt;
+
+    % TODO: for 4FSK determine amplitude/decn boundaries, choose closest to demod each symbol
+
+  end
+
+  if demod == 2
+
+    % optimal non-coherent demod at Rs
+
+    rx_timing_sig = zeros(1,length(rx));
+    for m=1:M
+      phi_vec = (1:length(rx))*2*pi*states.f(m)/Fs;
+      dc = rx' .* exp(-j*phi_vec);
+      rx_filt(m,:) = abs(filter(ones(1,Ts),1,dc));
+      rx_timing_sig = rx_timing_sig + rx_filt(m,1:length(rx));
+    end 
+  end
+
+  % Fine timing estimation ------------------------------------------------------
+
+  % Estimate fine timing using line at Rs/2 that Manchester encoding provides
+  % We need this to sync up to Manchester codewords.  TODO plot signal and 
+  % timing "line" we extract
+  
+  Np = length(rx_timing_sig);
+  w = 2*pi*(Rs)/Fs;
+  x = (rx_timing_sig .^ 2) * exp(-j*w*(0:Np-1))';
+  norm_rx_timing = angle(x)/(2*pi) - 0.42;
+  %rx_timing = round(norm_rx_timing*Ts);
+  %printf("norm_rx_timing: %4.4f rx_timing: %d\n", norm_rx_timing,  rx_timing);
+
+  % Max likelihood decoding of Manchester encoded symbols.  Search
+  % through all ML possibilities to extract bits.  Use energy (filter
+  % output sq)
+
+  % Manchester Decoding --------------------------------------------------------
+
+  if M == 2
+    if demod == 1
+
+      % sample at optimum instant
+
+      [tmp l] = size(rx_filt);
+      rx_filt_dec = rx_filt(:, Ts+rx_timing:Ts:l);
+
+      [tmp l] = size(rx_filt_dec);
+      rx_bits = zeros(1,l);
+      k = 1;
+      for i=1:2:l-1
+        ml = [rx_filt_dec(i)-rx_filt_dec(i+1) -rx_filt_dec(i)+rx_filt_dec(i+1)];
+        [mx mx_ind] = max(ml);
+        rx_bits(k) = mx_ind-1; k++;
+      end
+    end 
+
+    if demod == 2
+
+      % sample at optimum instant
+
+      [tmp l] = size(rx_filt);
+      rx_filt_dec = rx_filt(:, Ts+rx_timing:Ts:l);
+
+      [tmp l] = size(rx_filt_dec);
+      rx_bits = zeros(1,l);
+      k = 1;
+      for i=1:2:l-1
+        %ml = [rx_filt_dec(2,i)*rx_filt_dec(1,i+1) rx_filt_dec(1,i)*rx_filt_dec(2,i+1)];
+        ml = [rx_filt_dec(2,i)+rx_filt_dec(1,i+1) rx_filt_dec(1,i)+rx_filt_dec(2,i+1)];
+        [mx mx_ind] = max(ml);
+        rx_bits(k) = mx_ind-1; k++;
+      end
+    end 
+  else % M == 4
+    if demod == 1
+      % TODO: 4FSK version of demod
+      rx_bits=tx_bits;
+    end
+    if demod == 2
+      % sample at optimal instant
+
+     [tmp l] = size(rx_filt);
+     rx_filt_dec = rx_filt(:, Ts+rx_timing:Ts:l);
+     [tmp l] = size(rx_filt_dec);
+     rx_bits = zeros(1,l);
+
+     k = 1;
+      fsk4_dec = [[0 0]; [0 1]; [1 0]; [1 1]];
+      for i=1:2:l-1
+        %ml = [rx_filt_dec(1,i)*rx_filt_dec(4,i+1) rx_filt_dec(4,i)*rx_filt_dec(1,i+1) rx_filt_dec(2,i)*rx_filt_dec(3,i+1) rx_filt_dec(3,i)*rx_filt_dec(2,i+1)];
+        ml = [(rx_filt_dec(1,i)+rx_filt_dec(4,i+1)) (rx_filt_dec(4,i)+rx_filt_dec(1,i+1)) (rx_filt_dec(2,i)+rx_filt_dec(3,i+1)) (rx_filt_dec(3,i)+rx_filt_dec(2,i+1))];
+        [mx mx_ind] = max(ml);
+        rx_bits(k:k+1) = fsk4_dec(mx_ind,:); k+=2;
+      end
+    end 
+  end
+
+  % useful for getting decoding right
+  %tx_bits(1:20)
+  %rx_bits(1:20)
+
+  % Frame sync and BER logic  -------------------------------------------------------------
+
+  st = 1;
+  for f=1:frames
+
+    % extract nin bits
+
+    nin = nbits;
+    en = st + nin - 1;
+
+    rx_bits_buf(1:nbits) = rx_bits_buf(nbits+1:2*nbits);
+    rx_bits_buf(nbits+1:2*nbits) = rx_bits(st:en);
+
+    st += nin;
+
+    % frame sync based on min BER
+
+    if test_frame_mode == 1
+      nerrs_min = nbits;
+      next_state = state;
+      if state == 0
+        for i=1:nbits
+          error_positions = xor(rx_bits_buf(i:nbits+i-1), test_frame);
+          nerrs = sum(error_positions);
+          %printf("i: %d nerrs: %d nerrs_min: %d \n", i, nerrs, nerrs_min);
+          if nerrs < nerrs_min
+            nerrs_min = nerrs;
+            coarse_offset = i;
+          end
+        end
+        if nerrs_min < 3
+          next_state = 1;
+          %printf("%d %d\n", coarse_offset, nerrs_min);
+        end
+      end
+
+      if state == 1  
+        error_positions = xor(rx_bits_buf(coarse_offset:coarse_offset+nbits-1), test_frame);
+        nerrs = sum(error_positions);
+        Terrs += nerrs;
+        Tbits += nbits;
+        nerr_log = [nerr_log nerrs];
+      end
+
+      state = next_state;
+
+    end 
+  end
+
+  if test_frame_mode == 1
+    if sim_in.verbose
+      printf("  demod: %d frames: %d EbNodB: %3.1f Tbits: %d Terrs: %d BER %4.3f\n", demod, frames, EbNodB, Tbits, Terrs, Terrs/Tbits);
+    else
+      printf("  EbNodB: %3.1f BER %4.3f\n", EbNodB, Terrs/Tbits);
+    end
+  end
+
+  % Bunch O'plots --------------------------------------------------------------
+
+  close all;
+
+  st = 1; en=20;
+
+  Tx=fft(tx, Fs);
+  TxdB = 20*log10(abs(Tx(1:Fs/2)));
+  figure(1)
+  clf;
+  plot(TxdB)
+  axis([1 Fs/2 (max(TxdB)-100) max(TxdB)])
+  title('Tx Spectrum');
+
+  figure(2)
+  clf
+  if demod == 1
+    subplot(211)
+    plot(rx_filt(st*Ts:en*Ts));
+    title('After integrator');
+    subplot(212)
+    plot(rx_filt_dec(st:en),'+');
+    title('Decimated output');
+  end
+  if demod == 2
+    subplot(211);
+    plot(rx_filt(1,st*Ts:en*Ts));
+    hold on;
+    plot(rx_filt(2,st*Ts:en*Ts),'g');
+    if M == 4
+      plot(rx_filt(3,st*Ts:en*Ts),'c');
+      plot(rx_filt(4,st*Ts:en*Ts),'r');          
+    end
+    hold off;
+    title('Output of each filter');
+    subplot(212);
+    plot(rx_filt_dec(1,st:en),'+');
+    hold on;
+    plot(rx_filt_dec(2,st:en),'g+');
+    if M == 4
+      plot(rx_filt_dec(3,st:en),'c+');
+      plot(rx_filt_dec(4,st:en),'r+');          
+    end
+    hold off;
+    title('Decimated output of each filter');
+  end
+
+  figure(3)
+  clf;  
+  subplot(211)
+  plot(rx_timing_sig(st*Ts:en*Ts).^2)
+  title('rx-timing-sig')
+  subplot(212)
+  F = abs(fft(rx_timing_sig(1:Fs)));
+  plot(F(100:8000))
+  title('FFT of rx-timing-sig')
+
+  if demod == 1
+    figure(4);
+    clf;
+    h = fft(rx_out, Fs);
+    hdB = 20*log10(abs(h));
+    plot(hdB(1:4000))
+    title('Spectrum of baseband modem signal after analog FM demod');
+    axis([1 4000 (max(hdB)-40) max(hdB)])
+  end
+ 
+  if demod == 1
+    figure(5)
+    clf;
+    subplot(211)
+    plot(rx_out(st*Ts:en*Ts));
+    title('baseband modem signal after analog FM demod');
+    subplot(212)
+    plot(rx_out_hp(st*Ts:en*Ts));
+    title('baseband modem signal after 300Hz filter');
+  end
+end
+
+
+% Run various permutations of simulation here ---------------------------------------
+
+function run_single
+
+  sim_in.frames = 100;
+  sim_in.test_frame_mode = 1;
+  sim_in.M = 2;
+  sim_in.Rs = 2400;
+  sim_in.demod = 1;
+  sim_in.EbNodB = 15;
+  sim_in.timing_offset = 0.0;
+  sim_in.hpf = 1;
+  sim_in.verbose = 1;
+
+  run_sim(sim_in);
+endfunction
+
+
+function run_lots
+
+  % adjusted a few scenarios for about 2% BER so we can compare
+
+  sim_in.frames = 100;
+  sim_in.test_frame_mode = 1;
+  sim_in.M = 2;
+  sim_in.Rs = 4800;
+  sim_in.demod = 1;
+  sim_in.EbNodB = 12;
+  sim_in.timing_offset = 0.0;
+  sim_in.hpf = 1;
+  sim_in.verbose = 0;
+
+  printf("Rs=4800 2FSK ideal demod\n");
+    sim_in.EbNodB = 8.5; sim_in.demod = 2; run_sim(sim_in); 
+  printf("Rs=4800 2FSK analog FM demod, not too shabby and pushes 2400bit/s thru a $40 HT!\n");
+    sim_in.EbNodB = 12; sim_in.demod = 1; run_sim(sim_in); 
+  printf("Rs=2400 2FSK analog FM demod, needs more power for same BER!  Che?\n");
+    sim_in.Rs = 2400; sim_in.EbNodB = 15; run_sim(sim_in);
+  printf("Hmm, doesn't improve with no 300Hz HPF, maybe due to less deviation?\n");
+    sim_in.hpf = 0; run_sim(sim_in);
+  printf("Rs=2400 4FSK ideal demod, nice low Eb/No!\n");
+    sim_in.demod = 2; sim_in.M = 4; sim_in.Rs = 2400; sim_in.EbNodB = 6; run_sim(sim_in);
+endfunction
+
+%run_single;
+run_lots;
diff --git a/octave/melvq.m b/octave/melvq.m
new file mode 100644
index 0000000..1e41b6e
--- /dev/null
+++ b/octave/melvq.m
@@ -0,0 +1,165 @@
+% melvq.m
+% David Rowe Aug 2015
+%
+% Experimenting with VQ design for mel LSPs, also handy VQ searching routines
+
+1;
+
+% train up multi-stage VQ
+% ~/codec2-dev/build_linux/src$ sox -r 8000 -s -2 ../../wav/all.wav -t raw -r 8000 -s -2 - sinc 300 sinc -2600 | ./c2sim - --lpc 6 --lpcpf --lspmel --dump all  -o - | play -t raw -r 8000 -s -2 - vol 3
+%
+% octave:> load ../build_linux/src/all_mel.txt
+% octave:> melvq; vq = trainvq(all_mel, 64, 3);
+% octave:> save vq
+
+function vq = trainvq(training_data, Nvec, stages, city_en=0)
+
+  vq = [];
+  for i=1:stages
+    if city_en
+      [idx centers] = kmeans(training_data, Nvec, 'DISTANCE', 'cityblock');
+    else
+      [idx centers] = kmeans(training_data, Nvec);
+    end
+    quant_error = centers(idx,:) - training_data;
+    printf("mse stage %d: %f\n", i, mean(std(quant_error)));
+    training_data = quant_error;
+    vq(:,:,i) = centers;
+  end
+
+end
+
+function [mse_list index_list] = search_vq(vq, target, m)
+
+  [Nvec order] = size(vq);
+
+  mse = zeros(1, Nvec);
+ 
+  % find mse for each vector
+
+  for i=1:Nvec
+     mse(i) = sum((target - vq(i,:)) .^2);
+  end
+
+  % sort and keep top m matches
+
+  [mse_list index_list ] = sort(mse);
+
+  mse_list = mse_list(1:m);
+  index_list = index_list(1:m);
+
+endfunction
+
+
+% Search multi-stage VQ, retaining m best candidates at each stage
+
+function [res output_vecs ind] = mbest(vqset, input_vecs, m)
+
+  [Nvec order stages] = size(vqset);
+  [Ninput tmp] = size(input_vecs);
+
+  res = [];         % residual error after VQ
+  output_vecs = []; % quantised output vectors
+  ind = [];         % index of vqs
+  
+  for i=1:Ninput
+  
+    % first stage, find mbest candidates
+
+    [mse_list index_list] = search_vq(vqset(:,:,1), input_vecs(i,:), m);
+    cand_list = [mse_list' index_list'];
+    cand_list = sortrows(cand_list,1);
+
+    % subsequent stages ...........
+
+    for s=2:stages
+
+      % compute m targets for next stage, and update path
+
+      prev_indexes = zeros(m,s-1);
+      for t=1:m
+        target(t,:) = input_vecs(i,:);
+        for v=1:s-1
+          target(t,:) -= vqset(cand_list(t,v+1),:,v);
+        end
+        prev_indexes(t,:) = cand_list(t,2:s);
+      end
+      
+      % search stage s using m targets from stage s-1
+      % with m targets, we do m searches which return the m best possibilities
+      % so we get a matrix with one row per candidate, m*m rows total
+      % prev_indexes provides us with the path through the VQs for each candidate row
+
+      avq = vqset(:,:,s);
+      cand_list = [];
+      for t=1:m
+        [mse_list index_list] = search_vq(avq, target(t,:), m);
+        x = ones(m,1)*prev_indexes(t,:);
+        cand_row = [mse_list' x index_list'];
+        cand_list = [cand_list; cand_row];
+      end
+
+      % sort into m best rows
+     
+      cand_list = sortrows(cand_list,1);
+      cand_list = cand_list(1:m,:);
+
+    end
+
+    % final residual
+    target(1,:) = input_vecs(i,:);
+    out = zeros(1,order);
+    for v=1:stages
+      target(1,:) -= vqset(cand_list(1,v+1),:,v);
+      out += vqset(cand_list(1,v+1),:,v);
+    end
+    res  = [res; target(1,:)];
+    output_vecs  = [output_vecs; out];
+    ind  = [ind; cand_list(1,2:1+stages)];
+  end
+
+endfunction
+
+
+% Quantises a set of mel-lsps and saves back to disk so they can be read in by c2sim
+% assumes we have a vq saved to disk called vq
+%
+% ~/codec2-dev/build_linux/src$ sox -r 8000 -s -2 ../../wav/vk5qi.wav -t raw -r 8000 -s -2 - sinc 300 sinc -2600 | ./c2sim - --lpc 6 --lpcpf --lspmel --dump vk5qi  -o - | play -t raw -r 8000 -s -2 - vol 3
+%
+% octave:> test_run("vk5qi")
+%
+% ~/codec2-dev/build_linux/src$ sox -r 8000 -s -2 ../../wav/vk5qi.wav -t raw -r 8000 -s -2 - sinc 300 sinc -2600 | ./c2sim - --lpc 6 --lpcpf --phase0 --dec 4 --postfilter --lspmel --lspmelread ../../octave/vk5qi_mel_.out -o - | play -t raw -r 8000 -s -2 - vol 3
+
+function ind = test_run(samplename)
+
+  more off;
+  input_vecs_name = sprintf("../build_linux/src/%s_mel.txt", samplename);
+  input_vecs_name
+  mel = load(input_vecs_name);
+  load vq;
+  [res mel_ ind] = mbest(vq, mel, 5);
+  mean(std(res))
+
+  output_vecs_name = sprintf("%s_mel_.out", samplename);
+  fmel_ = fopen(output_vecs_name,"wb"); 
+  [r c] = size(mel_);
+  for i=1:r
+    fwrite(fmel_, mel_(i,:), "float32"); 
+  end
+  fclose(fmel_);
+end
+
+%ind = test_run("hts1a");
+
+%load "../build_linux/src/all_mel.txt"
+%vq = trainvq(all_mel, 64, 3);
+%save vq;
+
+% [X] save text file of "vq quantised mels"
+% [X] load back into c2sim at run time
+% [X] train on continuous mels
+% [X] sorting/stability
+% [X] see how it sounds
+% [X] Goal is to get VQ sounding OK, similar to UQ at 20 or 40ms dec,
+% [X] sig better than current 700
+% [X] check all indexes used with hist
diff --git a/octave/mfsk.m b/octave/mfsk.m
new file mode 100644
index 0000000..0414b5e
--- /dev/null
+++ b/octave/mfsk.m
@@ -0,0 +1,199 @@
+% mfsk.m
+% David Rowe Nov 2015
+
+% Simulation to test m=2 and m=4 FSK demod
+
+
+1;
+
+function sim_out = fsk_ber_test(sim_in)
+  Fs        = 96000;
+  M         = sim_in.M;
+  Rs        = sim_in.Rs;
+  Ts        = Fs/Rs;
+  verbose   = sim_in.verbose;
+
+  nbits     = sim_in.nbits;
+  nsym      = sim_in.nbits*2/M;
+  nsam      = nsym*Ts;
+  EsNodB    = sim_in.EbNodB + 10*log10(M/2);
+
+  % printf("M: %d nbits: %d nsym: %d\n", M, nbits, nsym);
+
+  if M == 2
+    f(1) = -Rs/2;
+    f(2) =  Rs/2;
+  end
+  if M == 4
+    f(1) = -3*Rs/2;
+    f(2) = -Rs/2;
+    f(3) =  Rs/2;
+    f(4) =  3*Rs/2;
+  end
+
+  % simulate over a range of Eb/No values
+
+  for ne = 1:length(EsNodB)
+    Nerrs = Terrs = Tbits = 0;
+
+    aEsNodB = EsNodB(ne);
+    EsNo = 10^(aEsNodB/10);
+    variance = Fs/(Rs*EsNo);
+
+    % Modulator -------------------------------
+
+    tx_bits = round(rand(1, nbits));
+    tx = zeros(1,nsam);
+    tx_phase = 0;
+
+    for i=1:nsym
+      if M == 2
+        tone = tx_bits(i) + 1;
+      else
+        tone = (tx_bits(2*(i-1)+1:2*i) * [2 1]') + 1;
+      end
+
+      tx_phase_vec = tx_phase + (1:Ts)*2*pi*f(tone)/Fs;
+      tx((i-1)*Ts+1:i*Ts) = exp(j*tx_phase_vec);
+      tx_phase = tx_phase_vec(Ts) - floor(tx_phase_vec(Ts)/(2*pi))*2*pi;
+    end
+  
+    % Channel ---------------------------------
+
+    % We use complex (single sided) channel simulation, as it's convenient
+    % for the FM simulation.
+
+    noise = sqrt(variance/2)*(randn(1,nsam) + j*randn(1,nsam));
+    rx    = tx + noise;
+    if verbose > 1
+      printf("EbNo: %f Eb: %f var No: %f EbNo (meas): %f\n", 
+      EbNo, var(tx)*Ts/Fs, var(noise)/Fs, (var(tx)*Ts/Fs)/(var(noise)/Fs));
+    end
+ 
+    % Demodulator -----------------------------
+
+    % non-coherent FSK demod
+
+    rx_bb = rx;
+    dc = zeros(M,nsam);
+    for m=1:M
+      dc(m,:) = rx_bb .* exp(-j*(0:nsam-1)*2*pi*f(m)/Fs);
+    end
+
+    rx_bits = zeros(1, nsym);
+    for i=1:nsym
+      st = (i-1)*Ts+1;
+      en = st+Ts-1;
+      for m=1:M
+        int(m,i) = abs(sum(dc(m,st:en)));
+      end
+      if m == 2
+        rx_bits(i) = int(1,i) < int(2,i);
+      else
+        [max_amp tone] = max([int(1,i) int(2,i) int(3,i) int(4,i)]);
+        if tone == 1
+          rx_bits(2*(i-1)+1:2*i) = [0 0];
+        end
+        if tone == 2
+          rx_bits(2*(i-1)+1:2*i) = [0 1];
+        end
+        if tone == 3
+          rx_bits(2*(i-1)+1:2*i) = [1 0];
+        end
+        if tone == 4
+          rx_bits(2*(i-1)+1:2*i) = [1 1];
+        end
+     end
+    end
+  
+    error_positions = xor(rx_bits, tx_bits);
+    Nerrs = sum(error_positions);
+    Terrs += Nerrs;
+    Tbits += length(error_positions);
+
+    TERvec(ne) = Terrs;
+    BERvec(ne) = Terrs/Tbits;
+
+    if verbose > 1
+      figure(2)
+      clf
+      Rx = 10*log10(abs(fft(rx)));
+      plot(Rx(1:Fs/2));
+      axis([1 Fs/2 0 50]);
+
+      figure(3)
+      clf;
+      subplot(211)
+      plot(real(rx_bb(1:Ts*20)))
+      subplot(212)
+      Rx_bb = 10*log10(abs(fft(rx_bb)));
+      plot(Rx_bb(1:3000));
+      axis([1 3000 0 50]);
+
+      figure(4);
+      subplot(211)
+      stem(abs(mark_int(1:100)));
+      subplot(212)
+      stem(abs(space_int(1:100)));   
+    end
+
+    if verbose
+      printf("EbNo (db): %3.2f Terrs: %d BER: %4.3f \n", aEsNodB - 10*log10(M/2), Terrs, Terrs/Tbits);
+    end
+  end
+
+  sim_out.TERvec = TERvec;
+  sim_out.BERvec = BERvec;
+endfunction
+
+
+function run_fsk_curves
+  sim_in.M         = 2;
+  sim_in.Rs        = 1200;
+  sim_in.nbits     = 12000;
+  sim_in.EbNodB    = 0:2:20;
+  sim_in.verbose   = 1;
+  
+  EbNo  = 10 .^ (sim_in.EbNodB/10);
+  fsk_theory.BERvec = 0.5*exp(-EbNo/2); % non-coherent BFSK demod
+  fsk2_sim = fsk_ber_test(sim_in);
+
+  sim_in.M = 4;
+  fsk4_sim = fsk_ber_test(sim_in);
+
+  % BER v Eb/No curves
+
+  figure(1); 
+  clf;
+  semilogy(sim_in.EbNodB, fsk_theory.BERvec,'r;2FSK theory;')
+  hold on;
+  semilogy(sim_in.EbNodB, fsk2_sim.BERvec,'g;2FSK sim;')
+  semilogy(sim_in.EbNodB, fsk4_sim.BERvec,'b;4FSK sim;')
+  hold off;
+  grid("minor");
+  axis([min(sim_in.EbNodB) max(sim_in.EbNodB) 1E-4 1])
+  legend("boxoff");
+  xlabel("Eb/No (dB)");
+  ylabel("Bit Error Rate (BER)")
+
+end
+
+
+function run_fsk_single
+  sim_in.M         = 4;
+  sim_in.Rs        = 1200;
+  sim_in.nbits     = 5000;
+  sim_in.EbNodB    = 8;
+  sim_in.verbose   = 1;
+
+  fsk_sim = fsk_ber_test(sim_in);
+endfunction
+
+
+rand('state',1); 
+randn('state',1);
+graphics_toolkit ("gnuplot");
+
+run_fsk_curves
+%run_fsk_single
+
diff --git a/octave/newamp1_fbf.m b/octave/newamp1_fbf.m
new file mode 100644
index 0000000..69111c6
--- /dev/null
+++ b/octave/newamp1_fbf.m
@@ -0,0 +1,144 @@
+% newamp1_fbf.m
+%
+% Copyright David Rowe 2016
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+% Interactive Octave script to explore frame by frame operation of newamp1
+% spectral amplitude modelling.
+%
+% Usage:
+%   Make sure codec2-dev is compiled with the -DDUMP option - see README for
+%    instructions.
+%   ~/codec2-dev/build_linux/src$ ./c2sim ../../raw/hts1a.raw --dump hts1a
+%   $ cd ~/codec2-dev/octave
+%   octave:14> newamp1_fbf("../build_linux/src/hts1a",50)
+
+
+function newamp1_fbf(samname, f=73, varargin)
+  more off;
+
+  newamp_700c; melvq;
+  load train_120_1.txt; load train_120_2.txt;
+  train_120_vq(:,:,1)= train_120_1; train_120_vq(:,:,2)= train_120_2; m=5;
+
+  Fs = 8000;  K = 20;
+
+  vq = 0; eq_en = 0; pf = 0;
+
+  % load up text files dumped from c2sim ---------------------------------------
+
+  sn_name = strcat(samname,"_sn.txt");
+  Sn = load(sn_name);
+  sw_name = strcat(samname,"_sw.txt");
+  Sw = load(sw_name);
+  model_name = strcat(samname,"_model.txt");
+  model = load(model_name);
+  [frames tmp] = size(model);
+
+  % pre-process
+  [rate_K_surface sample_freqs_kHz] = resample_const_rate_f_mel(model(1:frames,:), K);
+
+  % we need to know eq states on each frame
+  eq = zeros(frames,K);  an_eq = zeros(1,K);
+  for ff=1:frames
+    mean_f = mean(rate_K_surface(ff,:));
+    rate_K_vec_no_mean = rate_K_surface(ff,:) - mean_f;
+    [tmp an_eq] = front_eq(rate_K_vec_no_mean, an_eq);
+    eq(ff,:) = an_eq;
+  end
+
+  % Keyboard loop --------------------------------------------------------------
+
+  k = ' ';
+  do
+    fg = 1;
+    s = [ Sn(2*f-1,:) Sn(2*f,:) ];
+    figure(fg++); clf; plot(s); axis([1 length(s) -20000 20000]);
+
+    Wo = model(f,1); L = model(f,2); Am = model(f,3:(L+2)); AmdB = 20*log10(Am);
+    Am_freqs_kHz = (1:L)*Wo*4/pi;
+
+    % plots ----------------------------------
+
+    figure(fg++); clf;
+    l = sprintf(";rate %d AmdB;g+-", L);
+    plot((1:L)*Wo*4000/pi, AmdB, l);
+    axis([1 4000 -20 80]);
+    hold on;
+    stem(sample_freqs_kHz*1000, rate_K_surface(f,:), ";rate K;b+-");
+
+    % default
+    rate_K_vec_ = rate_K_surface(f,:);
+
+    mean_f = mean(rate_K_surface(f,:));
+    rate_K_vec_no_mean = rate_K_surface(f,:) - mean_f;
+    if eq_en
+      rate_K_vec_no_mean -= eq(f,:);
+    end
+    rate_K_vec_no_mean_ = rate_K_vec_no_mean;
+    if vq
+      [res rate_K_vec_no_mean_ ind] = mbest(train_120_vq, rate_K_vec_no_mean, m);
+      if pf
+        rate_K_vec_no_mean_ = post_filter(rate_K_vec_no_mean_, sample_freqs_kHz, 1.5);
+      end
+      rate_K_vec_ = rate_K_vec_no_mean_ + mean_f;
+    end
+
+    % back to rate L
+    model_(f,:) = resample_rate_L(model(f,:), rate_K_vec_, sample_freqs_kHz);
+    Am_ = model_(f,3:(L+2)); AmdB_ = 20*log10(Am_);
+    varL = var(AmdB - AmdB_);
+
+    plot((1:L)*Wo*4000/pi, AmdB_,";AmdB bar;r+-");
+    l = sprintf(";error var %3.2f dB;bk+-", varL);
+    plot((1:L)*Wo*4000/pi, (AmdB - AmdB_), l);
+    hold off;
+
+    figure(3); clf;
+    plot(sample_freqs_kHz*1000, 40+ rate_K_vec_no_mean, ";rate K no mean;g+-");
+    axis([1 4000 -20 80]); hold on;
+    plot(sample_freqs_kHz*1000, 40 + rate_K_vec_no_mean_, ";rate K no mean bar;r+-");
+    varK = var(rate_K_vec_no_mean - rate_K_vec_no_mean_);
+    l = sprintf(";error var %3.2f dB;bk+-", varK);
+    plot(sample_freqs_kHz*1000, rate_K_vec_no_mean - rate_K_vec_no_mean_, l);
+
+    plot(sample_freqs_kHz*1000, eq(f,:), ";eq;b+-");
+    hold off;
+
+    % interactive menu ------------------------------------------
+
+    printf("\rframe: %d  menu: n-next  b-back  q-quit  v-vq[%d] p-pf[%d] e-eq[%d]", f, vq, pf, eq_en);
+    fflush(stdout);
+    k = kbhit();
+
+    if k == 'v'
+       if vq == 0; vq = 1; else vq = 0; end
+     endif
+    if k == 'p'
+       if pf == 0; pf = 1; else pf = 0; end
+    endif
+    if k == 'e'
+       if eq_en == 0; eq_en = 1; else eq_en = 0; end
+    endif
+    if k == 'n'
+      f = f + 1;
+    endif
+    if k == 'b'
+      f = f - 1;
+    endif
+
+  until (k == 'q')
+  printf("\n");
+
+endfunction
+
+
+function ind = arg_exists(v, str)
+   ind = 0;
+   for i=1:length(v)
+      if !ind && strcmp(v{i}, str)
+        ind = i;
+      end
+    end
+endfunction
diff --git a/octave/newamp_700c.m b/octave/newamp_700c.m
new file mode 100644
index 0000000..861b7ff
--- /dev/null
+++ b/octave/newamp_700c.m
@@ -0,0 +1,358 @@
+% newamp_700c.m
+%
+% Copyright David Rowe 2017
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+% Library of Octave functions for rate K, mel spaced
+% vector quantisation of spectral magnitudes used in Codec 2 700C mode.
+
+1;
+melvq; % mbest VQ functions
+
+% --------------------------------------------------------------------------------
+% Functions used by rate K mel work
+% --------------------------------------------------------------------------------
+
+% General 2nd order parabolic interpolator.  Used splines originally,
+% but this is much simpler and we don't need much accuracy.  Given two
+% vectors of points xp and yp, find interpolated values y at points x
+
+function y = interp_para(xp, yp, x)
+  assert( (length(xp) >=3) && (length(yp) >= 3) );
+
+  y = zeros(1,length(x));
+  k = 1;
+  for i=1:length(x)
+    xi = x(i);
+
+    % k is index into xp of where we start 3 points used to form parabola
+
+    while ((xp(k+1) < xi) && (k < (length(xp)-2)))
+      k++;
+    end
+
+    x1 = xp(k); y1 = yp(k); x2 = xp(k+1); y2 = yp(k+1); x3 = xp(k+2); y3 = yp(k+2);
+    %printf("k: %d i: %d xi: %f x1: %f y1: %f\n", k, i, xi, x1, y1);
+
+    a = ((y3-y2)/(x3-x2)-(y2-y1)/(x2-x1))/(x3-x1);
+    b = ((y3-y2)/(x3-x2)*(x2-x1)+(y2-y1)/(x2-x1)*(x3-x2))/(x3-x1);
+
+    y(i) = a*(xi-x2)^2 + b*(xi-x2) + y2;
+  end
+endfunction
+
+
+% simple linear interpolator
+
+function y = interp_linear(xp, yp, x)
+  assert( (length(xp) == 2) && (length(yp) == 2) );
+
+  m = (yp(2) - yp(1))/(xp(2) - xp(1));
+  c = yp(1) - m*xp(1);
+
+  y = zeros(1,length(x));
+  for i=1:length(x)
+    y(i) = m*x(i) + c;
+  end
+endfunction
+
+
+% quantise input sample to nearest value in table, optionally return binary code
+
+function [quant_out best_i bits] = quantise(levels, quant_in)
+
+  % find closest quantiser level
+
+  best_se = 1E32;
+  for i=1:length(levels)
+    se = (levels(i) - quant_in)^2;
+    if se < best_se
+      quant_out = levels(i);
+      best_se = se;
+      best_i = i;
+    end
+  end
+
+  % convert index to binary bits
+
+  numbits = ceil(log2(length(levels)));
+  bits = zeros(1, numbits);
+  for b=1:numbits
+    bits(b) = bitand(best_i-1,2^(numbits-b)) != 0;
+  end
+
+endfunction
+
+
+% Quantisation functions for Wo in log freq domain
+
+function index = encode_log_Wo(Wo, bits)
+    Wo_levels = 2.^bits;
+    Wo_min = 2*pi/160;
+    Wo_max = 2*pi/20;
+
+    norm = (log10(Wo) - log10(Wo_min))/(log10(Wo_max) - log10(Wo_min));
+    index = floor(Wo_levels * norm + 0.5);
+    index = max(index, 0);
+    index = min(index, Wo_levels-1);
+endfunction
+
+
+function Wo = decode_log_Wo(index, bits)
+    Wo_levels = 2.^bits;
+    Wo_min = 2*pi/160;
+    Wo_max = 2*pi/20;
+
+    step = (log10(Wo_max) - log10(Wo_min))/Wo_levels;
+    Wo   = log10(Wo_min) + step*index;
+
+    Wo = 10 .^ Wo;
+endfunction
+
+
+% convert index to binary bits
+
+function bits = index_to_bits(value, numbits)
+  levels = 2.^numbits;
+  bits = zeros(1, numbits);
+  for b=1:numbits
+    bits(b) = bitand(value,2^(numbits-b)) != 0;
+  end
+end
+
+
+function value = bits_to_index(bits, numbits)
+  value = 2.^(numbits-1:-1:0) * bits;
+endfunction
+
+
+% Determine a phase spectra from a magnitude spectra
+% from http://www.dsprelated.com/showcode/20.php
+% Haven't _quite_ figured out how this works but have to start somewhere ....
+%
+% TODO: we may be able to sample at a lower rate, like mWo
+%       but start with something that works
+
+function [phase Gdbfk s Aw] = determine_phase(model, f, Nfft=512, ak)
+  Fs      = 8000;
+  max_amp = 80;
+  L       = min([model(f,2) max_amp-1]);
+  Wo      = model(f,1);
+
+  sample_freqs_kHz = (Fs/1000)*[0:Nfft/2]/Nfft;           % fft frequency grid (nonneg freqs)
+  Am = model(f,3:(L+2));
+  AmdB = 20*log10(Am);
+  rate_L_sample_freqs_kHz = (1:L)*Wo*4/pi;
+
+  Gdbfk = interp_para(rate_L_sample_freqs_kHz, AmdB, sample_freqs_kHz);
+
+  % optional input of aks for testing
+
+  if nargin == 4
+    Aw = 1 ./ fft(ak,Nfft);
+    Gdbfk = 20*log10(abs(Aw(1:Nfft/2+1)));
+  end
+
+  [phase s] = mag_to_phase(Gdbfk, Nfft);
+
+endfunction
+
+
+% Non linear sampling of frequency axis, reducing the "rate" is a
+% first step before VQ
+
+function mel = ftomel(fHz)
+  mel = floor(2595*log10(1+fHz/700)+0.5);
+endfunction
+
+
+function rate_K_sample_freqs_kHz = mel_sample_freqs_kHz(K)
+  mel_start = ftomel(200); mel_end = ftomel(3700);
+  step = (mel_end-mel_start)/(K-1);
+  mel = mel_start:step:mel_end;
+  rate_K_sample_freqs_Hz = 700*((10 .^ (mel/2595)) - 1);
+  rate_K_sample_freqs_kHz = rate_K_sample_freqs_Hz/1000;
+endfunction
+
+
+function [rate_K_surface rate_K_sample_freqs_kHz] = resample_const_rate_f_mel(model, K)
+  rate_K_sample_freqs_kHz = mel_sample_freqs_kHz(K);
+  rate_K_surface = resample_const_rate_f(model, rate_K_sample_freqs_kHz);
+endfunction
+
+
+% Resample Am from time-varying rate L=floor(pi/Wo) to fixed rate K.  This can be viewed
+% as a 3D surface with time, freq, and ampitude axis.
+
+function [rate_K_surface rate_K_sample_freqs_kHz] = resample_const_rate_f(model, rate_K_sample_freqs_kHz)
+
+  % convert rate L=pi/Wo amplitude samples to fixed rate K
+
+  max_amp = 80;
+  [frames col] = size(model);
+  K = length(rate_K_sample_freqs_kHz);
+  rate_K_surface = zeros(frames, K);
+
+  for f=1:frames
+    Wo = model(f,1);
+    L = min([model(f,2) max_amp-1]);
+    Am = model(f,3:(L+2));
+    AmdB = 20*log10(Am);
+    %pre = 10*log10((1:L)*Wo*4/(pi*0.3));
+    %AmdB += pre;
+
+    % clip between peak and peak -50dB, to reduce dynamic range
+
+    AmdB_peak = max(AmdB);
+    AmdB(find(AmdB < (AmdB_peak-50))) = AmdB_peak-50;
+
+    rate_L_sample_freqs_kHz = (1:L)*Wo*4/pi;
+
+    %rate_K_surface(f,:) = interp1(rate_L_sample_freqs_kHz, AmdB, rate_K_sample_freqs_kHz, "spline", "extrap");
+    rate_K_surface(f,:)  = interp_para(rate_L_sample_freqs_kHz, AmdB, rate_K_sample_freqs_kHz);
+
+    %printf("\r%d/%d", f, frames);
+  end
+  %printf("\n");
+endfunction
+
+
+% Take a rate K surface and convert back to time varying rate L
+
+function [model_ AmdB_] = resample_rate_L(model, rate_K_surface, rate_K_sample_freqs_kHz)
+  max_amp = 80;
+  [frames col] = size(model);
+
+  model_ = zeros(frames, max_amp+2);
+  for f=1:frames
+    Wo = model(f,1);
+    L = model(f,2);
+    rate_L_sample_freqs_kHz = (1:L)*Wo*4/pi;
+
+    % back down to rate L
+
+    % AmdB_ = interp1(rate_K_sample_freqs_kHz, rate_K_surface(f,:), rate_L_sample_freqs_kHz, "spline", 0);
+    AmdB_ = interp_para([ 0 rate_K_sample_freqs_kHz 4], [0 rate_K_surface(f,:) 0], rate_L_sample_freqs_kHz);
+
+    model_(f,1) = Wo; model_(f,2) = L; model_(f,3:(L+2)) = 10 .^ (AmdB_(1:L)/20);
+   end
+endfunction
+
+
+% Post Filter, has a big impact on speech quality after VQ.  When used
+% on a mean removed rate K vector, it raises formants, and suppresses
+% anti-formants.  As it manipulates amplitudes, we normalise energy to
+% prevent clipping or large level variations.  pf_gain of 1.2 to 1.5
+% (dB) seems to work OK.  Good area for further investigations and
+% improvements in speech quality.
+
+function vec = post_filter(vec, sample_freq_kHz, pf_gain = 1.5, voicing)
+    % vec is rate K vector describing spectrum of current frame
+    % lets pre-emp before applying PF. 20dB/dec over 300Hz
+
+    pre = 20*log10(sample_freq_kHz/0.3);
+    vec += pre;
+
+    levels_before_linear = 10 .^ (vec/20);
+    e_before = sum(levels_before_linear .^2);
+
+    vec *= pf_gain;
+
+    levels_after_linear = 10 .^ (vec/20);
+    e_after = sum(levels_after_linear .^2);
+    gain = e_after/e_before;
+    gaindB = 10*log10(gain);
+    vec -= gaindB;
+
+    vec -= pre;
+endfunction
+
+
+% construct energy quantiser table, and save to text file to include in C
+
+function energy_q = create_energy_q
+    energy_q = 10 + 40/16*(0:15);
+endfunction
+
+function save_energy_q(fn)
+  energy_q = create_energy_q;
+  f = fopen(fn, "wt");
+  fprintf(f, "1 %d\n", length(energy_q));
+  for n=1:length(energy_q)
+    fprintf(f, "%f\n", energy_q(n));
+  end
+  fclose(f);
+endfunction
+
+
+% save's VQ in format that can be compiled by Codec 2 build system
+
+function save_vq(vqset, filenameprefix)
+  [Nvec order stages] = size(vqset);
+  for s=1:stages
+    fn = sprintf("%s_%d.txt", filenameprefix, s);
+    f = fopen(fn, "wt");
+    fprintf(f, "%d %d\n", order, Nvec);
+    for n=1:Nvec
+      for k=1:order
+        fprintf(f, "% 8.4f ", vqset(n,k,s));
+      end
+      fprintf(f, "\n");
+    end
+    fclose(f);
+  end
+endfunction
+
+
+% Decoder side interpolation of Wo and voicing, to go from 25 Hz
+% sample rate used over channel to 100Hz internal sample rate of Codec
+% 2.
+
+function [Wo_ voicing_] = interp_Wo_v(Wo1, Wo2, voicing1, voicing2)
+    M = 4;
+    max_amp = 80;
+
+    Wo_ = zeros(1,M);
+    voicing_ = zeros(1,M);
+    if !voicing1 && !voicing2
+       Wo_(1:M) = 2*pi/100;
+    end
+
+    if voicing1 && !voicing2
+       Wo_(1:M/2) = Wo1;
+       Wo_(M/2+1:M) = 2*pi/100;
+       voicing_(1:M/2) = 1;
+    end
+
+    if !voicing1 && voicing2
+       Wo_(1:M/2) = 2*pi/100;
+       Wo_(M/2+1:M) = Wo2;
+       voicing_(M/2+1:M) = 1;
+    end
+
+    if voicing1 && voicing2
+      Wo_samples = [Wo1 Wo2];
+      Wo_(1:M) = interp_linear([1 M+1], Wo_samples, 1:M);
+      voicing_(1:M) = 1;
+    end
+
+    #{
+    printf("f: %d f+M/2: %d Wo: %f %f (%f %%) v: %d %d \n", f, f+M/2, model(f,1), model(f+M/2,1), 100*abs(model(f,1) - model(f+M/2,1))/model(f,1), voicing(f), voicing(f+M/2));
+    for i=f:f+M/2-1
+      printf("  f: %d v: %d v_: %d Wo: %f Wo_: %f\n", i, voicing(i), voicing_(i), model(i,1),  model_(i,1));
+    end
+    #}
+endfunction
+
+
+% Equaliser in front of EQ, see vq_700c_eq.m for development version
+
+function [rate_K_vec eq] = front_eq(rate_K_vec, eq)
+  [tmp K] = size(rate_K_vec);
+  ideal = [ 8 10 12 14 14*ones(1,K-1-4) -20];
+  gain = 0.02;
+  update = rate_K_vec - ideal;
+  eq = (1-gain)*eq + gain*update;
+  eq(find(eq < 0)) = 0;
+endfunction
diff --git a/octave/nf_from_gr.m b/octave/nf_from_gr.m
new file mode 100644
index 0000000..bd36d02
--- /dev/null
+++ b/octave/nf_from_gr.m
@@ -0,0 +1,129 @@
+% nf_from_gr.m
+% David Rowe Mar 2016
+
+#{
+  Calculate NF from GNU Radio output samples in 
+  ...IQIQ... (32 bit float) sample files
+ 
+  1/ Take one sample with a -100dBm input carrier
+  2/ Take another sample with no signal (just rx noise)
+  3/ Set Fs, adjust st and en to use a chunk of spectrum without too
+      many birdies.
+ 
+  Gotchas:
+
+  1/ Inspect Figure(1), the time domain plots.
+  2/ Make sure plenty of ADC bits are being used with the noise-only sample,
+     we don't want ADC quantisation noise to dominate.  Aim for about half
+     full scale.
+  3/ Also watch out for clipping on either sample.
+
+#}
+
+1;
+
+function det_nf(p_filename, n_filename, title, Fs, st, en, Pin_dB, real_file=0)
+
+  if real_file
+    % real samples files of 16 bit shorts
+    fs=fopen(p_filename,"rb");
+    p = fread(fs,Inf,"short");
+    fclose(fs);
+    fs=fopen(n_filename,"rb");
+    pn = fread(fs,Inf,"short");
+    fclose(fs);
+  else
+    % GNU radio complex file input
+    p =  load_comp(p_filename);
+    pn = load_comp(n_filename);
+  end
+
+  % skip any start up transients
+  
+  tst = floor(0.1*Fs); ten = st + Fs - 1;
+  P = fft(p(tst:ten));
+  N = fft(pn(tst:ten));
+
+  PdB = 20*log10(abs(P));
+  NdB = 20*log10(abs(N));
+
+  figure(1); clf;
+  subplot(211); plot(real(p(tst:tst+floor(Fs*0.1))));
+  subplot(212); plot(real(pn(tst:tst+floor(Fs*0.1))));
+  
+  figure(2); clf;
+  subplot(211); plot(st:en, PdB(st:en));
+  subplot(212); plot(st:en, NdB(st:en));
+
+  #{ 
+  ------------------------------------------------------------------------
+
+  From Wikipedia: The Noise Figure is the difference in decibels
+     (dB) between the noise output of the actual receiver to the noise
+     output of an “ideal” receiver
+  
+  An ideal receiver would have an output noise power of:
+ 
+    Nout_dB = 10log10(B) -174 + G_dB
+ 
+  The -174 dBm/Hz figure is the thermal noise density at 25C, for
+  every 1Hz of bandwidth your will get -174dBm of noise power.  It's
+  the lower limit set by the laws of physics.  G_dB is the Rx gain. The
+  10log10(B) term takes into account the bandwidth of the Rx.  A wider
+  bandwidth means more total noise power.
+
+  So if you have a 1Hz bandwidth, and a gain of 100dB, you would
+  expect Nout_NdB = 0 -174 + 100 = -74dBm at the rx output with no
+  signal.  If you have a 1000Hz bandwidth receiver you would have NdB_out
+  = 20 -174 + 100 = -44dBm of noise power at the output.
+
+  To determine Noise Figure:
+    1) Sample the Rx output first with a test signal and then with noise only.
+    2) Find the Rx gain using the test signal.
+    3) Find the noise output power, then using the gain we can find the noise
+       input power. 
+    4) Normalise the noise input power to 1Hz noise bandwidth and
+       compare to the thermal noise floor.
+
+  ---------------------------------------------------------------------------- 
+  #}
+
+  % variance is the power of a sampled signal
+
+  Pout_dB = 10*log10(var(P(st:en)));           % Rx output power with test signal
+  G_dB    = Pout_dB - Pin_dB;                  % Gain of Rx                           
+  Nout_dB = 10*log10(var(N(st:en)));           % Rx output power with noise
+  Nin_dB  = Nout_dB - G_dB;                    % Rx input power with noise
+  No_dB   = Nin_dB - 10*log10(en-st);          % Rx input power with noise in 1Hz bandwidth
+  NF_dB   = No_dB + 174;                       % compare to thermal noise to get NF
+  printf("%10s: Pin: %4.1f  Pout: %4.1f  G: %4.1f  NF: %3.1f dB\n", title, Pin_dB, Pout_dB, G_dB, NF_dB);
+endfunction
+
+
+% HackRF --------------------------
+
+%p_filename = "~/Desktop/blogs/nf/hackrf_100dbm_4MHz.bin";
+%n_filename = "~/Desktop/blogs/nf/hackrf_nosignal_4MHz.bin";
+p_filename = "~/codec2-dev/build_linux/unittest/hackrf_100dbm_4MHz.bin";
+n_filename = "~/codec2-dev/build_linux/unittest/hackrf_nosignal_4MHz.bin";
+det_nf(p_filename, n_filename, "HackRF", 4E6, 180E3, 600E3, -100);
+
+#{
+% RTL-SDR --------------------------
+
+p_filename = "~/Desktop/nf/neg100dBm_2MHz.bin";
+n_filename = "~/Desktop/nf/nosignal_2MHz.bin";
+det_nf(p_filename, n_filename, "RTL-SDR", 2E6, 100E3, 300E3, -100);
+
+% AirSpy -------------------------
+
+p_filename = "~/Desktop/nf/airspy_100dbm_2.5MSPS.bin";
+n_filename = "~/Desktop/nf/airspy_nosig_2.5MSPS.bin";
+det_nf(p_filename, n_filename, "AirSpy", 2.5E6, 100E3, 300E3, -100);
+
+% Fun Cube Dongle Pro Plus -------------------------
+
+p_filename = "~/Desktop/nf/fcdpp_100dbm_192khz.bin";
+n_filename = "~/Desktop/nf/fcdpp_nosig_192khz.bin";
+det_nf(p_filename, n_filename, "FunCube PP", 192E3, 25E3, 125E3, -100);
+#}
diff --git a/octave/nf_from_stdio.m b/octave/nf_from_stdio.m
new file mode 100644
index 0000000..e1d38f2
--- /dev/null
+++ b/octave/nf_from_stdio.m
@@ -0,0 +1,133 @@
+% nf_from_gr.m
+% David Rowe Mar 2018
+
+#{
+
+  Calculate NF in real time from 16 bit real samples from stdin
+
+  1/ Using gqrx:
+
+    gqrx setup:
+      Configure I/O devices:
+         To switch on LNA bias for HackRF, in Configure I/O devices menu set:
+           Device String: hackrf,bias=1
+         To switch on LNA bias for airspy run for a few seconds this before starting gqrx:
+           $ airspy_rx -r /dev/null -f 435 -b 1
+         I used a sample rate of 250000 for Airspy R2, 3000000 for Airspy Mini
+      Input options...: start with set all gain sliders set to maximum
+      FFT Setting.....: freq Zoom to max
+      Receiver Options: On spectrum display, drag filter width until it's about 12k
+                        Filter Shape Normal
+                        Mode USB
+                        Tune until tone is between 2 and 4 k
+                        Press UDP button
+
+    Then in a Linux Term:
+    
+      $ nc -ul 7355 | octave --no-gui -qf nf_from_stdio.m 48000
+
+  2/ Using command line tools.  Compile airspy tools and csdr from source:
+
+  a) Airspy:
+  
+    $ airspy_rx -a 6000000 -l 14 -m 15 -v 15 -r - -f 434.998 -b 1 | \
+      csdr convert_s16_f | csdr fir_decimate_cc 50 | csdr convert_f_s16 | \
+      octave --no-gui -qf ~/codec2-dev/octave/nf_from_stdio.m 120000 complex
+
+      Note: we tuned a few kHz down to put the test tone in the 2000 to 4000 Hz range.
+      
+  b) HackRF:
+  
+    Term 1:
+
+    $ ~/codec2-dev/octave$ nc -ul 7355 | octave --no-gui -qf nf_from_stdio.m 80000 complex
+
+    Term 2:
+    
+    $ hackrf_transfer -r - -f 434995000 -s 4000000 -a 1 -p 1 -l 40 -g 32 | \
+      csdr convert_s8_f | csdr fir_decimate_cc 50 | csdr convert_f_s16 | \
+      nc localhost -u 7355
+
+    Note: HackRF needed a bit of tuning to get test tone in 2000 to 4000 Hz range. This
+    can be tricky with the command line method, easier with gqrx.
+
+  c) rtlsdr (assuming sig gen set to 144.5MHz, -100dBm) 
+
+    Term 1:
+
+    $ ./rtl_sdr -g 50 -s 2400000 -f 144.498E6 - | csdr convert_u8_f | csdr fir_decimate_cc 50 | \
+      csdr convert_f_s16 | octave --no-gui -qf ~/codec2/octave/nf_from_stdio.m 48000 complex
+
+  TODO:
+    [ ] work out why noise power st bounces around so much, signal power seems stable
+    [ ] reduce CPU load, in particular of plotting
+#}
+
+graphics_toolkit ("gnuplot")
+
+% command line arguments
+
+arg_list = argv ();
+if nargin == 0
+  printf("\nusage: %s FsHz [real|complex] [testToneLeveldBm]\n\n", program_name());
+  exit(0);
+end
+
+Fs = str2num(arg_list{1});
+shorts_per_sample = 1;
+
+if nargin == 2
+  if strcmp(arg_list{2}, "real")
+    shorts_per_sample = 1;
+  end
+  if strcmp(arg_list{2}, "complex")
+    shorts_per_sample = 2;
+  end
+end
+  
+Pin_dB = -100; % level of input test tone
+if nargin == 3
+  Pin_dB = str2num(arg_list{3});
+end
+
+printf("Fs: %d shorts_per_sample: %d Pin_dB: %f\n", Fs, shorts_per_sample, Pin_dB);
+
+[s,c] = fread(stdin, shorts_per_sample*Fs, "short");
+
+while c
+  if shorts_per_sample == 2
+    s = s(1:2:end)+j*s(2:2:end);
+  end
+  S = fft(s.*hanning(Fs));
+  SdB = 20*log10(abs(S));
+  figure(1); plot(real(s)); axis([0 Fs -4E4 4E4]);
+  figure(2); plot(SdB); axis([0 12000 40 180]);
+
+  % assume sine wave is between 2000 and 4000 Hz, and dominates energy in that
+  % region.  Noise is between 5000 - 10000 Hz
+  
+  sig_st = 2000; sig_en = 5000;
+  noise_st = 6000; noise_en = 10000;
+
+  % find peak and sum power a few bins either side, this ensure we don't capture
+  % too much noise as well
+  
+  [pk pk_pos] = max(abs(S));
+  if pk_pos > 5
+    Pout_dB1 = 10*log10(sum(abs(S(pk_pos-5:pk_pos+5)).^2));     % Rx output power with test signal
+  else
+    Pout_dB1 = 0;
+  end
+  
+  Pout_dB = 10*log10(sum(abs(S(sig_st:sig_en)).^2));      % Rx output power with test signal
+  G_dB    = Pout_dB - Pin_dB;                             % Gain of Rx                           
+  Nout_dB = 10*log10(sum(abs(S(noise_st:noise_en)).^2)/(noise_en-noise_st));  % Rx output power with noise 
+  Nin_dB  = Nout_dB - G_dB;                               % Rx input power with noise
+  No_dB   = Nin_dB; %- 10*log10(noise_en-noise_st);       % Rx input power with noise in 1Hz bandwidth
+  NF_dB   = No_dB + 174;                                  % compare to thermal noise to get NF
+  printf("Pout: %4.1f  %d %4.1f Nout: %4.1f G: %4.1f  No: %4.1f NF: %3.1f dB\n", Pout_dB, pk_pos, Pout_dB1, Nout_dB, G_dB, No_dB, NF_dB);
+
+  pause(2);
+  [s,c] = fread(stdin, shorts_per_sample*Fs, "short");
+endwhile
+
diff --git a/octave/ofdm_acquisition.m b/octave/ofdm_acquisition.m
new file mode 100644
index 0000000..fd56a99
--- /dev/null
+++ b/octave/ofdm_acquisition.m
@@ -0,0 +1,249 @@
+% ofdm_acquisition.m
+% David Rowe Jan 2021
+%
+% Simulations used for development of HF data modem burst mode acquisition
+%
+% To run headless on a server:
+%
+%   DISPLAY=\"\" octave-cli --no-gui -qf ofdm_acquisition.m > 210218.txt &
+
+ofdm_lib;
+channel_lib;
+
+% Build a vector of Tx bursts in noise, one burst occurs every padded_burst_len samples
+
+function [rx tx_preamble tx_postamble burst_len padded_burst_len ct_targets states] = generate_bursts(sim_in)
+  config = ofdm_init_mode(sim_in.mode);
+  states = ofdm_init(config);
+  ofdm_load_const;
+
+  tx_preamble = states.tx_preamble; tx_postamble = states.tx_postamble;
+   
+  Nbursts = sim_in.Nbursts;
+  tx_bits = create_ldpc_test_frame(states, coded_frame=0);
+  tx_burst = [tx_preamble ofdm_mod(states, tx_bits) tx_postamble];
+  burst_len = length(tx_burst);
+  tx_burst = ofdm_hilbert_clipper(states, tx_burst, tx_clip_en=0);
+  padded_burst_len = Fs+burst_len+Fs;
+  
+  tx = []; ct_targets = [];
+  for f=1:Nbursts
+    % 100ms of jitter in the burst start point
+    jitter = floor(rand(1,1)*0.1*Fs);
+    tx_burst_padded = [zeros(1,Fs+jitter) tx_burst zeros(1,Fs-jitter)];
+    ct_targets = [ct_targets Fs+jitter];
+    tx = [tx tx_burst_padded];
+  end
+  
+  % adjust channel simulator SNR setpoint given (burst on length)/(sample length) ratio
+  mark_space_SNR_offset = 10*log10(burst_len/padded_burst_len);
+  SNRdB_setpoint = sim_in.SNR3kdB + mark_space_SNR_offset;
+  %printf("SNR3kdB: %f Burst offset: %f\n", sim_in.SNR3kdB, mark_space_SNR_offset)
+  rx = channel_simulate(Fs, SNRdB_setpoint, sim_in.foff_Hz, sim_in.channel, tx);
+
+  % optional BPF
+  if strcmp(sim_in.mode,"datac4") || strcmp(sim_in.mode,"datac13")
+    [rx delay_samples] = ofdm_complex_bandpass_filter(states, sim_in.mode, rx);
+    l = length(rx); rx = [rx(delay_samples:l) zeros(1,delay_samples)];
+  end
+endfunction
+
+
+function results = evaluate_candidate(states, det, i, Nsamperburstpadded, ct_target, foff_Hz, ttol_samples, ftol_hz)
+  results.candidate = 0;
+  if det.timing_mx > states.timing_mx_thresh
+    % OK we have located a candidate peak
+    
+    % re-base ct_est to be wrt start of current burst reference frame
+    ct_est = det.ct_est - (i-1)*Nsamperburstpadded;
+        
+    delta_ct = abs(ct_est-ct_target);
+    delta_foff = det.foff_est-foff_Hz;
+	
+    ok = (abs(delta_ct) < ttol_samples) && (abs(delta_foff) < ftol_hz);
+    
+    results.candidate = 1; results.ct_est = ct_est; results.delta_ct = delta_ct; results.delta_foff = delta_foff; results.ok = ok;
+  end    
+endfunction
+
+
+% test frame by frame acquisition algorithm
+
+function Pa = frame_by_frame_acquisition_test(mode="datac1", Ntests=10, channel="awgn", SNR3kdB=100, foff_Hz=0, verbose_top=0) 
+  sim_in.SNR3kdB = SNR3kdB;
+  sim_in.channel = channel;
+  sim_in.foff_Hz = foff_Hz;  
+  sim_in.mode = mode;
+  sim_in.Nbursts = Ntests;
+  [rx tx_preamble tx_postamble Nsamperburst Nsamperburstpadded ct_targets states] = generate_bursts(sim_in);
+  states.verbose = bitand(verbose_top,3);
+  ofdm_load_const;
+  
+  timing_mx_log = []; ct_log = []; delta_ct_log = []; delta_foff_log = []; state_log = [];
+
+  % allowable tolerance for acquistion
+  ftol_hz = 2;              % we can sync up on this (todo: make mode selectable)
+  ttol_samples = 0.006*Fs;  % CP length (todo: make mode selectable)
+  target_acq = zeros(1,Ntests);
+  
+  state = 'acquisition';
+  
+  for n=1:Nsamperframe:length(rx)-2*Nsamperframe
+     pre = burst_acquisition_detector(states, rx, n, tx_preamble);   
+     post = burst_acquisition_detector(states, rx, n, tx_postamble);
+     
+     % adjust time reference for this simulation
+     pre.ct_est += n;
+     post.ct_est += n;
+
+     timing_mx_log = [timing_mx_log [pre.timing_mx; post.timing_mx]];
+     
+     % state machine to simulate acquisition/demod processing
+     
+     next_state = state;
+     if strcmp(state,'acquisition')
+       state_log = [state_log 0];
+
+       % work out what burst we are evaluating
+       i = ceil(n/Nsamperburstpadded); % i-th burst we are evaluating
+       w = (i-1)*Nsamperburstpadded;   % offset of burst in s() for plotting purposes
+       ct_target_pre = ct_targets(i);
+       ct_target_post = ct_targets(i) + Nsamperburst - length(tx_preamble);
+
+       pre_eval = evaluate_candidate(states, pre, i, Nsamperburstpadded, ct_target_pre, foff_Hz, ttol_samples, ftol_hz);
+       post_eval = evaluate_candidate(states, post, i, Nsamperburstpadded, ct_target_post, foff_Hz, ttol_samples, ftol_hz);
+     
+       if pre_eval.candidate
+         if pre_eval.ok == 0
+           target_acq(i) = -1; % flag bad candidate
+         end
+         if pre_eval.ok && (target_acq(i) == 0)
+           target_acq(i) = 1;  % flag a successful acquisition
+           next_state = "demod";
+           modem_frame = 0;
+         end
+         delta_ct_log = [delta_ct_log pre_eval.delta_ct];
+         delta_foff_log = [delta_foff_log pre_eval.delta_foff];
+         ct_log = [ct_log w+pre_eval.ct_est];
+         if states.verbose
+           printf("Pre  i: %2d n: %8d ct_est: %6d delta_ct: %6d foff_est: %5.1f timing_mx: %3.2f Acq: %2d\n",
+                  i, n, pre_eval.ct_est, pre_eval.delta_ct, pre.foff_est, pre.timing_mx, target_acq(i));
+         end
+       end
+         
+       if post_eval.candidate
+         if post_eval.ok == 0
+           target_acq(i) = -1; % flag bad candidate
+         end
+         if post_eval.ok && (target_acq(i) == 0)
+           target_acq(i) = 1;  % flag a successful acquisition 
+           next_state = "demod";
+           modem_frame = Np-2;                               
+         end
+         delta_ct_log = [delta_ct_log post_eval.delta_ct];
+         delta_foff_log = [delta_foff_log post_eval.delta_foff];
+         ct_log = [ct_log w+post_eval.ct_est];
+         if states.verbose
+           printf("Post i: %2d n: %8d ct_est: %6d delta_ct: %6d foff_est: %5.1f timing_mx: %3.2f Acq: %2d\n",
+                  i, n, post_eval.ct_est, post_eval.delta_ct, post.foff_est, post.timing_mx, target_acq(i));
+         end
+       end
+     end
+    
+     if strcmp(state, "demod")
+        state_log = [state_log 1];
+        modem_frame++;
+        if modem_frame > states.Np
+          next_state = "acquisition";
+        end
+     end
+     
+     state = next_state;         
+  end
+  
+  if bitand(verbose_top,8)
+    figure(1); clf; 
+               plot(timing_mx_log(1,:),'+-;preamble;'); 
+               hold on; 
+               plot(timing_mx_log(2,:),'o-;postamble;'); 
+               plot(0.45+0.1*state_log,'-g;state;'); 
+               title('mx log'); axis([0 length(timing_mx_log) 0 1.0]); grid;
+               hold off;
+    figure(4); clf; plot(real(rx)); axis([0 length(rx) -3E4 3E4]);
+               hold on;
+               plot(ct_log,zeros(1,length(ct_log)),'r+','markersize', 25, 'linewidth', 2);
+               hold off; 
+    figure(5); clf; plot_specgram(rx, Fs, 500, 2500);
+    all_mx = [ timing_mx_log(1,:) timing_mx_log(2,:)];
+    figure(6); clf; [nn xx] = hist(all_mx); semilogy(xx,nn+1); grid;
+    figure(7); clf; cdf = empirical_cdf(0:0.1:1,all_mx); plot(0:0.1:1, cdf); grid;
+
+  end
+  
+  Pacq = length(find(target_acq == 1))/Ntests;
+  Pfalse_acq = length(find(target_acq == -1))/Ntests;
+  printf("%s %s SNR: %3.1f foff: %3.1f P(acq) = %3.2f P(false_acq) = %3.2f\n", mode, channel, SNR3kdB, foff_Hz,
+         Pacq, Pfalse_acq);
+endfunction
+
+
+% test frame by frame across modes, channels, and SNR (don't worry about sweeping freq)
+
+function acquistion_curves_frame_by_frame_modes_channels_snr(Ntests=5, quick_test=0)
+  modes={'datac0', 'datac1', 'datac3'};
+  if quick_test
+    Ntests = 5;
+    channels={'awgn','mpp'}; SNR = [0 5];
+  else
+    channels={'awgn', 'mpm', 'mpp', 'notch'};
+    SNR = [ -10 -5 -3.5 -1.5 0 1.5 3.5 5 7.5 10 15];
+  end
+  
+  cc = ['b' 'g' 'k' 'c' 'm' 'r'];
+  pt = ['+' '*' 'x' 'o' '+' '*'];
+ 
+  for i=1:length(modes)
+    figure(i); clf; hold on; title(sprintf("%s P(acquisition)", modes{i}));
+  end
+  
+  for m=1:length(modes)
+    figure(m);
+    for c=1:length(channels)
+      Pa_log = [];
+      for s=1:length(SNR)
+        Pa = frame_by_frame_acquisition_test(modes{m}, Ntests, channels{c}, SNR(s), foff_hz=0, verbose=1);
+        Pa_log = [Pa_log Pa];
+      end
+      l = sprintf('%c%c-;%s;', cc(c), pt(c), channels{c}); 
+      plot(SNR, Pa_log, l, 'markersize', 10);
+    end
+  end
+  
+  for i=1:length(modes)
+    figure(i); grid;
+    xlabel('SNR3k dB'); legend('location', 'southeast'); 
+    xlim([min(SNR)-2 max(SNR)+2]); ylim([0 1.1]);
+    print('-dpng', sprintf("%s_ofdm_dev_acq_curves_fbf_%s.png", datestr(clock(),"yyyy-mm-dd"), modes{i}));
+  end 
+endfunction
+
+% main starts here -----------------------------------------
+
+format;
+more off;
+pkg load signal;
+graphics_toolkit ("gnuplot");
+randn('seed',1);
+
+% ---------------------------------------------------------
+% choose simulation to run here 
+% ---------------------------------------------------------
+
+if exist("ctest","var")
+  % simple tests to run as part of ctests
+  frame_by_frame_acquisition_test("datac0", Ntests=5, 'mpp', SNR3kdB=5, foff_hz=0, verbose=1+8);
+else
+  % other development work here
+  frame_by_frame_acquisition_test("datac13", Ntests=100, 'mpp', SNR3kdB=-4, foff_hz=0, verbose=1+8);
+  %acquistion_curves_frame_by_frame_modes_channels_snr(Ntests=50, quick_test=0)
+end
diff --git a/octave/ofdm_demod_c.m b/octave/ofdm_demod_c.m
new file mode 100644
index 0000000..531a649
--- /dev/null
+++ b/octave/ofdm_demod_c.m
@@ -0,0 +1,43 @@
+% ofdm_demod_c.m
+% David Rowe April 2018
+%
+% Plots data from The C OFDM demodulator ofdm_demod, in similar format to
+% plots from Octave OFDM demodulator ofdm_rx.m
+%
+% Useful for of line analysis of a demod run
+
+function ofdm_demod_c(filename, mode="700D")
+  ofdm_lib;
+  more off;
+
+  % init modem
+
+  config = ofdm_init_mode(mode);
+  states = ofdm_init(config);
+  ofdm_load_const;
+  states.verbose = 0;
+
+  load(filename);
+  
+  figure(1); clf; 
+  plot(rx_np_log_c,'+');
+  mx = 2*max(abs(rx_np_log_c));
+  axis([-mx mx -mx mx]);
+  title('Scatter');
+
+  figure(2); clf;
+  plot(phase_est_pilot_log_c(:,2:Nc),'g+', 'markersize', 5); 
+  title('Phase Est');
+  axis([1 length(phase_est_pilot_log_c) -pi pi]);  
+
+  figure(3); clf;
+  stem(timing_est_log_c)
+  title('Timing Est');
+
+  figure(4); clf;
+  plot(foff_hz_log_c)
+  mx = max(abs(foff_hz_log_c))+1;
+  axis([1 max(length(foff_hz_log_c),2) -mx mx]);
+  title('Fine Freq');
+  ylabel('Hz')
+endfunction
diff --git a/octave/ofdm_helper.m b/octave/ofdm_helper.m
new file mode 100644
index 0000000..b34ec23
--- /dev/null
+++ b/octave/ofdm_helper.m
@@ -0,0 +1,272 @@
+% ofdm_helper.m
+%
+% Misc functions that are used to support OFDM modem development, that
+% aren't required for modem operation
+
+1;
+
+%------------------------------------------------------------------------------
+% print_config - utility function to use ascii-art to describe the modem frame
+%------------------------------------------------------------------------------
+
+function print_config(states)
+  ofdm_load_const;
+
+  % ASCII-art packet visualisation
+  s=1; u=1; Nuwsyms=length(uw_ind_sym);
+  cr = 1:Nc+2;
+  for f=1:Np
+    for r=1:Ns
+      for c=cr
+        if r == 1
+          if (c==1) && states.edge_pilots
+            sym="P";
+          elseif (c==Nc+1) && states.edge_pilots
+            sym="P";
+          elseif c>1 && c <=(Nc+1)
+            sym="P";
+          else
+            sym=" ";
+          end
+        elseif c>1 && c <=(Nc+1)
+          sym=".";
+          if (u <= Nuwsyms) && (s == uw_ind_sym(u)) sym="U"; u++; end
+          s++;
+        else
+          sym=" ";
+        end
+        printf("%s",sym);
+      end
+      printf("\n");
+    end
+  end
+
+  printf("Nc=%d Ts=%4.3f Tcp=%4.3f Ns: %d Np: %d\n", Nc, 1/Rs, Tcp, Ns, Np);
+  printf("Nsymperframe: %d Nbitsperpacket: %d Nsamperframe: %d Ntxtbits: %d Nuwbits: %d Nuwframes: %d\n",
+          Ns*Nc, Nbitsperpacket, Nsamperframe, Ntxtbits, Nuwbits, Nuwframes);
+  printf("uncoded bits/s: %4.1f\n",  Nbitsperpacket*Fs/(Np*Nsamperframe));
+end
+
+%-----------------------------------------------------------------------
+% create_ldpc_test_frame - generate a test frame of bits
+%-----------------------------------------------------------------------
+
+function [tx_bits payload_data_bits codeword] = create_ldpc_test_frame(states, coded_frame=1)
+  ofdm_load_const;
+  ldpc;
+  gp_interleaver;
+
+  if coded_frame
+    % Set up LDPC code
+
+    mod_order = 4; bps = 2; modulation = 'QPSK'; mapping = 'gray';
+
+    init_cml(); % TODO: make this path sensible and portable
+    load HRA_112_112.txt
+    [code_param framesize rate] = ldpc_init_user(HRA_112_112, modulation, mod_order, mapping);
+    assert(Nbitsperframe == (code_param.coded_bits_per_frame + Nuwbits + Ntxtbits));
+
+    payload_data_bits = round(ofdm_rand(code_param.data_bits_per_frame)/32767);
+    codeword = LdpcEncode(payload_data_bits, code_param.H_rows, code_param.P_matrix);
+    Nsymbolsperframe = length(codeword)/bps;
+
+    % need all these steps to get actual raw codeword bits at demod ..
+
+    tx_symbols = [];
+    for s=1:Nsymbolsperframe
+      tx_symbols = [tx_symbols qpsk_mod( codeword(2*(s-1)+1:2*s) )];
+    end
+
+    tx_symbols = gp_interleave(tx_symbols);
+
+    codeword_raw = [];
+    for s=1:Nsymbolsperframe
+      codeword_raw = [codeword_raw qpsk_demod(tx_symbols(s))];
+    end
+  else
+    codeword_raw = round(ofdm_rand(Nbitsperpacket-(Nuwbits+Ntxtbits))/32767);
+  end
+
+  % insert UW and txt bits
+
+  tx_bits = assemble_modem_packet(states, codeword_raw, zeros(1,Ntxtbits));
+  assert(Nbitsperpacket == length(tx_bits));
+
+endfunction
+
+% automated test
+
+function test_assemble_disassemble(states)
+  ofdm_load_const;
+
+  Nsymsperpacket = Nbitsperpacket/bps;
+  Ndatabitsperpacket = Nbitsperpacket-(Nuwbits+Ntxtbits);
+  Ndatasymsperpacket = Ndatabitsperpacket/bps;
+  codeword_bits = round(ofdm_rand(Ndatabitsperpacket)/32767);
+  tx_bits = assemble_modem_packet(states, codeword_bits, zeros(1,Ntxtbits));
+
+  tx_syms = zeros(1,Nsymsperpacket);
+  for s=1:Nsymsperpacket
+    if bps == 2
+      tx_syms(s) = qpsk_mod(tx_bits(bps*(s-1)+1:bps*s));
+    elseif bps == 4
+      tx_syms(s) = qam16_mod(states.qam16,tx_bits(bps*(s-1)+1:bps*s));
+    end
+  end
+  codeword_syms = zeros(1,Ndatasymsperpacket);
+  for s=1:Ndatasymsperpacket
+    if bps == 2
+      codeword_syms(s) = qpsk_mod(codeword_bits(bps*(s-1)+1:bps*s));
+    elseif bps == 4
+      codeword_syms(s) = qam16_mod(states.qam16,codeword_bits(bps*(s-1)+1:bps*s));
+    end
+  end
+
+  [rx_uw rx_codeword_syms payload_amps txt_bits] = disassemble_modem_packet(states, tx_syms, ones(1,Nsymsperpacket));
+  assert(rx_uw == states.tx_uw);
+  Ndatasymsperframe = (Nbitsperpacket-(Nuwbits+Ntxtbits))/bps;
+  assert(codeword_syms == rx_codeword_syms);
+endfunction
+
+% test function, kind of like a CRC for QPSK symbols, to compare two vectors
+
+function acc = test_acc(v)
+  sre = 0; sim = 0;
+  for i=1:length(v)
+    x = v(i);
+    re = round(real(x)); im = round(imag(x));
+    sre += re; sim += im;
+    %printf("%d %10f %10f %10f %10f\n", i, re, im, sre, sim);
+  end
+  acc = sre + j*sim;
+end
+
+
+% Save test bits frame to a text file in the form of a C array
+%
+% usage:
+%   ofdm_lib; test_bits_ofdm_file
+%
+
+function test_bits_ofdm_file
+  Ts = 0.018; Tcp = 0.002; Rs = 1/Ts; bps = 2; Nc = 17; Ns = 8;
+  states = ofdm_init(bps, Rs, Tcp, Ns, Nc);
+  [test_bits_ofdm payload_data_bits codeword] = create_ldpc_test_frame(states);
+  printf("%d test bits\n", length(test_bits_ofdm));
+
+  f=fopen("../src/test_bits_ofdm.h","wt");
+  fprintf(f,"/* Generated by test_bits_ofdm_file() Octave function */\n\n");
+  fprintf(f,"const int test_bits_ofdm[]={\n");
+  for m=1:length(test_bits_ofdm)-1
+    fprintf(f,"  %d,\n",test_bits_ofdm(m));
+  endfor
+  fprintf(f,"  %d\n};\n",test_bits_ofdm(end));
+
+  fprintf(f,"\nconst int payload_data_bits[]={\n");
+  for m=1:length(payload_data_bits)-1
+    fprintf(f,"  %d,\n",payload_data_bits(m));
+  endfor
+  fprintf(f,"  %d\n};\n",payload_data_bits(end));
+
+  fprintf(f,"\nconst int test_codeword[]={\n");
+  for m=1:length(codeword)-1
+    fprintf(f,"  %d,\n",codeword(m));
+  endfor
+  fprintf(f,"  %d\n};\n",codeword(end));
+
+  fclose(f);
+
+endfunction
+
+
+% Get rid of nasty unfiltered stuff either side of OFDM signal
+% This may need to be tweaked, or better yet made a function of Nc, if Nc changes
+%
+% usage:
+%  ofdm_lib; make_ofdm_bpf(1);
+
+function bpf_coeff = make_ofdm_bpf(write_c_header_file)
+  filt_n = 100;
+  Fs = 8000;
+
+  bpf_coeff  = fir2(filt_n,[0 900 1000 2000 2100 4000]/(Fs/2),[0.001 0.001 1 1 0.001 0.001]);
+
+  if write_c_header_file
+    figure(1)
+    clf;
+    h = freqz(bpf_coeff,1,Fs/2);
+    plot(20*log10(abs(h)))
+    grid minor
+
+    % save coeffs to a C header file
+
+    f=fopen("../src/ofdm_bpf_coeff.h","wt");
+    fprintf(f,"/* 1000 - 2000 Hz FIR filter coeffs */\n");
+    fprintf(f,"/* Generated by make_ofdm_bpf() in ofdm_lib.m */\n");
+
+    fprintf(f,"\n#define OFDM_BPF_N %d\n\n", filt_n);
+
+    fprintf(f,"float ofdm_bpf_coeff[]={\n");
+    for r=1:filt_n
+      if r < filt_n
+        fprintf(f, "  %f,\n",  bpf_coeff(r));
+      else
+        fprintf(f, "  %f\n};", bpf_coeff(r));
+      end
+    end
+    fclose(f);
+  end
+
+endfunction
+
+% Helper function to help design UW error thresholds, in particular for raw
+% data modes.  See also https://www.rowetel.com/wordpress/?p=7467
+function ofdm_determine_bad_uw_errors(Nuw)
+   figure(1); clf;
+   
+   % Ideally the 10% and 50% BER curves are a long way apart
+   
+   plot(0:Nuw, binocdf(0:Nuw,Nuw,0.1),';BER=0.1;'); hold on; 
+   plot(binocdf(0:Nuw,Nuw,0.5),';BER=0.5;'); 
+   
+   % Suggested threshold for raw data modes is the 5% probability
+   % level for the 50% BER curve.  The pre/post-amble has a low chance
+   % of failure.  If it does make an error, then we will have random
+   % bits presented as the UW (50% BER in UW). This threshold means
+   % there is only a 5% case of random bits being accepted as a valid UW
+ 
+   bad_uw_errors = max(find(binocdf(0:Nuw,Nuw,0.5) <= 0.05))+1; 
+   plot([bad_uw_errors bad_uw_errors],[0 1],';bad uw errors;'); hold off; grid
+   
+   xlabel('bits');
+   printf("for Nuw = %d, suggest bad_uw_errors = %d\n", Nuw, bad_uw_errors);
+end
+
+% Returns level threshold such that threshold_cdf of the tx magnitudes are 
+% beneath that level.  Helper function that can be used to design 
+% the clipper level.  See also https://www.rowetel.com/?p=7596
+function threshold_level = ofdm_determine_clip_threshold(tx, threshold_cdf)
+  Nsteps = 25;
+  mx = max(abs(tx));
+  cdf = empirical_cdf(mx*(1:Nsteps)/Nsteps,abs(tx));
+  threshold_level = find(cdf >= threshold_cdf)(1)*mx/25;
+  printf("threshold_cdf: %f threshold_level: %f\n", threshold_cdf, threshold_level);
+  figure(1); clf; [hh nn] = hist(abs(tx),Nsteps,1);
+  plotyy(nn,hh,mx*(1:Nsteps)/Nsteps,cdf); title('PDF and CDF Estimates'); grid;
+end
+
+
+%  helper function that adds channel simulation and ensures we don't saturate int16 output samples  
+function [rx_real rx] = ofdm_channel(states, tx, SNR3kdB, channel, freq_offset_Hz)
+  [rx_real rx sigma] = channel_simulate(states.Fs, SNR3kdB, freq_offset_Hz, channel, tx, states.verbose);
+    
+  % multipath models can lead to clipping of int16 samples
+  num_clipped = length(find(abs(rx_real>32767)));
+  while num_clipped/length(rx_real) > 0.001
+    rx_real /= 2;
+    num_clipped = length(find(abs(rx_real>32767)));
+    printf("WARNING: output samples clipped, reducing level\n")
+  end
+endfunction
+
+
diff --git a/octave/ofdm_ldpc_rx.m b/octave/ofdm_ldpc_rx.m
new file mode 100644
index 0000000..6ef15aa
--- /dev/null
+++ b/octave/ofdm_ldpc_rx.m
@@ -0,0 +1,279 @@
+% ofdm_ldpc_rx.m
+% David Rowe April 2017
+%
+% OFDM file based rx, with LDPC and interleaver, Octave version of src/ofdm_demod.c
+
+#{
+    1. Streaming mode operation:
+  
+       ofdm_ldpc_rx("test_700d.raw","700D")
+    
+    2. Burst mode, tell state machine there is one packet in each burst:
+    
+       ofdm_ldpc_rx("test_datac0.raw","datac0","packetsperburst",1)
+       
+#}
+
+function ofdm_ldpc_rx(filename, mode="700D", varargin)
+  ofdm_lib;
+  ldpc;
+  gp_interleaver;
+  more off;
+  pkg load signal;
+
+  % init modem
+
+  config = ofdm_init_mode(mode);
+  states = ofdm_init(config);
+  ofdm_load_const;
+  states.verbose = 1;
+  pass_packet_count = 0;
+ 
+  i=1;
+  while i <= length(varargin)
+    if strcmp(varargin{i},"packetsperburst")
+      states.data_mode = "burst"; % use pre/post amble based sync
+      states.packetsperburst = varargin{i+1}; i++;
+      states.postambledetectoren = 1;
+    elseif strcmp(varargin{i},"passpacketcount")
+      pass_packet_count = varargin{i+1}; i++;
+    else
+      printf("\nERROR unknown argument: [%d] %s \n", i ,varargin{i});
+      return;
+    end  
+    i++;
+  end
+
+  % some constants used for assembling modem frames
+
+  [code_param Nbitspercodecframe Ncodecframespermodemframe] = codec_to_frame_packing(states, mode);
+
+  % load real samples from file
+
+  Ascale= states.amp_scale/2.0;  % /2 as real signal has half amplitude
+  frx=fopen(filename,"rb"); rx = fread(frx, Inf, "short")/Ascale; fclose(frx);
+  Nsam = length(rx);
+  prx = 1;
+
+  % Generate tx frame for BER calcs
+
+  payload_bits = round(ofdm_rand(code_param.data_bits_per_frame)/32767);
+  tx_bits = fec_encode(states, code_param, mode, payload_bits, Ncodecframespermodemframe, Nbitspercodecframe);
+
+  % Some handy constants
+
+  Nsymsperframe = Nbitsperframe/bps;
+  Nsymsperpacket = Nbitsperpacket/bps;
+  Ncodedbitsperpacket = code_param.coded_bits_per_frame;
+  Ncodedsymsperpacket = code_param.coded_syms_per_frame;
+
+  % init logs and BER stats
+
+  rx_bits = []; rx_np_log = []; timing_est_log = []; delta_t_log = []; foff_est_hz_log = [];
+  channel_est_pilot_log = []; snr_log = []; mean_amp_log = [];
+  Terrs = Tbits = Terrs_coded = Tbits_coded = Perrs_coded = 0;
+  Nerrs_coded_log = Nerrs_log = [];
+  error_positions = [];
+  Nerrs_coded = Nerrs_raw = 0;
+  paritychecks = [0];
+  EsNo = 1;
+  rx_uw = zeros(1,states.Nuwbits);
+
+  rx_syms = zeros(1,Nsymsperpacket); rx_amps = zeros(1,Nsymsperpacket);
+  packet_count = frame_count = 0;
+
+  % main loop ----------------------------------------------------------------
+
+  rx = ofdm_rx_filter(states, mode, rx);
+  
+  f = 1;
+  while(prx < Nsam)
+
+    % insert samples at end of buffer, set to zero if no samples
+    % available to disable phase estimation on future pilots on last
+    % frame of simulation
+
+    lnew = min(Nsam-prx,states.nin);
+    rxbuf_in = zeros(1,states.nin);
+
+    if lnew
+      rxbuf_in(1:lnew) = rx(prx:prx+lnew-1);
+    end
+    prx += states.nin;
+
+    if states.verbose
+      printf("f: %3d nin: %4d st: %-6s ", f, states.nin, states.sync_state);
+    end
+
+    if strcmp(states.sync_state,'search')
+      [timing_valid states] = ofdm_sync_search(states, rxbuf_in);
+    else
+      % accumulate a buffer of data symbols for this packet
+      rx_syms(1:end-Nsymsperframe) = rx_syms(Nsymsperframe+1:end);
+      rx_amps(1:end-Nsymsperframe) = rx_amps(Nsymsperframe+1:end);
+      [states rx_bits achannel_est_pilot_log arx_np arx_amp] = ofdm_demod(states, rxbuf_in);
+      rx_syms(end-Nsymsperframe+1:end) = arx_np;
+      rx_amps(end-Nsymsperframe+1:end) = arx_amp;
+
+      rx_uw = extract_uw(states, rx_syms(end-Nuwframes*Nsymsperframe+1:end), rx_amps(end-Nuwframes*Nsymsperframe+1:end));
+
+      % We need the full packet of symbols before disassembling and checking for bit errors
+      if (states.modem_frame == (states.Np-1))
+        packet_count++;
+
+        % unpack, de-interleave PSK symbols and symbol amplitudes
+        [rx_uw_unused payload_syms payload_amps txt_bits] = disassemble_modem_packet(states, rx_syms, rx_amps);
+        payload_syms_de = gp_deinterleave(payload_syms);
+        payload_amps_de = gp_deinterleave(payload_amps);
+
+        % Count uncoded (raw) errors
+        rx_bits = zeros(1,Ncodedbitsperpacket);
+        for s=1:Ncodedsymsperpacket
+          if bps == 2 rx_bits(2*s-1:2*s) = qpsk_demod(payload_syms_de(s)); end
+          if bps == 4 rx_bits(bps*(s-1)+1:bps*s) = qam16_demod(states.qam16,payload_syms_de(s), payload_amps_de(s)); end
+        end
+        errors = xor(tx_bits, rx_bits);
+        Nerrs = sum(errors);
+        Nerrs_log = [Nerrs_log Nerrs]; Nerrs_raw = Nerrs;
+        Terrs += Nerrs;
+        Tbits += Nbitsperpacket;
+
+        % LDPC decode
+
+        % keep earlier mean amplitude estimator for compatibility with 700D
+        if states.amp_est_mode == 0
+          mean_amp = states.mean_amp;
+        else
+          mean_amp = mean(payload_amps_de)+1E-12;
+        end
+        mean_amp_log = [mean_amp_log mean_amp];
+
+        % used fixed EsNo est, as EsNo estimator for QAM not working very well at this stage
+        EsNo = 10^(states.EsNodB/10);
+
+        % TODO 2020 support for padding with known data bits
+
+        [rx_bits paritychecks] = fec_decode(states, code_param, payload_syms_de,...
+                                            payload_amps_de, mean_amp, EsNo);
+        errors = xor(payload_bits, rx_bits);
+        Nerrs_coded  = sum(errors);
+
+        if Nerrs_coded Perrs_coded++; end
+        Terrs_coded += Nerrs_coded;
+        Tbits_coded += code_param.data_bits_per_frame;
+        Nerrs_coded_log = [Nerrs_coded_log Nerrs_coded];
+        
+        % per-packet SNR estimate
+        EsNo_estdB = esno_est_calc(rx_syms);
+        SNR_estdB = snr_from_esno(states, EsNo_estdB);
+        snr_log = [snr_log SNR_estdB];
+      end
+
+      % we are in sync so log modem states
+
+      rx_np_log = [rx_np_log arx_np];
+      timing_est_log = [timing_est_log states.timing_est];
+      delta_t_log = [delta_t_log states.delta_t];
+      foff_est_hz_log = [foff_est_hz_log states.foff_est_hz];
+      channel_est_pilot_log = [channel_est_pilot_log; achannel_est_pilot_log];
+      frame_count++;
+    end
+
+    states = sync_state_machine(states, rx_uw);
+
+    if states.verbose
+      if strcmp(states.last_sync_state,'search') == 0
+        pcc = max(paritychecks);
+        iter = 0;
+        for i=1:length(paritychecks)
+          if paritychecks(i) iter=i; end
+        end
+        % complete logging line
+        if (states.modem_frame == 0) && (strcmp(states.last_sync_state, "trial") == 0)
+            printf("euw: %3d %d mf: %2d pbw: %s foff: %4.1f eraw: %3d ecod: %3d iter: %3d pcc: %3d snr: %5.2f",
+                    states.uw_errors, states.sync_counter, states.modem_frame, states.phase_est_bandwidth(1), states.foff_est_hz,
+                    Nerrs_raw, Nerrs_coded, iter, pcc, SNR_estdB);
+        else
+            printf("euw: %3d %d mf: %2d pbw: %s foff: %4.1f",
+                    states.uw_errors, states.sync_counter, states.modem_frame, states.phase_est_bandwidth(1), states.foff_est_hz);        
+        end
+      end
+      printf("\n");
+    end
+
+    % reset stats if in streaming mode, don't reset if in burst mode
+    if strcmp(states.data_mode, "streaming") && states.sync_start
+      Nerrs_raw = Nerrs_coded = 0;
+      Nerrs_log = [];
+      Terrs = Tbits = 0;
+      Tpacketerrs = Tpackets = 0;
+      Terrs_coded = Tbits_coded = 0;
+      error_positions = Nerrs_coded_log = [];
+    end
+    f++;
+  end
+  Nframes = f;
+  
+  printf("Raw BER..: %5.4f Tbits: %5d Terrs: %5d SNR3k: %5.2f\n", Terrs/(Tbits+1E-12), Tbits, Terrs, mean(snr_log));
+  printf("Coded BER: %5.4f Tbits: %5d Terrs: %5d\n", Terrs_coded/(Tbits_coded+1E-12), Tbits_coded, Terrs_coded);
+  printf("Coded PER: %5.4f Pckts: %5d Perrs: %5d Npre: %d Npost: %d\n", 
+         Perrs_coded/(packet_count+1E-12), packet_count, Perrs_coded,  states.npre, states.npost);
+
+  if length(rx_np_log)
+      figure(1); clf;
+      plot(exp(j*pi/4)*rx_np_log(floor(end/4):floor(end-end/8)),'+');
+      mx = 2*mean(abs(channel_est_pilot_log(:)));
+      axis([-mx mx -mx mx]);
+      title('Scatter');
+
+      figure(2); clf;
+      plot(angle(channel_est_pilot_log),'g+', 'markersize', 5);
+      title('Phase est');
+      axis([1 length(channel_est_pilot_log) -pi pi]);
+
+      figure(3); clf;
+      amp_est = abs(channel_est_pilot_log);
+      plot(amp_est,'g+', 'markersize', 5);
+      title('Amp est');
+      axis([1 length(channel_est_pilot_log) min(amp_est(:)) max(amp_est(:))]);
+
+      figure(4); clf;
+      subplot(211); plot(snr_log); ylabel('SNR3kdB');
+      subplot(212); plot(mean_amp_log); ylabel('mean amp');
+
+      figure(5); clf;
+      subplot(211)
+      stem(delta_t_log)
+      title('delta t');
+      subplot(212)
+      plot(timing_est_log);
+      title('timing est');
+
+      figure(6); clf;
+      plot(foff_est_hz_log)
+      mx = max(max(abs(foff_est_hz_log)),1);
+      axis([1 max(Nframes,2) -mx mx]);
+      title('Fine Freq');
+      ylabel('Hz')
+  end
+
+  if length(Nerrs_log) > 1
+    figure(7); clf;
+    subplot(211)
+    stem(Nerrs_log);
+    title('Uncoded errors/modem frame')
+    axis([1 length(Nerrs_log) 0 Nbitsperpacket*0.2]);
+    if length(Nerrs_coded_log)
+      subplot(212)
+      stem(Nerrs_coded_log);
+      title('Coded errors/mode frame')
+      axis([1 length(Nerrs_coded_log) 0 Nbitsperpacket*0.2]);
+    end
+  end
+
+  figure(9); clf; plot_specgram(rx, Fs=8000, 0, 3000);
+
+  if pass_packet_count > 0
+    if packet_count >= pass_packet_count printf("Pass!\n"); else printf("Fail!\n"); end;
+  end
+endfunction
diff --git a/octave/ofdm_ldpc_tx.m b/octave/ofdm_ldpc_tx.m
new file mode 100644
index 0000000..031c20d
--- /dev/null
+++ b/octave/ofdm_ldpc_tx.m
@@ -0,0 +1,144 @@
+% ofdm_ldpc_tx.m
+% David Rowe April 2017
+%
+% File based ofdm tx with LDPC encoding and interleaver.  Generates a
+% file of ofdm samples, including optional channel simulation.
+
+#{ 
+  1. 10 seconds, AWGN channel at SNR3k=3dB
+
+    octave:4> ofdm_ldpc_tx("test_700d.raw", "700D", 10, 3)
+
+  2. 10 seconds, multipath poor channel at SNR=6dB
+
+    octave:5> ofdm_ldpc_tx("test_700d.raw", "700D", 10, 6, "mpp")
+    
+  3. Data mode example, three bursts of one packet each, SNR=100dB:
+  
+    octave:6> ofdm_ldpc_tx("test_datac0.raw","datac0",1,100,"awgn","bursts",3)
+    
+  4. Data mode example, three bursts of one packet each, SNR=100dB, with CRC
+     to enable demodulation by freedv_data_raw_rx:
+  
+    octave:6> ofdm_ldpc_tx("test_datac0.raw","datac0",1,100,"awgn","bursts",3, "crc")
+    
+#}
+
+function ofdm_ldpc_tx(filename, mode="700D", N, SNR3kdB=100, channel='awgn', varargin)
+  ofdm_lib;
+  ldpc;
+  gp_interleaver;
+  channel_lib;
+  pkg load signal;
+  randn('seed',1);
+  more off;
+
+  tx_clip_en = 0; freq_offset_Hz = 0.0; burst_mode = 0; Nbursts = 1;
+  crc_mode = 0;
+  i = 1;
+  while i<=length(varargin)
+    if strcmp(varargin{i},"txclip") 
+      tx_clip_en = 1;
+    elseif strcmp(varargin{i},"bursts") 
+      burst_mode = 1;
+      Nbursts = varargin{i+1}; i++;
+    elseif strcmp(varargin{i},"crc") 
+      crc_mode = 1;
+     else
+      printf("\nERROR unknown argument: %s\n", varargin{i});
+      return;
+    end
+    i++;      
+  end
+ 
+  % init modem
+
+  config = ofdm_init_mode(mode);
+  states = ofdm_init(config);
+  print_config(states);
+  ofdm_load_const;
+
+  if burst_mode
+    % burst mode: treat N as Npackets
+    Npackets = N; 
+  else
+    % streaming mode: treat N as Nseconds
+    Npackets = round(N/states.Tpacket);
+  end
+
+  % some constants used for assembling modem frames
+  [code_param Nbitspercodecframe Ncodecframespermodemframe] = codec_to_frame_packing(states, mode);
+
+  % OK generate a modem frame using random payload bits
+
+  if strcmp(mode, "2020")
+    payload_bits = round(ofdm_rand(Ncodecframespermodemframe*Nbitspercodecframe)/32767);
+  else
+    payload_bits = round(ofdm_rand(code_param.data_bits_per_frame)/32767);
+    if crc_mode
+      unpacked_crc16 = crc16_unpacked(payload_bits(1:end-16));
+      payload_bits(end-15:end) = unpacked_crc16;
+    end
+  end
+  [packet_bits bits_per_packet] = fec_encode(states, code_param, mode, payload_bits, Ncodecframespermodemframe, Nbitspercodecframe);
+
+  % modulate to create symbols and interleave
+  tx_symbols = [];
+  for b=1:bps:bits_per_packet
+    if bps == 2 tx_symbols = [tx_symbols qpsk_mod(packet_bits(b:b+bps-1))]; end
+    if bps == 4 tx_symbols = [tx_symbols qam16_mod(states.qam16, packet_bits(b:b+bps-1))]; end
+  end
+  assert(gp_deinterleave(gp_interleave(tx_symbols)) == tx_symbols);
+  tx_symbols = gp_interleave(tx_symbols);
+
+  % generate txt (non FEC protected) symbols
+  txt_bits = zeros(1,Ntxtbits);
+  txt_symbols = [];
+  for b=1:bps:length(txt_bits)
+    if bps == 2 txt_symbols = [txt_symbols qpsk_mod(txt_bits(b:b+bps-1))]; end
+    if bps == 4 txt_symbols = [txt_symbols qam16_mod(states.qam16,txt_bits(b:b+bps-1))]; end
+  end
+
+  % assemble interleaved modem packet that include UW and txt symbols
+  modem_packet = assemble_modem_packet_symbols(states, tx_symbols, txt_symbols);
+
+  % sanity check
+  [rx_uw rx_codeword_syms payload_amps txt_bits] = disassemble_modem_packet(states, modem_packet, ones(1,length(modem_packet)));
+  assert(rx_uw == states.tx_uw);
+
+  % create a burst of concatenated packets
+  atx = ofdm_txframe(states, modem_packet); tx = [];
+  for f=1:Npackets
+    tx = [tx atx];
+  end
+  if length(states.data_mode)
+    % note for burst mode postamble provides a "column" of pilots at the end of the burst
+    tx = [states.tx_preamble tx states.tx_postamble];
+  end
+  
+  % if burst mode concatenate multiple bursts with spaces
+  if burst_mode
+    atx = tx; tx = zeros(1,states.Fs); on_time = 0; off_time = states.Fs;
+    for b=1:Nbursts
+      tx = [tx atx zeros(1,states.Fs)];
+      on_time += length(atx);
+      off_time += states.Fs;
+    end
+    % adjust channel simulator SNR setpoint given (burst on length)/(total length including silence) ratio
+    mark_space_SNR_offset = 10*log10(on_time/(on_time+off_time));
+    SNRdB_setpoint = SNR3kdB + mark_space_SNR_offset;
+    printf("SNR3kdB: %4.2f Burst offset: %4.2f SNRdB_setpoint: %4.2f\n", SNR3kdB, mark_space_SNR_offset, SNRdB_setpoint)
+  else
+    SNRdB_setpoint = SNR3kdB; % no adjustment to SNR in streaming mode
+  end
+
+  printf("Npackets: %d  Nbursts: %d  ", Npackets, Nbursts);
+  states.verbose=1;
+  tx = ofdm_hilbert_clipper(states, tx, tx_clip_en);
+  [rx_real rx] = ofdm_channel(states, tx, SNRdB_setpoint, channel, freq_offset_Hz);
+  frx = fopen(filename,"wb"); fwrite(frx, rx_real, "short"); fclose(frx);
+  if length(rx) >= states.Fs
+    figure(1); clf; plot(20*log10(abs(fft(rx(1:states.Fs)/16384))));
+    axis([1 states.Fs -20 60])
+  end
+endfunction
diff --git a/octave/ofdm_lib.m b/octave/ofdm_lib.m
new file mode 100644
index 0000000..2d3a16e
--- /dev/null
+++ b/octave/ofdm_lib.m
@@ -0,0 +1,1284 @@
+% ofdm_lib.m
+% David Rowe Mar 2017
+
+#{
+  Library of functions that implement a PSK OFDM modem.
+#}
+
+1;
+qam16;
+esno_est;
+ofdm_mode;
+ofdm_state;
+ofdm_helper;
+
+%-------------------------------------------------------------
+% ofdm_init
+%-------------------------------------------------------------
+
+#{
+
+  Modem frame has a pilot every Ns symbols. There are Ns-1 data
+  symbols between every pilot.
+
+   e.g. for Ns=4, Nc=6:
+
+    |-Nc-|          Time
+    DDDDDD           |
+   PPPPPPPP  ---     |
+    DDDDDD    |      |
+    DDDDDD    Ns     |
+    DDDDDD    |      |
+   PPPPPPPP  ---    \|/
+    DDDDDD    |      |
+
+   Freq------------------>
+
+   In this figure, time flows down, freq across.
+#}
+
+function states = ofdm_init(config)
+  Rs = config.Rs; 
+  Tcp = config.Tcp; 
+  Ns = config.Ns; 
+  Nc = config.Nc;
+  bps = config.bps;
+  Np = config.Np;
+  Ntxtbits = config.Ntxtbits;
+  Nuwbits = config.Nuwbits;
+  ftwindow_width = config.ftwindow_width;
+  timing_mx_thresh = config.timing_mx_thresh;
+  tx_uw = config.tx_uw;
+  bad_uw_errors = config.bad_uw_errors;
+  amp_scale = config.amp_scale;
+  amp_est_mode = config.amp_est_mode;
+  EsNo_est_all_symbols = config.EsNo_est_all_symbols;
+  EsNodB = config.EsNodB; 
+  state_machine = config.state_machine; 
+  edge_pilots = config.edge_pilots;
+  clip_gain1 = config.clip_gain1;
+  clip_gain2 = config.clip_gain2;
+  foff_limiter = config.foff_limiter; 
+  txbpf_width_Hz = config.txbpf_width_Hz;
+  data_mode = config.data_mode;
+       
+  states.Fs = 8000;
+  states.bps = bps;
+  states.Rs = Rs;
+  states.Tcp = Tcp;
+  states.Ns = Ns;                                 % one pilot every Ns symbols, e.g. Ns=4, ...PDDDPDDDP...
+  states.Nc = Nc;                                 % Number of carriers
+  states.M  = states.Fs/Rs;                       % oversampling rate
+  states.Ncp = Tcp*states.Fs;
+  states.Nbitsperframe = (Ns-1)*Nc*bps;           % total bits in all data symbols in modem frame
+  states.Nsampersymbol = states.M+states.Ncp;     % number of samples in a single symbol
+  states.Nsamperframe  = Ns*states.Nsampersymbol; % number of samples in a modem frame
+  states.qam16 = [
+    1 + j,  1 + j*3,  3 + j,  3 + j*3;
+    1 - j,  1 - j*3,  3 - j,  3 - j*3;
+   -1 + j, -1 + j*3, -3 + j, -3 + j*3;
+   -1 - j, -1 - j*3, -3 - j, -3 - j*3]/3;
+  rms = sqrt(states.qam16(:)'*states.qam16(:)/16);% set average Es to 1
+  states.qam16 /= rms;
+  states.qam16 *= exp(-j*pi/4);                   % same rotation as QPSK constellation
+  states.Np = Np;                                 % number of modem frames per packet. In some modes we want
+                                                  % the total packet of data to span multiple modem frames, e.g. HF data
+                                                  % and/or when the FEC codeword is larger than the one
+                                                  % modem frame.  In other modes (e.g. 700D/2020) Np=1, ie the modem frame
+                                                  % is the same length as the packet/FEC codeword.
+  states.Nbitsperpacket = Np*states.Nbitsperframe;
+  states.Tpacket = Np*Ns*(Tcp+1/Rs);              % time for one packet in ms
+
+  states.Ntxtbits = Ntxtbits;                     % reserved bits/frame for auxiliary text information.  Uncoded/unprotected so may
+                                                  % be of limited use going forward, consider setting to 0
+  states.Nuwbits  = Nuwbits;
+
+  % some basic sanity checks
+  assert(floor(states.M) == states.M);
+
+  % UW symbol placement. 
+  % Note we need to fill each UW symbols with bits.  The LDPC decoder
+  % works on symbols so we can't break up any symbols into UW/FEC
+  % encoded bits.
+
+  states.uw_ind = states.uw_ind_sym = [];
+
+  % lets see if all UW syms will fit in frame
+  Nuwsyms = states.Nuwbits/bps;
+  Ndatasymsperframe = (Ns-1)*Nc;
+  states.spread_uw = 0;
+  if states.spread_uw
+    uw_step = 1.8*floor(states.Nbitsperpacket/states.Nuwbits);
+  else
+    uw_step = Nc+1;                                % default step for UW sym placement
+  end  
+  last_sym = floor(Nuwsyms*uw_step/bps+1);
+  if last_sym > states.Np*Ndatasymsperframe
+    uw_step = Nc-1;                                 % try a different step
+  end
+  last_sym = floor(Nuwsyms*uw_step/bps+1);
+  assert(last_sym <= states.Np*Ndatasymsperframe);  % we still can't fit them all
+  
+  % Place UW symbols in frame
+  for i=1:Nuwsyms
+    ind_sym = floor(i*uw_step/bps+1);
+    % printf("%d sym: %d\n",i, ind_sym);
+    states.uw_ind_sym = [states.uw_ind_sym ind_sym];   % symbol index
+    for b=bps-1:-1:0
+      states.uw_ind = [states.uw_ind bps*ind_sym-b];   % bit index
+    end
+  end
+
+  % how many of the first few frames have UW symbols in them
+  Nsymsperframe = states.Nbitsperframe/states.bps;
+  states.Nuwframes = ceil(states.uw_ind_sym(end)/Nsymsperframe);
+
+  states.tx_uw = tx_uw;
+  assert(length(states.tx_uw) == states.Nuwbits);
+  tx_uw_syms = [];
+  for b=1:bps:states.Nuwbits
+    if bps == 2 tx_uw_syms = [tx_uw_syms qpsk_mod(states.tx_uw(b:b+1))]; end
+    if bps == 4 tx_uw_syms = [tx_uw_syms qam16_mod(states.qam16, states.tx_uw(b:b+bps-1))]; end
+  end
+  states.tx_uw_syms = tx_uw_syms;
+  
+  % if the UW has this many errors it is "bad", the binomal cdf can be used to
+  % set this with the ofdm_determine_bad_uw_errors() function below
+  %
+  %   Nuw=12; plot(0:Nuw, binocdf(0:Nuw,Nuw,0.05)); hold on; plot(binocdf(0:Nuw,Nuw,0.5)); hold off;
+  states.bad_uw_errors = bad_uw_errors;
+
+  states.ofdm_peak = 16384;
+  % use this to scale tx output to 16 bit short to a peak value of 16384.  Adjusted by experiment
+  states.amp_scale = amp_scale;
+  % when using the clipping, this is the manual gain value.  Adjusted by experiment, trade off between
+  % increased average power and BER
+  states.clip_gain1 = clip_gain1;
+  states.clip_gain2 = clip_gain2;
+  states.txbpf_width_Hz = txbpf_width_Hz;
+
+  % this is used to scale inputs to LDPC decoder to make it amplitude indep
+  states.mean_amp = 0;
+
+  % use a fixed EsNo for LDPC decoder, this seems to work OK and avoid another estimator
+  states.EsNodB = EsNodB;
+
+  % generate same BPSK pilots each time
+  rand('seed',1);
+  states.pilots = 1 - 2*(rand(1,Nc+2) > 0.5);
+  %printf("number of pilots total: %d\n", length(states.pilots));
+
+  % If set, place pilots at carrier 1 and Nc+2 to support low bandwidth phase est over grid
+  % of 12 pilot_samples.  Used for 700D and 2020
+  states.edge_pilots = edge_pilots;
+  if states.edge_pilots == 0
+     states.pilots(1) = 0;
+     states.pilots(Nc+2) = 0;
+  end
+  
+  % carrier tables for up and down conversion
+  states.fcentre = fcentre = 1500;
+  alower = fcentre - Rs * (Nc/2);  % approx frequency of lowest carrier
+  Nlower = round(alower / Rs) - 1; % round this to nearest integer multiple from 0Hz to keep DFT happy
+  %printf("  fcentre: %f alower: %f alower/Rs: %f Nlower: %d\n", fcentre, alower, alower/Rs, Nlower);
+  w = (Nlower:Nlower+Nc+1)*2*pi/(states.Fs/Rs);
+  W = zeros(Nc+2,states.M);
+  for c=1:Nc+2
+    W(c,:) = exp(j*w(c)*(0:states.M-1));
+  end
+  states.w = w;
+  states.W = W;
+
+  % fine timing search +/- window_width/2 from current timing instant,
+  % set this to roughly twice the maximum delay spread
+  states.ftwindow_width = ftwindow_width;
+
+  % magic number we adjust by experiment (see ofdm_dev.m acquisition tests, blog post on 700D sync)
+  states.timing_mx_thresh = timing_mx_thresh;
+
+  % Receive buffer: rxbufst + D P DDD P DDD P DDD P D
+  %                                   ^
+  %                                   nominal start of current modem frame
+  
+  if length(data_mode)
+    Nrxbufhistory = (states.Np+2)*states.Nsamperframe;     % extra storage at start of rxbuf to allow us to step back in time 
+  else
+    Nrxbufhistory = 0;
+  end
+  states.rxbufst = Nrxbufhistory;                          % start of rxbuf window used for demod of current rx frame
+  states.Nrxbufhistory = Nrxbufhistory;
+  
+  %                       D                    P DDD P DDD P DDD             P                    D
+  states.Nrxbufmin = states.Nsampersymbol + 3*states.Nsamperframe + states.Nsampersymbol + states.Nsampersymbol;
+  states.Nrxbuf = Nrxbufhistory + states.Nrxbufmin;
+  states.rxbuf = zeros(1, states.Nrxbuf);
+
+  % default settings on a bunch of options and states
+
+  states.verbose = 0;
+  states.timing_en = 1;
+  states.foff_est_en = 1;
+  states.phase_est_en = 1;
+  states.phase_est_bandwidth = "high";
+  states.dpsk = 0;
+  states.amp_est_mode = amp_est_mode;
+
+  states.foff_est_gain = 0.1;
+  states.foff_limiter = foff_limiter;
+  states.foff_est_hz = 0;
+  states.sample_point = states.timing_est = 1;
+  states.nin = states.Nsamperframe;
+  states.timing_valid = 0;
+  states.timing_mx = 0;
+  states.coarse_foff_est_hz = 0;
+
+  states.foff_metric = 0;
+
+  % generate OFDM pilot symbol, used for timing and freq offset est
+
+  rate_fs_pilot_samples = states.pilots * W/states.M;
+
+  % During tuning it was found that not including the cyc prefix in
+  % rate_fs_pilot_samples produced better fest results
+
+  %states.rate_fs_pilot_samples = [rate_fs_pilot_samples(states.M-states.Ncp+1:states.M) rate_fs_pilot_samples];
+  states.rate_fs_pilot_samples = [zeros(1,states.Ncp) rate_fs_pilot_samples];
+
+  % pre-compute a constant used to detect valid modem frames
+
+  Npsam = length(states.rate_fs_pilot_samples);
+  states.timing_norm = Npsam*(states.rate_fs_pilot_samples * states.rate_fs_pilot_samples');
+  % printf("timing_norm: %f\n", states.timing_norm)
+
+  % sync state machine
+
+  states.sync_state = states.last_sync_state = 'search';
+  states.uw_errors = 0;
+  states.sync_counter = 0;
+  states.frame_count = 0;                                 % number of frames we have been in sync
+  states.sync_start = 0;
+  states.sync_end = 0;
+  states.modem_frame = 0;                                 % keep track of how many frames received in packet
+  states.state_machine = state_machine;                   % mode specific state machine
+  states.packetsperburst = 0;                             % for OFDM data modes, how many packets before we reset state machine
+  states.postambledetectoren = strcmp(data_mode,"burst");
+  states.npre = states.npost = 0;                         % counters for logging
+  
+  % LDPC code is optionally enabled
+
+  states.rate = 1.0;
+  states.ldpc_en = 0;
+
+  % init some output states for logging
+
+  states.rx_sym = zeros(1+Ns+1+1, Nc+2);
+
+  % Es/No (SNR) est states
+
+  states.EsNo_est_all_symbols = EsNo_est_all_symbols;
+  states.clock_offset_est = 0;
+
+  % pre-amble for data modes
+  states.data_mode = data_mode;
+  if length(states.data_mode)
+    states.tx_preamble = ofdm_generate_preamble(states, 2);
+    states.tx_postamble = ofdm_generate_preamble(states, 3);
+  end
+  
+  % automated tests
+  test_qam16_mod_demod(states.qam16);
+  test_assemble_disassemble(states);
+endfunction
+
+% Gray coded QPSK modulation function
+function symbol = qpsk_mod(two_bits)
+    two_bits_decimal = sum(two_bits .* [2 1]);
+    switch(two_bits_decimal)
+        case (0) symbol =  1;
+        case (1) symbol =  j;
+        case (2) symbol = -j;
+        case (3) symbol = -1;
+    endswitch
+endfunction
+
+% Gray coded QPSK demodulation function
+function two_bits = qpsk_demod(symbol)
+    bit0 = real(symbol*exp(j*pi/4)) < 0;
+    bit1 = imag(symbol*exp(j*pi/4)) < 0;
+    two_bits = [bit1 bit0];
+endfunction
+
+
+function out = freq_shift(in, foff, Fs)
+  foff_rect = exp(j*2*pi*foff/Fs);
+  foff_phase_rect = exp(j*0);
+
+  for r=1:length(in)
+    foff_phase_rect *= foff_rect;
+    out(r) = in(r)*foff_phase_rect;
+  end
+endfunction
+
+
+% -----------------------------------------------------------------
+% ofdm_mod - modulates a complete packet (one or more modem frames)
+% ----------------------------------------------------------------
+
+function tx = ofdm_mod(states, tx_bits)
+  ofdm_load_const;
+  assert(length(tx_bits) == Nbitsperpacket);
+
+  % map to symbols in linear array
+
+  if bps == 1
+    tx_sym_lin = 2*tx_bits - 1;
+  end
+  if bps == 2
+    for s=1:Nbitsperpacket/bps
+      tx_sym_lin(s) = qpsk_mod(tx_bits(2*(s-1)+1:2*s));
+    end
+  end
+  if bps == 4
+    for s=1:Nbitsperpacket/bps
+      tx_sym_lin(s) = qam16_mod(states.qam16,tx_bits(4*(s-1)+1:4*s));
+    end
+  end
+
+  tx = ofdm_txframe(states, tx_sym_lin);
+endfunction
+
+
+% ----------------------------------------------
+% ofdm_txframe - modulates one packet of symbols
+% ----------------------------------------------
+
+function tx = ofdm_txframe(states, tx_sym_lin)
+  ofdm_load_const;
+  assert(length(tx_sym_lin) == Nbitsperpacket/bps);
+
+  % place data symbols in multi-carrier frame with pilots and boundary carriers
+
+  s = 1; tx_frame = zeros(Np*Ns,Nc+2);
+  for r=1:Np*Ns
+    if mod(r-1,Ns) == 0
+      % row of pilots
+      tx_frame(r,:) = pilots;
+    else
+      % row of data symbols
+      arowofsymbols = tx_sym_lin(s:s+Nc-1);
+      tx_frame(r,2:Nc+1) = arowofsymbols;
+      s += Nc;
+      if states.dpsk
+        tx_frame(r,2:Nc+1) = tx_frame(r,2:Nc+1) .* tx_frame(r-1,2:Nc+1);
+      end
+    end
+  end
+  % make sure we use all the symbols
+  assert((s-1) == length(tx_sym_lin));
+
+  % OFDM upconvert symbol by symbol so we can add CP
+
+  tx = [];
+  for r=1:Ns*Np
+    asymbol = tx_frame(r,:) * W/M;
+    asymbol_cp = [asymbol(M-Ncp+1:M) asymbol];
+    tx = [tx asymbol_cp];
+  end
+endfunction
+
+
+% -----------------------------------------------------------
+% est_timing
+% -----------------------------------------------------------
+
+#{
+  Correlates known samples (for example pilots or a preamble) with a window of received
+  samples to determine the most likely timing offset.  Optionally combines
+  known samples from two frames (e.g. pilots at start of this and next frame)
+  so we need at least Nsamperframe+M+Ncp samples in rx.
+
+  Can be used for acquisition (coarse timing), and fine timing.  Tends
+  to break down when freq offset approaches +/- symbol rate (e.g +/-
+  25 Hz for 700D).
+#}
+
+function [t_est timing_valid timing_mx av_level] = est_timing(states, rx, known_samples, step, dual=1)
+    ofdm_load_const;
+    Npsam = length(known_samples);
+
+    Ncorr = length(rx) - (Nsamperframe+Npsam);
+    corr = zeros(1,Ncorr);
+    %printf("Npsam: %d M+Ncp: %d Ncorr: %d Nsamperframe: %d step: %d\n", Npsam,  M+Ncp, Ncorr, Nsamperframe, step);
+
+    % normalise correlation so we can compare to a threshold across varying input levels
+
+    av_level = 2*sqrt(states.timing_norm*(rx*rx')/length(rx)) + 1E-12;
+
+    % correlate with pilots at start and (optionally) end of frame to determine timing offset
+
+    for i=1:step:Ncorr
+      rx1 = rx(i:i+Npsam-1); 
+      corr_st = rx1 * known_samples'; 
+      corr_en = 0;
+      if dual
+        % for the streaming voice modes we also correlate with pilot samples at start of next frame 
+        rx2 = rx(i+Nsamperframe:i+Nsamperframe+Npsam-1);
+        corr_en = rx2 * known_samples';
+      end
+      corr(i) = (abs(corr_st) + abs(corr_en))/av_level;
+    end
+
+    [timing_mx t_est] = max(abs(corr));
+    % only declare timing valid if there are enough samples in rxbuf to demodulate a frame
+    timing_valid = (abs(rx(t_est)) > 0) && (timing_mx > timing_mx_thresh);
+    
+    if verbose > 1
+      printf("  av_level: %5.4f mx: %4.3f timing_est: %4d timing_valid: %d\n", av_level, timing_mx, t_est, timing_valid);
+    end
+    if verbose > 2
+      figure(10); clf;
+      subplot(211); plot(rx)
+      subplot(212); plot(corr)
+      figure(11); clf; plot(real(known_samples));
+    end
+
+endfunction
+
+
+% -----------------------------------------------------------
+% est_freq_offset_known_corr
+% -----------------------------------------------------------
+
+#{
+  Determines frequency offset at current timing estimate, used for
+  coarse freq offset estimation during streaming mode acquisition.
+#}
+
+function foff_est = est_freq_offset_known_corr(states, rx, known_samples, t_est, dual=1)
+    ofdm_load_const;
+    Npsam = length(known_samples);
+
+    % extract pilot samples from either end of frame
+    rx1  = rx(t_est:t_est+Npsam-1); rx2 = rx(t_est+Nsamperframe:t_est+Nsamperframe+Npsam-1);
+
+    % "mix" these down (correlate) with 0 Hz offset pilot samples
+    corr_st = rx1 .* conj(known_samples);
+    if dual 
+      corr_en = rx2 .* conj(known_samples);
+    end
+    
+    % sample sum of DFT magnitude of correlated signals at each freq offset and look for peak
+    st = -20; en = 20; foff_est = 0; Cabs_max = 0;
+
+    for f=st:en
+       w = 2*pi*f/Fs;
+       C_st = corr_st * exp(j*w*(0:Npsam-1))';
+       C_en = 0;
+       if dual
+          C_en = corr_en * exp(j*w*(0:Npsam-1))';
+       end
+       Cabs = abs(C_st) + abs(C_en);
+       %printf("f: %4.1f Cabs: %f Cmax: %f\n", f, Cabs, Cabs_max);
+       if Cabs > Cabs_max
+         Cabs_max = Cabs;
+         foff_est = f;
+       end
+    end
+
+    if states.verbose > 1
+      printf("  foff_est: %f\n", foff_est);
+    end
+
+endfunction
+
+
+% Joint estimation used for data mode burst acquistion
+
+function [t_est foff_est timing_mx] = est_timing_and_freq(states, rx, known_samples, tstep, fmin, fmax, fstep)
+    ofdm_load_const;
+    Npsam = length(known_samples);
+
+    Ncorr = length(rx) - Npsam + 1;
+    corr = zeros(1,Ncorr);
+    
+    % set up matrix of freq shifted known samples for correlation with received signal.  Each row
+    % is the known samples shifted by a different freq offset
+    
+    M = [];
+    for afcoarse=fmin:fstep:fmax
+       w = 2*pi*afcoarse/Fs;
+       wvec = exp(j*w*(0:Npsam-1));
+       M = [M; known_samples .* wvec];
+    end
+    
+    % At each timing position, correlate with known samples at all possible freq offsets.  Result
+    % is a column vector for each timing offset.  Each matrix cell is a freq,timing coordinate
+    
+    corr = [];
+    for t=1:tstep:Ncorr
+      rx1 = rx(t:t+Npsam-1); 
+      col = M * rx1';
+      corr = [corr, col];
+    end
+    
+    % best timing offset is the col with the global max of the corr matrix
+    max_col = max(abs(corr));
+    [mx mx_col] = max(max_col);
+    t_est = (mx_col-1)*tstep;
+    
+    % obtain normalised real number for timing mx
+    mag1 = known_samples*known_samples';
+    mag2 = rx(t_est+1:t_est+Npsam)*rx(t_est+1:t_est+Npsam)';
+    timing_mx = mx*mx'/(mag1*mag2+1E-12);
+    
+    % determine frequency offset for row where max is located
+    [tmp freq_row] = max(corr(:,mx_col));
+    foff_est = fmin + fstep*(freq_row-1);
+       
+    if verbose > 1
+      printf("  t_est: %d timing:mx: %f foff_est: %f\n", t_est, timing_mx, foff_est);
+    end
+    if verbose > 2
+      figure(10); clf;
+      subplot(211); plot(rx)
+      subplot(212); plot(corr)
+      figure(11); clf; plot(real(known_samples));
+    end
+
+endfunction
+
+
+% streaming mode acquistion, used mainly for voice modes
+
+function [timing_valid states] = ofdm_sync_search_stream(states)
+    ofdm_load_const;
+    
+    st = rxbufst + M+Ncp + Nsamperframe + 1; en = st + 2*Nsamperframe + M+Ncp - 1;
+  
+    % Attempt coarse timing estimate (i.e. detect start of frame) at a range of frequency offsets
+
+    timing_mx = 0; fcoarse = 0; timing_valid = 0; ct_est = 1;
+    for afcoarse=-40:40:40
+      % vector of local oscillator samples to shift input vector
+      % these could be computed on the fly to save memory, or pre-computed in flash at tables as they are static
+
+      if afcoarse != 0
+        w = 2*pi*afcoarse/Fs;
+        wvec = exp(-j*w*(0:2*Nsamperframe+M+Ncp-1));
+
+        % choose best timing offset metric at this freq offset
+        [act_est atiming_valid atiming_mx] = est_timing(states, wvec .* states.rxbuf(st:en), states.rate_fs_pilot_samples, 2);
+      else
+        % exp(-j*0) is just 1 when afcoarse is 0
+        [act_est atiming_valid atiming_mx] = est_timing(states, states.rxbuf(st:en), states.rate_fs_pilot_samples, 2);
+      end
+
+      %printf("afcoarse: %f atiming_mx: %f\n", afcoarse, atiming_mx);
+
+      if atiming_mx > timing_mx
+        ct_est = act_est;
+        timing_valid = atiming_valid;
+        timing_mx = atiming_mx;
+        fcoarse = afcoarse;
+      end
+    end
+
+    % refine freq est within -/+ 20 Hz window
+
+    if fcoarse != 0
+      w = 2*pi*fcoarse/Fs;
+      wvec = exp(-j*w*(0:2*Nsamperframe+M+Ncp-1));
+      foff_est = est_freq_offset_known_corr(states, wvec .* states.rxbuf(st:en), states.rate_fs_pilot_samples, ct_est);
+      foff_est += fcoarse;
+    else
+      % exp(-j*0) is just 1 when fcoarse is 0
+      foff_est = est_freq_offset_known_corr(states, states.rxbuf(st:en), states.rate_fs_pilot_samples, ct_est);
+    end
+
+    if verbose
+      printf(" ct_est: %4d mx: %3.2f coarse_foff: %5.1f timing_valid: %d", ct_est, timing_mx, foff_est, timing_valid);
+    end
+    
+  if timing_valid
+    states.nin = ct_est - 1;
+  else
+    states.nin = Nsamperframe;
+  end
+
+  states.timing_valid = timing_valid;
+  states.timing_mx = timing_mx;
+  states.coarse_foff_est_hz = foff_est;
+  states.sample_point = states.timing_est = 1;
+endfunction
+ 
+
+% two stage acquisition detector for burst mode
+
+function results = burst_acquisition_detector(states, rx, n, known_sequence)
+  ofdm_load_const;
+    
+  % initial search over coarse grid
+  tstep = 4; fstep = 5;
+  [ct_est foff_est timing_mx] = est_timing_and_freq(states, rx(n:n+2*Nsamperframe-1), known_sequence, 
+                                                    tstep, fmin = -50, fmax = 50, fstep);
+  % refine estimate over finer grid                             
+  fmin = foff_est - ceil(fstep/2); fmax = foff_est + ceil(fstep/2); 
+  fine_st = max(1, n + ct_est - tstep/2); fine_en = fine_st + Nsamperframe + tstep - 1;
+  [ct_est foff_est timing_mx] = est_timing_and_freq(states, rx(fine_st:fine_en), known_sequence, 1, fmin, fmax, 1);
+  % refer ct_est to nominal start of frame rx_buf(n)
+  ct_est += fine_st - n;
+  results.ct_est = ct_est; results.foff_est = foff_est; results.timing_mx = timing_mx;
+end
+
+
+% Burst mode acquisition ------------------------------------------
+
+function [timing_valid states] = ofdm_sync_search_burst(states)
+  ofdm_load_const;
+
+  pre_post = "";
+  st = rxbufst + M+Ncp + Nsamperframe + 1; en = st + 2*Nsamperframe - 1;
+  pre = burst_acquisition_detector(states, states.rxbuf, st, states.tx_preamble);
+  if states.postambledetectoren
+    post = burst_acquisition_detector(states, states.rxbuf, st, states.tx_postamble);
+  end
+  
+  if isfield(states,"postambletest") pre.timing_mx = 0; end % force ignore preamble to test postamble
+
+  if (states.postambledetectoren == 0) || (pre.timing_mx > post.timing_mx)
+    timing_mx = pre.timing_mx; ct_est = pre.ct_est; foff_est = pre.foff_est;
+    pre_post = "pre";
+  else
+    timing_mx = post.timing_mx; ct_est = post.ct_est; foff_est = post.foff_est;
+    pre_post = "post";
+  end
+  timing_valid = timing_mx > timing_mx_thresh;
+  
+  if timing_valid
+    % potential candidate found ....
+
+    % calculate number of samples we need on next buffer to get into sync
+    if strcmp(pre_post, "post")
+      states.nin = 0;
+      % printf("\n  rxbufst: %d ", states.rxbufst);
+      states.rxbufst -= states.Np*states.Nsamperframe; % backup to first modem frame in packet
+      states.rxbufst += ct_est - 1;
+      states.npost++;
+      % printf("%d\n", states.rxbufst);
+    else
+      % ct_est is start of preamble, so advance past that to start of first modem frame
+      states.nin = Nsamperframe + ct_est - 1;
+      states.npre++;
+    end
+  else
+    states.nin = Nsamperframe;
+  end
+
+  states.ct_est = ct_est;
+  states.timing_valid = timing_valid;
+  states.timing_mx = timing_mx;
+  states.sample_point = states.timing_est = 1;
+  states.foff_est_hz = foff_est;
+
+  if verbose
+    printf("  ct_est: %4d nin: %4d mx: %3.2f foff_est: %5.1f timing_valid: %d %4s", 
+           ct_est, states.nin, timing_mx, foff_est, timing_valid, pre_post);
+  end
+endfunction
+
+
+% ----------------------------------------------------------------------------------
+% ofdm_sync_search - attempts to find coarse sync parameters for modem initial sync
+% ----------------------------------------------------------------------------------
+
+function [timing_valid states] = ofdm_sync_search(states, rxbuf_in)
+  ofdm_load_const;
+
+  % update rxbuf so it is primed for when we have to call ofdm_demod()
+
+  states.rxbuf(1:Nrxbuf-states.nin) = states.rxbuf(states.nin+1:Nrxbuf);
+  states.rxbuf(Nrxbuf-states.nin+1:Nrxbuf) = rxbuf_in;
+  
+  if strcmp(states.data_mode, "burst")
+    [timing_valid states] = ofdm_sync_search_burst(states);
+  else
+    [timing_valid states] = ofdm_sync_search_stream(states);
+  end
+endfunction
+
+
+% ------------------------------------------
+% ofdm_demod - Demodulates one frame of bits
+% ------------------------------------------
+
+#{
+
+  For phase estimation we need to maintain buffer of 3 frames plus
+  one pilot, so we have 4 pilots total. '^' is the start of current
+  frame that we are demodulating.
+
+  P DDD P DDD P DDD P
+        ^
+
+  Then add one symbol either side to account for movement in
+  sampling instant due to sample clock differences:
+
+  D P DDD P DDD P DDD P D
+          ^
+
+  Returns:
+    rx_bits    - (hard decoded/raw/uncoded) demodulated data bits from packet
+    aphase_est - phase est for each data symbol
+    rx_np      - output data symbols after phase correction
+    rx_amp     - amplitude estimates for each symbol
+#}
+
+function [states rx_bits achannel_est_rect_log rx_np rx_amp] = ofdm_demod(states, rxbuf_in)
+  ofdm_load_const;
+
+  % insert latest input samples into rxbuf
+
+  rxbuf(1:Nrxbuf-states.nin) = rxbuf(states.nin+1:Nrxbuf);
+  rxbuf(Nrxbuf-states.nin+1:Nrxbuf) = rxbuf_in;
+
+  % get latest freq offset estimate
+
+  woff_est = 2*pi*foff_est_hz/Fs;
+
+  % update timing estimate --------------------------------------------------
+
+  delta_t = coarse_foff_est_hz = timing_valid = timing_mx = 0;
+  if timing_en
+    % update timing at start of every frame
+
+    % search for timing in a window centered on timing_est, the window will typically be around 2Ncp wide as we could
+    % get a shift of +Ncp or -Ncp if we swing from one delay extreme to another
+    st = rxbufst + M+Ncp + Nsamperframe + 1 - floor(ftwindow_width/2) + (timing_est-1);
+    en = st + Nsamperframe-1 + M+Ncp + ftwindow_width-1;
+
+    [ft_est timing_valid timing_mx] = est_timing(states, rxbuf(st:en) .* exp(-j*woff_est*(st:en)), rate_fs_pilot_samples, 1);
+    % printf("  timing_est: %d ft_est: %d timing_valid: %d timing_mx: %d\n", timing_est, ft_est, timing_valid, timing_mx);
+
+    % if we are in a deep fade timing_valid will not be asserted as ft_est will be garbage, so we don't
+    % adjust timing est, just freewheel for now
+    if timing_valid
+        
+      % adjust timing_est based on ft_est    
+      timing_est = timing_est + ft_est - ceil(ftwindow_width/2);
+
+      % Track the ideal sampling point, which is Ncp for a multipath signal whose delay varies between 0 and Ncp.  The
+      % timing est will be bouncing back and forth due to multipath so we may need to use the upper or lower limit of
+      % the timing est to track the ideal sample_point. A good way to explore this algorithm is to disable the feedback
+      % loop for nin adjustment below, and look at the plots from ofdm_rx with +ve and -ve sample clock offsets 
+      % (sox can be used to resample).  The "4" constants are small guard bands so we don't stumble outside of the CP 
+      % due to noise.
+      
+      delta_t = ft_est - ceil(ftwindow_width/2);           % just used for plotting
+      sample_point = max(timing_est+4, sample_point);      % we are at max timing est, so sample point just above
+      sample_point = min(timing_est+Ncp-4, sample_point);  % we are at min timing_est, so sample point Ncp above
+    end
+
+    if verbose > 1
+      printf("  ft_est: %2d mx: %3.2f coarse_foff: %4.1f foff: %4.1f\n", ft_est, timing_mx, coarse_foff_est_hz, foff_est_hz);
+    end
+
+  end
+
+  % down convert at current timing instant----------------------------------
+
+   rx_sym = zeros(1+Ns+1+1, Nc+2);
+
+  % previous pilot
+
+  st = rxbufst + M+Ncp + Nsamperframe + (-Ns)*(M+Ncp) + 1 + sample_point; en = st + M - 1;
+
+  for c=1:Nc+2
+    acarrier = rxbuf(st:en) .* exp(-j*woff_est*(st:en)) .* conj(W(c,:));
+    rx_sym(1,c) = sum(acarrier);
+  end
+
+  % pilot - this frame - pilot
+
+  for rr=1:Ns+1
+    st = rxbufst + M+Ncp + Nsamperframe + (rr-1)*(M+Ncp) + 1 + sample_point; en = st + M - 1;
+    for c=1:Nc+2
+      acarrier = rxbuf(st:en) .* exp(-j*woff_est*(st:en)) .* conj(W(c,:));
+      rx_sym(rr+1,c) = sum(acarrier);
+    end
+  end
+
+  % next pilot
+
+  st = rxbufst + M+Ncp + Nsamperframe + (2*Ns)*(M+Ncp) + 1 + sample_point; en = st + M - 1;
+  for c=1:Nc+2
+    acarrier = rxbuf(st:en) .* exp(-j*woff_est*(st:en)) .* conj(W(c,:));
+    rx_sym(Ns+3,c) = sum(acarrier);
+  end
+
+  % est freq err based on all carriers ------------------------------------
+
+  if foff_est_en
+    freq_err_rect = sum(rx_sym(2,:))' * sum(rx_sym(2+Ns,:));
+
+    % prevent instability in atan(im/re) when real part near 0
+
+    freq_err_rect += 1E-6;
+
+    %printf("freq_err_rect: %f %f angle: %f\n", real(freq_err_rect), imag(freq_err_rect), angle(freq_err_rect));
+    freq_err_hz = angle(freq_err_rect)*Rs/(2*pi*Ns);
+    if states.foff_limiter
+      freq_err_hz = max(freq_err_hz,-1);
+      freq_err_hz = min(freq_err_hz, 1);
+    end
+    foff_est_hz = foff_est_hz + foff_est_gain*freq_err_hz;
+  end
+
+  % OK - now channel for each carrier and correct phase  ----------------------------------
+
+  achannel_est_rect = zeros(1,Nc+2);
+  aamp_est_pilot = zeros(1,Nc+2);
+  for c=2:Nc+1
+
+    % estimate channel for this carrier using an average of 12 pilots
+    % in a rect 2D window centred on this carrier
+
+    % PPP  <-- frame-1
+    % ---
+    % PPP  <-- you are here
+    % DDD
+    % DDD
+    % PPP  <-- frame+1
+    % ---
+    % PPP  <-- frame+2
+
+    if isfield(states, "phase_est_bandwidth")
+      phase_est_bandwidth = states.phase_est_bandwidth;
+    else
+      phase_est_bandwidth = "low";
+    end
+
+    if strcmp(phase_est_bandwidth, "high")
+      % Only use pilots at start and end of this frame to track quickly changes in phase
+      % present.  Useful for initial sync where freq offset est may be a bit off, and
+      % for high Doppler channels.  As less pilots are averaged, low SNR performance
+      % will be poorer.
+      achannel_est_rect(c) =  rx_sym(2,c)*pilots(c)';        % frame
+      achannel_est_rect(c) += rx_sym(2+Ns,c)*pilots(c)';     % frame+1
+      aamp_est_pilot(c) = abs(rx_sym(2,c)) + abs(rx_sym(2+Ns,c));
+    elseif strcmp(phase_est_bandwidth, "low")
+      % Average over a bunch of pilots in adjacent carriers, and past and future frames, good
+      % low SNR performance, but will fall over with high Doppler or freq offset.
+      cr = c-1:c+1;
+      achannel_est_rect(c) =  rx_sym(2,cr)*pilots(cr)';      % frame
+      achannel_est_rect(c) += rx_sym(2+Ns,cr)*pilots(cr)';   % frame+1
+      aamp_est_pilot(c)  = sum(abs(rx_sym(2,cr)));
+      aamp_est_pilot(c) += sum(abs(rx_sym(2+Ns,cr)));
+
+      % use next step of pilots in past and future
+
+      achannel_est_rect(c) += rx_sym(1,cr)*pilots(cr)';      % frame-1
+      achannel_est_rect(c) += rx_sym(2+Ns+1,cr)*pilots(cr)'; % frame+2
+      aamp_est_pilot(c) += sum(abs(rx_sym(1,cr)));
+      aamp_est_pilot(c) += sum(abs(rx_sym(2+Ns+1,cr)));
+    end
+  end
+
+  % pilots are estimated over 12 pilot symbols, so find average
+
+  if strcmp(phase_est_bandwidth, "high")
+    achannel_est_rect /= 2;
+    aamp_est_pilot /= 2;
+  elseif strcmp(phase_est_bandwidth, "low")
+    achannel_est_rect /= 12;
+    aamp_est_pilot /= 12;
+  end
+
+  aphase_est_pilot = angle(achannel_est_rect);
+  if states.amp_est_mode == 0
+    % legacy 700D/2020 ampl estimator for compatibility with current C code
+    aamp_est_pilot = abs(achannel_est_rect);
+  end
+  achannel_est_rect = aamp_est_pilot.*exp(j*aphase_est_pilot);
+
+  % correct phase offset using phase estimate, and demodulate
+  % bits, separate loop as it runs across cols (carriers) to get
+  % frame bit ordering correct
+
+  rx_bits = []; rx_np = []; rx_amp = []; achannel_est_rect_log = [];
+  for rr=1:Ns-1
+    for c=2:Nc+1
+      if phase_est_en
+        if states.dpsk
+          rx_corr = rx_sym(rr+2,c) *  rx_sym(rr+1,c)';
+        else
+          rx_corr = rx_sym(rr+2,c) * exp(-j*aphase_est_pilot(c));
+        end
+      else
+        rx_corr = rx_sym(rr+2,c);
+      end
+
+      rx_np = [rx_np rx_corr];
+      rx_amp = [rx_amp aamp_est_pilot(c)];
+
+      % hard decision demod
+      if bps == 1 abit = real(rx_corr) > 0; end
+      if bps == 2 abit = qpsk_demod(rx_corr); end
+      if bps == 4 abit = qam16_demod(states.qam16, rx_corr, max(1E-12,aamp_est_pilot(c))); end
+      rx_bits = [rx_bits abit];
+    end % c=2:Nc+1
+    achannel_est_rect_log = [achannel_est_rect_log; achannel_est_rect(2:Nc+1)];
+  end
+
+  % Adjust nin to take care of sample clock offset.  When debugong or exploring how timing loop works
+  % it's a good idea to comment out this code to "open the loop".
+
+  nin = Nsamperframe;
+  if timing_en && timing_valid
+    states.clock_offset_est = 0.9*states.clock_offset_est + 0.1*abs(states.timing_est - timing_est)/Nsamperframe;
+    thresh = (M+Ncp)/8;
+    tshift = (M+Ncp)/4;
+    if timing_est > thresh
+      nin = Nsamperframe+tshift;
+      timing_est -= tshift;
+      sample_point -= tshift;
+    end
+    if timing_est < -thresh
+      nin = Nsamperframe-tshift;
+      timing_est += tshift;
+      sample_point += tshift;
+    end
+  end
+
+  % use internal rxbuf samples if they are available
+  rxbufst_next = rxbufst + nin;
+  %printf("\nrxbufst: %d rxbufst_next: %d nin: %d Nrxbufmin: %d rqd: %d Nrxbuf: %d\n", 
+  %     rxbufst, rxbufst_next, nin, Nrxbufmin, rxbufst_next + Nrxbufmin, Nrxbuf);
+  if rxbufst_next + Nrxbufmin <= Nrxbuf
+     % printf("Can maybe use rxbufst!\n");
+     rxbufst = rxbufst_next;
+     nin = 0;
+  end
+      
+  % maintain mean amp estimate for LDPC decoder
+  states.mean_amp = 0.9*states.mean_amp + 0.1*mean(rx_amp);
+
+  states.rx_sym = rx_sym;
+  states.rxbuf = rxbuf;
+  states.nin = nin;
+  states.rxbufst = rxbufst;
+  states.timing_valid = timing_valid;
+  states.timing_mx = timing_mx;
+  states.timing_est = timing_est;
+  states.sample_point = sample_point;
+  states.delta_t = delta_t;
+  states.foff_est_hz = foff_est_hz;
+  states.coarse_foff_est_hz = coarse_foff_est_hz; % just used for tofdm
+endfunction
+
+
+function SNR3kdB = snr_from_esno(states, EsNodB)
+    ofdm_load_const;
+
+    % We integrate over M samples to get the received symbols.  Additional signal power
+    % is used for the cyclic prefix samples.
+    cyclic_power = 10*log10((Ncp+M)/M);
+    % Es is the energy for each symbol.  To get signal power lets
+    % multiply by symbols/second, and calculate noise power in 3000 Hz.
+    SNR3kdB = EsNodB + 10*log10(Nc*Rs/3000) + cyclic_power;
+endfunction
+
+% ----------------------------------------------------------------------------------
+% assemble_modem_packet - assemble modem packet from UW, payload, and txt bits
+% ----------------------------------------------------------------------------------
+
+function modem_frame = assemble_modem_packet(states, payload_bits, txt_bits)
+  ofdm_load_const;
+
+  # Due to the operation of the FEC encoder or interleaver, Tx data
+  # usually comes in "packet size" chunks, so assembly operates on an
+  # entire packet (multiple modem frames if Np>1)
+
+  p = 1; u = 1;
+  modem_frame = zeros(1,Nbitsperpacket);
+
+  for b=1:Nbitsperpacket-Ntxtbits;
+    if (u <= Nuwbits) && (b == uw_ind(u))
+      modem_frame(b) = tx_uw(u++);
+    else
+      modem_frame(b) = payload_bits(p++);
+    end
+  end
+  t = 1;
+  for b=Nbitsperpacket-Ntxtbits+1:Nbitsperpacket
+    modem_frame(b) = txt_bits(t++);
+  end
+  assert(u == (Nuwbits+1));
+  assert(p = (length(payload_bits)+1));
+endfunction
+
+
+% ----------------------------------------------------------------------------------
+% assemble_modem_packet_symbols - assemble modem packet from UW, payload, and txt bits
+% ----------------------------------------------------------------------------------
+
+function modem_frame = assemble_modem_packet_symbols(states, payload_syms, txt_syms)
+  ofdm_load_const;
+
+  Nsymsperpacket = Nbitsperpacket/bps;
+  Nuwsyms = Nuwbits/bps;
+  Ntxtsyms = Ntxtbits/bps;
+  modem_frame = zeros(1,Nsymsperpacket);
+  p = 1; u = 1;
+
+  for s=1:Nsymsperpacket-Ntxtsyms;
+    if (u <= Nuwsyms) && (s == uw_ind_sym(u))
+      modem_frame(s) = states.tx_uw_syms(u++);
+    else
+      modem_frame(s) = payload_syms(p++);
+    end
+  end
+  t = 1;
+  for s=Nsymsperpacket-Ntxtsyms+1:Nsymsperpacket
+    modem_frame(s) = txt_syms(t++);
+  end
+  assert(u == (Nuwsyms+1));
+  assert(p = (length(payload_syms)+1));
+endfunction
+
+
+% ------------------------------------------------------------------------------------------------
+% extract_uw - extract just the UW from the first few frames of a packet, to check UW
+%              during acquisition
+% -------------------------------------------------------------------------------------------------
+
+function rx_uw = extract_uw(states, rx_syms, rx_amps)
+  ofdm_load_const;
+
+  Nsymsperframe = Nbitsperframe/bps;
+  assert(length(rx_syms) == Nuwframes*Nsymsperframe);
+  Nuwsyms = Nuwbits/bps;
+  rx_uw_syms = zeros(1,Nuwsyms);
+  rx_uw_amps = zeros(1,Nuwsyms);
+  u = 1;
+
+  for s=1:Nuwframes*Nsymsperframe
+    if (u <= Nuwsyms) && (s == uw_ind_sym(u))
+      rx_uw_syms(u) = rx_syms(s);
+      rx_uw_amps(u) = rx_amps(s);
+      u++;
+    end
+  end
+  assert(u == (Nuwsyms+1));
+
+  % now demodulate UW bits
+  rx_uw = zeros(1,Nuwbits);
+
+  for s=1:Nuwsyms
+    if bps == 2
+      rx_uw(bps*(s-1)+1:bps*s) = qpsk_demod(rx_uw_syms(s));
+    elseif bps == 4
+      rx_uw(bps*(s-1)+1:bps*s) = qam16_demod(states.qam16,rx_uw_syms(s), max(1E-12,rx_amps(s)));
+    end
+  end
+endfunction
+
+
+% ------------------------------------------------------------------------------------------------
+% disassemble_modem_packet - extract UW, txt bits, and payload symbols from a packet of symbols
+% -------------------------------------------------------------------------------------------------
+
+function [rx_uw payload_syms payload_amps txt_bits] = disassemble_modem_packet(states, modem_frame_syms, modem_frame_amps)
+  ofdm_load_const;
+
+  Nsymsperpacket = Nbitsperpacket/bps;
+  Nuwsyms = Nuwbits/bps;
+  Ntxtsyms = Ntxtbits/bps;
+  payload_syms = zeros(1,Nsymsperpacket-Nuwsyms-Ntxtsyms);
+  payload_amps = zeros(1,Nsymsperpacket-Nuwsyms-Ntxtsyms);
+  rx_uw_syms = zeros(1,Nuwsyms);
+  rx_uw_amps = zeros(1,Nuwsyms);
+  txt_syms = zeros(1,Ntxtsyms);
+  p = 1; u = 1;
+
+  for s=1:Nsymsperpacket-Ntxtsyms;
+    if (u <= Nuwsyms) && (s == uw_ind_sym(u))
+      rx_uw_syms(u) = modem_frame_syms(s);
+      rx_uw_amps(u) = modem_frame_amps(s);
+      u++;
+    else
+      payload_syms(p) = modem_frame_syms(s);
+      payload_amps(p++) = modem_frame_amps(s);
+    end
+  end
+  t = 1;
+  for s=Nsymsperpacket-Ntxtsyms+1:Nsymsperpacket
+    txt_syms(t++) = modem_frame_syms(s);
+  end
+  assert(u == (Nuwsyms+1));
+  assert(p = (Nsymsperpacket+1));
+
+  % now demodulate UW and txt bits
+
+  rx_uw = zeros(1,Nuwbits);
+  txt_bits = zeros(1,Ntxtbits);
+
+  for s=1:Nuwsyms
+    if bps == 2
+      rx_uw(bps*(s-1)+1:bps*s) = qpsk_demod(rx_uw_syms(s));
+    elseif bps == 4
+      rx_uw(bps*(s-1)+1:bps*s) = qam16_demod(states.qam16,rx_uw_syms(s),rx_uw_amps(s));
+    end
+  end
+  for s=1:Ntxtsyms
+    txt_bits(2*s-1:2*s) = qpsk_demod(txt_syms(s));
+  end
+
+endfunction
+
+
+%-----------------------------------------------------------------------
+% ofdm_rand - a psuedo-random number generator that we can implement
+%             in C with identical results to Octave.  Returns an unsigned
+%             int between 0 and 32767
+%-----------------------------------------------------------------------
+
+function r = ofdm_rand(n, seed=1)
+  r = zeros(1,n);
+  for i=1:n
+    seed = mod(1103515245 * seed + 12345, 32768);
+    r(i) = seed;
+  end
+endfunction
+
+
+% build a single modem frame preamble vector for reliable single frame acquisition
+% on data modes
+function tx_preamble = ofdm_generate_preamble(states, seed=2)
+  tmp_states = states;
+  % tweak local copy of states so we can generate a 1 modem-frame packet
+  tmp_states.Np = 1; tmp_states.Nbitsperpacket = tmp_states.Nbitsperframe;
+  preamble_bits = ofdm_rand(tmp_states.Nbitsperframe, seed) > 16384;
+  tx_preamble = ofdm_mod(tmp_states, preamble_bits);
+endfunction
+
+
+% ------------------------------------------------------------------------------
+% Handle FEC encoding/decoding
+% ------------------------------------------------------------------------------
+
+function [frame_bits bits_per_frame] = fec_encode(states, code_param, mode, payload_bits)
+  ofdm_load_const;
+  if code_param.data_bits_per_frame != code_param.ldpc_data_bits_per_frame
+    % optionally lower the code rate by "one stuffing" - setting Nunused data bits to 1
+    Nunused = code_param.ldpc_data_bits_per_frame - code_param.data_bits_per_frame;
+    frame_bits = LdpcEncode([payload_bits ones(1,Nunused)], code_param.H_rows, code_param.P_matrix);
+    % remove unused data bits from codeword, as they are known to the receiver and don't need to be transmitted
+    frame_bits = [ frame_bits(1:code_param.data_bits_per_frame) frame_bits(code_param.ldpc_data_bits_per_frame+1:end) ];
+  else
+    frame_bits = LdpcEncode(payload_bits, code_param.H_rows, code_param.P_matrix);
+  end
+  bits_per_frame = length(frame_bits);
+
+endfunction
+
+function [rx_bits paritychecks] = fec_decode(states, code_param, ...
+                                             payload_syms_de, payload_amps_de, ...
+                                             mean_amp, EsNo)
+  ofdm_load_const;
+  % note ldpc_dec() handles optional lower code rate zero-stuffing
+  [rx_codeword paritychecks] = ldpc_dec(code_param, mx_iter=100, demod=0, dec=0, ...
+                                        payload_syms_de/mean_amp, EsNo, 
+                                        payload_amps_de/mean_amp);
+  rx_bits = rx_codeword(1:code_param.data_bits_per_frame);
+endfunction
+
+
+function [tx nclipped] = ofdm_clip(states, tx, threshold_level, plot_en=0)
+  ofdm_load_const;
+  tx_ = tx;
+  ind = find(abs(tx) > threshold_level);
+  nclipped = length(ind);
+  tx(ind) = threshold_level*exp(j*angle(tx(ind)));
+  if plot_en
+    figure(2); clf; plot(abs(tx_(1:5*M))); hold on; plot(abs(tx(1:5*M))); hold off;
+  endif
+end
+
+% two stage Hilbert clipper to improve PAPR 
+function tx = ofdm_hilbert_clipper(states, tx, tx_clip_en)
+  tx *= states.amp_scale;
+  
+  % optional compressor to improve PAPR
+
+  nclipped = 0;
+  if tx_clip_en
+    if states.verbose
+      printf("%f %f\n", states.clip_gain1, states.clip_gain2);
+    end
+    [tx nclipped] = ofdm_clip(states, tx*states.clip_gain1, states.ofdm_peak);
+    
+    cutoff_norm = states.txbpf_width_Hz/states.Fs;
+    w_centre = mean(states.w); centre_norm = w_centre/(2*pi);
+    tx = ofdm_complex_bandpass_filter(cutoff_norm, centre_norm,100,tx);
+     
+    % filter messes up peak levels use this to get us back to approx 16384
+    tx *= states.clip_gain2;
+  end
+
+  % Hilbert Clipper 2 - remove any really low probability outliers after clipping/filtering
+  % even on vanilla Tx
+  [tx tmp] = ofdm_clip(states, tx, states.ofdm_peak);
+
+  % note this is PAPR of complex signal, PAPR of real signal will be 3dB-ish larger
+  peak = max(abs(tx)); RMS = sqrt(mean(abs(tx).^2));
+  cpapr = 10*log10((peak.^2)/(RMS.^2));
+
+  if states.verbose
+    printf("Peak: %4.2f RMS: %5.2f CPAPR: %4.2f clipped: %5.2f%%\n",
+           peak, RMS, cpapr, nclipped*100/length(tx));
+  end
+endfunction
+
+
+% Complex bandpass filter built from low pass prototype as per src/filter.c, 
+% cutoff_freq and center_freq are normalised such that cutoff_freq = 0.5 is Fs/2
+function out = ofdm_complex_bandpass_filter(cutoff_freq,center_freq,n_coeffs,in)
+  lowpass_coeff = fir1(n_coeffs-1, cutoff_freq);
+  k = (0:n_coeffs-1);
+  bandpass_coeff = lowpass_coeff .* exp(j*2*pi*center_freq*k);
+  out = filter(bandpass_coeff,1,in);
+endfunction
+
+
+% Complex bandpass filter for Rx - just used on the very low SNR modes to help 
+% with acquisition
+function [rx delay_samples] = ofdm_rx_filter(states, mode, rx)
+  delay_samples = 0;
+  if strcmp(mode,"datac4") || strcmp(mode,"datac13")
+    w_centre = mean(states.w); centre_norm = w_centre/(2*pi);
+    n_coeffs = 100;
+    cutoff_Hz = 400; cutoff_norm = cutoff_Hz/states.Fs;
+    rx = ofdm_complex_bandpass_filter(cutoff_norm,centre_norm,n_coeffs,rx);
+    delay_samples = n_coeffs/2;
+  end
+endfunction
+
+
+% returns an unpacked CRC16 (array of 16 bits) calculated from an array of unpacked bits 
+function unpacked_crc16 = crc16_unpacked(unpacked_bits)
+  % pack into bytes
+  mod(length(unpacked_bits),8);
+  assert(mod(length(unpacked_bits),8) == 0);
+  nbytes = length(unpacked_bits)/8;
+  mask = 2 .^ (7:-1:0);
+  for i=1:nbytes
+    st = (i-1)*8 + 1; en = st+7;
+    bytes(i) = sum(mask .* unpacked_bits(st:en));
+  end
+  crc16_hex = crc16(bytes);
+  crc16_dec = [hex2dec(crc16_hex(1:2)) hex2dec(crc16_hex(3:4)) ];
+  unpacked_crc16 = [];
+  for b=1:length(crc16_dec)
+    unpacked_crc16 = [unpacked_crc16 bitand(crc16_dec(b), mask) > 0];
+  end
+endfunction
diff --git a/octave/ofdm_load_const.m b/octave/ofdm_load_const.m
new file mode 100644
index 0000000..95c1c4d
--- /dev/null
+++ b/octave/ofdm_load_const.m
@@ -0,0 +1,57 @@
+% make like C #define for ofdm modem
+
+Fs = states.Fs;
+bps = states.bps;
+Rs = states.Rs;
+Tcp = states.Tcp;
+Ns = states.Ns;
+Np = states.Np;
+Nc = states.Nc;
+M = states.M;
+Ncp = states.Ncp;
+bps = states.bps;
+Nbitsperframe = states.Nbitsperframe;
+Nbitsperpacket = states.Nbitsperpacket;
+Nsampersymbol = states.Nsampersymbol;
+Nsamperframe = states.Nsamperframe;
+timing_mx_thresh = states.timing_mx_thresh;
+Nuwbits = states.Nuwbits;
+Ntxtbits = states.Ntxtbits;
+tx_uw =  states.tx_uw;
+uw_ind = states.uw_ind;
+uw_ind_sym = states.uw_ind_sym;
+Nuwframes=states.Nuwframes;
+
+W = states.W;
+w = states.w;
+
+timing_est = states.timing_est;
+sample_point = states.sample_point;
+ftwindow_width = states.ftwindow_width;
+
+Nrxbuf = states.Nrxbuf;
+rxbuf = states.rxbuf;
+rxbufst = states.rxbufst;
+Nrxbufmin = states.Nrxbufmin;
+
+pilots = states.pilots;
+rate_fs_pilot_samples = states.rate_fs_pilot_samples;
+
+foff_est_gain = states.foff_est_gain;
+foff_est_hz = states.foff_est_hz;
+
+timing_en = states.timing_en;
+foff_est_en = states.foff_est_en;
+phase_est_en = states.phase_est_en;
+
+rate = states.rate;
+ldpc_en = states.ldpc_en;
+if ldpc_en
+  code_param = states.code_param;
+  max_iterations = states.ldpc_max_iterations;
+  demod_type = states.ldpc_demod_type;
+  decoder_type = states.ldpc_decoder_type;
+end
+
+verbose = states.verbose;
+ofdm_peak = states.ofdm_peak;
diff --git a/octave/ofdm_mode.m b/octave/ofdm_mode.m
new file mode 100644
index 0000000..074fd84
--- /dev/null
+++ b/octave/ofdm_mode.m
@@ -0,0 +1,249 @@
+% ofdm_mode.m
+%
+% Library of functions to help setting up OFDM modes
+
+%------------------------------------------------------------------------------
+% ofdm_init_mode - Helper function to set up modems for various FreeDV modes,
+%                  and parse mode string.
+%------------------------------------------------------------------------------
+
+1;
+
+function config = ofdm_init_mode(mode="700D")
+  % defaults for 700D
+  
+  Tcp = 0.002; 
+  Ns = 8;
+  Ts = 0.018; 
+  Nc = 17;
+  config.bps = 2; 
+  config.Np = 1;
+  config.Ntxtbits = 4;
+  config.Nuwbits = 5*config.bps;
+  config.ftwindow_width = 32;
+  config.timing_mx_thresh  = 0.35;
+  config.bad_uw_errors = 3;
+  config.amp_scale = 245E3;
+  config.amp_est_mode = 0;
+  config.EsNo_est_all_symbols = 1;
+  config.EsNodB = 3;
+  config.state_machine = "voice1";
+  config.edge_pilots = 1;
+  config.clip_gain1 = 2.5;
+  config.clip_gain2 = 0.8;
+  config.foff_limiter = 0;
+  config.txbpf_width_Hz = 2000;
+  config.data_mode = "";
+
+  if strcmp(mode,"700D") ||  strcmp(mode,"700d")
+    % defaults above
+  elseif strcmp(mode,"700E") ||  strcmp(mode,"700e")
+    Ts = 0.014; Tcp=0.006; Nc = 21; Ns=4;
+    config.edge_pilots = 0; config.state_machine = "voice2";
+    config.Nuwbits = 12; config.bad_uw_errors = 3; config.Ntxtbits = 2;
+    config.amp_est_mode = 1; config.ftwindow_width = 80;
+    config.amp_scale = 155E3; config.clip_gain1 = 3; config.clip_gain2 = 0.8;
+    config.foff_limiter = 1;
+  elseif strcmp(mode,"2020")
+    Ts = 0.0205; Nc = 31;
+    config.amp_scale = 167E3; config.clip_gain1 = 2.5; config.clip_gain2 = 0.8;
+  elseif strcmp(mode,"2020B")
+    Ts = 0.014; Tcp = 0.004; Nc = 29; Ns=5;
+    config.Ntxtbits = 4; config.Nuwbits = 8*2; config.bad_uw_errors = 5;
+    config.amp_scale = 130E3; config.clip_gain1 = 2.5; config.clip_gain2 = 0.8;
+    config.edge_pilots = 0; config.state_machine = "voice2";
+    config.foff_limiter = 1; config.ftwindow_width = 64;
+    config.txbpf_width_Hz = 2200;
+  elseif strcmp(mode,"qam16c1")
+    Ns=5; config.Np=5; Tcp = 0.004; Ts = 0.016; Nc = 33; config.data_mode = "streaming";
+    config.bps=4; config.Ntxtbits = 0; config.Nuwbits = 15*4; config.bad_uw_errors = 5;
+    config.state_machine = "data";
+    config.ftwindow_width = 32; config.amp_scale = 132E3;
+    config.EsNo_est_all_symbols = 0; config.amp_est_mode = 1; config.EsNodB = 10;
+  elseif strcmp(mode,"qam16c2")
+    Ns=5; config.Np=31; Tcp = 0.004; Ts = 0.016; Nc = 33; config.data_mode = "streaming";
+    config.bps=4; config.Ntxtbits = 0; config.Nuwbits = 42*4; config.bad_uw_errors = 15;
+    config.ftwindow_width = 80; config.amp_scale = 135E3; config.state_machine = "data";
+    config.EsNo_est_all_symbols = 0; config.amp_est_mode = 1; config.EsNodB = 10;
+    config.tx_uw = zeros(1,config.Nuwbits = 42*4);
+    config.tx_uw(1:24) = [1 1 0 0  1 0 1 0  1 1 1 1  0 0 0 0  1 1 1 1  0 0 0 0];
+    config.tx_uw(end-24+1:end) = [1 1 0 0  1 0 1 0  1 1 1 1  0 0 0 0  1 1 1 1  0 0 0 0];
+  elseif strcmp(mode,"datac0")
+    Ns=5; config.Np=4; Tcp = 0.006; Ts = 0.016; Nc = 9; config.data_mode = "streaming";
+    config.Ntxtbits = 0; config.Nuwbits = 32; config.bad_uw_errors = 9;
+    config.state_machine = "data";
+    config.ftwindow_width = 80; config.amp_est_mode = 1; config.EsNodB = 3;
+    config.edge_pilots = 0; config.timing_mx_thresh = 0.08;
+    config.tx_uw = zeros(1,config.Nuwbits);
+    config.tx_uw(1:16) = [1 1 0 0  1 0 1 0  1 1 1 1  0 0 0 0];
+    config.amp_scale = 300E3; config.clip_gain1 = 2.2; config.clip_gain2 = 0.85;
+  elseif strcmp(mode,"datac5")
+    Ns=5; config.Np=58; Tcp = 0.004; Ts = 0.016; Nc = 35; config.data_mode = "streaming";
+    config.Ntxtbits = 0; config.Nuwbits = 40; config.bad_uw_errors = 14;
+    config.state_machine = "data";
+    config.ftwindow_width = 80; config.amp_est_mode = 1; config.EsNodB = 3;
+    config.amp_scale = 145E3; config.clip_gain1 = 2.7; config.clip_gain2 = 0.8;
+    config.edge_pilots = 0; config.timing_mx_thresh = 0.10;
+    config.tx_uw = zeros(1,config.Nuwbits);
+    config.tx_uw(1:16) = [1 1 0 0  1 0 1 0  1 1 1 1  0 0 0 0];
+  elseif strcmp(mode,"datac1")
+    Ns=5; config.Np=38; Tcp = 0.006; Ts = 0.016; Nc = 27; config.data_mode = "streaming";
+    config.Ntxtbits = 0; config.Nuwbits = 16; config.bad_uw_errors = 6;
+    config.state_machine = "data";
+    config.ftwindow_width = 80; config.amp_est_mode = 1; config.EsNodB = 3;
+    % clipper/compression adjustment:
+    % 1. With clipper off increase amp_scale until peak just hit 16384
+    % 2. With clipper on increase clip_gain1 until about 30% clipped
+    % 3. BPF will drop level beneath 16384, adjust clip_gain2 to just hit 16384 peak again
+    % 4. Clipped/unclipped operating point for same PER should be about 1dB apart
+    config.amp_scale = 145E3; config.clip_gain1 = 2.7; config.clip_gain2 = 0.8;
+    config.edge_pilots = 0; config.timing_mx_thresh = 0.10;
+    config.tx_uw = [1 1 0 0  1 0 1 0  1 1 1 1  0 0 0 0];
+  elseif strcmp(mode,"datac3")
+    Ns=5; config.Np=29; Tcp = 0.006; Ts = 0.016; Nc = 9; config.data_mode = "streaming";
+    config.edge_pilots = 0;
+    config.Ntxtbits = 0; config.Nuwbits = 40; config.bad_uw_errors = 10;
+    config.ftwindow_width = 80; config.timing_mx_thresh = 0.10;
+    config.tx_uw = zeros(1,config.Nuwbits);
+    config.tx_uw(1:24) = [1 1 0 0  1 0 1 0  1 1 1 1  0 0 0 0  1 1 1 1  0 0 0 0];
+    config.tx_uw(end-24+1:end) = [1 1 0 0  1 0 1 0  1 1 1 1  0 0 0 0  1 1 1 1  0 0 0 0];
+    config.amp_est_mode = 1; config.EsNodB = 3;
+    config.state_machine = "data"; 
+    config.amp_scale = 300E3; config.clip_gain1 = 2.2; config.clip_gain2 = 0.8;
+  elseif strcmp(mode,"datac4")
+    Ns=5; config.Np=47; Tcp = 0.006; Ts = 0.016; Nc = 4; config.data_mode = "streaming";
+    config.edge_pilots = 0;
+    config.Ntxtbits = 0; config.Nuwbits = 32; config.bad_uw_errors = 12;
+    config.ftwindow_width = 80; config.timing_mx_thresh = 0.5;
+    config.tx_uw = zeros(1,config.Nuwbits);
+    config.tx_uw(1:24) = [1 1 0 0  1 0 1 0  1 1 1 1  0 0 0 0  1 1 1 1  0 0 0 0];
+    config.tx_uw(end-24+1:end) = [1 1 0 0  1 0 1 0  1 1 1 1  0 0 0 0  1 1 1 1  0 0 0 0];
+    config.amp_est_mode = 1; config.EsNodB = 3;
+    config.state_machine = "data";
+    config.amp_scale = 2*300E3; config.clip_gain1 = 1.2; config.clip_gain2 = 1.0;
+    config.txbpf_width_Hz = 400;
+ elseif strcmp(mode,"datac13")
+    Ns=5; config.Np=18; Tcp = 0.006; Ts = 0.016; Nc = 3; config.data_mode = "streaming";
+    config.edge_pilots = 0;
+    config.Ntxtbits = 0; config.Nuwbits = 48; config.bad_uw_errors = 18;
+    config.ftwindow_width = 80; config.timing_mx_thresh = 0.45;
+    config.tx_uw = zeros(1,config.Nuwbits);
+    config.tx_uw(1:24) = [1 1 0 0  1 0 1 0  1 1 1 1  0 0 0 0  1 1 1 1  0 0 0 0];
+    config.tx_uw(end-24+1:end) = [1 1 0 0  1 0 1 0  1 1 1 1  0 0 0 0  1 1 1 1  0 0 0 0];
+    config.amp_est_mode = 1; config.EsNodB = 3;
+    config.state_machine = "data"; 
+    config.amp_scale = 2.5*300E3; config.clip_gain1 = 1.2; config.clip_gain2 = 1.0;
+    config.txbpf_width_Hz = 400;
+  elseif strcmp(mode,"1")
+    Ns=5; config.Np=10; Tcp=0; Tframe = 0.1; Ts = Tframe/Ns; Nc = 1;
+  else
+    % try to parse mode string for user defined mode
+    vec = sscanf(mode, "Ts=%f Nc=%d Ncp=%f");
+    Ts=vec(1); Nc=vec(2); Ncp=vec(3);
+  end
+  Rs=1/Ts;
+  config.Rs = Rs; config.Tcp = Tcp; config.Ns = Ns; config.Nc = Nc;
+  if !isfield(config,"tx_uw") 
+    config.tx_uw = zeros(1,config.Nuwbits); 
+  end  
+end
+
+% ------------------------------------------------------------------------------
+% codec_to_frame_packing - Set up a bunch of constants to support modem frame
+%                          construction from LDPC codewords and codec source bits
+% ------------------------------------------------------------------------------
+
+function [code_param Nbitspercodecframe Ncodecframespermodemframe] = codec_to_frame_packing(states, mode)
+  ofdm_load_const;
+  mod_order = 4; bps = 2; modulation = 'QPSK'; mapping = 'gray';
+
+  init_cml();
+  if strcmp(mode, "700D")
+    load HRA_112_112.txt
+    code_param = ldpc_init_user(HRA_112_112, modulation, mod_order, mapping);
+    assert(Nbitsperframe == (code_param.coded_bits_per_frame + Nuwbits + Ntxtbits));
+    % unused for this mode
+    Nbitspercodecframe = Ncodecframespermodemframe = 0;
+  end
+  if strcmp(mode, "700E")
+    load HRA_56_56.txt
+    code_param = ldpc_init_user(HRA_56_56, modulation, mod_order, mapping);
+    assert(Nbitsperframe == (code_param.coded_bits_per_frame + Nuwbits + Ntxtbits));
+    % unused for this mode
+    Nbitspercodecframe = Ncodecframespermodemframe = 0;
+  end
+  if strcmp(mode, "2020")
+    load HRA_504_396.txt
+    code_param = ldpc_init_user(HRA_504_396, modulation, mod_order, mapping);
+    code_param.data_bits_per_frame = 312;
+    code_param.coded_bits_per_frame = code_param.data_bits_per_frame + code_param.ldpc_parity_bits_per_frame;
+    code_param.coded_syms_per_frame = code_param.coded_bits_per_frame/code_param.bits_per_symbol;
+    printf("2020 mode\n");
+    printf("ldpc_data_bits_per_frame = %d\n", code_param.ldpc_data_bits_per_frame);
+    printf("ldpc_coded_bits_per_frame  = %d\n", code_param.ldpc_coded_bits_per_frame);
+    printf("ldpc_parity_bits_per_frame  = %d\n", code_param.ldpc_parity_bits_per_frame);
+    printf("data_bits_per_frame = %d\n", code_param.data_bits_per_frame);
+    printf("coded_bits_per_frame  = %d\n", code_param.coded_bits_per_frame);
+    printf("coded_syms_per_frame  = %d\n", code_param.coded_syms_per_frame);
+    printf("ofdm_bits_per_frame  = %d\n", Nbitsperframe);
+    Nbitspercodecframe = 52; Ncodecframespermodemframe = 6;
+    printf("  Nuwbits: %d  Ntxtbits: %d\n", Nuwbits, Ntxtbits);
+    Nparity = code_param.ldpc_parity_bits_per_frame;
+    totalbitsperframe = code_param.data_bits_per_frame + Nparity + Nuwbits + Ntxtbits;
+    printf("Total bits per frame: %d\n", totalbitsperframe);
+    assert(totalbitsperframe == Nbitsperframe);
+  end
+  if strcmp(mode, "qam16c1")
+      load H2064_516_sparse.mat
+      code_param = ldpc_init_user(HRA, modulation='QAM', mod_order=16, mapping="", reshape(states.qam16,1,16));
+  end
+  if strcmp(mode, "qam16c2")
+      framesize = 16200; rate = 0.6;
+      code_param = ldpc_init_builtin("dvbs2", rate, framesize, modulation='QAM', mod_order=16, mapping="", reshape(states.qam16,1,16));
+  end
+  if strcmp(mode, "datac5")
+      framesize = 16200; rate = 0.6;
+      code_param = ldpc_init_builtin("dvbs2", rate, framesize, modulation='QPSK', mod_order=4, mapping="");
+  end
+  if strcmp(mode, "datac0") || strcmp(mode, "datac13")
+    load H_128_256_5.mat
+    code_param = ldpc_init_user(H, modulation, mod_order, mapping);
+  end
+  if strcmp(mode, "datac1")
+    load H_4096_8192_3d.mat
+    code_param = ldpc_init_user(HRA, modulation, mod_order, mapping);
+  end
+  if strcmp(mode, "datac3")
+    load H_1024_2048_4f.mat
+    code_param = ldpc_init_user(H, modulation, mod_order, mapping);
+  end
+  if strcmp(mode, "datac4")
+    load H_1024_2048_4f
+    code_param = ldpc_init_user(H, modulation, mod_order, mapping);
+    code_param.data_bits_per_frame = 448;
+    code_param.coded_bits_per_frame = code_param.data_bits_per_frame + code_param.ldpc_parity_bits_per_frame;
+    code_param.coded_syms_per_frame = code_param.coded_bits_per_frame/code_param.bits_per_symbol;
+  end
+  if strcmp(mode, "datac13")
+    load H_256_512_4.mat
+    code_param = ldpc_init_user(H, modulation, mod_order, mapping);
+    code_param.data_bits_per_frame = 128;
+    code_param.coded_bits_per_frame = code_param.data_bits_per_frame + code_param.ldpc_parity_bits_per_frame;
+    code_param.coded_syms_per_frame = code_param.coded_bits_per_frame/code_param.bits_per_symbol;
+  end
+  if strcmp(mode, "datac0") || strcmp(mode, "datac1") || strcmp(mode, "datac3") ...
+     || strcmp(mode, "datac4") || strcmp(mode, "qam16c1") ...
+     || strcmp(mode, "qam16c2") || strcmp(mode, "datac5") || strcmp(mode, "datac13")
+    printf("ldpc_data_bits_per_frame = %d\n", code_param.ldpc_data_bits_per_frame);
+    printf("ldpc_coded_bits_per_frame  = %d\n", code_param.ldpc_coded_bits_per_frame);
+    printf("ldpc_parity_bits_per_frame  = %d\n", code_param.ldpc_parity_bits_per_frame);
+    printf("Nbitsperpacket  = %d\n", Nbitsperpacket);
+    Nparity = code_param.ldpc_parity_bits_per_frame;
+    totalbitsperframe = code_param.data_bits_per_frame + Nparity + Nuwbits + Ntxtbits;
+    printf("totalbitsperframe = %d\n", totalbitsperframe);
+    assert(totalbitsperframe == Nbitsperpacket);
+    Nbitspercodecframe = Ncodecframespermodemframe = -1;
+  end
+endfunction
+
+
diff --git a/octave/ofdm_rx.m b/octave/ofdm_rx.m
new file mode 100644
index 0000000..55e93cb
--- /dev/null
+++ b/octave/ofdm_rx.m
@@ -0,0 +1,251 @@
+% ofdm_rx.m
+% David Rowe May 2018
+%
+% OFDM file based uncoded rx to unit test core OFDM modem.  See also
+% ofdm_ldpc_rx which includes LDPC and interleaving, and ofdm_demod.c
+
+#{
+    1. Streaming mode operation:
+  
+       ofdm_rx("test_datac0.raw","datac0")
+    
+    2. Burst mode, tell state machine there is one packet in each burst:
+    
+       ofdm_rx("test_datac0.raw","datac0","packetsperburst",1)
+       
+    3. Burst mode, enable only postamble detecion:
+    
+       ofdm_rx("test_datac0.raw","datac0","packetsperburst",1, "postambletest")
+#}
+
+function ofdm_rx(filename, mode="700D", varargin)
+  ofdm_lib;
+  more off;
+  pkg load signal;
+  
+  % init modem
+
+  config = ofdm_init_mode(mode);
+  states = ofdm_init(config);
+  print_config(states);
+  ofdm_load_const;
+  states.verbose = 0;
+  pass_ber = 0;
+  pass_packet_count = 0;
+   
+  i = 1;
+  while i <= length(varargin)
+    if strcmp(varargin{i},"packetsperburst")
+      states.data_mode = "burst"; % use pre/post amble based sync
+      states.packetsperburst = varargin{i+1}; i++;
+      states.postambledetectoren = 1;
+    elseif strcmp(varargin{i},"passber")
+      pass_ber = varargin{i+1}; i++;
+    elseif strcmp(varargin{i},"passpacketcount")
+      pass_packet_count = varargin{i+1}; i++;
+    elseif strcmp(varargin{i},"postambletest")
+      printf("postamble test!\n");
+      states.postambletest = 1;
+      % at high SNR avoid firing on data frames just before postamble
+      states.timing_mx_thresh = 0.15;
+    else
+      printf("\nERROR unknown argument: %s\n", varargin{i});
+      return;
+    end
+    i++; 
+  end
+  
+  % load real samples from file
+
+  Ascale = states.amp_scale/2; % as input is a real valued signal
+  frx=fopen(filename,"rb"); rx = fread(frx, Inf, "short")/Ascale; fclose(frx);
+  Nsam = length(rx);  prx = 1;
+
+  % OK re-generate tx frame for BER calcs
+
+  tx_bits = create_ldpc_test_frame(states, coded_frame=0);
+
+  % init logs and BER stats
+
+  rx_np_log = []; timing_est_log = []; delta_t_log = []; foff_est_hz_log = [];
+  sample_point_log = [];
+  channel_est_pilot_log = []; snr_log = [];
+  Terrs = Tbits = Terrs_coded = Tbits_coded = Tpackets = Tpacketerrs = 0;
+  packet_count = frame_count = 0;
+  Nerrs_coded_log = Nerrs_log = [];
+  error_positions = [];
+
+  prx = 1;
+  nin = Nsamperframe+2*(M+Ncp);
+  states.verbose = 1;
+  Nsymsperpacket = Nbitsperpacket/bps; Nsymsperframe = Nbitsperframe/bps;
+  rx_syms = zeros(1,Nsymsperpacket); rx_amps = zeros(1,Nsymsperpacket);
+  Nerrs = 0; rx_uw = zeros(1,states.Nuwbits);
+
+  % main loop ----------------------------------------------------------------
+  
+  f = 1;
+  while(prx < Nsam)
+    
+    % insert samples at end of buffer, set to zero if no samples
+    % available to disable phase estimation on future pilots on last
+    % frame of simulation
+
+    lnew = min(Nsam-prx,states.nin);
+    rxbuf_in = zeros(1,states.nin);
+
+    if lnew
+      rxbuf_in(1:lnew) = rx(prx:prx+lnew-1);
+    end
+    prx += states.nin;
+
+    if states.verbose
+      printf("f: %3d nin: %4d st: %-6s ", f, states.nin, states.sync_state);
+    end
+
+    if strcmp(states.sync_state,'search')
+      [timing_valid states] = ofdm_sync_search(states, rxbuf_in);
+    else
+      % accumulate a buffer of data symbols for this packet
+      rx_syms(1:end-Nsymsperframe) = rx_syms(Nsymsperframe+1:end);
+      rx_amps(1:end-Nsymsperframe) = rx_amps(Nsymsperframe+1:end);
+      [states rx_bits achannel_est_pilot_log arx_np arx_amp] = ofdm_demod(states, rxbuf_in);
+      rx_syms(end-Nsymsperframe+1:end) = arx_np;
+      rx_amps(end-Nsymsperframe+1:end) = arx_amp;
+
+      rx_uw = extract_uw(states, rx_syms(end-Nuwframes*Nsymsperframe+1:end), rx_amps(end-Nuwframes*Nsymsperframe+1:end));
+
+      % We need the full packet of symbols before disassembling and checking for bit errors
+      if states.modem_frame == (states.Np-1);
+        rx_bits = zeros(1,Nbitsperpacket);
+        for s=1:Nsymsperpacket
+          if bps == 2
+             rx_bits(bps*(s-1)+1:bps*s) = qpsk_demod(rx_syms(s));
+          elseif bps == 4
+             rx_bits(bps*(s-1)+1:bps*s) = qam16_demod(states.qam16,rx_syms(s), rx_amps(s));
+          end
+        end
+
+        errors = xor(tx_bits, rx_bits);
+        Nerrs = sum(errors);
+        Nerrs_log = [Nerrs_log Nerrs];
+        Terrs += Nerrs;
+        Tbits += Nbitsperpacket;
+        packet_count++;
+        
+        % per-packet SNR estimate
+        EsNo_estdB = esno_est_calc(rx_syms);
+        SNR_estdB = snr_from_esno(states, EsNo_estdB);
+        snr_log = [snr_log SNR_estdB];
+      end
+
+      % we are in sync so log states
+
+      rx_np_log = [rx_np_log arx_np];
+      timing_est_log = [timing_est_log states.timing_est];
+      sample_point_log = [sample_point_log states.sample_point];
+      delta_t_log = [delta_t_log states.delta_t];
+      foff_est_hz_log = [foff_est_hz_log states.foff_est_hz];
+      channel_est_pilot_log = [channel_est_pilot_log; achannel_est_pilot_log];
+
+      frame_count++;
+    end
+    
+    states = sync_state_machine(states, rx_uw);
+
+    if states.verbose
+      if strcmp(states.last_sync_state,'search') == 0
+        if (states.modem_frame == 0) && (strcmp(states.sync_state, "trial") == 0)
+          printf(" euw: %3d %d mf: %2d pbw: %s foff: %4.1f eraw: %3d snr: %5.2f",
+                 states.uw_errors, states.sync_counter, states.modem_frame, states.phase_est_bandwidth(1),
+                 states.foff_est_hz, Nerrs, SNR_estdB);
+        else
+          printf(" euw: %3d %d mf: %2d pbw: %s foff: %4.1f",
+                 states.uw_errors, states.sync_counter, states.modem_frame, states.phase_est_bandwidth(1),
+                 states.foff_est_hz);
+        end
+      end
+      printf("\n");
+    end
+
+    % reset stats if in streaming mode, don't reset if in burst mode
+    if strcmp(states.data_mode, "streaming") && states.sync_start
+      Nerrs_log = [];
+      Terrs = Tbits = frame_count = 0;
+      rx_np_log = [];
+      sig_var_log = []; noise_var_log = [];
+    end
+    
+    f++;
+  end
+  Nframes = f;
+
+  ber = Terrs/(Tbits+1E-12);
+  printf("\nBER..: %5.4f Tbits: %5d Terrs: %5d\n", ber, Tbits, Terrs);
+
+  % If we have enough frames, calc BER discarding first few frames where freq
+  % offset is adjusting
+
+  Ndiscard = 20;
+  if packet_count > Ndiscard
+    Terrs -= sum(Nerrs_log(1:Ndiscard)); Tbits -= Ndiscard*Nbitsperframe;
+    printf("BER2.: %5.4f Tbits: %5d Terrs: %5d\n", Terrs/Tbits, Tbits, Terrs);
+  end
+
+  SNR_estdB = mean(snr_log);
+  printf("Packets: %3d Npre: %d Npost: %d SNR3k: %3.2f\n",
+         packet_count, states.npre, states.npost, SNR_estdB);
+
+  figure(1); clf;
+  tmp = exp(j*pi/4)*rx_np_log(floor(end/4):floor(end-end/8));
+  plot(tmp,'+');
+  mx = 2*max(abs(tmp));
+  axis([-mx mx -mx mx]);
+  title('Scatter');
+
+  figure(2); clf;
+  plot(angle(channel_est_pilot_log(:,2:Nc)),'g+', 'markersize', 5);
+  title('Phase est');
+  axis([1 length(channel_est_pilot_log) -pi pi]);
+
+  figure(3); clf;
+  plot(abs(channel_est_pilot_log(:,:)),'g+', 'markersize', 5);
+  title('Amp est');
+  axis([1 length(channel_est_pilot_log) -3 3]);
+
+  figure(4); clf;
+  subplot(211)
+  stem(delta_t_log)
+  title('delta t');
+  subplot(212)
+  plot(timing_est_log,';timing est;');
+  hold on; plot(sample_point_log,';sample point;'); hold off;
+
+  figure(5); clf;
+  plot(foff_est_hz_log)
+  mx = max(abs(foff_est_hz_log))+1;
+  axis([1 max(Nframes,2) -mx mx]);
+  title('Fine Freq');
+  ylabel('Hz')
+
+  figure(6); clf;
+  stem(Nerrs_log);
+  title('Errors/modem frame')
+  if length(Nerrs_log) > 1
+      axis([1 length(Nerrs_log) 0 Nbitsperframe*rate/2]);
+  endif
+
+  figure(7); clf;
+  plot(snr_log);
+  title('SNR estimates');
+
+  figure(8); clf; plot_specgram(rx, 8000, 500, 2500);
+
+  % optional pass criteria for ctests
+  if pass_ber > 0
+    if packet_count && (ber < pass_ber) printf("Pass!\n"); else printf("Fail!\n"); end;
+  end
+  if pass_packet_count > 0
+    if packet_count >= pass_packet_count printf("Pass!\n"); else printf("Fail!\n"); end;
+  end
+endfunction
diff --git a/octave/ofdm_state.m b/octave/ofdm_state.m
new file mode 100644
index 0000000..a2eca26
--- /dev/null
+++ b/octave/ofdm_state.m
@@ -0,0 +1,271 @@
+% ofdm_state.m
+%
+% Library of state machine functions for the OFDM modem
+
+1;
+
+%-------------------------------------------------------------------
+% sync_state_machine - calls mode-specific sync state state_machine
+%-------------------------------------------------------------------
+
+function states = sync_state_machine(states, rx_uw)
+  if strcmp(states.state_machine, "voice1")
+    states = sync_state_machine_voice1(states, rx_uw);
+  elseif strcmp(states.state_machine, "data")
+    if strcmp(states.data_mode, "streaming")
+      states = sync_state_machine_data_streaming(states, rx_uw);
+    else
+      states = sync_state_machine_data_burst(states, rx_uw);
+    end
+  elseif strcmp(states.state_machine, "voice2")
+    states = sync_state_machine_voice2(states, rx_uw);
+  else
+    assert(0);
+  endif
+endfunction
+
+%--------------------------------------------------------------------
+%  Due to the low pilot symbol insertion rate and acquisition issues
+%  the earlier OFDM modem waveforms (700D and 2020) need a complex
+%  state machine to help them avoid false sync.
+%--------------------------------------------------------------------
+
+function states = sync_state_machine_voice1(states, rx_uw)
+  ofdm_load_const;
+  next_state = states.sync_state;
+  states.sync_start = states.sync_end = 0;
+
+  if strcmp(states.sync_state,'search')
+
+    if states.timing_valid
+      states.frame_count = 0;
+      states.sync_counter = 0;
+      states.modem_frame = 0;
+      states.sync_start = 1;
+      next_state = 'trial';
+    end
+  end
+
+  if strcmp(states.sync_state,'synced') || strcmp(states.sync_state,'trial')
+
+    states.frame_count++;
+
+    % UW occurs at the start of a packet
+    if states.modem_frame == 0
+        states.uw_errors = sum(xor(tx_uw,rx_uw));
+
+        if strcmp(states.sync_state,'trial')
+          if states.uw_errors >= states.bad_uw_errors
+            states.sync_counter++;
+            states.frame_count = 0;
+          end
+          if states.sync_counter == 2
+            next_state = "search";
+            states.phase_est_bandwidth = "high";
+          end
+          if states.frame_count == 4
+            next_state = "synced";
+            % change to low bandwidth, but more accurate phase estimation
+            states.phase_est_bandwidth = "low";
+          end
+          if states.uw_errors < 2
+            next_state = "synced";
+            % change to low bandwidth, but more accurate phase estimation
+            states.phase_est_bandwidth = "low";
+          else
+            next_state = "search";
+          end
+        end
+
+        if strcmp(states.sync_state,'synced')
+          if states.uw_errors > 2
+            states.sync_counter++;
+          else
+            states.sync_counter = 0;
+          end
+
+          if states.sync_counter == 6
+            next_state = "search";
+            states.phase_est_bandwidth = "high";
+          end
+        end
+      end % if modem_frame == 0 ....
+
+      % keep track of where we are up to in packet
+      states.modem_frame++;
+      if (states.modem_frame >= states.Np) states.modem_frame = 0; end
+  end
+
+  states.last_sync_state = states.sync_state;
+  states.sync_state = next_state;
+endfunction
+
+
+%-------------------------------------------------------
+% data (streaming mode) state machine
+%-------------------------------------------------------
+
+function states = sync_state_machine_data_streaming(states, rx_uw)
+  ofdm_load_const;
+  next_state = states.sync_state;
+  states.sync_start = states.sync_end = 0;
+
+  if strcmp(states.sync_state,'search')
+    if states.timing_valid
+      states.sync_start = 1; 
+      states.sync_counter = 0;
+      next_state = 'trial';
+    end
+  end
+
+  states.uw_errors = sum(xor(tx_uw,rx_uw));
+
+  if strcmp(states.sync_state,'trial')
+    if states.uw_errors < states.bad_uw_errors;
+      next_state = "synced";
+      states.packet_count = 0;
+      states.modem_frame = Nuwframes;
+    else
+      states.sync_counter++;
+      if states.sync_counter > Np
+        next_state = "search";
+      end
+    end
+  end
+ 
+  % Note packetsperburst==0 we don't ever lose sync, which is useful for 
+  % stream based testing or external control of state machine
+  
+  if strcmp(states.sync_state,'synced')
+    states.modem_frame++;
+    if (states.modem_frame >= states.Np) 
+      states.modem_frame = 0; 
+      states.packet_count++;
+      if (states.packetsperburst)
+        if (states.packet_count >= states.packetsperburst)
+          next_state = "search";
+        end
+      end
+    end
+  end
+  
+  states.last_sync_state = states.sync_state;
+  states.sync_state = next_state;
+endfunction
+
+%-------------------------------------------------------
+% data (burst mode) state machine
+%-------------------------------------------------------
+
+function states = sync_state_machine_data_burst(states, rx_uw)
+  ofdm_load_const;
+  next_state = states.sync_state;
+  states.sync_start = states.sync_end = 0;
+
+  if strcmp(states.sync_state,'search')
+    if states.timing_valid
+      states.sync_start = 1; 
+      states.sync_counter = 0;
+      next_state = 'trial';
+    end
+  end
+
+  states.uw_errors = sum(xor(tx_uw,rx_uw));
+
+  % pre or post-amble has told us this is the start of the packet.  Confirm we 
+  % have a valid frame by checking the UW after the modem frames containing
+  % the UW have been received 
+  if strcmp(states.sync_state,'trial')
+    states.sync_counter++;
+    if states.sync_counter == Nuwframes
+      if states.uw_errors < states.bad_uw_errors;
+        next_state = "synced";
+        states.packet_count = 0;                          % number of packets in this burst
+        states.modem_frame = Nuwframes;                   % which modem frame we are up to in packet
+      else
+        next_state = "search";
+        % reset rxbuf to make sure we only ever do a postamble loop once through same samples
+        states.rxbufst = states.Nrxbufhistory;
+        states.rxbuf = zeros(1, states.Nrxbuf);
+      end
+    end
+  end
+  
+  if strcmp(states.sync_state,'synced')
+    states.modem_frame++;
+    if (states.modem_frame >= states.Np) 
+      states.modem_frame = 0;                           % start of new packet
+      states.packet_count++;
+      if (states.packetsperburst)
+        if (states.packet_count >= states.packetsperburst)
+          next_state = "search";                        % we've finished this burst
+          % reset rxbuf to make sure we only ever do a postamble loop once through same samples
+          states.rxbufst = states.Nrxbufhistory;
+          states.rxbuf = zeros(1, states.Nrxbuf);
+        end
+      end
+    end
+  end
+  
+  states.last_sync_state = states.sync_state;
+  states.sync_state = next_state;
+endfunction
+
+%-------------------------------------------------------
+% fast sync voice state state_machine
+%-------------------------------------------------------
+
+function states = sync_state_machine_voice2(states, rx_uw)
+  ofdm_load_const;
+  next_state = states.sync_state;
+  states.sync_start = states.sync_end = 0;
+
+  if strcmp(states.sync_state,'search')
+
+    if states.timing_valid
+      states.frame_count = 0;
+      states.sync_counter = 0;
+      states.modem_frame = 0;
+      states.sync_start = 1;
+      next_state = 'trial';
+    end
+  end
+
+  if strcmp(states.sync_state,'synced') || strcmp(states.sync_state,'trial')
+
+    states.frame_count++;
+
+    % UW occurs at the start of a packet
+    if states.modem_frame == 0
+        states.uw_errors = sum(xor(tx_uw,rx_uw));
+
+        if strcmp(states.sync_state,'trial')
+          if states.uw_errors <= states.bad_uw_errors
+            next_state = "synced";
+          else
+            next_state = "search";
+          end
+        end
+
+        if strcmp(states.sync_state,'synced')
+          if states.uw_errors > states.bad_uw_errors
+            states.sync_counter++;
+          else
+            states.sync_counter = 0;
+          end
+
+          if states.sync_counter == 6
+            next_state = "search";
+          end
+        end
+      end
+
+      % keep track of where we are up to in packet
+      states.modem_frame++;
+      if (states.modem_frame >= states.Np) states.modem_frame = 0; end
+  end
+
+  states.last_sync_state = states.sync_state;
+  states.sync_state = next_state;
+endfunction
+
diff --git a/octave/ofdm_time_sync.m b/octave/ofdm_time_sync.m
new file mode 100644
index 0000000..6c14627
--- /dev/null
+++ b/octave/ofdm_time_sync.m
@@ -0,0 +1,22 @@
+% ofdm_time_sync.m
+% David Rowe June 2019
+%
+% Tests ofdm modem sync time, using real, off air files
+
+function ofdm_time_sync(filename, Ntrials=10)
+
+  time_to_sync = []; passes = fails = 0;
+  for toffset=0:Ntrials-1
+    atime = ofdm_ldpc_rx(filename, mode="700D", interleave_frames = 1, "", start_secs=toffset, len_secs=5);
+    if atime != -1
+      passes++;
+      time_to_sync = [time_to_sync atime];
+    else
+       fails++;
+    end
+  end
+  printf("pass: %d fails: %d mean: %3.2f var %3.2f\n", passes, fails, mean(time_to_sync), var(time_to_sync));
+  figure(1); clf; plot(time_to_sync);
+endfunction
+
+
diff --git a/octave/ofdm_tx.m b/octave/ofdm_tx.m
new file mode 100644
index 0000000..0683cc9
--- /dev/null
+++ b/octave/ofdm_tx.m
@@ -0,0 +1,95 @@
+% ofdm_tx.m
+% David Rowe March 2018
+%
+% File based, uncoded OFDM tx.  Generates a file of ofdm samples,
+% including optional channel simulation.  See also ofdm_ldpc_tx.m, and
+% ofdm_mod.c
+
+#{
+  Examples:
+
+  i) 10 seconds, AWGN channel at SNR3k=3dB
+
+    octave:4> ofdm_tx("awgn_snr_3dB_700d.raw", "700D", 10, 3)
+
+  ii) 10 seconds, multipath poor channel at SNR=6dB
+
+    octave:5> ofdm_tx("hf_snr_6dB_700d.raw", "700D", 10, 6, "mpp")
+    
+  iii) Data mode example, three bursts of one packet each, SNR=100dB:
+  
+    octave:6> ofdm_tx("test_datac0.raw","datac0",1,100,"awgn","bursts",3)
+
+#}
+
+function ofdm_tx(filename, mode="700D", N, SNR3kdB=100, channel='awgn', varargin)
+  ofdm_lib;
+  channel_lib;
+  randn('seed',1);
+  pkg load signal;
+
+  tx_clip_en = 0; freq_offset_Hz = 0.0; burst_mode = 0; Nbursts = 1;
+  i = 1;
+  while i<=length(varargin)
+    if strcmp(varargin{i},"txclip") 
+      tx_clip_en = 1;
+    elseif strcmp(varargin{i},"bursts") 
+      burst_mode = 1;
+      Nbursts = varargin{i+1}; i++;
+    else
+      printf("\nERROR unknown argument: [%d] %s \n", i ,varargin{i});
+      return;
+    end
+    i++;
+  end
+  
+  % init modem
+
+  config = ofdm_init_mode(mode);
+  states = ofdm_init(config);  
+  print_config(states);
+  ofdm_load_const;
+
+  if burst_mode
+    % burst mode: treat N as Npackets
+    Npackets = N; 
+ else
+    % streaming mode: treat N as Nseconds
+    Npackets = round(N/states.Tpacket);
+  end
+
+  % Generate fixed test frame of tx bits and concatenate packets
+
+  tx_bits = create_ldpc_test_frame(states, coded_frame=0);
+  atx = ofdm_mod(states, tx_bits);
+  tx = [];
+  for f=1:Npackets
+    tx = [tx atx];
+  end
+  if length(states.data_mode)
+    % note postamble provides a "column" of pilots at the end of the burst
+    tx = [states.tx_preamble tx states.tx_postamble];
+  end
+  
+  % if burst mode concatenate multiple bursts with spaces
+  if burst_mode
+    atx = tx; tx = zeros(1,states.Fs); on_time = 0; off_time = states.Fs;
+    for b=1:Nbursts
+      tx = [tx atx zeros(1,states.Fs)];
+      on_time += length(atx);
+      off_time += states.Fs;
+    end
+    % adjust channel simulator SNR setpoint given (burst on length)/(total length including silence) ratio
+    mark_space_SNR_offset = 10*log10(on_time/(on_time+off_time));
+    SNRdB_setpoint = SNR3kdB + mark_space_SNR_offset;
+    printf("SNR3kdB: %4.2f Burst offset: %4.2f SNRdB_setpoint: %4.2f\n", SNR3kdB, mark_space_SNR_offset, SNRdB_setpoint)
+  else
+    SNRdB_setpoint = SNR3kdB; % no adjustment to SNR in streaming mode
+  end
+  
+  printf("Npackets: %d  Nbursts: %d  ", Npackets, Nbursts);
+  states.verbose=1;
+  tx = ofdm_hilbert_clipper(states, tx, tx_clip_en);
+  rx_real = ofdm_channel(states, tx, SNRdB_setpoint, channel, freq_offset_Hz);
+  frx = fopen(filename,"wb"); fwrite(frx, rx_real, "short"); fclose(frx);
+endfunction
diff --git a/octave/oqpsk.m b/octave/oqpsk.m
new file mode 100644
index 0000000..f308617
--- /dev/null
+++ b/octave/oqpsk.m
@@ -0,0 +1,521 @@
+% oqpsk.m
+% David Rowe Jan 2017
+%
+% Unfiltered OQPSK modem implementation and simulations to test,
+% derived from GMSK modem in gmsk.m
+%
+% Usage: see "choose one of these to run" at the end of this file.
+
+rand('state',1); 
+randn('state',1);
+graphics_toolkit ("gnuplot");
+format
+more off;
+
+% init modem states
+
+function oqpsk_states = oqpsk_init(oqpsk_states, Rs)
+
+  % general 
+
+  verbose = oqpsk_states.verbose;
+  oqpsk_states.Fs  = 4*Rs;
+  oqpsk_states.Rs  = Rs;
+  oqpsk_states.bps = 2;              % two bit/symbol for QPSK    
+
+  M = oqpsk_states.M = oqpsk_states.Fs/oqpsk_states.Rs;
+  assert(floor(M) == M, "oversampling factor M must be an integer");
+  assert(floor(M/2) == M/2, "(oversampling factor M)/2 must be an integer to offset QPSK");
+endfunction
+
+
+% Gray coded QPSK modulation function
+
+function symbol = qpsk_mod(two_bits)
+    two_bits_decimal = sum(two_bits .* [2 1]); 
+    switch(two_bits_decimal)
+        case (0) symbol =  1;
+        case (1) symbol =  j;
+        case (2) symbol = -j;
+        case (3) symbol = -1;
+    endswitch
+endfunction
+
+
+% Gray coded QPSK demodulation function
+
+function two_bits = qpsk_demod(symbol)
+    if isscalar(symbol) == 0
+        printf("only works with scalars\n");
+        return;
+    end
+    bit0 = real(symbol*exp(j*pi/4)) < 0;
+    bit1 = imag(symbol*exp(j*pi/4)) < 0;
+    two_bits = [bit1 bit0];
+endfunction
+
+
+% Unfiltered OQPSK modulator 
+
+function [tx tx_symb] = oqpsk_mod(oqpsk_states, tx_bits)
+  M = oqpsk_states.M;
+  bps = oqpsk_states.bps;
+  nsym = length(tx_bits)/bps;
+  nsam = nsym*M;
+  verbose = oqpsk_states.verbose;
+
+  % Map bits to Gray coded QPSK symbols
+
+  tx_symb = zeros(1,nsym);
+
+  for i=1:nsym
+    tx_symb(i) = qpsk_mod(tx_bits(2*i-1:2*i))*exp(j*pi/4);
+  end
+  
+  % Oversample by M (sample and hold) to create unfiltered QPSK
+
+  tx = zeros(1, nsam);
+  for i=1:nsym
+    tx((i-1)*M+1:(i*M)) = tx_symb(i);
+  end
+  
+  % delay Q arm by half of a symbol to make OQPSK
+
+  tx = [real(tx) zeros(1,M/2)] + j*[zeros(1,M/2) imag(tx)];
+endfunction
+
+
+#{ 
+
+  Unfiltered OQPSK demodulator function, with (optional) phase and
+  timing estimation.  Adapted from Fig 8 of [1].  See also gmsk.m and
+  [2].
+
+  Note demodulator returns phase corrected symbols sampled at ideal
+  timing instant.  These symbols may have a m*pi/2 phase ambiguity due
+  to properties of phase tracking loop.  The caller is responsible for
+  determining this ambiguity and recovering the actual bits.
+
+  [1] GMSK demodulator in IEEE Trans on Comms, Muroyta et al, 1981,
+  "GSM Modulation for Digital Radio Telephony".
+
+  [2] GMSK Modem Simulation, http://www.rowetel.com/?p=3824
+
+#}
+
+
+function [rx_symb rx_int filt_log dco_log timing_adj Toff] = oqpsk_demod(oqpsk_states, rx)
+  M = oqpsk_states.M;
+  Rs = oqpsk_states.Rs;
+  Fs = oqpsk_states.Fs;
+  nsam = length(rx);
+  nsym = floor(nsam/M);
+  verbose = oqpsk_states.verbose;
+
+  timing_angle_log = zeros(1,length(rx));
+  rx_int = zeros(1,length(rx));
+  dco_log = filt_log = zeros(1,nsam);
+
+  % Unfiltered PSK - integrate energy in symbols M long in re and im arms
+
+  rx_int = conv(rx,ones(1,M))/M;
+
+  % phase and fine frequency tracking and correction ------------------------
+
+  if oqpsk_states.phase_est
+ 
+      % DCO design from "Introduction To Phase-Lock Loop System Modeling", Wen Li
+      % http://www.ece.ualberta.ca/~ee401/parts/data/PLLIntro.pdf
+
+      eta = 0.707;
+      wn = 2*pi*10*(Rs/4800);  % (Rs/4800) -> found reducing the BW beneficial with falling Rs
+      Ts = 1/Fs;
+      g1 = 1 - exp(-2*eta*wn*Ts);
+      g2 = 1 + exp(-2*eta*wn*Ts) - 2*exp(-eta*wn*Ts)*cos(wn*Ts*sqrt(1-eta*eta));
+      Gpd = 2/pi;
+      Gvco = 1;
+      G1 = g1/(Gpd*Gvco);  G2 = g2/(Gpd*Gvco);
+      %printf("g1: %e g2: %e G1: %e G2: %e\n", g1, g2, G1, G2);
+  
+      filt_prev = dco = lower = ph_err_filt = ph_err = 0;
+  end
+
+  if  oqpsk_states.timing_est    
+      % w is the ref sine wave at the timing clock frequency
+      % tw is the length of the window used to estimate timing
+
+      tw = 200*M;
+      k = 1;
+      xr_log = []; xi_log = [];
+      w_log = [];
+      timing_clock_phase = 0;
+      timing_angle = 0;
+      timing_angle_log = zeros(1,nsam);
+  end
+
+  % Sample by sample processing loop for timing and phase est.  Note
+  % this operates at sample rate Fs, unlike many PSK modems that
+  % operate at the symbol rate Rs
+
+  for i=1:nsam
+
+    if oqpsk_states.timing_est
+
+      % update sample timing estimate every tw samples, free wheel
+      % rest of the time
+
+      if mod(i,tw) == 0
+        l = i - tw+1;
+        xr = abs(real(rx_int(l:l+tw-1)));
+        xi = abs(imag(rx_int(l:l+tw-1)));
+        w = exp(j*(l:l+tw-1)*2*pi*Rs/Fs);
+        X = xr * w';
+        timing_clock_phase = timing_angle = angle(X);
+        k++;
+        xr_log = [xr_log xr];
+        xi_log = [xi_log xi];
+        w_log = [w_log w];
+      else
+        timing_clock_phase += (2*pi)/M;
+      end
+      timing_angle_log(i) = timing_angle;
+    end
+
+    if oqpsk_states.phase_est
+
+      % PLL per-sample processing
+
+      rx_int(i) *= exp(-j*dco);
+      ph_err = sign(real(rx_int(i))*imag(rx_int(i)))*cos(timing_clock_phase);
+      lower = ph_err*G2 + lower;
+      filt  = ph_err*G1 + lower;
+      dco_log(i) = dco; 
+      dco   = dco + filt;
+      filt_log(i) = filt;
+
+    end
+  
+  end
+
+  % final adjustment of timing output to take into account slowly
+  % moving estimates due to sample clock offset.  Unwrap ensures that
+  % when timing angle jumps from -pi to pi we move to the next symbol
+  % and frame sync isn't broken
+
+  timing_adj = timing_angle_log*M/(2*pi); 
+  timing_adj_uw = unwrap(timing_angle_log)*M/(2*pi); 
+  % Toff = floor(2*M+timing_adj);
+  Toff = floor(timing_adj_uw+0.5);
+
+  % sample integrator output at correct timing instant
+    
+  k = 1;
+  re_syms = im_syms = zeros(1,nsym);  
+  rx_symb = [];
+  for i=M:M:nsam
+    if i-Toff(i)+M/2 <= nsam
+      re_syms(k) = real(rx_int(i-Toff(i)));
+      im_syms(k) = imag(rx_int(i-Toff(i)+M/2));
+      %re_syms(k) = real(rx_int(i));
+      %im_syms(k) = imag(rx_int(i));
+      rx_symb = [rx_symb re_syms(k) + j*im_syms(k)];
+      k++;
+    end
+  end
+  
+endfunction
+
+
+% Test modem over a range Eb/No points in an AWGN channel.  Can
+% simulate a variety of channel impairments and performs ambiguity
+% resolution.
+
+function sim_out = oqpsk_test(sim_in)
+  bitspertestframe =  sim_in.bitspertestframe;
+  nbits =  sim_in.nbits;
+  EbNodB = sim_in.EbNodB;
+  verbose = sim_in.verbose;
+  Rs = 4800;
+
+  oqpsk_states.verbose = verbose;
+  oqpsk_states.coherent_demod = sim_in.coherent_demod;
+  oqpsk_states.phase_est     = sim_in.phase_est;
+  oqpsk_states.timing_est    = sim_in.timing_est;
+  oqpsk_states = oqpsk_init(oqpsk_states, Rs);
+  M = oqpsk_states.M;
+  Fs = oqpsk_states.Fs;
+  Rs = oqpsk_states.Rs;
+  sample_clock_offset_ppm = sim_in.sample_clock_offset_ppm;
+
+  tx_testframe = round(rand(1, bitspertestframe));
+  ntestframes = floor(nbits/bitspertestframe);
+  tx_bits = [];
+  for i=1:ntestframes
+    tx_bits = [tx_bits tx_testframe];
+  end
+
+  for ne = 1:length(EbNodB)
+    aEbNodB = EbNodB(ne);
+    EbNo = 10^(aEbNodB/10);
+    variance = Fs/(Rs*EbNo*oqpsk_states.bps);
+
+    [tx tx_symb] = oqpsk_mod(oqpsk_states, tx_bits);
+    if sample_clock_offset_ppm
+       tx = resample(tx, 1E6, 1E6-sample_clock_offset_ppm);
+    end
+    nsam = length(tx);
+    
+    phi = sim_in.phase_offset + 2*pi*sim_in.freq_offset*(1:nsam)/M;
+
+    noise = sqrt(variance/2)*(randn(1,nsam) + j*randn(1,nsam));
+    st = 1+sim_in.timing_offset; en = length(tx);
+    rx = tx(st:en).*exp(j*phi(st:en)) + noise(st:en);
+
+    [rx_symb rx_int filt_log dco_log timing_adj Toff] = oqpsk_demod(oqpsk_states, rx);
+    
+    % OK so the phase and timing estimators get us close (e.g. a good
+    % scatter diagram), but no banana just yet.  One problem is the
+    % PLL can lock up on mulitples of pi/2.  Combinations of phase
+    % offsets can confuse the timing estimator. One tricky example is a
+    % phase offset of pi/2 which swaps I & Q, and with OQPSK (unlike
+    % MSK and friends) we can't easily tell which is I and which is Q
+    % after a phase rotation, e.g. could be IQIQIQI or QIQIQIQ
+
+    % So we need to determine the ambiguities:
+    %   a) could be m*pi/2 rotations of phase
+    %   b) could be I and Q swapped by timing est
+    %   c) time alignment of test frame
+      
+    nsymb = bitspertestframe/oqpsk_states.bps;
+    nrx_symb = length(rx_symb);
+    rx_bits = zeros(1, bitspertestframe);
+    atx_symb = tx_symb(1:nsymb);
+
+    % Treat I and Q as separate sequences, each with their own unique
+    % word.  In our case the UW is the whole test frame.  Correlate rx
+    % sequence with tx sequence at each possible offset through the
+    % received symbols to find the test frames.  Note we also
+    % correlate I of tx with Q of rx to trap any IQ swaps.
+    
+    % The sign of the I and Q correlation lets us sort out the pi/2
+    % phase rotation issue.
+
+    nerrs_tot = 0; nbits_tot = 0;
+
+    max_corr = real(atx_symb) * real(atx_symb)';
+    for offset=2:nrx_symb-nsymb+1
+      corr_ii(offset) = real(atx_symb) * real(rx_symb(offset:offset+nsymb-1))'/max_corr;
+      corr_qq(offset) = imag(atx_symb) * imag(rx_symb(offset:offset+nsymb-1))'/max_corr;
+      corr_iq(offset) = real(atx_symb) * imag(rx_symb(offset:offset+nsymb-1))'/max_corr;
+      corr_qi(offset) = imag(atx_symb) * real(rx_symb(offset:offset+nsymb-1))'/max_corr;
+      %printf("offset: %2d ii: % 5f qq: % 5f iq: % 5f qi: % 5f\n", 
+      %offset, corr_ii(offset), corr_qq(offset), corr_iq(offset), corr_qi(offset));
+
+      if abs(corr_ii(offset)) > 0.8
+
+        % no IQ swap, or time offset
+
+        i_sign = sign(corr_ii(offset));
+        q_sign = sign(corr_qq(offset));
+        arx_symb = i_sign*real(rx_symb(offset:offset+nsymb-1)) + j*q_sign*imag(rx_symb(offset:offset+nsymb-1));
+
+        for i=1:nsymb
+          rx_bits(2*i-1:2*i) = qpsk_demod(arx_symb(i)*exp(-j*pi/4));
+        end
+        nerrs = sum(xor(tx_testframe, rx_bits));
+        if verbose > 2
+          printf("offset: %5d swap: %d i_sign: % 2.1f q_sign: % 2.1f nerr: %d\n", 
+          offset, 0, i_sign, q_sign, nerrs);
+        end
+        nerrs_tot += nerrs;
+        nbits_tot += bitspertestframe;
+      end
+
+      if abs(corr_qi(offset)) > 0.8
+
+        % IQ swap, I part in Q part of symbol before
+
+        i_sign = sign(corr_iq(offset-1));
+        q_sign = sign(corr_qi(offset));
+        arx_symb = i_sign*imag(rx_symb(offset-1:offset+nsymb-2)) + j*q_sign*real(rx_symb(offset:offset+nsymb-1));
+
+        for i=1:nsymb
+          rx_bits(2*i-1:2*i) = qpsk_demod(arx_symb(i)*exp(-j*pi/4));
+        end
+        nerrs = sum(xor(tx_testframe, rx_bits));
+        if verbose > 1
+          printf("offset: %5d swap: %d i_sign: % 2.1f q_sign: % 2.1f nerr: %d\n", 
+                 offset, 1, i_sign, q_sign, nerrs);
+        end
+        nerrs_tot += nerrs;
+        nbits_tot += bitspertestframe;
+      end
+    end
+
+    TERvec(ne) = nerrs_tot;
+    BERvec(ne) = nerrs_tot/nbits_tot;
+    
+    if verbose > 0
+      printf("EbNo dB: %3.1f Nbits: %d Nerrs: %d BER: %4.3f BER Theory: %4.3f\n", 
+      aEbNodB, nbits_tot, nerrs_tot, BERvec(ne), 0.5*erfc(sqrt(EbNo)));
+    end
+
+    if find(sim_in.plots == 1)
+      figure(1); clf;
+      subplot(211)
+      stem(real(tx))
+      title('Tx samples');
+      ylabel('Inphase');
+      subplot(212)
+      stem(imag(tx))
+      ylabel('Quadrature');
+    end
+
+    if find(sim_in.plots == 2)
+      figure(2); clf;
+      f = fftshift(fft(rx));
+      Tx = 20*log10(abs(f));
+      plot((1:length(f))*Fs/length(f) - Fs/2, Tx)
+      grid;
+      title('OQPSK Demodulator Input Spectrum');
+    end
+
+    if find(sim_in.plots == 3)
+      figure(3); clf;
+      nplot = min(16, nbits/oqpsk_states.bps);
+      title('Rx Integrator');
+      subplot(211)
+      stem(real(rx_int(1:nplot*M)))
+      axis([1 nplot*M -1 1])
+      subplot(212)
+      stem(imag(rx_int(1:nplot*M)))
+      axis([1 nplot*M -1 1])
+    end
+
+    if find(sim_in.plots == 4)
+      figure(4); clf;
+      subplot(211);
+      plot(filt_log);
+      title('PLL filter')
+      subplot(212);
+      plot(dco_log);
+      title('PLL DCO phase');
+    end
+
+    if find(sim_in.plots == 5)
+      figure(5); clf;
+      subplot(211)
+      plot(timing_adj);
+      title('Timing est');
+      subplot(212)
+      plot(Toff);
+      title('Timing est unwrap');
+    end
+
+    if find(sim_in.plots == 6)
+      figure(6); clf;
+      st = floor(0.5*nrx_symb);
+      plot(rx_symb(st:nrx_symb), '+');
+      title('Scatter Diagram');
+      axis([-1.5 1.5 -1.5 1.5])
+    end
+
+    if find(sim_in.plots == 7)
+      figure(7); clf;
+      subplot(211)
+      plot(corr_ii);
+      axis([1 length(corr_ii) -1.2 1.2]);
+      title('corr ii');
+      subplot(212)
+      plot(corr_qi);
+      axis([1 length(corr_ii) -1.2 1.2]);
+      title('corr qi');
+    end
+
+    if find(sim_in.plots == 8)
+      figure(8); clf;
+      subplot(211);
+      stem(real(arx_symb));
+      title('Rx symbols')
+      subplot(212);
+      stem(imag(arx_symb));
+    end
+
+    if find(sim_in.plots == 9)
+      figure(9); clf;
+      subplot(211)
+      stem(tx_testframe(1:min(20,length(rx_bits))))
+      title('Tx Bits')
+      subplot(212)
+      stem(rx_bits(1:min(20,length(rx_bits))))
+      title('Rx Bits')
+    end
+  end
+
+  sim_out.TERvec = TERvec;
+  sim_out.BERvec = BERvec;
+  sim_out.Rs = oqpsk_states.Rs;
+endfunction
+
+
+function run_oqpsk_single
+  sim_in.coherent_demod   = 1;
+  sim_in.phase_est        = 1;
+  sim_in.timing_est       = 1;
+  sim_in.bitspertestframe = 100;
+  sim_in.nbits            = 10000;
+  sim_in.EbNodB           = 4;
+  sim_in.verbose          = 1;
+  sim_in.phase_offset     = 3*pi/4;  % in radians
+  sim_in.timing_offset    = 4;       % in samples 0..M-1
+  sim_in.freq_offset      = 0.001;   % fraction of Symbol Rate
+  sim_in.plots            = [1 2 4 5 6 7];
+  sim_in.sample_clock_offset_ppm = 100;
+
+  sim_out = oqpsk_test(sim_in);
+endfunction
+
+
+% Generate a bunch of BER versus Eb/No curves for various demods
+
+function run_oqpsk_curves
+  sim_in.coherent_demod = 1;
+  sim_in.EbNodB = 2:8;
+  sim_in.verbose = 1;
+  sim_in.phase_est        = 1;
+  sim_in.timing_est       = 1;
+  sim_in.bitspertestframe = 100;
+  sim_in.nbits            = 50000;
+  sim_in.phase_offset     = 3*pi/4;  % in radians
+  sim_in.timing_offset    = 4;       % in samples 0..M-1
+  sim_in.freq_offset      = 0.001;   % fraction of Symbol Rate
+  sim_in.plots            = [];
+  sim_in.sample_clock_offset_ppm = 0;
+
+  oqpsk_coh = oqpsk_test(sim_in);
+
+  Rs = oqpsk_coh.Rs;
+  EbNo  = 10 .^ (sim_in.EbNodB/10);
+  oqpsk_theory.BERvec = 0.5*erfc(sqrt(EbNo));
+
+  % BER v Eb/No curves
+
+  figure;
+  clf;
+  semilogy(sim_in.EbNodB, oqpsk_theory.BERvec,'r+-;OQPSK theory;')
+  hold on;
+  semilogy(sim_in.EbNodB, oqpsk_coh.BERvec,'g+-;OQPSK sim;')
+  hold off;
+  grid("minor");
+  axis([min(sim_in.EbNodB) max(sim_in.EbNodB) 1E-4 1])
+  legend("boxoff");
+  xlabel("Eb/No (dB)");
+  ylabel("Bit Error Rate (BER)")
+endfunction
+
+
+% Choose one of these to run ------------------------------------------
+
+run_oqpsk_single
+%run_oqpsk_curves
+
diff --git a/octave/papr_test.m b/octave/papr_test.m
new file mode 100644
index 0000000..3785e25
--- /dev/null
+++ b/octave/papr_test.m
@@ -0,0 +1,407 @@
+% papr_test.m
+%
+% Experiments with PAPR reduction using clipping/compression
+%
+% OFDM Tx -> compress -> filter -> normalise power -> channel -> OFDM Rx
+
+#{
+  TODO:
+  [ ] option for normalised power after clipper
+  [ ] experiment to plot those curves
+#}
+
+1;
+
+function symbol = qpsk_mod(two_bits)
+    two_bits_decimal = sum(two_bits .* [2 1]); 
+    switch(two_bits_decimal)
+        case (0) symbol =  1;
+        case (1) symbol =  j;
+        case (2) symbol = -j;
+        case (3) symbol = -1;
+    endswitch
+endfunction
+
+function two_bits = qpsk_demod(symbol)
+    bit0 = real(symbol*exp(j*pi/4)) < 0;
+    bit1 = imag(symbol*exp(j*pi/4)) < 0;
+    two_bits = [bit1 bit0];
+endfunction
+
+function papr = calc_papr(tx)
+  papr = 10*log10(max(abs(tx).^2)/mean(abs(tx).^2));
+end
+
+% test PAPR calculation with a two tone signal of known PAPR (3dB)
+function test_papr
+  f1=800; f2=1200; Fs=8000; n=(0:Fs-1);
+  tx=exp(j*2*pi*n*f1/Fs) + exp(j*2*pi*n*f2/Fs);
+  papr = calc_papr(tx);
+  assert(abs(papr-3.0) < 0.05, 'test_papr() failed!')
+end
+
+% "Genie" OFDM modem simulation that assumes ideal sync
+
+function [ber papr] = run_sim(Nc, Nsym, EbNodB, channel='awgn', plot_en=0, filt_en=0, method="", threshold=1, norm_ebno=0)
+    rand('seed',1);
+    randn('seed',1);
+    
+    M    = 160;    % number of samples in each symbol
+    bps  = 2;      % two bits per symbol for QPSK
+    Ncp  = 16;     % cyclic prefix samples
+    Fs   = 8000;
+    
+    phase_est = 1; % perform phase estimation/correction
+    timing = Ncp;
+
+    if strcmp(method,"diversity")
+      % total power of tx symbol after combination the same.  Scatter plot positions
+      % different but also twice as much noise (bandwidth)
+      Nd = 2; gain = 1/sqrt(2);
+    else
+      Nd = 1; gain = 1.0;
+    end
+    
+    if strcmp(channel,'multipath')
+      dopplerSpreadHz = 1; path_delay = Ncp/2;
+      Nsam = floor(Nsym*(M+Ncp)*1.1);
+      spread1 = doppler_spread(dopplerSpreadHz, Fs, Nsam);
+      spread2 = doppler_spread(dopplerSpreadHz, Fs, Nsam);
+    end
+
+    papr_log = [];
+    for e=1:length(EbNodB)
+        % generate a 2D array of QPSK symbols
+
+        Nphases = 2^bps;
+        tx_phases = pi/2*floor((rand(Nsym,Nc)*Nphases));
+        if strcmp(method,"diversity")
+          % duplicate carriers but with opposite phase
+          tx_phases = [tx_phases (tx_phases-pi/2)];
+        end
+        tx_sym = gain*exp(j*tx_phases);
+
+        % carrier frequencies, centre about 0
+        st = floor(Nc*Nd/2);
+        w = 2*pi/M*(-st:-st+Nc*Nd-1);
+        
+        % generate OFDM signal
+
+        tx = [];
+        for s=1:Nsym
+          atx = zeros(1,M);
+          for c=1:Nc*Nd
+            atx += exp(j*(0:M-1)*w(c))*tx_sym(s,c);
+          end
+          % insert cyclic prefix and build up stream of time domain symbols
+          % note CP costs us 10*log10((Ncp+M)/M) in Eb, as energy in CP isn't used for demodulation
+          tx = [tx atx(end-Ncp+1:end) atx];
+        end
+        Nsam = length(tx);
+        
+        if strcmp(channel,'multipath')
+          assert(length(spread1) >= Nsam);
+          assert(length(spread2) >= Nsam);
+        end
+        
+        % bunch of PAPR reduction options
+        tx_ = tx;
+
+        % determine threshold based on CDF
+        cdf = empirical_cdf((1:Nc),abs(tx));
+        if strcmp(method, "clip") || strcmp(method, "diversity") || strcmp(method, "compand")
+          if threshold < 1
+            threshold_level = find(cdf >= threshold)(1);
+          else
+            threshold_level = 10*Nc;
+          end
+          
+          % printf("threshold: %f threshold_level: %f\n", threshold, threshold_level);
+        end
+        
+        if strcmp(method, "clip") || strcmp(method, "diversity")
+          ind = find(abs(tx) > threshold_level);
+          tx_(ind) = threshold_level*exp(j*angle(tx(ind)));
+        end
+        if strcmp(method, "compand")
+          # power law compander x = a*y^power, y = (x/a) ^ (1/power)
+          power=2; a=threshold_level/(threshold_level^power);
+          tx_mag = (abs(tx)/a) .^ (1/power);
+          tx_ = tx_mag.*exp(j*angle(tx));
+        end
+        
+        if filt_en
+          Nfilt=80;
+          b = fir1(Nfilt,2*Nc*Nd/M);
+          tx_ = filter(b,1,[tx_ zeros(1,Nfilt/2)]);
+          tx_ = [tx_(Nfilt/2+1:end)];
+        end
+
+        rx = tx_;
+        
+        % multipath channel
+
+        if phase_est
+            % estimate phase of each symbol before multipath simulation
+
+            rx_phase1 = zeros(Nsym,Nc);
+            for s=1:Nsym
+              st = (s-1)*(M+Ncp)+1+timing; en = st+M-1;
+              for c=1:Nc*Nd
+                rx_phase1(s,c) = sum(exp(-j*(0:M-1)*w(c)) .* rx(st:en))/M;
+              end
+            end
+        end
+        
+        if strcmp(channel,'multipath')
+          rx = spread1(1:Nsam).*rx + spread2(1:Nsam).*[zeros(1,path_delay) rx(1:end-path_delay)];
+        end
+        
+        % normalise power after multipath, so that Eb/No is set up
+        % correctly
+        
+        if norm_ebno == 0
+          norm = sqrt(mean(abs(tx_).^2)/mean(abs(rx).^2));
+        else
+          % normalise after clipper, this makes norm_pwr constant for all test
+          % conditions
+          norm = sqrt(mean(abs(tx).^2)/mean(abs(rx).^2));
+        end
+        rx *= norm;
+        norm_pwr = 10*log10(mean(abs(rx).^2));
+        
+        if phase_est
+            % auxiliary rx to get ideal phase ests on signal after multipath but before AWGN noise is added
+
+            rx_phase = zeros(Nsym,Nc);
+            for s=1:Nsym
+              st = (s-1)*(M+Ncp)+1+timing; en = st+M-1;
+              for c=1:Nc*Nd
+                arx_sym = sum(exp(-j*(0:M-1)*w(c)) .* rx(st:en))/M;
+                rx_phase(s,c) = arx_sym * conj(rx_phase1(s,c));
+              end
+            end
+            rx_phase = exp(j*arg(rx_phase));
+        end
+
+        % AWGN channel
+
+        EsNodB = EbNodB(e) + 10*log10(bps);
+        variance = M/(10^(EsNodB/10));
+        noise = sqrt(variance/2)*randn(1,Nsam) + j*sqrt(variance/2)*randn(1,Nsam);
+        rx += noise;
+
+        % demodulate
+        rx_sym = zeros(Nsym,Nc);
+        for s=1:Nsym
+          st = (s-1)*(M+Ncp)+1+timing; en = st+M-1;
+          for c=1:Nc*Nd
+            rx_sym(s,c) = sum(exp(-j*(0:M-1)*w(c)) .* rx(st:en))/M;
+            if phase_est rx_sym(s,c) *= conj(rx_phase(s,c)); end
+          end
+          
+          if strcmp(method,"diversity")
+            for c=1:Nc
+              rx_sym(s,c) += rx_sym(s,c+Nc)*exp(j*pi/2);
+            end
+          end          
+        end
+        
+        % count bit errors
+
+        Tbits = Terrs = 0; ErrPerSym = zeros(1,Nsym);
+        for s=1:Nsym
+          Nerrs = 0;
+          for c=1:Nc
+            tx_bits = qpsk_demod(tx_sym(s,c));
+            rx_bits = qpsk_demod(rx_sym(s,c));
+            Tbits += bps;
+            Nerrs += sum(xor(tx_bits,rx_bits));
+          end
+          ErrPerSym(s) = Nerrs;
+          Terrs += Nerrs;
+        end
+
+        if plot_en
+          figure(1); clf;
+          plot(abs(tx(1:5*M))); hold on; plot(abs(tx_(1:5*M))); hold off;
+          axis([0 5*M 0 max(abs(tx))]);
+          figure(2); clf; [hh nn] = hist(abs(tx),25,1);
+          plotyy(nn,hh,1:Nc,cdf); title('PDF and CDF'); grid;
+          figure(3); clf; plot(real(rx_sym(:,1:Nc)), imag(rx_sym(:,1:Nc)), '+'); axis([-2 2 -2 2]);
+          figure(4); clf; Tx_ = 10*log10(abs(fft(tx_))); plot(fftshift(Tx_));
+          mx = 10*ceil(max(Tx_)/10); axis([1 length(Tx_) mx-60 mx]);
+          figure(5); plot_specgram(real(rx.*exp(j*2*pi*(0:Nsam-1)/4)));
+          figure(6); clf; stem(ErrPerSym);          
+        end
+
+        papr1 = calc_papr(tx);
+        papr2 = calc_papr(tx_);
+        papr_log = [papr_log papr2];
+        ber(e) = Terrs/Tbits;
+        printf("EbNodB: %4.1f %3.1f %4.1f PAPR: %5.2f %5.2f Tbits: %6d Terrs: %6d BER: %5.3f\n",
+               EbNodB(e), norm, norm_pwr, papr1, papr2, Tbits, Terrs, ber(e))
+    end
+
+    papr = mean(papr_log);
+end
+
+% BER versus Eb/No curves -------------------------------------
+
+% first pass at trying out a few different schemes
+function curves_experiment1(Nc=8, channel='awgn', Nsym=1000, EbNodB=2:8)
+
+    [ber1 papr1] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1);
+    [ber2 papr2] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "clip", threshold=0.8);
+    [ber3 papr3] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "clip", threshold=0.6);
+    [ber4 papr4] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "compand", threshold=0.6);
+    [ber5 papr5] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "diversity", threshold=0.6);
+
+    figure(7); clf;
+    semilogy(EbNodB, ber1,sprintf('b+-;vanilla OFDM %3.1f;',papr1),'markersize', 10, 'linewidth', 2); hold on;
+    semilogy(EbNodB, ber2,sprintf('r+-;clip 0.8 %3.1f;',papr2),'markersize', 10, 'linewidth', 2); 
+    semilogy(EbNodB, ber3,sprintf('g+-;clip 0.6 %3.1f;',papr3),'markersize', 10, 'linewidth', 2);
+    semilogy(EbNodB, ber4,sprintf('c+-;compand 0.6 %3.1f;',papr4),'markersize', 10, 'linewidth', 2);
+    semilogy(EbNodB, ber5,sprintf('bk+-;diversity 0.6 %3.1f;',papr5),'markersize', 10, 'linewidth', 2);
+    hold off;
+    axis([min(EbNodB) max(EbNodB) 1E-3 1E-1]); grid;
+    xlabel('Eb/No'); title(sprintf("%s Nc = %d", channel, Nc))
+    fn = sprintf("papr_exp1_%s_BER_EbNo.png", channel);
+    print(fn,"-dpng");
+
+    figure(8); clf;
+    semilogy(EbNodB+papr1, ber1,sprintf('b+-;vanilla OFDM %3.1f;',papr1),'markersize', 10, 'linewidth', 2); hold on;
+    semilogy(EbNodB+papr2, ber2,sprintf('r+-;clip 0.8 %3.1f;',papr2),'markersize', 10, 'linewidth', 2); 
+    semilogy(EbNodB+papr3, ber3,sprintf('g+-;clip 0.6 %3.1f;',papr3),'markersize', 10, 'linewidth', 2);
+    semilogy(EbNodB+papr4, ber4,sprintf('c+-;compand 0.6 %3.1f;',papr4),'markersize', 10, 'linewidth', 2);
+    semilogy(EbNodB+papr5, ber5,sprintf('bk+-;diversity 0.6 %3.1f;',papr5),'markersize', 10, 'linewidth', 2);
+    hold off;
+    xlabel('Peak Eb/No');
+    axis([min(EbNodB)+papr2 max(EbNodB)+papr1 1E-3 1E-1]); grid; title(sprintf("%s Nc = %d", channel, Nc))
+    fn = sprintf("papr_exp1_%s_BER_peakEbNo.png", channel);
+    print(fn,"-dpng");
+end
+
+
+% vary threshold and plot BER v Eb/No curves
+function curves_experiment2(Nc=8, channel='awgn', Nsym=1000, EbNodB=2:16)
+
+    [ber1 papr1] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1);
+    [ber2 papr2] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "clip", threshold=0.8);
+    [ber3 papr3] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "clip", threshold=0.6);
+    [ber4 papr4] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "clip", threshold=0.4);
+    [ber5 papr5] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "clip", threshold=0.2);
+    [ber6 papr6] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "diversity", threshold=0.8);
+
+    figure(7); clf;
+    semilogy(EbNodB, ber1,sprintf('b+-;vanilla OFDM %3.1f;',papr1),'markersize', 10, 'linewidth', 2); hold on;
+    semilogy(EbNodB, ber2,sprintf('r+-;clip 0.8 %3.1f;',papr2),'markersize', 10, 'linewidth', 2); 
+    semilogy(EbNodB, ber3,sprintf('g+-;clip 0.6 %3.1f;',papr3),'markersize', 10, 'linewidth', 2);
+    semilogy(EbNodB, ber4,sprintf('c+-;clip 0.4 %3.1f;',papr4),'markersize', 10, 'linewidth', 2);
+    semilogy(EbNodB, ber5,sprintf('bk+-;clip 0.2 %3.1f;',papr5),'markersize', 10, 'linewidth', 2);
+    semilogy(EbNodB, ber6,sprintf('m+-;diversity 0.8 %3.1f;', papr6),'markersize', 10, 'linewidth', 2);
+    hold off;
+    axis([min(EbNodB) max(EbNodB) 1E-3 1E-1]); grid;
+    xlabel('Eb/No'); title(sprintf("%s Nc = %d", channel, Nc))
+    fn = sprintf("papr_exp2_Nc%d_%s_BER_EbNo.png", Nc, channel);
+    print(fn,"-dpng");
+
+    figure(8); clf;
+    semilogy(EbNodB+papr1, ber1,sprintf('b+-;vanilla OFDM %3.1f;',papr1),'markersize', 10, 'linewidth', 2); hold on;
+    semilogy(EbNodB+papr2, ber2,sprintf('r+-;clip 0.8 %3.1f;',papr2),'markersize', 10, 'linewidth', 2); 
+    semilogy(EbNodB+papr3, ber3,sprintf('g+-;clip 0.6 %3.1f;',papr3),'markersize', 10, 'linewidth', 2);
+    semilogy(EbNodB+papr4, ber4,sprintf('c+-;clip 0.4 %3.1f;',papr4),'markersize', 10, 'linewidth', 2);
+    semilogy(EbNodB+papr5, ber5,sprintf('bk+-;clip 0.2 %3.1f;',papr5),'markersize', 10, 'linewidth', 2);
+    semilogy(EbNodB+papr6, ber6,sprintf('m+-;diversity 0.8 %3.1f;', papr6),'markersize', 10, 'linewidth', 2);
+    hold off;
+    xlabel('Peak Eb/No');
+    axis([min(EbNodB)+papr2 max(EbNodB)+papr1 1E-3 1E-1]); grid; title(sprintf("%s Nc = %d", channel, Nc))
+    fn = sprintf("papr_exp2_Nc%d_%s_BER_peakEbNo.png", Nc, channel);
+    print(fn,"-dpng");
+end
+
+% PAPR against number of carriers Nc
+function curves_experiment3(Nsym=3000)
+
+    paper = zeros(1,32);
+    Nc = 2:2:32;
+    for i = 1:length(Nc)
+      aNc = Nc(i);
+      [aber apapr] = run_sim(aNc, Nsym, 100);
+      papr(aNc) = apapr;
+    end  
+
+    figure(9); clf;
+    plot(Nc, papr(Nc)); xlabel('Number of Carriers Nc'); ylabel('PAPR (dB)'); grid;
+    fn = sprintf("papr_exp3_Nc.png");
+    print(fn,"-dpng");
+end
+
+% focus on diversity - vary threshold and plot BER v Eb/No curves
+function curves_experiment4(Nc=8, channel='multipath', Nsym=3000, EbNodB=2:2:16)
+
+    [ber1 papr1] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1);
+    [ber2 papr2] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "diversity", threshold=1);
+    [ber3 papr3] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "diversity", threshold=0.8);
+    [ber4 papr4] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "diversity", threshold=0.6);
+
+    figure(7); clf;
+    semilogy(EbNodB, ber1,sprintf('b+-;vanilla OFDM %3.1f;',papr1),'markersize', 10, 'linewidth', 2); hold on;
+    semilogy(EbNodB, ber2,sprintf('r+-;diversity 1.0 %3.1f;',papr2),'markersize', 10, 'linewidth', 2); 
+    semilogy(EbNodB, ber3,sprintf('g+-;diversity 0.8 %3.1f;',papr3),'markersize', 10, 'linewidth', 2);
+    semilogy(EbNodB, ber4,sprintf('c+-;diversity 0.6 %3.1f;',papr4),'markersize', 10, 'linewidth', 2);
+    hold off;
+    axis([min(EbNodB) max(EbNodB) 1E-3 1E-1]); grid;
+    xlabel('Eb/No'); title(sprintf("%s Nc = %d", channel, Nc))
+    fn = sprintf("papr_exp4_Nc%d_%s_BER_EbNo.png", Nc, channel);
+    print(fn,"-dpng");
+
+    figure(8); clf;
+    semilogy(EbNodB+papr1, ber1,sprintf('b+-;vanilla OFDM %3.1f;',papr1),'markersize', 10, 'linewidth', 2); hold on;
+    semilogy(EbNodB+papr2, ber2,sprintf('r+-;diversity 1.0 %3.1f;',papr2),'markersize', 10, 'linewidth', 2); 
+    semilogy(EbNodB+papr3, ber3,sprintf('g+-;diversity 0.8 %3.1f;',papr3),'markersize', 10, 'linewidth', 2);
+    semilogy(EbNodB+papr4, ber4,sprintf('c+-;diversity 0.6 %3.1f;',papr4),'markersize', 10, 'linewidth', 2);
+    hold off;
+    xlabel('Peak Eb/No');
+    axis([min(EbNodB)+papr4 max(EbNodB)+papr1 1E-3 1E-1]); grid; title(sprintf("%s Nc = %d", channel, Nc))
+    fn = sprintf("papr_exp4_Nc%d_%s_BER_peakEbNo.png", Nc, channel);
+    print(fn,"-dpng");
+end
+
+% plot BER v Eb/No curves for clipping with normalised Eb/No after clipping
+function curves_experiment5(Nc=8, channel='awgn', Nsym=1000, EbNodB=2:10)
+
+    [ber1 papr1] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "", threshold=1, norm=1);
+    [ber2 papr2] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "clip", threshold=0.8, norm=1);
+    [ber3 papr3] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "clip", threshold=0.6, norm=1);
+    [ber4 papr4] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "clip", threshold=0.4, norm=1);
+    [ber5 papr5] = run_sim(Nc, Nsym, EbNodB, channel, 0, filt_en=1, "clip", threshold=0.2, norm=1);
+
+    figure(7); clf;
+    semilogy(EbNodB, ber1,sprintf('b+-;vanilla OFDM %3.1f;',papr1),'markersize', 10, 'linewidth', 2); hold on;
+    semilogy(EbNodB, ber2,sprintf('r+-;clip 0.8 %3.1f;',papr2),'markersize', 10, 'linewidth', 2); 
+    semilogy(EbNodB, ber3,sprintf('g+-;clip 0.6 %3.1f;',papr3),'markersize', 10, 'linewidth', 2);
+    semilogy(EbNodB, ber4,sprintf('c+-;clip 0.4 %3.1f;',papr4),'markersize', 10, 'linewidth', 2);
+    semilogy(EbNodB, ber5,sprintf('bk+-;clip 0.2 %3.1f;',papr5),'markersize', 10, 'linewidth', 2);
+    hold off;
+    axis([min(EbNodB) max(EbNodB) 1E-3 1E-1]); grid;
+    xlabel('Eb/No'); title(sprintf("%s Nc = %d", channel, Nc))
+    fn = sprintf("papr_exp5_Nc%d_%s_BER_EbNo.png", Nc, channel);
+    print(fn,"-dpng");
+end
+
+pkg load statistics;
+more off;
+
+test_papr;
+
+% single point with lots of plots -----------
+
+%run_sim(8, 1000, EbNo=100, channel='awgn', plot_en=1, filt_en=1);
+%run_sim(8, 8, EbNo=100, channel='awgn', plot_en=1, filt_en=1, "diversity", threshold=0.8);
+%run_sim(8, 1000, EbNo=10, channel='multipath', plot_en=1, filt_en=0, "diversity", threshold=5);
+%curves_experiment2(Nc=16, 'awgn', Nsym=1000);
+curves_experiment2(Nc=16,'multipath', Nsym=3000, EbNodB=2:2:16);
+%curves_experiment3()
+%curves_experiment4()
+%curves_experiment5(Nc=16)
diff --git a/octave/phase_noise.m b/octave/phase_noise.m
new file mode 100644
index 0000000..37e933c
--- /dev/null
+++ b/octave/phase_noise.m
@@ -0,0 +1,72 @@
+% phase_noise.m
+% David Nov 2019
+
+% Close-in look at phase noise.  Feed in a off-air sample file of a
+% sine wave, extracts the phase noise contour and returns the Doppler
+% spreading function that can be used to model the channel in
+% simulations
+
+function spread_FsHz = phase_noise(file_name)
+  Fs = 8000;
+  s = load_raw(file_name);
+  % skip past wave header
+  s = [zeros(256,1); s(256:end)];
+  S = abs(fft(s(1:Fs).*hanning(Fs)));
+  [mx mx_bin] = max(S);
+  ftone = mx_bin-1;
+  
+  figure(1); clf;
+  plot(20*log10(S(1:Fs/2)))
+  title('Input Spectrum');
+  
+  % downshift to baseband and LPF.  We just want the sinusoid with as little
+  % additive AWGN noise as possible
+  sbb = s' .* exp(-j*(1:length(s))*2*pi*ftone/Fs);
+  [b a] = cheby1(4, 1, 20/Fs);
+  sbb_lpf = filter(b,a,sbb);
+
+  spread_fsHz = sbb_lpf;
+  
+  % estimate and remove fine freq offset, and HF phase noise
+  
+  st = Fs; en = 20*Fs;
+  phase = unwrap(angle(sbb_lpf(st:en)));
+  fine_freq = mean(phase(2:end) - phase(1:end-1));
+  sbb_lpf_fine = sbb_lpf .* exp(-j*(1:length(sbb_lpf))*fine_freq);
+  phase = unwrap(angle(sbb_lpf_fine(st:en)));
+
+  printf("length: %3.2fs freq: %5.1f\n", length(s)/Fs, ftone+fine_freq*Fs/(2*pi));
+
+  figure(2); clf;
+  plot3((st:en)/Fs, real(sbb_lpf_fine(st:en)),imag(sbb_lpf_fine(st:en)))
+  title('Polar phase trajectory');
+
+  figure(3); clf;
+  S2 = fftshift(fft(sbb_lpf_fine(Fs:Fs*11)));
+  [mx mx_bin] = max(abs(S2));
+  S2dB = 20*log10(abs(S2));
+  mxdB = 10*ceil(max(S2dB)/10);
+  x = -10:0.1:10;
+  plot(x,S2dB(mx_bin-100:mx_bin+100));
+  axis([-10 10 mxdB-40 mxdB])
+  title('Close in Phase Noise Spectrum');
+  xlabel('Freq (Hz)');
+  grid;
+  
+  figure(5); clf;
+  t = (st:en)/Fs;
+  plot(t, phase,'b;phase;');
+  title('Unwrapped Phase');
+  xlabel('Time (sec)')
+  ylabel('Phase (radians)')
+  
+  figure(6); clf;
+  beta = 0.00001;
+  rate_of_change_Hz = filter(beta, [1 -(1-beta)],phase(2:end) - phase(1:end-1))*Fs/pi;
+  plot(t(2:end), rate_of_change_Hz)
+  title('Rate of change of phase (Hz)');
+  xlabel('Time (sec)')
+  ylabel('Freq (Hz)')
+
+  spread_FsHz = sbb_lpf_fine/std(sbb_lpf_fine);
+end
diff --git a/octave/pitch_test.m b/octave/pitch_test.m
new file mode 100644
index 0000000..3fe0d1a
--- /dev/null
+++ b/octave/pitch_test.m
@@ -0,0 +1,39 @@
+% pitch_test.m
+% David Rowe Sep 2009
+% Constructs a sequence to test the pitch estimator
+
+function pitch_test(samname)
+  M=320;
+  F=200;
+
+  fs=fopen(samname,"wb");
+
+  f0 = 100;
+  for f=1:200
+    Wo=2*pi*f0/8000;
+    P=2*pi/Wo;
+    L = floor(pi/Wo);
+    A = 10000/L;
+    phi = zeros(1,L);
+    s = zeros(1,M);
+
+    for m=1:L
+      s = s + A*cos(m*Wo*(0:(M-1)) + phi(m));
+    endfor
+
+    figure(1);
+    clf;
+    plot(s);
+
+    fwrite(fs,s,"short");
+
+    f0 = f0 + 5;
+    if (f0 > 400)
+      f0 = 100;    
+    endif
+  endfor
+
+  fclose(fs);
+
+endfunction
+
diff --git a/octave/pl.m b/octave/pl.m
new file mode 100644
index 0000000..0d54788
--- /dev/null
+++ b/octave/pl.m
@@ -0,0 +1,45 @@
+% Copyright David Rowe 2009
+% This program is distributed under the terms of the GNU General Public License 
+% Version 2
+%
+% Plots a raw speech sample file, you can optionally specify the start and end
+% samples and create a large and small PNGs
+
+function pl(samname1, start_sam, end_sam, pngname)
+  
+  fs=fopen(samname1,"rb");
+  s=fread(fs,Inf,"short");
+
+  st = 1;
+  en = length(s);
+  if (nargin >= 2)
+    st = start_sam;
+  endif
+  if (nargin >= 3)
+    en = end_sam;
+  endif
+
+  figure(1);
+  clf;
+  plot(s(st:en));
+  axis([1 en-st 1.1*min(s) 1.1*max(s)]);
+ 
+  if (nargin == 4)
+
+    % small image
+
+    __gnuplot_set__ terminal png size 420,300
+    ss = sprintf("__gnuplot_set__ output \"%s.png\"", pngname);
+    eval(ss)
+    replot;
+
+    % larger image
+
+    __gnuplot_set__ terminal png size 800,600
+    ss = sprintf("__gnuplot_set__ output \"%s_large.png\"", pngname);
+    eval(ss)
+    replot;
+
+  endif
+
+endfunction
diff --git a/octave/pl2.m b/octave/pl2.m
new file mode 100644
index 0000000..a25c6a2
--- /dev/null
+++ b/octave/pl2.m
@@ -0,0 +1,44 @@
+% Copyright David Rowe 2009
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+
+function pl2(samname1, samname2, start_sam, end_sam, offset)
+
+  fs1=fopen(samname1,"rb");
+  s1=fread(fs1,Inf,"short");
+  fs2=fopen(samname2,"rb");
+  s2=fread(fs2,Inf,"short");
+
+  st1 = st2 = 1;
+  en1 = en2 = length(s1);
+  if (nargin >= 3)
+    st1 = st2 = start_sam;
+  endif
+  if (nargin >= 4)
+    en1 = en2 = end_sam;
+  endif
+
+  if (nargin == 5)
+    st2 += offset
+    en2 += offset
+  endif
+
+  figure(1);
+  clf;
+  subplot(211);
+  l1 = strcat("r;",samname1,";");
+  plot(s1(st1:en1), l1); grid minor;
+  axis([1 en1-st1 min(s1(st1:en1)) max(s1(st1:en1))]);
+  subplot(212);
+  l2 = strcat("r;",samname2,";");
+  plot(s2(st2:en2),l2); grid minor;
+  axis([1 en2-st2 min(s1(st2:en2)) max(s1(st2:en2))]);
+
+  figure(2)
+  plot(s1(st1:en1)-s2(st2:en2)); grid minor;
+
+  f=fopen("diff.raw","wb");
+  d = s1(st1:en1)-s2(st2:en2);
+  fwrite(f,d,"short");
+
+endfunction
diff --git a/octave/pl_scatter.m b/octave/pl_scatter.m
new file mode 100644
index 0000000..bc283a3
--- /dev/null
+++ b/octave/pl_scatter.m
@@ -0,0 +1,13 @@
+% pl_scatter.m
+% Render scatter plot from freedv_data_raw_rx --scatter
+
+function pl_scatter(filename)
+    s=load(filename);
+    figure(1); clf;
+    for b=1:length(fieldnames(s))
+        field_name = fieldnames(s){b};
+        x = s.(field_name);
+        plot(x,'+');
+    end
+    print("scatter.png", "-dpng");
+endfunction
diff --git a/octave/plamp.m b/octave/plamp.m
new file mode 100644
index 0000000..1d575b8
--- /dev/null
+++ b/octave/plamp.m
@@ -0,0 +1,135 @@
+% Copyright David Rowe 2009
+% This program is distributed under the terms of the GNU General Public License
+% Version 2
+%
+% Plot ampltiude modelling information from dump files.
+
+function plamp(samname, f, samname2)
+
+  % switch some stuff off to unclutter display
+
+  plot_sw = 0;
+
+  sn_name = strcat(samname,"_sn.txt");
+  Sn = load(sn_name);
+
+  sw_name = strcat(samname,"_sw.txt");
+  Sw = load(sw_name);
+
+  sw__name = strcat(samname,"_sw_.txt");
+  if (file_in_path(".",sw__name))
+    Sw_ = load(sw__name);
+  endif
+
+  ew_name = strcat(samname,"_ew.txt");
+  if (file_in_path(".",ew_name))
+    Ew = load(ew_name);
+  endif
+
+  rk_name = strcat(samname,"_rk.txt");
+  if (file_in_path(".",rk_name))
+    Rk = load(rk_name);
+  endif
+
+  model_name = strcat(samname,"_model.txt");
+  model = load(model_name);
+
+  modelq_name = strcat(samname,"_qmodel.txt");
+  if (file_in_path(".",modelq_name))
+    modelq = load(modelq_name);
+  endif
+
+  pw_name = strcat(samname,"_pw.txt");
+  if (file_in_path(".",pw_name))
+    Pw = load(pw_name);
+  endif
+
+  lsp_name = strcat(samname,"_lsp.txt");
+  if (file_in_path(".",lsp_name))
+    lsp = load(lsp_name);
+  endif
+
+  phase_name = strcat(samname,"_phase.txt");
+  if (file_in_path(".",phase_name))
+    phase = load(phase_name);
+  endif
+
+  phase_name_ = strcat(samname,"_phase_.txt");
+  if (file_in_path(".",phase_name_))
+    phase_ = load(phase_name_);
+  endif
+
+  snr_name = strcat(samname,"_snr.txt");
+  if (file_in_path(".",snr_name))
+    snr = load(snr_name);
+  endif
+
+  % optional second file, for exploring post filter
+
+  if nargin == 3
+    model2_name = strcat(samname2,"_model.txt");
+    model2 = load(model2_name);
+    sn2_name = strcat(samname2,"_sn.txt");
+    Sn2 = load(sn2_name);
+
+    sw_name2 = strcat(samname2,"_sw.txt");
+    Sw2 = load(sw_name2);
+  end
+
+  k = ' ';
+  do
+    figure(1);
+    clf;
+    s = [ Sn(2*f-1,:) Sn(2*f,:) ];
+    plot(s,'b');
+    if (nargin == 3)
+      s2 = [ Sn2(2*f-1,:) Sn2(2*f,:) ];
+      hold on; plot(s2,'r'); hold off;
+    end
+    axis([1 length(s) -30000 30000]);
+
+    figure(2);
+    Wo = model(f,1);
+    L = model(f,2);
+    Am = model(f,3:(L+2));
+    plot((1:L)*Wo*4000/pi, 20*log10(Am),";Am;+-b");
+    axis([1 4000 -10 80]);
+    hold on;
+    if plot_sw; plot((0:255)*4000/256, Sw(f,:),";Sw;b"); end
+
+    if (nargin == 3)
+      Wo2 = model2(f,1);
+      L2 = model2(f,2);
+      Am2 = model2(f,3:(L2+2));
+      plot((1:L2)*Wo2*4000/pi, 20*log10(Am2),";Am2;+-r" );
+      if plot_sw; plot((0:255)*4000/256, Sw2(f,:),";Sw2;r"); end
+    endif
+
+    hold off; grid minor;
+
+    % interactive menu
+
+    printf("\rframe: %d  menu: n-next  b-back  p-png  s-plot_sw q-quit", f);
+    fflush(stdout);
+    k = kbhit();
+    if k == 'n'; f = f + 1; endif
+    if k == 'b'; f = f - 1; endif
+    if k == 's'
+        if plot_sw; plot_sw = 0; else; plot_sw = 1; end
+    endif
+    % optional print to PNG
+
+    if (k == 'p')
+      figure(1);
+      pngname = sprintf("%s_%d_sn.png",samname,f);
+      print(pngname, '-dpng', "-S800,600")
+
+      figure(2);
+      pngname = sprintf("%s_%d_sw.png",samname,f);
+      print(pngname, '-dpng', "-S800,600")
+     endif
+
+  until (k == 'q')
+  printf("\n");
+
+endfunction
diff --git a/octave/plinterp.m b/octave/plinterp.m
new file mode 100644
index 0000000..794a085
--- /dev/null
+++ b/octave/plinterp.m
@@ -0,0 +1,11 @@
+load ../unittest/tinterp_prev.txt;
+load ../unittest/tinterp_interp.txt;
+load ../unittest/tinterp_next.txt;
+
+clf;
+plot(tinterp_prev(:,1), 20.0*log10(tinterp_prev(:,2)),";prev;")
+hold on;
+plot(tinterp_interp(:,1), 20.0*log10(tinterp_interp(:,2)),'g+-;interp;')
+plot(tinterp_next(:,1), 20.0*log10(tinterp_next(:,2)),'ro-;next;')
+hold off;
+axis([0 pi 0 80])
diff --git a/octave/pllpcpf.m b/octave/pllpcpf.m
new file mode 100644
index 0000000..924e045
--- /dev/null
+++ b/octave/pllpcpf.m
@@ -0,0 +1,150 @@
+% Copyright David Rowe 2012
+% This program is distributed under the terms of the GNU General Public License 
+% Version 2
+%
+% Plot amplitude modelling information from dump files to test and develop
+% LPC post filter.
+
+function pllpcpf(samname, f)
+  
+  % switch some stuff off to unclutter display
+
+  plot_Am = 0;
+  plot_Amq = 0;
+  plot_err = 0;
+  plot_lsp = 0;
+  plot_snr = 0;
+  plot_vsnr = 0;
+  plot_sw = 0;
+  plot_pw = 1;
+  plot_pwb = 1;
+  plot_rw = 1;
+
+  sn_name = strcat(samname,"_sn.txt");
+  Sn = load(sn_name);
+
+  sw_name = strcat(samname,"_sw.txt");
+  Sw = load(sw_name);
+
+  sw__name = strcat(samname,"_sw_.txt");
+  if (file_in_path(".",sw__name))
+    Sw_ = load(sw__name);
+  endif
+
+  model_name = strcat(samname,"_model.txt");
+  model = load(model_name);
+
+  modelq_name = strcat(samname,"_qmodel.txt");
+  if (file_in_path(".",modelq_name))
+    modelq = load(modelq_name);
+  endif
+
+  % Pw (LPC synth filter spectrum) before post filter
+
+  pwb_name = strcat(samname,"_pwb.txt");
+  if (file_in_path(".",pwb_name))
+    Pwb = load(pwb_name);
+  endif
+
+  % Rw (Post filter spectrum)
+
+  rw_name = strcat(samname,"_rw.txt");
+  if (file_in_path(".",rw_name))
+    Rw = load(rw_name);
+  endif
+
+  % Pw (LPC synth filter spectrum) after post filter
+
+  pw_name = strcat(samname,"_pw.txt");
+  if (file_in_path(".",pw_name))
+    Pw = load(pw_name);
+  endif
+
+
+  Ew_on = 1;
+  k = ' ';
+  do 
+    figure(1);
+    clf;
+    s = [ Sn(2*f-1,:) Sn(2*f,:) ];
+    size(s);
+    plot(s);
+    axis([1 length(s) -20000 20000]);
+
+    figure(2);
+    clf;
+    Wo = model(f,1);
+    L = model(f,2);
+    Am = model(f,3:(L+2));
+    if plot_Am
+      plot((1:L)*Wo*4000/pi, 20*log10(Am),";Am;r");
+    end
+    axis([1 4000 -10 80]);
+    hold on;
+    if plot_sw
+      plot((0:255)*4000/256, Sw(f,:),";Sw;");
+    end
+ 
+    if (file_in_path(".",modelq_name))
+
+      Amq = modelq(f,3:(L+2));
+      if plot_Amq
+        plot((1:L)*Wo*4000/pi, 20*log10(Amq),";Amq;g" );
+      end
+
+      if (file_in_path(".",pwb_name) && plot_pwb)
+        plot((0:255)*4000/256, 10*log10(Pwb(f,:)),";Pwb;r");
+      endif	
+
+      if (file_in_path(".",rw_name) && plot_rw)
+        plot((0:255)*4000/256, 10*log10(Rw(f,:)),";Rw;b");
+      endif	
+
+      if (file_in_path(".",pw_name) && plot_pw)
+        plot((0:255)*4000/256, 10*log10(Pw(f,:)),";Pw;g.");
+      endif	
+
+      signal = Am * Am';
+      noise = (Am-Amq) * (Am-Amq)'; 
+      snr1 = 10*log10(signal/noise);
+      Am_err_label = sprintf(";Am error SNR %4.2f dB;m",snr1);
+      if plot_err
+        plot((1:L)*Wo*4000/pi, 20*log10(Amq) - 20*log10(Am), Am_err_label);
+      end
+    endif
+
+
+    hold off;
+
+    % interactive menu
+
+    printf("\rframe: %d  menu: n-next  b-back  p-png  q-quit", f);
+    fflush(stdout);
+    k = kbhit();
+    if (k == 'n')
+      f = f + 1;
+    endif
+    if (k == 'b')
+      f = f - 1;
+    endif
+
+    % optional print to PNG
+
+    if (k == 'p')
+      figure(1);
+      pngname = sprintf("%s_%d_sn.png",samname,f);
+      print(pngname, '-dpng', "-S500,500")
+      pngname = sprintf("%s_%d_sn_large.png",samname,f);
+      print(pngname, '-dpng', "-S800,600")
+
+      figure(2);
+      pngname = sprintf("%s_%d_sw.png",samname,f);
+      print(pngname, '-dpng', "-S500,500")
+      pngname = sprintf("%s_%d_sw_large.png",samname,f);
+      print(pngname, '-dpng', "-S1200,800")
+    endif
+
+  until (k == 'q')
+  printf("\n");
+
+endfunction
diff --git a/octave/pllsp.m b/octave/pllsp.m
new file mode 100644
index 0000000..0606d3c
--- /dev/null
+++ b/octave/pllsp.m
@@ -0,0 +1,46 @@
+% Copyright David Rowe 2010
+% This program is distributed under the terms of the GNU General Public License 
+% Version 2
+%
+% Plots a bunch of information related to LSP quantisation:
+%   - speech file 
+%   - LSPs before and after quantisation
+%   - SNR for each frame
+%
+% Note: there is a 160 sample (two frame delay) from the when a sample
+% enters the input buffer until it is at the centre of the analysis window
+
+function pllsp(rawfile, 
+	       dumpfile_prefix_lpc_only, 
+               dumpfile_prefix_lsp, 
+               start_f, end_f)
+  
+  fs=fopen(rawfile,"rb");
+  s=fread(fs,Inf,"short");
+
+  lpc_snr_name = strcat(dumpfile_prefix_lpc_only,"_lpc_snr.txt");
+  lpc10_snr = load(lpc_snr_name);
+  lpc_snr_name = strcat(dumpfile_prefix_lsp,"_lpc_snr.txt");
+  lsp_snr = load(lpc_snr_name);
+
+  lsp_name = strcat(dumpfile_prefix_lsp,"_lsp.txt");
+  lsps = load(lsp_name);
+  [m,n]=size(lsps);
+  lsp  = lsps(1:2:m,:);
+  lsp_ = lsps(2:2:m,:);
+
+  figure(1);
+  clf;
+  subplot(211);
+  sp = s((start_f-2)*80:(end_f-2)*80);
+  plot(sp);
+
+  subplot(212);
+  plot(lpc10_snr((start_f+1):end_f)-lsp_snr((start_f+1):end_f));
+
+  figure(2);
+  plot((4000/pi)*lsp((start_f+1):end_f,:));
+  hold on;
+  plot((4000/pi)*lsp_((start_f+1):end_f,:),'+-');
+  hold off;
+endfunction
diff --git a/octave/pllspdt.m b/octave/pllspdt.m
new file mode 100644
index 0000000..c711aa4
--- /dev/null
+++ b/octave/pllspdt.m
@@ -0,0 +1,27 @@
+% pllspdt.m
+% Copyright David Rowe 2010
+% This program is distributed under the terms of the GNU General Public License 
+% Version 2
+%
+% Test script to plot differences in LSps between frames
+
+function pllspdt(rawfile,dumpfile_prefix_lsp,lspn, start_f, end_f)
+  
+  fs=fopen(rawfile,"rb");
+  s=fread(fs,Inf,"short");
+
+  lsp_name = strcat(dumpfile_prefix_lsp,"_lsp.txt");
+  lsps = load(lsp_name);
+  [m,n]=size(lsps);
+  lsp  = lsps(1:2:m,:);
+  lsp_ = lsps(2:2:m,:);
+  lspdt = lsp(2:m/2,:) - lsp(1:m/2-1,:);
+
+  figure(1);
+  clf;
+  sp = s((start_f-2)*80:(end_f-2)*80);
+  plot(sp);
+
+  figure(2);
+  plot((4000/pi)*lspdt((start_f+1):end_f,lspn));
+endfunction
diff --git a/octave/plnlp.m b/octave/plnlp.m
new file mode 100644
index 0000000..01b4931
--- /dev/null
+++ b/octave/plnlp.m
@@ -0,0 +1,134 @@
+% Copyright David Rowe 2009
+% This program is distributed under the terms of the GNU General Public License 
+% Version 2
+%
+% Plot NLP states from dump files.
+
+function plnlp(samname, f)
+  
+  sn_name = strcat(samname,"_sn.txt");
+  Sn = load(sn_name);
+
+  sw_name = strcat(samname,"_sw.txt");
+  Sw = load(sw_name);
+
+  fw_name = strcat(samname,"_fw.txt");
+  if (file_in_path(".",fw_name))
+    fw = load(fw_name);
+  endif
+
+  e_name = strcat(samname,"_e.txt");
+  if (file_in_path(".",e_name))
+    e = load(e_name);
+  endif
+
+  p_name = strcat(samname,".p");
+  if (file_in_path(".",p_name))
+    p = load(p_name);
+  endif
+
+  sq_name = strcat(samname,"_sq.txt");
+  if (file_in_path(".",sq_name))
+    sq = load(sq_name);
+  endif
+
+  dec_name = strcat(samname,"_dec.txt");
+  if (file_in_path(".",dec_name))
+    dec = load(dec_name);
+  endif
+
+  do 
+    figure(1);
+    clf;
+    s = [ Sn(2*f-1,:) Sn(2*f,:) ];
+    plot(s, ";Sn;");
+    grid
+    axis([1 length(s) -20000 20000]);
+
+    figure(2);
+    plot((0:255)*4000/256, Sw(f,:),";Sw;");
+    grid
+    axis([1 4000 -10 80]);
+    hold on;
+
+    f0 = 8000/p(f);
+    Wo = 2*pi/p(f);
+    L = floor(pi/Wo);
+    f0_label = sprintf("b;P=%3.1f F0=%3.0f;",p(f),f0);
+    for m=1:L-1
+      plot([ m*Wo*4000/pi m*Wo*4000/pi], [10 60], 'b');
+    endfor
+    plot([ L*Wo*4000/pi L*Wo*4000/pi], [10 60], f0_label);
+
+    hold off;
+
+    if (file_in_path(".",fw_name))
+      figure(3);
+      if (file_in_path(".",e_name))
+         subplot(211);
+      endif
+      plot((0:255)*800/256, fw(f,:)/max(fw(f,:)), ";Fw;");
+      axis([1 400 0 1]);
+      if (file_in_path(".",e_name))
+        subplot(212);
+        e_concat = [ e(2*f-1,:) e(2*f,:) ];
+        plot(e_concat(1:400)/max(e_concat(1:400)), "+;MBE E(f);");
+        axis([1 400 0 1]);
+      endif
+    endif
+
+    if (file_in_path(".",sq_name))
+      figure(4);
+      sq_concat = [ sq(2*f-1,:) sq(2*f,:) ];
+      axis
+      plot(sq_concat, ";sq;");
+    endif
+
+    if (file_in_path(".",dec_name))
+      figure(5);
+      plot(dec(f,:), ";dec;");
+    endif
+    
+    figure(2);
+
+    % interactive menu
+
+    printf("\rframe: %d  menu: n-next  b-back  p-png  q-quit ", f);
+    fflush(stdout);
+    k = kbhit();
+    if (k == 'n')
+      f = f + 1;
+    endif
+    if (k == 'b')
+      f = f - 1;
+    endif
+
+    % optional print to PNG
+
+    if (k == 'p')
+    
+      pngname = sprintf("%s_%d",samname,f);
+
+      % small image
+
+      __gnuplot_set__ terminal png size 420,300
+      ss = sprintf("__gnuplot_set__ output \"%s.png\"", pngname);
+      eval(ss)
+      replot;
+
+      % larger image
+
+      __gnuplot_set__ terminal png size 800,600
+      ss = sprintf("__gnuplot_set__ output \"%s_large.png\"", pngname);
+      eval(ss)
+      replot;
+
+      % for some reason I need this to stop large plot getting wiped
+      __gnuplot_set__ output "/dev/null"
+
+    endif
+
+  until (k == 'q')
+  printf("\n");
+
+endfunction
diff --git a/octave/plot_fsk_demod_stats.py b/octave/plot_fsk_demod_stats.py
new file mode 100644
index 0000000..b2fbedc
--- /dev/null
+++ b/octave/plot_fsk_demod_stats.py
@@ -0,0 +1,95 @@
+#!/usr/bin/env python3
+#
+#   Plot fsk_demod statistic outputs.
+#
+#   Copyright (C) 2018  Mark Jessop <[email protected]>
+#   Released under GNU GPL v3 or later
+#
+import json
+import os
+import sys
+import time
+import subprocess
+import numpy as np
+import pandas as pd
+import matplotlib.pyplot as plt
+
+_filename = sys.argv[1]
+
+if len(sys.argv)>2:
+	_sps = int(sys.argv[2])
+	_x_label = "Seconds"
+else:
+	_sps = 1
+	_x_label = "Sample Number"
+
+_ebno = []
+_fest1 = []
+_fest2 = []
+_fest3 = []
+_fest4 = []
+_ppm = []
+_time = []
+
+
+_f = open(_filename,'r')
+
+for _line in _f:
+
+	if _line[0] != '{':
+		continue
+
+	try:
+		_data = json.loads(_line)
+	except Exception as e:
+		#print("Line parsing error: %s" % str(e))
+		continue
+
+	_ebno.append(_data['EbNodB'])
+	_fest1.append(_data['f1_est'])
+	_fest2.append(_data['f2_est'])
+
+	if 'f3_est' in _data:
+		_fest3.append(_data['f3_est'])
+		_fest4.append(_data['f4_est'])
+
+	_ppm.append(_data['ppm'])
+
+	if _time == []:
+		_time = [0]
+	else:
+		_time.append(_time[-1]+1.0/_sps)
+
+
+_ebno_max = pd.Series(_ebno).rolling(10).max().dropna().tolist()
+
+
+plt.figure()
+
+plt.plot(_time[:len(_ebno_max)],_ebno_max)
+plt.xlabel(_x_label)
+plt.ylabel("Eb/N0 (dB)")
+plt.title("Eb/N0")
+
+plt.figure()
+
+plt.plot(_time,_fest1, label="f1 est")
+plt.plot(_time,_fest2, label="f2 est")
+
+if len(_fest3) > 0:
+	plt.plot(_time,_fest3, label="f3 est")
+	plt.plot(_time,_fest4, label="f4 est")
+
+plt.legend()
+plt.xlabel(_x_label)
+plt.ylabel("Frequency (Hz)")
+plt.title("Frequency Estimator Outputs")
+
+
+plt.figure()
+plt.plot(_time,_ppm)
+plt.xlabel(_x_label)
+plt.ylabel("PPM")
+plt.title("Demod PPM Estimate")
+
+plt.show()
\ No newline at end of file
diff --git a/octave/plot_specgram.m b/octave/plot_specgram.m
new file mode 100644
index 0000000..7b9e3a6
--- /dev/null
+++ b/octave/plot_specgram.m
@@ -0,0 +1,22 @@
+% plot_specgram.m
+% David Rowe May 2017
+%
+% As the name suggests.....
+
+function S = plot_specgram(x, Fs=8000, fmin, fmax)
+  
+  step = fix(20*Fs/1000);     # one spectral slice every 5 ms
+  window = fix(160*Fs/1000);  # 40 ms data window
+  fftn = 2^nextpow2(window);  # next highest power of 2
+  [S, f, t] = specgram(x, fftn, Fs, window, window-step);
+  S = abs(S(2:fftn/2,:));     # magnitude in range 0<f<=Fs/2 Hz.
+  S = S/max(S(:));            # normalize magnitude so that max is 0 dB.
+  S = max(S, 10^(-20/10));    # clip below -20 dB.
+  S = min(S, 10^(-3/10));     # clip above -3 dB.
+  imagesc (t, f, log(S));     # display in log scale
+  set (gca, "ydir", "normal"); # put the 'y' direction in the correct direction
+  if nargin > 2
+    axis([0 max(t) fmin fmax])
+  end
+  xlabel('Time (s)'); ylabel('Freq (Hz)');
+endfunction
diff --git a/octave/plphase.m b/octave/plphase.m
new file mode 100644
index 0000000..c12422e
--- /dev/null
+++ b/octave/plphase.m
@@ -0,0 +1,198 @@
+% Copyright David Rowe 2009
+% This program is distributed under the terms of the GNU General Public License 
+% Version 2
+%
+% Plot phase modelling information from dump files.
+
+function plphase(samname, f)
+  
+  sn_name = strcat(samname,"_sn.txt");
+  Sn = load(sn_name);
+
+  sw_name = strcat(samname,"_sw.txt");
+  Sw = load(sw_name);
+
+  model_name = strcat(samname,"_model.txt");
+  model = load(model_name);
+
+  sw__name = strcat(samname,"_sw_.txt");
+  if (file_in_path(".",sw__name))
+    Sw_ = load(sw__name);
+  endif
+
+  pw_name = strcat(samname,"_pw.txt");
+  if (file_in_path(".",pw_name))
+    Pw = load(pw_name);
+  endif
+
+  ak_name = strcat(samname,"_ak.txt");
+  if (file_in_path(".",ak_name))
+    ak = load(ak_name);
+  endif
+
+  phase_name = strcat(samname,"_phase.txt");
+  if (file_in_path(".",phase_name))
+    phase = load(phase_name);
+  endif
+
+  phase_name_ = strcat(samname,"_phase_.txt");
+  if (file_in_path(".",phase_name_))
+    phase_ = load(phase_name_);
+  endif
+
+  snr_name = strcat(samname,"_snr.txt");
+  if (file_in_path(".",snr_name))
+    snr = load(snr_name);
+  endif
+
+  sn_name_ = strcat(samname,".raw");
+  if (file_in_path(".",sn_name_))
+    fs_ = fopen(sn_name_,"rb");
+    sn_  = fread(fs_,Inf,"short");
+  endif
+
+  k = ' ';
+  do 
+    figure(1);
+    clf;
+    s = [ Sn(2*f-1,:) Sn(2*f,:) ];
+    plot(s);
+    grid;
+    axis([1 length(s) -20000 20000]);
+    if (k == 'p')
+       pngname = sprintf("%s_%d_sn",samname,f);
+       png(pngname);
+    endif
+
+    figure(2);
+    Wo = model(f,1);
+    L = model(f,2);
+    Am = model(f,3:(L+2));
+    plot((1:L)*Wo*4000/pi, 20*log10(Am),"r;Am;");
+    axis([1 4000 -10 80]);
+    hold on;
+    plot((0:255)*4000/256, Sw(f,:),";Sw;");
+    grid;
+
+    if (file_in_path(".",sw__name))
+      plot((0:255)*4000/256, Sw_(f,:),"g;Sw_;");
+    endif	
+
+    if (file_in_path(".",pw_name))
+       plot((0:255)*4000/256, 10*log10(Pw(f,:)),";Pw;");
+    endif	
+
+    if (file_in_path(".",snr_name))
+      snr_label = sprintf(";phase SNR %4.2f dB;",snr(f));
+      plot(1,1,snr_label);
+    endif
+
+    % phase model - determine SNR and error spectrum for phase model 1
+
+    if (file_in_path(".",phase_name_))
+      orig  = Am.*exp(j*phase(f,1:L));
+      synth = Am.*exp(j*phase_(f,1:L));
+      signal = orig * orig';
+      noise = (orig-synth) * (orig-synth)';
+      snr_phase = 10*log10(signal/noise);
+
+      phase_err_label = sprintf("g;phase_err SNR %4.2f dB;",snr_phase);
+      plot((1:L)*Wo*4000/pi, 20*log10(orig-synth), phase_err_label);
+    endif
+
+    hold off;
+    if (k == 'p')
+       pngname = sprintf("%s_%d_sw",samname,f);
+       png(pngname);
+    endif
+
+    if (file_in_path(".",phase_name))
+      figure(3);
+      plot((1:L)*Wo*4000/pi, phase(f,1:L)*180/pi, "-o;phase;");
+      axis;
+      if (file_in_path(".", phase_name_))
+        hold on;
+        plot((1:L)*Wo*4000/pi, phase_(f,1:L)*180/pi, "g;phase after;");
+	grid
+	hold off;
+      endif
+      if (k == 'p')
+        pngname = sprintf("%s_%d_phase",samname,f);
+        png(pngname);
+      endif
+    endif
+
+    % synthesised speech 
+
+    if (file_in_path(".",sn_name_))
+      figure(4);
+      s_ = sn_((f-3)*80+1:(f+1)*80);
+      plot(s_);
+      axis([1 length(s_) -20000 20000]);
+      if (k == 'p')
+        pngname = sprintf("%s_%d_sn_",samname,f)
+        png(pngname);
+      endif
+    endif
+
+    if (file_in_path(".",ak_name))
+      figure(5);
+      axis;
+      akw = ak(f,:);
+      weight = 1.0 .^ (0:length(akw)-1);
+      akw = akw .* weight;
+      H = 1./fft(akw,8000);
+      subplot(211);
+      plot(20*log10(abs(H(1:4000))),";LPC mag spec;");
+      grid;	
+      subplot(212);
+      plot(angle(H(1:4000))*180/pi,";LPC phase spec;");
+      grid;
+      if (k == 'p')
+        % stops multimode errors from gnuplot, I know not why...
+        figure(2);
+        figure(5);
+
+        pngname = sprintf("%s_%d_lpc",samname,f);
+        png(pngname);
+      endif
+    endif
+
+
+    % autocorrelation function to research voicing est
+    
+    %M = length(s);
+    %sw = s .* hanning(M)';
+    %for k=0:159
+    %  R(k+1) = sw(1:320-k) * sw(1+k:320)';
+    %endfor
+    %figure(4);
+    %R_label = sprintf(";R(k) %3.2f;",max(R(20:159))/R(1));
+    %plot(R/R(1),R_label);
+    %grid
+
+    figure(2);
+
+    % interactive menu
+
+    printf("\rframe: %d  menu: n-next  b-back  p-png  q-quit ", f);
+    fflush(stdout);
+    k = kbhit();
+    if (k == 'n')
+      f = f + 1;
+    endif
+    if (k == 'b')
+      f = f - 1;
+    endif
+
+    % optional print to PNG
+
+    if (k == 'p')
+       pngname = sprintf("%s_%d",samname,f);
+       png(pngname);
+    endif
+
+  until (k == 'q')
+  printf("\n");
+
+endfunction
diff --git a/octave/plpitch.m b/octave/plpitch.m
new file mode 100644
index 0000000..69ad533
--- /dev/null
+++ b/octave/plpitch.m
@@ -0,0 +1,36 @@
+% Copyright David Rowe 2009
+% This program is distributed under the terms of the GNU General Public License 
+% Version 2
+%
+% plpitch.m
+% Plots two pitch tracks on top of each other, used for comparing pitch
+% estimators
+
+function plpitch(pitch1_name, pitch2_name, start_fr, end_fr)
+  
+  pitch1 = load(pitch1_name);
+  pitch2 = load(pitch2_name);
+
+  st = 1;
+  en = length(pitch1);
+  if (nargin >= 3)
+    st = start_fr;
+  endif
+  if (nargin >= 4)
+    en = end_fr;
+  endif
+
+  figure(1);
+  clf;
+  l1 = strcat("r;",pitch1_name,";")
+  l1 
+  st
+  en
+  plot(pitch1(st:en), l1);
+  axis([1 en-st 20 160]);
+  l2 = strcat("g;",pitch2_name,";");
+  hold on;
+  plot(pitch2(st:en),l2);
+  hold off;
+endfunction
+
diff --git a/octave/plvoicing.m b/octave/plvoicing.m
new file mode 100644
index 0000000..a531747
--- /dev/null
+++ b/octave/plvoicing.m
@@ -0,0 +1,89 @@
+% Copyright David Rowe 2009
+% This program is distributed under the terms of the GNU General Public License 
+% Version 2
+%
+% Plot voicing information from sample and dump files.
+%
+% samfilename is the raw source file, e.g. "../raw/hts1a.raw"
+% samname is the dumpfile prefix, e.g. "../src/hts1a"
+%
+% There is a 160 sample (two frame delay) from the when a sample
+% enters the input buffer until it is at the centre of the analysis window
+
+function plvoicing(samfilename, samname, start_f, end_f, pngname)
+  
+  fs=fopen(samfilename,"rb");
+  s=fread(fs,Inf,"short");
+
+  snr_name = strcat(samname,"_snr.txt");
+  snr = load(snr_name);
+  model_name = strcat(samname,"_model.txt");
+  model = load(model_name);
+
+  Wo  = model((start_f+1):end_f,1);
+  F0  = Wo*4000/pi;
+  dF0 = F0(1:length(Wo)-1) - F0(2:length(Wo));
+
+  % work out LP and HP energy
+
+  for f=(start_f+1):end_f
+    L = model(f,2);
+    Am = model(f,3:(L+2));
+    L2 = floor(L/2);
+    elow = Am(1:L2) * Am(1:L2)';
+    ehigh = Am(L2:L) * Am(L2:L)';
+    erat(f-(start_f+1)+1) = 10*log10(elow/ehigh);
+  endfor
+
+  figure(1);
+  clf;
+  sp = s((start_f-2)*80:(end_f-2)*80);
+  plot(sp);
+  hold on;
+  vhigh = snr((start_f+1):end_f) > 7;
+  vlow = snr((start_f+1):end_f) > 4;
+
+  % test correction based on erat
+
+  vlowadj = vlow;
+
+  for f=1:length(erat)-1
+    if (vlow(f) == 0)
+      if (erat(f) > 10)
+        vlowadj(f) = 1;
+      endif
+    endif
+    if (vlow(f) == 1)
+      if (erat(f) < -10)
+        vlowadj(f) = 0;
+      endif
+      if (abs(dF0(f)) > 15)
+        vlowadj(f) = 0;
+      endif
+    endif
+  endfor
+
+  x = 1:(end_f-start_f);
+  plot(x*80,snr((start_f+1):end_f)*1000,';SNRdB x 1000;g+');
+  plot(x*80,-8000 + vhigh*2000,';7dB thresh;g');
+  plot(x*80,-11000 + vlowadj*2000,';vlow with corr;g');
+  plot(x*80,erat*1000,';elow/ehigh in dB;r');
+  plot(x*80,-14000 + vlow*2000,';4dB thresh;r');
+  hold off; 
+  grid
+  if (nargin == 5)
+      print(pngname, "-dpng", "-S500,500")
+  endif
+    
+  figure(2)
+  Wo  = model((start_f+1):end_f,1);
+  F0  = Wo*4000/pi;
+  dF0 = F0(1:length(Wo)-1) - F0(2:length(Wo));
+  %plot(dF0,'+--')
+  %hold on;
+  %plot([ 1 length(dF0) ], [10 10] ,'r')
+  %plot([ 1 length(dF0) ], [-10 -10] ,'r')
+  %axis([1 length(dF0) -50 50])
+  %hold off;
+  plot(F0,'+--')
+endfunction
diff --git a/octave/png.m b/octave/png.m
new file mode 100644
index 0000000..09a7996
--- /dev/null
+++ b/octave/png.m
@@ -0,0 +1,25 @@
+% Copyright David Rowe 2009
+% This program is distributed under the terms of the GNU General Public License 
+% Version 2
+%
+% Replot current plot as a png, generates small and large versions
+
+function png(pngname)
+     % small image
+
+     __gnuplot_set__ terminal png size 420,300
+     ss = sprintf("__gnuplot_set__ output \"%s.png\"", pngname);
+     eval(ss)
+     replot;
+
+     % larger image
+
+     __gnuplot_set__ terminal png size 800,600
+     ss = sprintf("__gnuplot_set__ output \"%s_large.png\"", pngname);
+     eval(ss)
+     replot;
+
+     % for some reason I need this to stop large plot getting wiped
+     __gnuplot_set__ output "/dev/null"
+
+endfunction
diff --git a/octave/power_from_stdio.m b/octave/power_from_stdio.m
new file mode 100644
index 0000000..a4dbddc
--- /dev/null
+++ b/octave/power_from_stdio.m
@@ -0,0 +1,27 @@
+% power_from_gr.m
+% David Rowe June 2018
+%
+% Measure power of signal from stdio, used for SNR tests from analog radios
+
+#{
+  $ rec -t raw -r 8000 -s -2 -c 1 - -q | octave --no-gui -qf power_from_stdio.m
+#}
+
+graphics_toolkit ("gnuplot")
+
+Fs                = 48000; % sample rate in Hz
+shorts_per_sample = 1;    % real samples
+
+[s,c] = fread(stdin, shorts_per_sample*Fs, "short");
+
+while c
+  S = fft(s.*hanning(Fs));
+  SdB = 20*log10(abs(S));
+  figure(1); plot(real(s)); axis([0 Fs -3E4 3E4]);
+  figure(2); plot(SdB); axis([0 12000 40 160]);
+
+  printf("power: %f dB\n", 10*log10(var(s)));
+  %pause(2);
+  [s,c] = fread(stdin, shorts_per_sample*Fs, "short");
+endwhile
+
diff --git a/octave/pulse.m b/octave/pulse.m
new file mode 100644
index 0000000..223389e
--- /dev/null
+++ b/octave/pulse.m
@@ -0,0 +1,37 @@
+% pulse.m
+% David Rowe August 2009
+%
+% Experiments with human pulse perception for sinusoidal codecs
+
+function pulse(samname)
+
+  A = 1000;
+  K = 16000;
+  N = 80;
+  frames = K/N;
+  s = zeros(1,K);
+
+  for f=1:frames
+    % lets try placing np random pulses in every frame
+
+    P = 20 + (160-20)*rand(1,1);
+    Wo = 2*pi/P;
+    L = floor(pi/Wo);
+    sf = zeros(1,N);
+    for m=1:L/2:L
+      pos = floor(rand(1,1)*N)+1;
+      %pos = 50;
+      for l=m:m+L/2-1
+        sf = sf + A*cos(l*Wo*((f-1)*N+1:f*N) - pos*l*Wo);
+      endfor
+    endfor
+    s((f-1)*N+1:f*N) = sf;
+  endfor
+
+  plot(s(1:250));
+
+  fs=fopen(samname,"wb");
+  fwrite(fs,s,"short");
+  fclose(fs);
+endfunction
+
diff --git a/octave/qam16.m b/octave/qam16.m
new file mode 100644
index 0000000..5b0f047
--- /dev/null
+++ b/octave/qam16.m
@@ -0,0 +1,35 @@
+% qam16.m
+% David Rowe May 2020
+%
+% Octave QAM16 functions
+
+1;
+
+function symbol = qam16_mod(constellation, four_bits)
+    bits_decimal = sum(four_bits .* [8 4 2 1]);
+    symbol = constellation(bits_decimal+1);
+endfunction
+
+function four_bits = qam16_demod(constellation, symbol, amp_est=1)
+    assert (amp_est != 0);
+    symbol /= amp_est;
+    dist = abs(symbol - constellation(1:16));
+    [tmp decimal] = min(dist);
+    four_bits = zeros(1,4);
+    for i=1:4
+      four_bits(1,5-i) = bitand(bitshift(decimal-1,1-i),1);
+    end
+endfunction
+
+function test_qam16_mod_demod(constellation)
+    for decimal=0:15
+      tx_bits = zeros(1,4);
+      for i=1:4
+        tx_bits(1,5-i) = bitand(bitshift(decimal-1,1-i),1);
+      end
+      symbol = qam16_mod(constellation, tx_bits);
+      rx_bits = qam16_demod(constellation,symbol);
+      assert(tx_bits == rx_bits);
+    end
+endfunction
+
diff --git a/octave/qam16_test.m b/octave/qam16_test.m
new file mode 100644
index 0000000..c613214
--- /dev/null
+++ b/octave/qam16_test.m
@@ -0,0 +1,141 @@
+% qam16_test.m
+% David Rowe May 2020
+%
+% Octave symbol rate QAM16/LDPC experiments
+
+% Libraries we need
+
+1;
+qam16;
+ldpc;
+
+function test_qam16(fg=2)
+  printf("QAM16 ----------------------------------------\n");
+
+  mod_order = 16; bps = log2(mod_order);
+  modulation = 'QAM'; mapping = ""; demod_type = 0; decoder_type = 0;
+  max_iterations = 100; EsNo_dec = 10;
+  qam16_const = [
+    1 + j,  1 + j*3,  3 + j,  3 + j*3;
+    1 - j,  1 - j*3,  3 - j,  3 - j*3;
+   -1 + j, -1 + j*3, -3 + j, -3 + j*3;
+   -1 - j, -1 - j*3, -3 - j, -3 - j*3];
+  rms = sqrt(qam16_const(:)'*qam16_const(:)/16);
+  qam16_const = qam16_const/rms;
+  constellation_source = 'custom';
+  test_qam16_mod_demod(qam16_const);
+  
+  load HRA_504_396.txt
+  if strcmp(constellation_source,'cml')
+    code_param = ldpc_init_user(HRA_504_396, modulation, mod_order, mapping);
+  else
+    code_param = ldpc_init_user(HRA_504_396, modulation, mod_order, mapping, reshape(qam16_const,1,16));
+  end
+  rate = code_param.ldpc_data_bits_per_frame/code_param.ldpc_coded_bits_per_frame;
+   
+  printf("EbNodB Tbits   Terrs BER   Tcbits  Tcerrs  Perrs CBER  CPER\n");
+  EbNodBvec = 3:10; Ntrials = 1000;
+  for i=1:length(EbNodBvec)
+    EbNodB = EbNodBvec(i);
+    EsNodB = EbNodB + 10*log10(rate) + 10*log10(bps); EsNodBvec(i) = EsNodB;
+    EsNo = 10^(EsNodB/10);
+    variance = 1/EsNo;
+    Terrs = Tbits = 0; Tcerrs = 0; Tcbits = 0; Perrs = 0; rx_symbols_log = [];
+    for nn = 1:Ntrials        
+      tx_bits = round(rand(1, code_param.ldpc_data_bits_per_frame));
+      [tx_codeword, tx_symbols] = ldpc_enc(tx_bits, code_param);
+      noise = sqrt(variance*0.5)*(randn(1,length(tx_symbols)) + j*randn(1,length(tx_symbols)));
+      rx_symbols = tx_symbols + noise;
+      rx_symbols_log = [rx_symbols_log rx_symbols];
+
+      % uncoded decode/demod and count errors
+      rx_codeword = zeros(1,code_param.ldpc_coded_bits_per_frame);
+      for s=1:length(rx_symbols)
+        rx_codeword((s-1)*bps+1:s*bps) = qam16_demod(qam16_const,rx_symbols(s));
+      end
+      Nerr = sum(xor(tx_codeword,rx_codeword));
+      Terrs += Nerr;
+      Tbits += code_param.ldpc_coded_bits_per_frame;
+      
+      % LDPC demod/decode and count errors
+      dec_rx_codeword = ldpc_dec(code_param, max_iterations, demod_type, decoder_type, rx_symbols, EsNo_dec, ones(1,length(rx_symbols)));
+      errors_positions = xor(tx_bits, dec_rx_codeword(1:code_param.ldpc_data_bits_per_frame));
+      Ncerr = sum(errors_positions);
+      Tcbits += code_param.ldpc_data_bits_per_frame; Tcerrs += Ncerr;
+      if Ncerr Perrs++; end
+    end
+    figure(fg); clf; plot(rx_symbols_log,"."); axis([-1.5 1.5 -1.5 1.5]); drawnow;
+    printf("%5.1f %6d %6d %5.2f %6d %6d %6d  %5.2f %5.2f\n",
+           EbNodB, Tbits, Terrs, Terrs/Tbits, Tcbits, Tcerrs, Perrs, Tcerrs/Tcbits, Perrs/Ntrials);
+    ber(i) = Terrs/Tbits; cber(i) = Tcerrs/Tcbits; cper(i) = Perrs/Ntrials;
+  end
+  print("qam64_scatter.png","-dpng");
+
+  figure(fg+1); clf; title('QAM16 Uncoded');
+  uncoded_EbNodBvec = EbNodBvec + 10*log10(rate);
+  ber_theory = ber_qam(uncoded_EbNodBvec);
+  semilogy(uncoded_EbNodBvec,ber_theory,'b+-;uncoded QAM16 BER theory;','markersize', 10, 'linewidth', 2); hold on;
+  semilogy(uncoded_EbNodBvec,ber+1E-10,'g+-;uncoded QAM16 BER;','markersize', 10, 'linewidth', 2); hold on;
+  grid; axis([min(uncoded_EbNodBvec) max(uncoded_EbNodBvec) 1E-5 1]); xlabel('Uncoded Eb/No (dB)');
+  print("qam16_uncoded_ber.png","-dpng");
+  
+  figure(fg+2); clf; title('QAM16 with LDPC (504,396)'); 
+  semilogy(EbNodBvec,cber+1E-10,'b+-;QAM16 coded BER;','markersize', 10, 'linewidth', 2); hold on;
+  semilogy(EbNodBvec,cper+1E-10,'g+-;QAM16 coded PER;','markersize', 10, 'linewidth', 2); hold off;
+  grid; axis([min(EbNodBvec) max(EbNodBvec) 1E-5 1]); xlabel('Eb/No (dB)');
+
+  figure(fg+3); clf; title('QAM16 with LDPC (504,396)'); 
+  semilogy(EsNodBvec,cber+1E-10,'b+-;QAM16 coded BER;','markersize', 10, 'linewidth', 2); hold on;
+  semilogy(EsNodBvec,cper+1E-10,'g+-;QAM16 coded PER;','markersize', 10, 'linewidth', 2); hold off;
+  grid; axis([min(EsNodBvec) max(EsNodBvec) 1E-5 1]); xlabel('Es/No (dB)');
+  print("qam16_504_396.png","-dpng");
+endfunction
+
+
+% Thanks Bill VK5DSP, for the QAM BER functions
+
+function p = ber_qam(ebn0)
+  % Calculate the bit error rate (BER) for square 16QAM in AWGN
+  %   given the Eb/N0 in dB,  ebn0 can be a scalar or vector
+  %   (assuming coherent detection, uncoded)
+  %   [section 5.3 Webb and Hanzo text]
+
+  e = 4*10.^(ebn0/10);    %  Es/N0 vector in linear
+  b2 = qfn(sqrt(e/5));
+  b1 = (qfn(sqrt(e/5)) + qfn(3*sqrt(e/5)))/2;
+  p = (b1+b2)/2;
+endfunction
+
+function tail=qfn(a)
+  % Usage: tail=qfn(a)
+  % where: tail=area under the tail of the normal dist. from a to inf.
+  %        for zero mean, unit variance distribution
+  %
+  % If no argument is given, plot Q(x) for x = 0 to 5
+
+  % use erfc instead of 1-erf to avoid truncation errors!     April 2010
+
+  fact = 1 / sqrt(2);
+  if exist('a')
+
+    % tail = 0.5 * ( 1 - erf(a * fact));
+    tail = 0.5 * erfc(a * fact);
+  else
+    x=(0: 0.1: 6); semilogy(x,  0.5*( erfc(x * fact)));
+    title('Q function plot');
+    xlabel('x'); ylabel('Q(x)');
+  end
+endfunction
+
+
+% --------------------------------------------------------------------------------
+% START SIMULATIONS
+% --------------------------------------------------------------------------------
+
+more off;
+format;
+
+% Start CML library (see CML set up instructions in ldpc.m)
+init_cml();
+
+test_qam16(1)
diff --git a/octave/qpsk.m b/octave/qpsk.m
new file mode 100644
index 0000000..b502e16
--- /dev/null
+++ b/octave/qpsk.m
@@ -0,0 +1,140 @@
+% qpsk.m
+%
+% David Rowe Sep 2015
+%
+% Octave functions to implement a QPSK modem
+
+1;
+
+% Gray coded QPSK modulation function
+
+function symbol = qpsk_mod(two_bits)
+    two_bits_decimal = sum(two_bits .* [2 1]); 
+    switch(two_bits_decimal)
+        case (0) symbol =  1;
+        case (1) symbol =  j;
+        case (2) symbol = -j;
+        case (3) symbol = -1;
+    endswitch
+endfunction
+
+
+% Gray coded QPSK demodulation function
+
+function two_bits = qpsk_demod(symbol)
+    bit0 = real(symbol*exp(j*pi/4)) < 0;
+    bit1 = imag(symbol*exp(j*pi/4)) < 0;
+    two_bits = [bit1 bit0];
+endfunction
+
+
+% Inserts pilot symbols a frame of symbols.  The pilot symbols are
+% spread evenly throughout the input frame.
+
+function frameout = insert_pilots(framein, pilots, Npilotstep)
+
+    lpilots = length(pilots);
+    lframein = length(framein);
+    frameout = zeros(1, lframein + lpilots);
+
+    pin = 1; pout = 1; ppilots = 1;
+    while (lpilots)
+        %printf("pin %d pout %d ppilots %d lpilots %d\n", pin, pout, ppilots, lpilots);
+        frameout(pout:pout+Npilotstep-1) = framein(pin:pin+Npilotstep-1);
+        pin  += Npilotstep; 
+        pout += Npilotstep;
+        frameout(pout:pout) = pilots(ppilots);
+        ppilots++;
+        pout++;
+        lpilots--;
+    end
+endfunction
+
+
+% Removes the pilots symbols from a frame of symbols.
+
+function frameout = remove_pilots(framein, pilots, Npilotstep)
+
+    frameout = [];
+    lpilots = length(pilots);
+
+    pin = 1; pout = 1;
+    while (lpilots)
+        %printf("pin %d pout %d lpilots %d  ", pin, pout, lpilots);
+        %printf("pin+spacing-1 %d lvd %d lframein: %d\n", pin+spacing-1, lvd, length(framein));
+        frameout(pout:pout+Npilotstep-1) = framein(pin:pin+Npilotstep-1);
+        pin  += Npilotstep+1;
+        pout += Npilotstep;
+        lpilots--;
+    end
+
+endfunction
+
+
+% Estimate and correct phase offset using a window of Np pilots around
+% current symbol
+
+function symbpilot_rx = correct_phase_offset(aqpsk, symbpilot_rx)
+  rx_pilot_buf = aqpsk.rx_pilot_buf;
+  Npilotstep   = aqpsk.Npilotstep;
+  Nsymb        = aqpsk.Nsymb;
+
+  for ns=1:Npilotstep+1:Nsymb
+
+    % update buffer of recent pilots, note we need past ones
+
+    rx_pilot_buf(1) = rx_pilot_buf(2);
+    next_pilot_index = ceil(ns/(Npilotstep+1))*(Npilotstep+1);
+    rx_pilot_buf(2) = symbpilot_rx(next_pilot_index);
+
+    % average pilot symbols to get estimate of phase
+
+    phase_est = angle(sum(rx_pilot_buf));
+
+    %printf("next_pilot_index: %d phase_est: %f\n", next_pilot_index, phase_est);
+
+    % now correct the phase of each symbol
+
+    for s=ns:ns+Npilotstep
+      symbpilot_rx(s) *= exp(-j*phase_est);     
+    end
+  end
+
+  aqpsk.rx_pilot_buf = rx_pilot_buf;
+endfunction
+
+
+% builds up a sparse QPSK modulated version version of the UW for use
+% in UW sync at the rx
+
+function mod_uw = build_mod_uw(uw, spacing)
+    luw = length(uw);
+
+    mod_uw = [];
+
+    pout = 1; puw = 1;
+    while (luw)
+        %printf("pin %d pout %d puw %d luw %d\n", pin, pout, puw, luw);
+        pout += spacing/2;
+        mod_uw(pout) = qpsk_mod(uw(puw:puw+1));
+        puw += 2;
+        pout += 1;
+        luw -= 2;
+    end
+endfunction
+
+
+% Uses the UW to determine when we have a full codeword ready for decoding
+
+function [found_uw corr] = look_for_uw(mem_rx_symbols, mod_uw)
+    sparse_mem_rx_symbols = mem_rx_symbols(find(mod_uw));
+
+    % correlate with ref UW
+
+    num = (mem_rx_symbols * mod_uw') .^ 2;
+    den = (sparse_mem_rx_symbols * sparse_mem_rx_symbols') * (mod_uw * mod_uw');
+    
+    corr = abs(num/(den+1E-6));
+    found_uw = corr > 0.8;
+endfunction
+
diff --git a/octave/rf_bpf.m b/octave/rf_bpf.m
new file mode 100644
index 0000000..e0a39ba
--- /dev/null
+++ b/octave/rf_bpf.m
@@ -0,0 +1,37 @@
+% rtlsdr_bpf.m
+%
+% David Rowe 24 August 2018
+%
+% Calculate component values for cascaded HP-LP 2-8 MHz Chebychev filter
+%
+% From "RF Circuit Design", Chris Bowick, Ch 3
+
+1;
+
+function C = find_C(Cn, fc, R)
+  C = Cn/(2*pi*fc*R);
+endfunction
+
+function L = find_L(Ln, fc, R)
+  L = R*Ln/(2*pi*fc);
+endfunction
+
+% 3rd order HP filter, 1dB ripple Cheby, 3MHz cut off, >20dB down at
+% 1MHz to nail strong AM broadcast signals, Table 3-7A. Use a Rs=50,
+% Rl=50, so Rs/Rl = 1.  Note we assume a or phantom load in between
+% cascaded HP-LP sections of 50 ohms.
+
+L1 = find_L(1/2.216, 3E6, 50);
+C1 = find_C(1/1.088, 3E6, 50);
+L2 = find_L(1/2.216, 3E6, 50);
+
+printf("L1: %f uH C1: %f pF L2: %f uH\n", L1*1E6, C1*1E12, L2*1E6);
+
+% 3rd order LPF, 8MHz cut off so >30dB down at 21MHz, which aliases back to 7MHz
+% with Fs=28MHz on RTLSDR (14 MHz Nyquist freq). Rs=50, Rl=50, Rs/Rl = 1
+
+C2 = find_C(2.216, 9E6, 50);
+L3 = find_L(1.088, 9E6, 50);
+C3 = find_C(2.216, 9E6, 50);
+
+printf("C2: %f pF L3: %f uH C3: %f pF\n", C2*1E12, L3*1E6, C3*1E12);
diff --git a/octave/rf_design.m b/octave/rf_design.m
new file mode 100644
index 0000000..eae79f6
--- /dev/null
+++ b/octave/rf_design.m
@@ -0,0 +1,77 @@
+% rfdesign.m
+%
+% David Rowe Nov 2015
+%
+% Helper functions for RF Design
+
+1;
+
+
+% convert a parallel R/X to a series R/X
+
+function Zs = zp_to_zs(Zp)
+  Xp = j*imag(Zp); Rp = real(Zp);
+  Zs = Xp*Rp/(Xp+Rp);
+endfunction
+
+
+% convert a series R/X to a parallel R/X
+
+function Zp = zs_to_zp(Zs)
+  Xs = imag(Zs); Rs = real(Zs);
+  Q = Xs/Rs;       
+  Rp = (Q*Q+1)*Rs;
+  Xp = Rp/Q;
+  Zp = Rp + j*Xp;
+endfunction
+
+
+% Design a Z match network with a parallel and series reactance
+% to match between a low and high resistance.  Note Xp and Xs
+% must be implemented as opposite sign, ie one a inductor, one
+% a capacitor (your choice).
+%
+%  /--Xs--+---\
+%  |      |   |
+% Rlow   Xp  Rhigh
+%  |      |   |
+%  \------+---/
+%        
+
+function [Xs Xp] = z_match(Rlow, Rhigh)
+  assert(Rlow < Rhigh, "Rlow must be < Rhigh");
+  Q = sqrt(Rhigh/Rlow -1);
+  Xs = Q*Rlow;
+  Xp = Rhigh/Q;
+endfunction
+
+
+% Design an air core inductor, Example 1-5 "RF Circuit Design"
+
+function Nturns = design_inductor(L_uH, diameter_mm)
+  Nturns = sqrt(29*L_uH/(0.394*(diameter_mm*0.1/2)));
+endfunction
+
+
+% Work out series resistance Rl of series resonant inductor.  Connect
+% tracking generator to spec-an input, the series LC to ground.  V is
+% the ref TG level (e.g. with perfect 50 ohm term) in volts, Vmin is the
+% minimum at series res freq.
+%
+%  /-50-+---+
+%  |    |   |
+%  TG   C   50 spec-an
+%  |    |   |
+%  |    L   |
+%  |    |   |
+%  |    Rl  |
+%  |    |   |
+%  \----+---/
+
+function Rl = find_rl(V,Vmin)
+  % at series resonance effect of C and L goes away and we are left with
+  % parallel combination of Ls and spec-an 50 ohm input impedance
+
+  Rp = Vmin*50/(2*V*(1-Vmin/(2*V)));
+  Rl = 1/(1/Rp - 1/50)
+endfunction
diff --git a/octave/rf_vhf_amp.m b/octave/rf_vhf_amp.m
new file mode 100644
index 0000000..8c5186a
--- /dev/null
+++ b/octave/rf_vhf_amp.m
@@ -0,0 +1,206 @@
+% s_param_rf.m
+%
+% David Rowe Nov 2015
+%
+% Working for small signal VHF amplifier design using
+% S-param techniques from "RF Circuit Design" by Chris Bowick
+
+rfdesign; % library of helped functions
+
+more off;
+
+Ic = 0.014;
+
+% BRF92 VCE=5V Ic=5mA 100MHz
+ 
+if Ic == 0.005
+  S11 = 0.727*exp(j*(-43)*pi/180);
+  S12 = 0.028*exp(j*(69.6)*pi/180);
+  S21 = 12.49*exp(j*(147)*pi/180);
+  S22 = 0.891*exp(j*(-16)*pi/180);
+end
+
+% BRF92 VCE=10V Ic=14mA 100MHz
+
+if Ic == 0.02
+  S11 = 0.548*exp(j*(-56.8)*pi/180);
+  S12 = 0.020*exp(j*(67.8)*pi/180);
+  S21 = 20.43*exp(j*(133.7)*pi/180);
+  S22 = 0.796*exp(j*(-18.5)*pi/180);
+end
+
+% Stability
+
+Ds = S11*S22-S12*S21;
+Knum = 1 + abs(Ds)^2 - abs(S11)^2 - abs(S22)^2;
+Kden = 2*abs(S21)*abs(S12);
+K = Knum/Kden                                    % If > 1 unconditionally stable
+                                                 % If < 1 panic
+figure(1);
+clf
+scCreate;
+
+if K < 1
+  C1 = S11 - Ds*conj(S22);
+  C2 = S22 - Ds*conj(S11);
+  rs1 = conj(C1)/(abs(S11)^2-abs(Ds)^2);           % centre of input stability circle
+  ps1 = abs(S12*S21/(abs(S11)^2-abs(Ds)^2));       % radius of input stability circle
+  rs2 = conj(C2)/(abs(S22)^2-abs(Ds)^2);           % centre of input stability circle
+  ps2 = abs(S12*S21/(abs(S22)^2-abs(Ds)^2));       % radius of input stability circle
+
+  s(1,1)=S11; s(1,2)=S12; s(2,1)=S21; s(2,2)=S22;
+  plotStabilityCircles(s)
+end
+
+% Gain circle
+
+D2 = abs(S22)^2-abs(Ds)^2;
+C2 = S22 - Ds*conj(S11);
+GdB = 20; Glin = 10^(GdB/10);                                         % lets shoot for 20dB gain
+G = Glin/(abs(S21)^2);
+r0 = G*conj(C2)/(1+D2*G);                                             % centre of gain circle
+p0 = sqrt(1 - 2*K*abs(S12*S21)*G + (abs(S12*S21)^2)*(G^2))/(1+D2*G);  % radius of gain circle
+
+scAddCircle(abs(r0),angle(r0)*180/pi,p0,'g')
+printf("Green is the %3.1f dB constant gain circle for gammaL\n",GdB);
+
+% Note different design procedures for different operating points
+
+if Ic == 0.005
+  % Choose a gammaL on the gain circle
+
+  gammaL = 0.8 - 0.4*j;
+
+  % Caclulate gammaS and make sure it's stable by visual inspection
+  % compared to stability circle.
+
+  gammaS = conj(S11 + ((S12*S21*gammaL)/(1 - (gammaL*S22))));
+end
+
+if Ic == 0.014
+
+  % lets set zo (normalised Zo) based on Pout and get gammaL from that
+
+  Pout = 0.01;
+  Irms = 0.002;
+  Zo = Pout/(Irms*Irms);
+  zo = Zo/50;
+  [magL,angleL] = ztog(zo);
+  gammaL = magL*exp(j*angleL*pi/180);
+
+  % calculate gammaS
+
+  gammaS = conj(S11 + ((S12*S21*gammaL)/(1 - (gammaL*S22))));
+
+end
+
+[zo Zo] = gtoz(abs(gammaL), angle(gammaL)*180/pi,50);
+[zi Zi] = gtoz(abs(gammaS), angle(gammaS)*180/pi,50);
+
+scAddPoint(zi);
+scAddPoint(zo);
+
+% Transducer gain
+
+Gt_num = (abs(S21)^2)*(1-abs(gammaS)^2)*(1-abs(gammaL)^2);
+Gt_den = abs((1-S11*gammaS)*(1-S22*gammaL) - S12*S21*gammaL*gammaS)^2;
+Gt = Gt_num/Gt_den;
+
+if Ic == 0.005
+
+  % Lets design the z match for the input ------------------------------
+
+  % put input impedance in parallel form
+
+  Zip = zs_to_zp(Zi);
+
+  % first match real part of impedance
+
+  Rs = 50; Rl = real(Zip);
+  [Xs Xp] = z_match(Rs,Rl);
+  
+  % Modify Xp so transistor input sees conjugate match to Zi
+  % Lets make Xp a capacitor, so negative sign
+
+  Xp_match = -Xp - imag(Zip);
+
+  % Now convert to real component values
+
+  w = 2*pi*150E6;
+  Ls = Xs/w; diameter_mm = 6.25; 
+  Ls_turns = design_inductor(Ls*1E6, diameter_mm);
+  Cp = 1/(w*(-Xp_match));
+
+  printf("Transducer gain: %3.1f dB\n", 10*log10(Gt));
+  printf("Input: Zi = %3.1f + %3.1fj ohms\n", real(Zi), imag(Zi));
+  printf("       In parallel form Rp = %3.1f Xp = %3.1fj ohms\n", real(Zip), imag(Zip));
+  printf("       So for a conjugate match transistor input wants to see:\n         Rp = %3.1f Xp = %3.1fj ohms\n", real(Zip), -imag(Zip));
+  printf("       Rs = %3.1f to Rl = %3.1f ohm matching network Xs = %3.1fj Xp = %3.1fj\n", Rs, Rl, Xs, Xp);
+  printf("       with conj match to Zi Xs = %3.1fj Xp = %3.1fj\n", Xs, Xp_match);
+  printf("       matching components Ls = %5.3f uH Cp = %4.1f pF\n", Ls*1E6, Cp*1E12);
+  printf("       Ls can be made from %3.1f turns on a %4.2f mm diameter air core\n", Ls_turns, diameter_mm);
+
+  % Now Z match for output -------------------------------------
+
+  Lo = -imag(Zo)/w;
+  Lo_turns = design_inductor(Lo*1E6, diameter_mm);
+  printf("Output: Zo = %3.1f + %3.1fj ohms\n", real(Zo), imag(Zo));
+  printf("        So for a conjugate match transistor output wants to see:\n          Rl = %3.1f Xl = %3.1fj ohms\n", real(Zo), -imag(Zo));
+  printf("        Which is a series inductor Lo = %5.3f uH\n", Lo*1E6);
+  printf("        Lo can be made from %3.1f turns on a %4.2f mm diameter air core\n", Lo_turns, diameter_mm);
+end
+
+
+if Ic == 0.014
+  printf("Transducer gain: %3.1f dB\n", 10*log10(Gt));
+
+  % Lets design the z match for the input ------------------------------
+
+  % put input impedance in parallel form
+
+  Zip = zs_to_zp(Zi);
+
+  % first match real part of impedance
+
+  Rs = 50; Rl = real(Zip);
+  [Xs Xp] = z_match(Rl,Rs);
+  
+  % Lets make Xs a capacitir to block DC, so Xp is an inductor.
+  % Modify Xs so transistor input sees conjugate match to Zi. Xs is a
+  % capacitor, so reactance is negative
+
+  Xs_match = -Xs - imag(Zip);
+
+  % Now convert to real component values
+
+  w = 2*pi*150E6; diameter_mm = 6.25; 
+  Li = Xp/w;
+  Li_turns = design_inductor(Li*1E6, diameter_mm);
+  Ci = 1/(w*(-Xs_match));
+
+  printf("Input: Zi = %3.1f + %3.1fj ohms\n", real(Zi), imag(Zi));
+  printf("       In parallel form Rp = %3.1f Xp = %3.1fj ohms\n", real(Zip), imag(Zip));
+  printf("       So for a conjugate match transistor input wants to see:\n         Rp = %3.1f Xp = %3.1fj ohms\n", real(Zip), -imag(Zip));
+  printf("       Rs = %3.1f to Rl = %3.1f ohm matching network Xs = %3.1fj Xp = %3.1fj\n", Rs, Rl, Xs, Xp);
+  printf("         with Xs a capacitor, and Xp and inductor Xs = %3.1fj Xp = %3.1fj\n", -Xs, Xp);
+  printf("       With a conj match to Zi Xs = %3.1fj Xp = %3.1fj\n", Xs_match, Xp);
+  printf("       matching components Li = %5.3f uH Ci = %4.1f pF\n", Li*1E6, Ci*1E12);
+  printf("       Li can be made from %3.1f turns on a %4.2f mm diameter air core\n", Li_turns, diameter_mm);
+
+  % Design output Z match ----------------------------------------------
+
+  Rs = real(Zo);  Rl = 50;
+  [Xs Xp] = z_match(Rl,Rs);
+
+  % Lets make XP an inductor so it can double as a RF choke, and Xp as
+  % a capacitor will give us a convenient DC block
+
+  w = 2*pi*150E6; diameter_mm = 6.25;
+  Lo = Xp/w; Lo_turns = design_inductor(Lo*1E6, diameter_mm);
+  Co = 1/(w*Xs);
+  printf("Output: Zo = %3.1f + %3.1fj ohms\n", real(Zo), imag(Zo));
+  printf("        matching network Xp = %3.1f X = %3.1f ohms\n", Xp, Xs);
+  printf("        which is parallel Lo = %5.3f uH and series Co = %4.1f pF\n", Lo*1E6, Co*1E12);
+  printf("        Lo can be made from %3.1f turns on a %4.2f mm diameter air core\n", Lo_turns, diameter_mm);
+end
+
diff --git a/octave/rf_vhf_pa.m b/octave/rf_vhf_pa.m
new file mode 100644
index 0000000..000c3fc
--- /dev/null
+++ b/octave/rf_vhf_pa.m
@@ -0,0 +1,111 @@
+% vhf_pa.m
+%
+% David Rowe Dec 2015
+%
+% Working for 0.5W VHF PA
+
+rfdesign;
+
+% BFQ19 Vce=5V Ic=50mA.  These are small signal S-params,
+% which (according to "RF Circuit Design") are not valid.
+% However I need to start somewhere.
+
+S11 = 0.324*exp(j*(-158.1)*pi/180);
+S12 = 0.031*exp(j*(75.9)*pi/180);
+S21 = 19.693*exp(j*(102.7)*pi/180);
+S22 = 0.274*exp(j*(-74.6)*pi/180);
+
+% Lets check stability
+
+Ds = S11*S22-S12*S21;
+Knum = 1 + abs(Ds)^2 - abs(S11)^2 - abs(S22)^2;
+Kden = 2*abs(S21)*abs(S12);
+K = Knum/Kden
+figure(1);
+clf
+scCreate;
+
+if K < 1
+  C1 = S11 - Ds*conj(S22);
+  C2 = S22 - Ds*conj(S11);
+  rs1 = conj(C1)/(abs(S11)^2-abs(Ds)^2);           % centre of input stability circle
+  ps1 = abs(S12*S21/(abs(S11)^2-abs(Ds)^2));       % radius of input stability circle
+  rs2 = conj(C2)/(abs(S22)^2-abs(Ds)^2);           % centre of input stability circle
+  ps2 = abs(S12*S21/(abs(S22)^2-abs(Ds)^2));       % radius of input stability circle
+
+  s(1,1)=S11; s(1,2)=S12; s(2,1)=S21; s(2,2)=S22;
+  plotStabilityCircles(s)
+end
+
+
+% determine collector load Rl for our desired power output
+
+if 0
+P = 0.5;
+Vcc = 5;
+w = 2*pi*150E6;
+
+Rl = Vcc*Vcc/(2*P);
+end
+Rl = 10;
+
+% choose gammaL based on Rl
+
+zo = Rl/50;
+[magL,angleL] = ztog(zo);
+gammaL = magL*exp(j*angleL*pi/180);
+
+% calculate gammaS and Zi and plot
+
+gammaS = conj(S11 + ((S12*S21*gammaL)/(1 - (gammaL*S22))));
+[zi Zi] = gtoz(abs(gammaS), angle(gammaS)*180/pi,50);
+
+scAddPoint(zi);
+scAddPoint(zo);
+
+% design Pi network for matching Rl to Ro, where Ro > Rl
+%
+% /---+-Xs1-Xs2-+---\
+% |   |         |   |
+% Rl Xp1       Xp2  Ro
+% |   |         |   |
+% \---+---------+---/
+%
+% highest impedance used to define Q of pi network and determine R,
+% the "virtual" impedance at the centre of the network, whuch is smaller
+% than Rl and Ro
+
+Ro = 50;
+Q = 3;
+R = Ro/(Q*Q+1); 
+
+Xp2 = Ro/Q;
+Xs2 = Q*R;
+
+Q1 = sqrt(Rl/R - 1);
+Xp1 = Rl/Q1;
+Xs1 = Q1*R;
+
+Cp1 = 1/(w*Xp1);
+Cp2 = 1/(w*Xp2);
+Ls  = (Xs1+Xs2)/w;
+
+printf("Output Matching:\n");
+printf("  Rl = %3.1f  Ro = %3.1f\n", Rl, Ro);
+printf("  Q = %3.1f virtual R = %3.1f\n", Q, R);
+printf("  Xp1 = %3.1f Xs1 = %3.1f Xs2 = %3.1f Xp2 = %3.1f\n", Xp1, Xs1, Xs2, Xp2);
+printf("  Cp1 = %3.1f pF Ls = %3.1f nH Cp2 = %3.1f pF\n", Cp1*1E12, Ls*1E9, Cp2*1E12);
+
+% design input matching network between 50 ohms source and 10 ohms at base
+
+Rb = 10; Rs = 50;
+
+[Xs Xp] = z_match(Rb, Rs);
+
+Lp = Xp/w;
+Cs = 1/(w*Xs);
+
+printf("Input Matching:\n");
+printf("  Xs = %3.1f Xp = %3.1f\n", Xs, Xp);
+printf("  Lp = %3.1f nH Cs = %3.1f pF\n", Lp*1E9, Cs*1E12);
+
diff --git a/octave/sample_clock_offset.m b/octave/sample_clock_offset.m
new file mode 100644
index 0000000..5169178
--- /dev/null
+++ b/octave/sample_clock_offset.m
@@ -0,0 +1,21 @@
+% sample_clock_offset.m
+%
+% David Rowe June 2017
+%
+% To simulate a sample clock offset we resample by a small amount
+% using linear interpolation
+
+function rx = sample_clock_offset(tx, sample_clock_offset_ppm)
+  tin=1;
+  tout=1;
+  rx = zeros(1,length(tx));
+  while tin < length(tx)
+      t1 = floor(tin);
+      t2 = ceil(tin);
+      f = tin - t1;
+      rx(tout) = (1-f)*tx(t1) + f*tx(t2);
+      tout += 1;
+      tin  += 1+sample_clock_offset_ppm/1E6;
+  end
+end
+  
diff --git a/octave/save_array_c_header.m b/octave/save_array_c_header.m
new file mode 100644
index 0000000..1fd87bb
--- /dev/null
+++ b/octave/save_array_c_header.m
@@ -0,0 +1,14 @@
+% save_array_c_header.m
+%
+% David Rowe Sep 2015
+
+function save_array_c_header(array, array_name, filename)
+  f=fopen(filename,"wt");
+  fprintf(f,"/* Generated by save_array_c_header.m Octave function */\n\n");
+  fprintf(f,"const float %s[]={\n", array_name);
+  for m=1:length(array)-1
+    fprintf(f,"  % .16f,\n",array(m));
+  endfor
+  fprintf(f,"  % .16f\n};\n",array(length(array)));
+  fclose(f);
+endfunction
diff --git a/octave/save_comp.m b/octave/save_comp.m
new file mode 100644
index 0000000..b8e663f
--- /dev/null
+++ b/octave/save_comp.m
@@ -0,0 +1,12 @@
+% save_comp.m
+% David Rowe Aug 2020
+
+function save_comp(fn, iq)
+  l = length(iq);
+  s = zeros(1,2*l);
+  s(1:2:2*l) = real(iq);
+  s(2:2:2*l) = imag(iq);
+  fs=fopen(fn,"wb");
+  s = fwrite(fs,s,"float32");
+  fclose(fs);
+endfunction
diff --git a/octave/save_f32.m b/octave/save_f32.m
new file mode 100644
index 0000000..62214d4
--- /dev/null
+++ b/octave/save_f32.m
@@ -0,0 +1,12 @@
+% save_f32.m
+% David Rowe Sep 2021
+%
+% save a matrix to .f32 binary files in row-major order
+
+function save_f32(fn, m)
+  f=fopen(fn,"wb");
+  [r c] = size(m);
+  mlinear = reshape(m', 1, r*c);
+  fwrite(f, mlinear, 'float32');
+  fclose(f);
+endfunction
diff --git a/octave/save_hackrf.m b/octave/save_hackrf.m
new file mode 100644
index 0000000..5dda704
--- /dev/null
+++ b/octave/save_hackrf.m
@@ -0,0 +1,13 @@
+% save_hackrf.m
+%
+% David Rowe Aug 2020
+
+function save_hackrf(fn,iq)
+  l = length(iq);
+  s = zeros(1,2*l);
+  s(1:2:2*l) = real(iq);
+  s(2:2:2*l) = imag(iq);
+  fs = fopen(fn,"wb");
+  fwrite(fs,s,"schar");
+  fclose(fs);
+endfunction
diff --git a/octave/save_raw.m b/octave/save_raw.m
new file mode 100644
index 0000000..7f17277
--- /dev/null
+++ b/octave/save_raw.m
@@ -0,0 +1,7 @@
+% save_raw.m
+% David Rowe 9 Feb 2015
+
+function s = save_raw(fn,s)
+  fs=fopen(fn,"wb");
+  fwrite(fs,s,"short");
+endfunction
diff --git a/octave/snr_curves_plot.m b/octave/snr_curves_plot.m
new file mode 100644
index 0000000..8a2e234
--- /dev/null
+++ b/octave/snr_curves_plot.m
@@ -0,0 +1,262 @@
+% snr_curves_plot.m
+%
+% Companion script for unittest/raw_data_curves
+
+1;
+
+function state_vec = set_graphics_state_print()
+  textfontsize = get(0,"defaulttextfontsize");
+  linewidth = get(0,"defaultlinelinewidth");
+  markersize = get(0, "defaultlinemarkersize");
+  set(0, "defaulttextfontsize", 16);
+  set(0, "defaultaxesfontsize", 16);
+  set(0, "defaultlinelinewidth", 1);
+  state_vec = [textfontsize linewidth markersize];
+endfunction
+
+function set_graphics_state_screen(state_vec) 
+  textfontsize = state_vec(1);
+  linewidth = state_vec(2);
+  markersize = state_vec(3);
+  set(0, "defaulttextfontsize", textfontsize);
+  set(0, "defaultaxesfontsize", textfontsize);
+  set(0, "defaultlinelinewidth", linewidth);  
+  set(0, "defaultlinemarkersize", markersize);
+endfunction
+
+function [snr_ch per] = snr_scatter(source, mode, channel, colour)
+  suffix = sprintf("_%s_%s_%s",source, mode, channel);
+  snr = load(sprintf("snr%s.txt",suffix));
+  offset = load(sprintf("offset%s.txt",suffix));
+  snr -= offset;
+  snr_x = []; snrest_y = [];
+  for i=1:length(snr)
+    fn = sprintf('snrest%s_%d.txt',suffix,i);
+    if exist(fn,'file') == 2
+      snrest=load(fn);
+      if i == length(snr)
+        plot(snr(i)*ones(1,length(snrest)), snrest, sprintf('%s;%s %s;',colour,source,mode));
+      else
+        plot(snr(i)*ones(1,length(snrest)), snrest, sprintf('%s',colour));
+      end
+      snr_x = [snr_x snr(i)]; snrest_y = [snrest_y mean(snrest)];
+    end
+  end
+  plot(snr_x, snrest_y, sprintf('%s', colour));
+endfunction
+
+function [snr_ch per] = per_snr(mode, colour)
+  snrch = load(sprintf("snrch_%s.txt",mode));
+  snroffset = load(sprintf("snroffset_%s.txt",mode));
+  snrch -= snroffset; 
+  per = load(sprintf("per_%s.txt",mode));
+  plot(snrch, per, sprintf('%so-;%s;', colour, mode));
+endfunction
+
+function snrest_snr_screen(source, channel)
+  clf; hold on;
+  snr_scatter(source, 'datac0', channel,'b+-')
+  snr_scatter(source, 'datac1', channel,'g+-')
+  snr_scatter(source, 'datac3', channel,'r+-')
+  snr_scatter(source, 'datac4', channel,'c+-')
+  snr_scatter(source, 'datac13', channel,'m+-')
+  xlabel('SNR (dB)'); ylabel('SNRest (dB)'); grid('minor');
+  axis([-12 12 -12 12]);
+  a = axis;
+  plot([a(1) a(2)],[a(1) a(2)],'bk-');
+  hold off; grid;
+  if strcmp(source,'ctx')
+    title(sprintf('SNR estimate versus SNR (%s) (no compression)', channel));
+  else
+    title(sprintf('SNR estimate versus SNR (%s) (with compression)', channel));
+  end
+  legend('location','northwest');
+endfunction
+
+function snrest_snr_print(source, channel)
+  state_vec = set_graphics_state_print();
+  snrest_snr_screen(source, channel);
+  print(sprintf("snrest_snr_%s.png", source), "-dpng", "-S1000,800");
+  set_graphics_state_screen(state_vec);
+endfunction
+
+function ber_per_v_snr(source, mode, channel, colour)
+  suffix = sprintf("_%s_%s_%s.txt",source, mode, channel);
+  snr = load(sprintf("snr%s",suffix));
+  offset = load(sprintf("offset%s",suffix));
+  snr -= offset;
+  ber = load(sprintf("ber%s",suffix)) + 1E-6;
+  per = load(sprintf("per%s",suffix)) + 1E-6;
+  semilogy(snr, ber, sprintf('%s;%s %s ber;', colour, source, mode));
+  semilogy(snr, per, sprintf('%s;%s %s per;', colour, source, mode),'linewidth',3,'markersize',10);
+endfunction
+
+function per_v_snr(source, mode, channel, colour)
+  suffix = sprintf("_%s_%s_%s.txt",source, mode, channel);
+  snr = load(sprintf("snr%s",suffix));
+  offset = load(sprintf("offset%s",suffix));
+  snr -= offset;
+  per = load(sprintf("per%s",suffix)) + 1E-6;
+  if strcmp(channel,"awgn")
+    semilogy(snr, per, sprintf('%s;%s %s;', colour, mode, channel));
+  else
+    semilogy(snr, per, sprintf('%s;%s %s;', colour, mode, channel),'linewidth',3,'markersize',10);
+  end
+endfunction
+
+function thruput_v_snr(source, mode, channel, colour)
+  suffix = sprintf("_%s_%s_%s.txt",source, mode, channel);
+  snr = load(sprintf("snr%s",suffix));
+  offset = load(sprintf("offset%s",suffix));
+  snr -= offset;
+  per = load(sprintf("per%s",suffix)) + 1E-6;
+  if strcmp(mode,"datac0") Rb=291; end;
+  if strcmp(mode,"datac1") Rb=980; end;
+  if strcmp(mode,"datac3") Rb=321; end;
+  if strcmp(mode,"datac4") Rb=87; end;
+  if strcmp(mode,"datac13") Rb=65; end;
+  if strcmp(channel,"awgn")
+    plot(snr, Rb*(1-per), sprintf('%s;%s %s;', colour, mode, channel));
+  else
+    plot(snr, Rb*(1-per), sprintf('%s;%s %s;', colour, mode, channel),'linewidth',3,'markersize',10);
+  end
+endfunction
+
+function octave_ch_noise_screen(channel)
+  clf; hold on;
+  ber_per_v_snr('oct','datac0',channel,'bo-')
+  ber_per_v_snr('ch' ,'datac0',channel,'bx-')
+  ber_per_v_snr('oct','datac1',channel,'go-')
+  ber_per_v_snr('ch' ,'datac1',channel,'gx-')
+  ber_per_v_snr('oct','datac3',channel,'ro-')
+  ber_per_v_snr('ch' ,'datac3',channel,'rx-')
+  xlabel('SNR (dB)'); grid;
+  hold off;
+  if strcmp(channel,"awgn")
+    axis([-6 8 1E-3 1]);
+  else
+    axis([-2 12 1E-3 1]);
+  end
+  title(sprintf('Comparsion of Measuring SNR from Octave and ch tool (%s)', channel));
+endfunction
+
+function octave_ch_noise_print(channel)
+  state_vec = set_graphics_state_print();
+  octave_ch_noise_screen(channel);
+  print(sprintf("octave_ch_noise_%s.png", channel), "-dpng","-S1000,800");
+  set_graphics_state_screen(state_vec);
+endfunction
+
+function octave_c_tx_screen(channel)
+  clf; hold on;
+  ber_per_v_snr('oct','datac0',channel,'bo-')
+  ber_per_v_snr('ctx','datac0',channel,'bx-')
+  ber_per_v_snr('oct','datac1',channel,'go-')
+  ber_per_v_snr('ctx','datac1',channel,'gx-')
+  ber_per_v_snr('oct','datac3',channel,'ro-')
+  ber_per_v_snr('ctx','datac3',channel,'rx-')
+  xlabel('SNR (dB)'); grid;
+  hold off;
+  if strcmp(channel,"awgn")
+    axis([-6 8 1E-3 1]);
+  else
+    axis([-2 12 1E-3 1]);
+  end
+  title(sprintf('Comparsion of Octave Tx and C Tx (no compression) (%s)', channel));
+endfunction
+
+function octave_c_tx_print(channel)
+  state_vec = set_graphics_state_print();
+  octave_c_tx_screen(channel);
+  print(sprintf("octave_c_tx_%s.png", channel), "-dpng","-S1000,800");
+  set_graphics_state_screen(state_vec);
+endfunction
+
+function octave_c_tx_comp_screen(channel)
+  clf; hold on;
+  ber_per_v_snr('oct','datac0',channel,'bo-')
+  ber_per_v_snr('ctxc','datac0',channel,'bx-')
+  ber_per_v_snr('oct','datac1',channel,'go-')
+  ber_per_v_snr('ctxc','datac1',channel,'gx-')
+  ber_per_v_snr('oct','datac3',channel,'ro-')
+  ber_per_v_snr('ctxc','datac3',channel,'rx-')
+  xlabel('SNR (dB)'); grid;
+  hold off;
+  if strcmp(channel,"awgn")
+    axis([-6 8 1E-3 1]);
+  else
+    axis([-2 12 1E-3 1]);
+  end
+  title(sprintf('Comparsion of Octave Tx and C Tx (with compression) (%s)', channel));
+endfunction
+
+function octave_c_tx_comp_print(channel)
+  state_vec = set_graphics_state_print();
+  octave_c_tx_comp_screen(channel);
+  print(sprintf("octave_c_tx_comp_%s.png", channel), "-dpng","-S1000,800");
+  set_graphics_state_screen(state_vec);
+endfunction
+
+% composite AWGN and MPP for compressed
+function c_tx_comp_screen
+  clf; hold on;
+  per_v_snr('ctxc','datac0','awgn','bo-')
+  per_v_snr('ctxc','datac1','awgn','go-')
+  per_v_snr('ctxc','datac3','awgn','ro-')
+  per_v_snr('ctxc','datac4','awgn','co-')
+  per_v_snr('ctxc','datac13','awgn','mo-')
+  per_v_snr('ctxc','datac0','mpp','bx-')
+  per_v_snr('ctxc','datac1','mpp','gx-')
+  per_v_snr('ctxc','datac3','mpp','rx-')
+  per_v_snr('ctxc','datac4','mpp','cx-')
+  per_v_snr('ctxc','datac13','mpp','mx-')
+  xlabel('SNR (dB)'); ylabel('PER'); grid;
+  hold off;
+  axis([-10 10 1E-3 1]);
+  title('PER of C Raw Data Modes (with compression)');
+endfunction
+
+function c_tx_comp_print;
+  state_vec = set_graphics_state_print();
+  c_tx_comp_screen;
+  print("c_tx_comp.png", "-dpng","-S1000,800");
+  set_graphics_state_screen(state_vec);
+endfunction
+
+function c_tx_comp_thruput_screen
+  clf; hold on;
+  thruput_v_snr('ctxc','datac0','awgn','bo-')
+  thruput_v_snr('ctxc','datac1','awgn','go-')
+  thruput_v_snr('ctxc','datac3','awgn','ro-')
+  thruput_v_snr('ctxc','datac4','awgn','co-')
+  thruput_v_snr('ctxc','datac13','awgn','mo-')
+  thruput_v_snr('ctxc','datac0','mpp','bx-')
+  thruput_v_snr('ctxc','datac1','mpp','gx-')
+  thruput_v_snr('ctxc','datac3','mpp','rx-')
+  thruput_v_snr('ctxc','datac4','mpp','cx-')
+  thruput_v_snr('ctxc','datac13','mpp','mx-')
+  xlabel('SNR (dB)'); ylabel('bits/s'); grid;
+  hold off;
+  axis([-10 10 0 1000]);
+  title(' Throughput for C Tx (with compression)');
+  legend('location','west');
+endfunction
+
+function c_tx_comp_thruput_print;
+  state_vec = set_graphics_state_print;
+  c_tx_comp_thruput_screen;
+  print("c_tx_comp_thruput.png", "-dpng","-S1000,800");
+  set_graphics_state_screen(state_vec);
+endfunction
+
+#{
+figure(1); octave_ch_noise_screen;
+figure(2); octave_c_tx_screen;
+figure(3); octave_c_tx_comp_screen
+figure(4); snrest_snr_screen;
+
+figure(5); octave_ch_noise_print;
+figure(6); octave_c_tx_print;
+figure(7); octave_c_tx_comp_print;
+figure(8); snrest_snr_print;
+#}
diff --git a/octave/spec.m b/octave/spec.m
new file mode 100644
index 0000000..d556b90
--- /dev/null
+++ b/octave/spec.m
@@ -0,0 +1,86 @@
+% spec.m
+% Jean Marc Valin
+%
+% Spectrogram function for Octave 
+%
+%   Copyright (c) John-Marc Valin 2012
+%
+%   Redistribution and use in source and binary forms, with or without
+%   modification, are permitted provided that the following conditions
+%   are met:
+%   
+%   - Redistributions of source code must retain the above copyright
+%   notice, this list of conditions and the following disclaimer.
+%   
+%   - Redistributions in binary form must reproduce the above copyright
+%   notice, this list of conditions and the following disclaimer in the
+%   documentation and/or other materials provided with the distribution.
+%   
+%   - Neither the name of Jean Marc Valin nor the names of its
+%   contributors may be used to endorse or promote products derived from
+%   this software without specific prior written permission.
+%   
+%   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+%   ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+%   LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+%   A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE FOUNDATION OR
+%   CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+%   EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+%   PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+%   PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+%   LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+%   NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+%   SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+function X = spec(x, Fs, framesize, start, stop)
+
+
+gr=[zeros(1024,1),[0:1023]'/1023,.68*[0:1023]'/1023];
+
+%gr=[.4*[0:1023]'/1023,[0:1023]'/1023,.68*[0:1023]'/1023];
+
+%t=[0:1023]'/1023;
+%t=(1+.25*t-cos(pi*t))/2.25;
+%gr = [zeros(1024,1),t,.68*t];
+
+
+%colormap(gr);
+
+if nargin < 2 || isempty(Fs)
+   Fs = 44100;
+end
+
+if nargin < 3 || isempty(framesize)
+   framesize = 2048;
+endif
+
+offset = framesize/8;
+
+X = 20*log10(abs(specgram(x, framesize, 48000, blackmanharris(framesize)', framesize-offset)));
+
+XM=max(max(X));
+X = max(XM-30,X);
+%size(X)
+F = -[framesize/2-1:-1:0]/framesize*Fs;
+%F = [0:127]/128*24000;
+T=[1:size(X,2)]/Fs*offset;
+%imagesc(X(end:-1:1,:));
+
+if nargin < 4 || isempty(start)
+   istart=1;
+else
+   istart = round(start*Fs/offset);
+end
+
+if nargin < 5 || isempty(stop)
+   istop = size(X,2);
+else
+   istop = round(stop*Fs/offset);
+endif
+
+istart = max(1,istart);
+istop = min(istop, size(X,2));
+
+imagesc(T(1+istart:istop), F, X(end:-1:1,1+istart:istop));
+
+X = X(:,1+istart:istop);
diff --git a/octave/tcohpsk.m b/octave/tcohpsk.m
new file mode 100644
index 0000000..00afafb
--- /dev/null
+++ b/octave/tcohpsk.m
@@ -0,0 +1,743 @@
+% tcohpsk.m
+% David Rowe Oct 2014
+%
+% Octave coherent PSK modem script that hs two modes:
+%
+% i) tests the C port of the coherent PSK modem.  This script loads
+%    the output of unittest/tcohpsk.c and compares it to the output of
+%    the reference versions of the same modem written in Octave.
+%
+
+% (ii) Runs the Octave version of the cohpsk modem to tune and develop
+%      it, including extensive channel simulations such as AWGN noise,
+%      fading/HF, frequency offset, frequency drift, and tx/rx sample
+%      rate differences.
+
+%  TODO:
+%
+%  [X] Test
+%      [X] AWGN channel
+%      [X] freq offset
+%      [X] fading channel
+%      [X] freq drift
+%      [X] timing drift
+%  [X] tune perf/impl loss to get closer to ideal
+%      [X] linear interp of phase for better fading perf
+%  [X] freq offset/drift feedback loop 
+%  [X] PAPR measurement and reduction
+%  [X] false sync
+%      [X] doesn't sync up on noise (used EsNo = -12)
+%      [X] similar but invalid signal like huge f off
+%  [X] ability to "unsync" when signal disappears
+%  [ ] some calibrated tests against FreeDV 1600
+%      + compare sound quality at various Es/Nos
+%  [ ] sync
+%      + set some req & implement
+%      [ ] way to handle eom w/o nasties
+%          + like mute output when signal has gone or v low snr
+%          + instantaneous snr
+%  [X] ssb tx filter with 3dB passband ripple
+%      + diverisity helped for AWGN BER 0.024 down to 0.016
+%      + Only a small change in fading perf with filter on/off
+%      + however other filters may have other effects, should test this, 
+%        e.g. scatter plots, some sort of BER metric?
+%  [X] EsNo estimation
+%  [ ] filter reqd with compression?
+%      + make sure not too much noise passed into noise floor
+%  [X] different diversity combination
+%      + taking largest symbol didn't help
+%  [X] histogram of bit errors
+%      + lot of data
+%      + ssb filter
+%      + compression
+%      + make sure it's flat with many errors
+
+pkg load signal;
+more off;
+
+global passes = 0;
+global fails = 0;
+
+cohpsk_dev;
+fdmdv_common;
+autotest;
+
+rand('state',1); 
+randn('state',1);
+
+% select which test  ----------------------------------------------------------
+
+test = 'compare to c';
+%test = 'awgn';
+%test = 'fading';
+
+% some parameters that can be over ridden, e.g. to disable parts of modem
+
+initial_sync = 0;  % setting this to 1 put us straight into sync w/o freq offset est
+ftrack_en    = 1;  % set to 1 to enable freq tracking
+ssb_tx_filt  = 0;  % set to 1 to to simulate SSB tx filter with passband ripple
+Fs           = 7500;
+
+% predefined tests ....
+
+if strcmp(test, 'compare to c')
+  frames = 30;
+  foff =  58.7;
+  dfoff = -0.5/Fs;
+  EsNodB = 8;
+  fading_en = 0;
+  hf_delay_ms = 2;
+  compare_with_c = 1;
+  sample_rate_ppm = -1500;
+  ssb_tx_filt  = 0;
+end
+
+% should be BER around 0.015 to 0.02
+
+if strcmp(test, 'awgn')
+  frames = 100;
+  foff =  58.7;
+  dfoff = -0.5/Fs;
+  EsNodB = 8;
+  fading_en = 0;
+  hf_delay_ms = 2;
+  compare_with_c = 0;
+  sample_rate_ppm = 0;
+end
+
+% Similar to AWGN - should be BER around 0.015 to 0.02
+
+if strcmp(test, 'fading');
+  frames = 100;
+  foff = -25;
+  dfoff = 0.5/Fs;
+  EsNodB = 12;
+  fading_en = 1;
+  hf_delay_ms = 2;
+  compare_with_c = 0;
+  sample_rate_ppm = 0;
+end
+
+EsNo = 10^(EsNodB/10);
+
+% modem constants ----------------------------------------------------------
+
+Rs = 75;               % symbol rate in Hz
+Nc = 7;                % number of carriers
+Nd = 2;                % diveristy factor
+framesize = 56;        % number of payload data bits in the frame
+
+Nsw = 4;               % frames we demod for initial sync window
+afdmdv.Nsym = 6;       % size of tx/tx root nyquist filter in symbols
+afdmdv.Nt = 5;         % number of symbols we estimate timing over
+
+clip = 6.5;            % Clipping of tx signal to reduce PAPR. Adjust by 
+                       % experiment as Nc and Nd change.  Check out no noise 
+                       % scatter diagram and AWGN/fading BER perf
+                       % at operating points
+
+% FDMDV init ---------------------------------------------------------------
+
+afdmdv.Fs = Fs;
+afdmdv.Nc = Nd*Nc-1;
+afdmdv.Rs = Rs;
+
+if Fs/afdmdv.Rs != floor(Fs/afdmdv.Rs)
+  printf("\n  Oops, Fs/Rs must be an integer!\n\n");
+  return
+end
+
+M = afdmdv.M  = afdmdv.Fs/afdmdv.Rs;
+afdmdv.Nfilter = afdmdv.Nsym*M;
+afdmdv.tx_filter_memory = zeros(afdmdv.Nc+1, afdmdv.Nfilter);
+excess_bw = 0.5;
+afdmdv.gt_alpha5_root = gen_rn_coeffs(excess_bw, 1/Fs, Rs, afdmdv.Nsym, afdmdv.M);
+
+Fcentre = afdmdv.Fcentre = 1500;
+afdmdv.Fsep = afdmdv.Rs*(1+excess_bw);
+afdmdv.phase_tx = ones(afdmdv.Nc+1,1);
+
+% non linear carrier spacing, combined with clip, helps PAPR a lot!
+
+freq_hz = afdmdv.Fsep*( -Nc*Nd/2 - 0.5 + (1:Nc*Nd).^0.98 );
+afdmdv.freq_pol = 2*pi*freq_hz/Fs;
+afdmdv.freq = exp(j*afdmdv.freq_pol);
+afdmdv.Fcentre = 1500;
+
+afdmdv.fbb_rect = exp(j*2*pi*Fcentre/Fs);
+afdmdv.fbb_phase_tx = 1;
+afdmdv.fbb_phase_rx = 1;
+
+afdmdv.Nrxdec = 31;
+afdmdv.rxdec_coeff = fir1(afdmdv.Nrxdec-1, 0.25)';
+afdmdv.rxdec_lpf_mem = zeros(1,afdmdv.Nrxdec-1+afdmdv.M);
+
+P = afdmdv.P = 4;
+afdmdv.phase_rx = ones(afdmdv.Nc+1,1);
+afdmdv.Nfilter = afdmdv.Nsym*afdmdv.M;
+afdmdv.rx_fdm_mem = zeros(1,afdmdv.Nfilter + afdmdv.M);
+Q = afdmdv.Q = afdmdv.M/4;
+if Q != floor(Q)
+  printf("\n  Yeah .... if (Fs/Rs)/4 = M/4 isn't an integer we will just go and break things.\n\n");
+end
+
+afdmdv.rx_filter_mem_timing = zeros(afdmdv.Nc+1, afdmdv.Nt*afdmdv.P);
+afdmdv.Nfiltertiming = afdmdv.M + afdmdv.Nfilter + afdmdv.M;
+
+afdmdv.rx_filter_memory = zeros(afdmdv.Nc+1, afdmdv.Nfilter);
+
+afdmdv.filt = 0;
+afdmdv.prev_rx_symb = ones(1,afdmdv.Nc+1);
+
+% COHPSK Init --------------------------------------------------------
+
+acohpsk = standard_init();
+acohpsk.framesize        = framesize;
+acohpsk.ldpc_code        = 0;
+acohpsk.ldpc_code_rate   = 1;
+acohpsk.Nc               = Nc;
+acohpsk.Rs               = Rs;
+acohpsk.Ns               = 4;
+acohpsk.coh_en           = 1;
+acohpsk.Nd               = Nd;
+acohpsk.modulation       = 'qpsk';
+acohpsk.do_write_pilot_file = 1;      % enable this to dump pilot symbols to C .h file, e.g. if frame params change
+acohpsk = symbol_rate_init(acohpsk);
+acohpsk.Ndft = 1024;
+acohpsk.f_est = afdmdv.Fcentre;
+
+ch_fdm_frame_buf = zeros(1, Nsw*acohpsk.Nsymbrowpilot*afdmdv.M);
+
+% -----------------------------------------------------------
+
+tx_bits_log = [];
+tx_symb_log = [];
+rx_amp_log = [];
+rx_phi_log = [];
+ch_symb_log = [];
+rx_symb_log = [];
+rx_bits_log = [];
+tx_bits_prev_log = [];
+uvnoise_log = [];
+nerr_log = [];
+tx_baseband_log = [];
+tx_fdm_frame_log = [];
+ch_fdm_frame_log = [];
+rx_fdm_frame_bb_log = [];
+rx_filt_log = [];
+rx_fdm_filter_log = [];
+rx_baseband_log = [];
+rx_fdm_frame_log = [];
+ct_symb_ff_log = [];
+rx_timing_log = [];
+ratio_log = [];
+foff_log = [];
+f_est_log = [];
+sig_rms_log = [];
+noise_rms_log = [];           
+noise_rms_filt_log = [];
+
+% Channel modeling and BER measurement ----------------------------------------
+
+rand('state',1); 
+tx_bits_coh = round(rand(1,framesize*10));
+ptx_bits_coh = 1;
+
+Nerrs = Tbits = 0;
+prev_tx_bits = prev_tx_bits2 = [];
+error_positions_hist = zeros(1,framesize);
+
+phase_ch = 1;
+sync = initial_sync;
+acohpsk.f_est = Fcentre;
+acohpsk.f_fine_est = 0;
+acohpsk.ct = 4;
+acohpsk.ftrack_en = ftrack_en;
+
+[spread spread_2ms hf_gain] = init_hf_model(Fs, frames*acohpsk.Nsymbrowpilot*afdmdv.M);
+hf_n = 1;
+nhfdelay = floor(hf_delay_ms*Fs/1000);
+ch_fdm_delay = zeros(1, acohpsk.Nsymbrowpilot*M + nhfdelay);
+
+% simulated SSB tx filter
+
+[b, a] = cheby1(4, 3, [600, 2600]/(Fs/2));
+[y filt_states] = filter(b,a,0);
+h = freqz(b,a,(600:2600)/(Fs/(2*pi)));
+filt_gain = (2600-600)/sum(abs(h) .^ 2);   % ensures power after filter == before filter
+
+noise_rms_filt = 0;
+
+% main loop --------------------------------------------------------------------
+
+% run mod and channel as aseparate loop so we can resample to simulate sample rate differences
+
+for f=1:frames
+  tx_bits = tx_bits_coh(ptx_bits_coh:ptx_bits_coh+framesize-1);
+  ptx_bits_coh += framesize;
+  if ptx_bits_coh > length(tx_bits_coh)
+    ptx_bits_coh = 1;
+  end
+
+  tx_bits_log = [tx_bits_log tx_bits];
+
+  [tx_symb tx_bits] = bits_to_qpsk_symbols(acohpsk, tx_bits, []);
+  tx_symb_log = [tx_symb_log; tx_symb];
+  
+  tx_fdm_frame = [];
+  for r=1:acohpsk.Nsymbrowpilot
+    tx_onesymb = tx_symb(r,:);
+    [tx_baseband afdmdv] = tx_filter(afdmdv, tx_onesymb);
+    tx_baseband_log = [tx_baseband_log tx_baseband];
+    [tx_fdm afdmdv] = fdm_upconvert(afdmdv, tx_baseband);
+    tx_fdm_frame = [tx_fdm_frame tx_fdm];
+  end
+
+  % clipping, which along with non-linear carrier spacing, improves PAPR
+  % The value of clip is a function of Nc and is adjusted experimentally
+  % such that the BER hit over no clipping at Es/No=8dB is small.
+
+  ind = find(abs(tx_fdm_frame) > clip);
+  tx_fdm_frame(ind) = clip*exp(j*angle(tx_fdm_frame(ind)));
+
+  tx_fdm_frame_log = [tx_fdm_frame_log tx_fdm_frame];
+
+  %
+  % Channel --------------------------------------------------------------------
+  %
+
+  % simulate tx SSB filter with ripple
+
+  if ssb_tx_filt
+    [tx_fdm_frame filt_states] = filter(b,a,sqrt(filt_gain)*tx_fdm_frame, filt_states);
+  end
+
+  % frequency offset and frequency drift
+
+  ch_fdm_frame = zeros(1,acohpsk.Nsymbrowpilot*M);
+  for i=1:acohpsk.Nsymbrowpilot*M
+    foff_rect = exp(j*2*pi*foff/Fs);
+    foff += dfoff;
+    phase_ch *= foff_rect;
+    ch_fdm_frame(i) = tx_fdm_frame(i) * phase_ch;
+  end
+  foff_log = [foff_log foff];
+  phase_ch /= abs(phase_ch);
+
+  % optional fading
+
+  if fading_en
+    ch_fdm_delay(1:nhfdelay) = ch_fdm_delay(acohpsk.Nsymbrowpilot*M+1:nhfdelay+acohpsk.Nsymbrowpilot*M);
+    ch_fdm_delay(nhfdelay+1:nhfdelay+acohpsk.Nsymbrowpilot*M) = ch_fdm_frame;
+
+    for i=1:acohpsk.Nsymbrowpilot*M
+      ahf_model = hf_gain*(spread(hf_n)*ch_fdm_frame(i) + spread_2ms(hf_n)*ch_fdm_delay(i));
+      ch_fdm_frame(i) = ahf_model;
+      hf_n++;
+    end
+  end
+
+  % each carrier has power = 2, total power 2Nc, total symbol rate NcRs, noise BW B=Fs
+  % Es/No = (C/Rs)/(N/B), N = var = 2NcFs/NcRs(Es/No) = 2Fs/Rs(Es/No)
+
+  variance = 2*Fs/(acohpsk.Rs*EsNo);
+  uvnoise = sqrt(0.5)*(randn(1,acohpsk.Nsymbrowpilot*M) + j*randn(1,acohpsk.Nsymbrowpilot*M));
+  uvnoise_log = [uvnoise_log uvnoise];
+  noise = sqrt(variance)*uvnoise;
+
+  ch_fdm_frame += noise;
+
+  ch_fdm_frame_log = [ch_fdm_frame_log ch_fdm_frame];
+end
+
+% simulate difference in sample clocks
+
+tin=1;
+tout=1;
+ch_fdm_frame_log_out = zeros(1,length(ch_fdm_frame_log));
+while tin < length(ch_fdm_frame_log)
+      t1 = floor(tin);
+      t2 = ceil(tin);
+      f = tin - t1;
+      ch_fdm_frame_log_out(tout) = (1-f)*ch_fdm_frame_log(t1) + f*ch_fdm_frame_log(t2);
+      tout += 1;
+      tin  += 1+sample_rate_ppm/1E6;
+end
+ch_fdm_frame_log = ch_fdm_frame_log_out(1:tout-1);
+
+% Now run demod ----------------------------------------------------------------
+
+ch_fdm_frame_log_index = 1;
+nin = M;
+f = 0;
+nin_frame = acohpsk.Nsymbrowpilot*M;
+
+%while (ch_fdm_frame_log_index + acohpsk.Nsymbrowpilot*M+M/P) < length(ch_fdm_frame_log)
+for f=1:frames;
+  acohpsk.frame = f;
+
+  ch_fdm_frame = ch_fdm_frame_log(ch_fdm_frame_log_index:ch_fdm_frame_log_index + nin_frame - 1);
+  ch_fdm_frame_log_index += nin_frame;
+
+  %
+  % Demod ----------------------------------------------------------------------
+  %
+
+  % store two frames of received samples so we can rewind if we get a good candidate
+
+  ch_fdm_frame_buf(1:Nsw*acohpsk.Nsymbrowpilot*M-nin_frame) = ch_fdm_frame_buf(nin_frame+1:Nsw*acohpsk.Nsymbrowpilot*M);
+  ch_fdm_frame_buf(Nsw*acohpsk.Nsymbrowpilot*M-nin_frame+1:Nsw*acohpsk.Nsymbrowpilot*M) = ch_fdm_frame;
+
+  next_sync = sync;
+
+  % if out of sync do Initial Freq offset estimation over NSW frames to flush out memories
+
+  if (sync == 0)
+
+    % we can test +/- 20Hz, so we break this up into 3 tests to cover +/- 60Hz
+
+    max_ratio = 0;
+    for acohpsk.f_est = Fcentre-40:40:Fcentre+40
+       
+      printf("  [%d] acohpsk.f_est: %f +/- 20\n", f, acohpsk.f_est);
+
+      % we are out of sync so reset f_est and process two frames to clean out memories
+
+      [ch_symb rx_timing rx_filt rx_baseband afdmdv acohpsk.f_est] = rate_Fs_rx_processing(afdmdv, ch_fdm_frame_buf, acohpsk.f_est, Nsw*acohpsk.Nsymbrowpilot, nin, 0);
+      rx_baseband_log = [rx_baseband_log rx_baseband];
+      
+      rx_filt_log = [rx_filt_log rx_filt];
+      ch_symb_log = [ch_symb_log; ch_symb];
+      rx_timing_log = [rx_timing_log rx_timing];
+
+      for i=1:Nsw-1
+        acohpsk.ct_symb_buf = update_ct_symb_buf(acohpsk.ct_symb_buf, ch_symb((i-1)*acohpsk.Nsymbrowpilot+1:i*acohpsk.Nsymbrowpilot,:), acohpsk.Nct_sym_buf, acohpsk.Nsymbrowpilot);
+      end
+      [anext_sync acohpsk] = frame_sync_fine_freq_est(acohpsk, ch_symb((Nsw-1)*acohpsk.Nsymbrowpilot+1:Nsw*acohpsk.Nsymbrowpilot,:), sync, next_sync);
+
+      if anext_sync == 1
+        %printf("  [%d] acohpsk.ratio: %f\n", f, acohpsk.ratio);
+        if acohpsk.ratio > max_ratio
+          max_ratio   = acohpsk.ratio;
+          f_est       = acohpsk.f_est - acohpsk.f_fine_est;
+          next_sync   = anext_sync;
+        end
+      end
+    end
+
+    if next_sync == 1
+
+      % we've found a sync candidate!
+      % re-process last two frames with adjusted f_est then check again
+
+      acohpsk.f_est = f_est;
+
+      printf("  [%d] trying sync and f_est: %f\n", f, acohpsk.f_est);
+
+      [ch_symb rx_timing rx_filt rx_baseband afdmdv f_est] = rate_Fs_rx_processing(afdmdv, ch_fdm_frame_buf, acohpsk.f_est, Nsw*acohpsk.Nsymbrowpilot, nin, 0);
+      rx_baseband_log = [rx_baseband_log rx_baseband];
+      rx_filt_log = [rx_filt_log rx_filt];
+      ch_symb_log = [ch_symb_log; ch_symb];
+      rx_timing_log = [rx_timing_log rx_timing];
+
+      for i=1:Nsw-1
+        acohpsk.ct_symb_buf = update_ct_symb_buf(acohpsk.ct_symb_buf, ch_symb((i-1)*acohpsk.Nsymbrowpilot+1:i*acohpsk.Nsymbrowpilot,:), acohpsk.Nct_sym_buf, acohpsk.Nsymbrowpilot);
+      end
+      [next_sync acohpsk] = frame_sync_fine_freq_est(acohpsk, ch_symb((Nsw-1)*acohpsk.Nsymbrowpilot+1:Nsw*acohpsk.Nsymbrowpilot,:), sync, next_sync);
+      if abs(acohpsk.f_fine_est) > 2
+        printf("  [%d] Hmm %f is a bit big so back to coarse est ...\n", f, acohpsk.f_fine_est);
+        next_sync = 0;
+      end
+
+      if acohpsk.ratio < 0.9
+        next_sync = 0;
+      end
+      if next_sync == 1
+        % OK we are in sync!
+        % demodulate first frame (demod completed below)
+
+        printf("  [%d] in sync! f_est: %f ratio: %f \n", f, f_est, acohpsk.ratio);
+        acohpsk.ct_symb_ff_buf(1:acohpsk.Nsymbrowpilot+2,:) = acohpsk.ct_symb_buf(acohpsk.ct+1:acohpsk.ct+acohpsk.Nsymbrowpilot+2,:);
+      end
+    end  
+  end
+
+  % If in sync just do sample rate processing on latest frame
+
+  if sync == 1
+    [ch_symb rx_timing rx_filt rx_baseband afdmdv acohpsk.f_est] = rate_Fs_rx_processing(afdmdv, ch_fdm_frame, acohpsk.f_est, acohpsk.Nsymbrowpilot, nin, acohpsk.ftrack_en);
+    [next_sync acohpsk] = frame_sync_fine_freq_est(acohpsk, ch_symb, sync, next_sync);
+
+    acohpsk.ct_symb_ff_buf(1:2,:) = acohpsk.ct_symb_ff_buf(acohpsk.Nsymbrowpilot+1:acohpsk.Nsymbrowpilot+2,:);
+    acohpsk.ct_symb_ff_buf(3:acohpsk.Nsymbrowpilot+2,:) = acohpsk.ct_symb_buf(acohpsk.ct+3:acohpsk.ct+acohpsk.Nsymbrowpilot+2,:);
+
+    rx_baseband_log = [rx_baseband_log rx_baseband];
+    rx_filt_log = [rx_filt_log rx_filt];
+    ch_symb_log = [ch_symb_log; ch_symb];     
+    rx_timing_log = [rx_timing_log rx_timing];
+    f_est_log = [f_est_log acohpsk.f_est];
+  end
+
+  % if we are in sync complete demodulation with symbol rate processing
+
+  if (next_sync == 1) || (sync == 1)
+    [rx_symb rx_bits rx_symb_linear amp_ phi_ sig_rms noise_rms] = qpsk_symbols_to_bits(acohpsk, acohpsk.ct_symb_ff_buf);
+    rx_symb_log = [rx_symb_log; rx_symb];
+    rx_amp_log = [rx_amp_log; amp_];
+    rx_phi_log = [rx_phi_log; phi_];
+    rx_bits_log = [rx_bits_log rx_bits];
+    tx_bits_prev_log = [tx_bits_prev_log prev_tx_bits2];
+    ratio_log = [ratio_log acohpsk.ratio];
+    ct_symb_ff_log = [ct_symb_ff_log; acohpsk.ct_symb_ff_buf(1:acohpsk.Nsymbrowpilot,:)];
+    sig_rms_log = [sig_rms_log sig_rms];
+    noise_rms_log = [noise_rms_log noise_rms];
+    noise_rms_filt = 0.9*noise_rms_filt + 0.1*noise_rms;
+    noise_rms_filt_log = [noise_rms_filt_log noise_rms_filt];
+
+    % BER stats
+
+    if f > 2
+      error_positions = xor(tx_bits_log((f-3)*framesize+1:(f-2)*framesize), rx_bits);
+      Nerrs  += sum(error_positions);
+      nerr_log = [nerr_log sum(error_positions)];
+      Tbits += length(error_positions);
+      error_positions_hist += error_positions;
+    end
+    printf("\r  [%d]", f);
+  end
+
+  % reset BER stats if we lose sync
+
+  if sync == 1
+    %Nerrs = 0;
+    %Tbits = 0;
+    %nerr_log = [];
+  end
+
+  [sync acohpsk] = sync_state_machine(acohpsk, sync, next_sync);
+
+  % work out how many samples we need for next time
+
+  nin = M;
+  if sync == 1
+    if rx_timing(length(rx_timing)) > M/P
+      nin = M + M/P;
+    end
+    if rx_timing(length(rx_timing)) < -M/P
+      nin = M - M/P;
+    end
+  end
+  nin_frame = (acohpsk.Nsymbrowpilot-1)*M + nin;
+
+  prev_tx_bits2 = prev_tx_bits;
+  prev_tx_bits = tx_bits;
+
+end
+
+ber = Nerrs/Tbits;
+printf("\nOctave EsNodB: %4.1f ber..: %4.3f Nerrs..: %d Tbits..: %d\n", EsNodB, ber, Nerrs, Tbits);
+
+if compare_with_c
+
+  % Output vectors from C port ---------------------------------------------------
+
+  load tcohpsk_out.txt
+
+  % Determine bit error rate
+
+  
+  sz = length(rx_bits_log_c);
+  Nerrs_c = sum(xor(tx_bits_log(1:sz-framesize), rx_bits_log_c(framesize+1:sz)));
+  Tbits_c = length(tx_bits_prev_log);
+  ber_c = Nerrs_c/Tbits_c;
+  printf("C EsNodB.....: %4.1f ber_c: %4.3f Nerrs_c: %d Tbits_c: %d\n", EsNodB, ber_c, Nerrs_c, Tbits_c);
+  
+  stem_sig_and_error(1, 111, tx_bits_log_c, tx_bits_log - tx_bits_log_c, 'tx bits', [1 length(tx_bits_log) -1.5 1.5])
+  
+  stem_sig_and_error(2, 211, real(tx_symb_log_c), real(tx_symb_log - tx_symb_log_c), 'tx symb re', [1 length(tx_symb_log_c) -1.5 1.5])
+  stem_sig_and_error(2, 212, imag(tx_symb_log_c), imag(tx_symb_log - tx_symb_log_c), 'tx symb im', [1 length(tx_symb_log_c) -1.5 1.5])
+
+  stem_sig_and_error(3, 211, real(tx_fdm_frame_log_c), real(tx_fdm_frame_log - tx_fdm_frame_log_c), 'tx fdm frame re', [1 length(tx_fdm_frame_log) -10 10])
+  stem_sig_and_error(3, 212, imag(tx_fdm_frame_log_c), imag(tx_fdm_frame_log - tx_fdm_frame_log_c), 'tx fdm frame im', [1 length(tx_fdm_frame_log) -10 10])
+  stem_sig_and_error(4, 211, real(ch_fdm_frame_log_c), real(ch_fdm_frame_log - ch_fdm_frame_log_c), 'ch fdm frame re', [1 length(ch_fdm_frame_log) -10 10])
+  stem_sig_and_error(4, 212, imag(ch_fdm_frame_log_c), imag(ch_fdm_frame_log - ch_fdm_frame_log_c), 'ch fdm frame im', [1 length(ch_fdm_frame_log) -10 10])
+
+  c = 1;
+  stem_sig_and_error(5, 211, real(rx_baseband_log_c(c,:)), real(rx_baseband_log(c,:) - rx_baseband_log_c(c,:)), 'rx baseband re', [1 length(rx_baseband_log) -10 10])
+  stem_sig_and_error(5, 212, imag(rx_baseband_log_c(c,:)), imag(rx_baseband_log(c,:) - rx_baseband_log_c(c,:)), 'rx baseband im', [1 length(rx_baseband_log) -10 10])
+  stem_sig_and_error(6, 211, real(rx_filt_log_c(c,:)), real(rx_filt_log(c,:) - rx_filt_log_c(c,:)), 'rx filt re', [1 length(rx_filt_log) -1 1])
+  stem_sig_and_error(6, 212, imag(rx_filt_log_c(c,:)), imag(rx_filt_log(c,:) - rx_filt_log_c(c,:)), 'rx filt im', [1 length(rx_filt_log) -1 1])
+
+  [n m] = size(ch_symb_log);
+  stem_sig_and_error(7, 211, real(ch_symb_log_c), real(ch_symb_log - ch_symb_log_c), 'ch symb re', [1 n -1.5 1.5])
+  stem_sig_and_error(7, 212, imag(ch_symb_log_c), imag(ch_symb_log - ch_symb_log_c), 'ch symb im', [1 n -1.5 1.5])
+
+  [n m] = size(rx_symb_log);
+  stem_sig_and_error(8, 211, rx_amp_log_c, rx_amp_log - rx_amp_log_c, 'Amp Est', [1 n -1.5 1.5])
+  phi_log_diff = rx_phi_log - rx_phi_log_c;
+  phi_log_diff(find(phi_log_diff > pi)) -= 2*pi;
+  phi_log_diff(find(phi_log_diff < -pi)) += 2*pi;
+  stem_sig_and_error(8, 212, rx_phi_log_c, phi_log_diff, 'Phase Est', [1 n -4 4])
+  stem_sig_and_error(9, 211, real(rx_symb_log_c), real(rx_symb_log - rx_symb_log_c), 'rx symb re', [1 n -1.5 1.5])
+  stem_sig_and_error(9, 212, imag(rx_symb_log_c), imag(rx_symb_log - rx_symb_log_c), 'rx symb im', [1 n -1.5 1.5])
+
+  stem_sig_and_error(10, 111, rx_bits_log_c, rx_bits_log - rx_bits_log_c, 'rx bits', [1 length(rx_bits_log) -1.5 1.5])
+  stem_sig_and_error(11, 111, f_est_log_c - Fcentre - foff, f_est_log - f_est_log_c, 'f est', [1 length(f_est_log) -5 5])
+  stem_sig_and_error(12, 111, rx_timing_log_c, rx_timing_log_c - rx_timing_log, 'rx timing', [1 length(rx_timing_log) -M M])
+
+  check(tx_bits_log, tx_bits_log_c, 'tx_bits');
+  check(tx_symb_log, tx_symb_log_c, 'tx_symb');
+  check(tx_fdm_frame_log, tx_fdm_frame_log_c, 'tx_fdm_frame',0.01);
+  check(ch_fdm_frame_log, ch_fdm_frame_log_c, 'ch_fdm_frame',0.01);
+  check(ch_symb_log, ch_symb_log_c, 'ch_symb',0.05);
+  check(rx_amp_log, rx_amp_log_c, 'rx_amp_log',0.01);
+  check(phi_log_diff, zeros(length(phi_log_diff), Nc*Nd), 'rx_phi_log',0.1);
+  check(rx_symb_log, rx_symb_log_c, 'rx_symb',0.01);
+  check(rx_timing_log, rx_timing_log_c, 'rx_timing',0.005);
+  check(rx_bits_log, rx_bits_log_c, 'rx_bits');
+  check(f_est_log, f_est_log_c, 'f_est');
+  check(sig_rms_log, sig_rms_log_c, 'sig_rms');
+  check(noise_rms_log, noise_rms_log_c, 'noise_rms');
+  
+  printf("\npasses: %d fails: %d\n", passes, fails);
+
+else
+  
+  papr = max(tx_fdm_frame_log.*conj(tx_fdm_frame_log)) / mean(tx_fdm_frame_log.*conj(tx_fdm_frame_log));
+  papr_dB = 10*log10(papr);
+  printf("av tx pwr: %4.2f PAPR: %4.2f av rx pwr: %4.2f\n", var(tx_fdm_frame_log), papr_dB, var(ch_fdm_frame_log));
+
+  % some other useful plots
+
+  f = figure(1)
+  clf
+  subplot(211)
+  plot(real(tx_fdm_frame_log))
+  title('tx fdm real');
+  subplot(212)
+  plot(imag(tx_fdm_frame_log))
+  title('tx fdm imag');
+
+  f = figure(2)
+  clf
+  spec = 20*log10(abs(fft(tx_fdm_frame_log)));
+  l = length(spec);
+  plot((Fs/l)*(1:l), spec)
+  axis([1 Fs/2 0 max(spec)]);
+  title('tx spectrum');
+  ylabel('Amplitude (dB)')
+  xlabel('Frequency (Hz)')
+  grid;
+
+  f = figure(3)
+  clf;
+  % plot combined signals to show diversity gains
+  combined = rx_symb_log(:,1:Nc);
+  for d=2:Nd
+    combined += rx_symb_log(:, (d-1)*Nc+1:d*Nc);
+  end
+  plot(combined*exp(j*pi/4)/sqrt(Nd),'+')
+  title('Scatter');
+  ymax = abs(max(max(combined)));
+  axis([-ymax ymax -ymax ymax])
+
+  f = figure(4)
+  clf;
+  subplot(211)
+  plot(rx_phi_log)
+  subplot(212)
+  plot(rx_amp_log)
+
+  f = figure(5)
+  clf;
+  subplot(211)
+  plot(rx_timing_log)
+  title('rx timing');
+  subplot(212)
+  stem(ratio_log)
+  title('Sync ratio');
+
+  f = figure(6)
+  clf;
+  subplot(211)
+  stem(nerr_log)
+  title('Bit Errors');
+  subplot(212)
+  plot(noise_rms_filt_log,'r', sig_rms_log,'g');
+  title('Est rms signal and noise')
+
+  f = figure(7);
+  clf;
+  subplot(211)
+  plot(foff_log,';freq offset;');
+  hold on;
+  plot(f_est_log - Fcentre,'g;freq offset est;');
+  hold off;
+  title('freq offset');
+  legend("boxoff");  
+  subplot(212)
+  plot(foff_log(1:length(f_est_log)) - f_est_log + Fcentre)
+  title('freq offset estimation error');
+
+  f = figure(8)
+  clf
+  h = freqz(b,a,Fs/2);
+  plot(20*log10(abs(h)))
+  axis([1 Fs/2 -20 0])
+  grid
+  title('SSB tx filter')
+
+  f = figure(9)
+  clf
+  plot(error_positions_hist)    
+  title('histogram of bit errors')                               
+
+  
+end
+
+
+% function to write C header file of noise samples so C version gives
+% exactly the same results
+
+function write_noise_file(uvnoise_log)
+
+  m = length(uvnoise_log);
+
+  filename = sprintf("../unittest/noise_samples.h");
+  f=fopen(filename,"wt");
+  fprintf(f,"/* unit variance complex noise samples */\n\n");
+  fprintf(f,"/* Generated by write_noise_file() Octave function */\n\n");
+  fprintf(f,"COMP noise[]={\n");
+  for r=1:m
+    if r < m
+      fprintf(f, "  {%f,%f},\n", real(uvnoise_log(r)), imag(uvnoise_log(r)));
+    else
+      fprintf(f, "  {%f,%f}\n};", real(uvnoise_log(r)), imag(uvnoise_log(r)));
+    end
+  end
+
+  fclose(f);
+endfunction
+
+
+% function to write float fading samples for use by C programs
+
+%function write_noise_file(raw_file_name, Fs, dopplerSpreadHz, len_samples)
+%  spread = doppler_spread(dopplerSpreadHz, Fs, len_samples);
+%  spread_2ms = doppler_spread(dopplerSpreadHz, Fs, len_samples);
+%  hf_gain = 1.0/sqrt(var(spread)+var(spread_2ms));
+%
+%  % interleave real imag samples
+%
+%  inter = zeros(1,len_samples*4);
+%  inter(1:4) = hf_gain;
+%  for i=1:len_samples
+%    inter(i*4+1) = real(spread(i));
+%    inter(i*4+2) = imag(spread(i));
+%    inter(i*4+3) = real(spread_2ms(i));
+%    inter(i*4+4) = imag(spread_2ms(i));
+%  end
+%  f = fopen(raw_file_name,"wb");
+%  fwrite(f, inter, "float32");
+%  fclose(f);
+%endfunction
diff --git a/octave/tdetphase.m b/octave/tdetphase.m
new file mode 100644
index 0000000..8d7f96c
--- /dev/null
+++ b/octave/tdetphase.m
@@ -0,0 +1,84 @@
+% tdetphase.m
+% David Rowe August 2017
+%
+% Testing Hilbert Transform recover of phase from magnitude spectra
+
+newamp;
+Fs = 8000;
+
+w = 2*pi*500/Fs; gamma = 0.95
+ak = [1 -2*gamma*cos(w) gamma*gamma];
+Nfft = 512;
+
+% Test 1 - compare phase from freqz for 2nd order system (all pole filter)
+%        - uses internal test of determine_phase()
+
+h = freqz(1,ak,Nfft/2);
+
+% note dummy_model not used, as determine_phase() is used in test mode
+
+L = 20; Wo = pi/(L+1);
+dummy_model = [Wo L ones(1,L)];
+phase = determine_phase(dummy_model, 1, Nfft, ak);
+
+fg = 1;
+figure(fg++); clf;
+subplot(211); plot(20*log10(abs(h))); title('test 1');
+subplot(212); plot(angle(h)); hold on; plot(phase(1:Nfft/2),'g'); hold off;
+
+% Test 2 - feed in harmonic magnitudes
+
+F0 = 100; Wo = 2*pi*F0/Fs; L = floor(pi/Wo);
+Am = zeros(1,L);
+for m=1:L
+  b = round(m*Wo*Nfft/(2*pi));
+  Am(m) = abs(h(b));
+end
+AmdB = 20*log10(Am);
+model = [Wo L Am];
+[phase Gdbfk s] = determine_phase(model, 1, Nfft);
+
+fftx = (1:Nfft/2)*(Fs/Nfft);
+harmx = (1:L)*Wo*Fs/(2*pi);
+
+figure(fg++); clf;
+subplot(211); plot(fftx, Gdbfk(1:Nfft/2));
+subplot(212); plot(s(1:Nfft/2))
+
+figure(fg++); clf;
+subplot(211); plot(fftx, 20*log10(abs(h)));
+              hold on; plot(harmx, AmdB, 'g+'); plot(fftx, Gdbfk(1:Nfft/2), 'r'); hold off;
+subplot(212); plot(fftx, angle(h)); hold on; plot(fftx, phase(1:Nfft/2),'g'); hold off;
+
+% Test 3 - Use real harmonic amplitudes
+
+model = load("../build_linux/src/hts1a_model.txt");
+phase_orig = load("../build_linux/src/hts1a_phase.txt");
+
+f = 184;
+Wo = model(f,1); L = model(f,2); Am = model(f,3:L+2); AmdB = 20*log10(Am);
+[phase Gdbfk s] = determine_phase(model, f, Nfft);
+
+fftx = (1:Nfft/2)*(Fs/Nfft);
+harmx = (1:L)*Wo*Fs/(2*pi);
+
+figure(fg++); clf;
+subplot(211); plot(fftx, Gdbfk(1:Nfft/2));
+subplot(212); plot(s(1:Nfft/2))
+
+figure(fg++); clf;
+subplot(211); plot(harmx, AmdB, 'g+');
+              hold on; plot(fftx, Gdbfk(1:Nfft/2), 'r'); hold off;
+subplot(212); plot(fftx, phase(1:Nfft/2),'g');
+
+% synthesise using phases
+
+N = 320;
+s = s_phase = zeros(1,N);
+for m=1:L/4
+  s = s + Am(m)*cos(m*Wo*(1:N) + phase_orig(f,m));
+  b = round(m*Wo*Nfft/(2*pi));
+  s_phase = s_phase + Am(m)*cos(m*Wo*(1:N) + phase(b));
+end
+figure(fg++); clf;
+subplot(211); plot(s); subplot(212); plot(s_phase,'g');
diff --git a/octave/test_dqpsk2.m b/octave/test_dqpsk2.m
new file mode 100644
index 0000000..d421d62
--- /dev/null
+++ b/octave/test_dqpsk2.m
@@ -0,0 +1,465 @@
+% test_dqpsk2.m
+% David Rowe April 2014
+%
+% DQPSK modem simulation inclduing filtering to test modulating modem
+% tx power based on speech energy.  Unlike test_dpsk runs at sample
+% rate Fs.
+
+1;
+
+% main test function 
+
+function sim_out = ber_test(sim_in)
+    Fs = 8000;
+
+    verbose          = sim_in.verbose;
+    framesize        = sim_in.framesize;
+    Ntrials          = sim_in.Ntrials;
+    Esvec            = sim_in.Esvec;
+    phase_offset     = sim_in.phase_offset;
+    w_offset         = sim_in.w_offset;
+    plot_scatter     = sim_in.plot_scatter;
+    Rs               = sim_in.Rs;
+    hf_sim           = sim_in.hf_sim;
+    Nhfdelay         = floor(sim_in.hf_delay_ms*Fs/1000);
+    Nc               = sim_in.Nc;
+    symbol_amp       = sim_in.symbol_amp;
+
+    bps              = 2;
+    Nsymb            = framesize/bps;
+    for k=1:Nc
+      prev_sym_tx(k) = qpsk_mod([0 0]);
+      prev_sym_rx(k) = qpsk_mod([0 0]);
+    end
+
+    % design root nyquist (root raised cosine) filter and init tx and rx filter states
+
+    alpha = 0.5; T=1/Fs; Nfiltsym=7; M=Fs/Rs;
+    if floor(Fs/Rs) != Fs/Rs
+        printf("oversampling ratio must be an integer\n");
+        return;
+    end
+    hrn = gen_rn_coeffs(alpha, T, Rs, Nfiltsym, M);
+    Nfilter = length(hrn);
+
+    % convert "spreading" samples from 1kHz carrier at Fs to complex
+    % baseband, generated by passing a 1kHz sine wave through PathSim
+    % with the ccir-poor model, enabling one path at a time.
+    
+    Fc = 1000;
+    fspread = fopen("../raw/sine1k_2Hz_spread.raw","rb");
+    spread1k = fread(fspread, "int16")/10000;
+    fclose(fspread);
+    fspread = fopen("../raw/sine1k_2ms_delay_2Hz_spread.raw","rb");
+    spread1k_2ms = fread(fspread, "int16")/10000;
+    fclose(fspread);
+
+    % down convert to complex baseband
+    spreadbb = spread1k.*exp(-j*(2*pi*Fc/Fs)*(1:length(spread1k))');
+    spreadbb_2ms = spread1k_2ms.*exp(-j*(2*pi*Fc/Fs)*(1:length(spread1k_2ms))');
+
+    % remove -2000 Hz image
+    b = fir1(50, 5/Fs);
+    spread = filter(b,1,spreadbb);
+    spread_2ms = filter(b,1,spreadbb_2ms);
+
+    % discard first 1000 samples as these were near 0, probably as
+    % PathSim states were ramping up.  Transpose for convenience
+
+    spread     = transpose(spread(1000:length(spread)));
+    spread_2ms = transpose(spread_2ms(1000:length(spread_2ms)));
+
+    % Determine "gain" of HF channel model, so we can normalise
+    % carrier power during HF channel sim to calibrate SNR.  I imagine
+    % different implementations of ccir-poor would do this in
+    % different ways, leading to different BER results.  Oh Well!
+
+    hf_gain = 1.0/sqrt(var(spread)+var(spread_2ms));
+        
+    % Start Simulation ----------------------------------------------------------------
+
+    for ne = 1:length(Esvec)
+        EsNodB = Esvec(ne);
+        EsNo = 10^(EsNodB/10);
+    
+        variance = Fs/(Rs*EsNo);
+         if verbose > 1
+            printf("EsNo (dB): %f EsNo: %f variance: %f\n", EsNodB, EsNo, variance);
+        end
+        
+        Terrs = 0;  Tbits = 0;
+
+        tx_symb_log             = [];
+        rx_symb_log             = [];
+        noise_log               = [];
+        sim_out.errors_log      = [];
+        sim_out.tx_baseband_log = [];
+        sim_out.rx_filt_log     = [];
+        symbol_amp_index        = 1;
+       
+        % init filter memories and LOs
+
+        tx_filter_memory  = zeros(Nc, Nfilter);
+        rx_filter_memory  = zeros(Nc, Nfilter);
+        s_delay_line_filt = zeros(Nc, Nfiltsym);
+        phase_tx = ones(1,Nc);
+        phase_rx = ones(1,Nc);
+        Fcentre = 1500; Fsep = (1+alpha)*Rs;
+        freq = Fcentre + Fsep*((-Nc/2+0.5):(Nc/2-0.5));
+        freq = exp(j*freq*2*pi/Fs);
+
+        % init HF channel
+
+        sc = 1; hf_n = 1;
+        hf_sim_delay_line = zeros(1,M+Nhfdelay);
+        freq_sample_hz = Fcentre + ((Fsep*(-Nc/2)):50:(Fsep*(Nc/2)));
+        freq_sample_rads = (2*pi/Fs)*freq_sample_hz;
+        hf_model = ones(Ntrials*Nsymb/Nc, length(freq_sample_rads));   % defaults for plotting surface
+
+        % bunch of outputs we log for graphing
+
+        sim_out.errors_log = [];
+        sim_out.Nerrs = [];
+        sim_out.snr_log = [];
+        sim_out.hf_model_pwr = [];
+        sim_out.tx_fdm_log = [];
+        C_log = [];
+
+        for nn = 1: Ntrials
+                  
+            tx_bits = round( rand( 1, framesize ) );
+ 
+            % modulate --------------------------------------------
+
+            s = zeros(1, Nsymb);
+            for i=1:Nc:Nsymb
+              for k=1:Nc
+                tx_symb = qpsk_mod(tx_bits(2*(i-1+k-1)+1:2*(i+k-1)));
+                s_qpsk(i+k-1) = tx_symb;
+                tx_symb *= prev_sym_tx(k);
+                prev_sym_tx(k) = tx_symb;
+                s(i+k-1) = symbol_amp(symbol_amp_index)*tx_symb;
+              end
+            end
+            symbol_amp_index++;
+            s_ch = s;
+
+            % Now we start processing frame Nc symbols at a time to model parallel carriers
+
+            tx_fdm_sym_log = [];
+            for i=1:Nc:Nsymb
+
+                % Delay tx symbols to match delay due to filters. qpsk
+                % (rather than dqpsk) symbols used for convenience as
+                % it's easy to shift symbols than pairs of bits
+
+                s_delay_line_filt(:,1:Nfiltsym-1) = s_delay_line_filt(:,2:Nfiltsym);
+                s_delay_line_filt(:,Nfiltsym) = s_qpsk(i:i+Nc-1);
+                s_qpsk(i:i+Nc-1) = s_delay_line_filt(:,1);  
+                for k=1:Nc
+                    tx_bits(2*(i-1+k-1)+1:2*(i+k-1)) = qpsk_demod(s_qpsk(i+k-1));
+                end
+
+                % tx filter
+
+                tx_baseband = zeros(Nc,M);
+
+                % tx filter each symbol, generate M filtered output samples for each symbol.
+                % Efficient polyphase filter techniques used as tx_filter_memory is sparse
+
+                tx_filter_memory(:,Nfilter) = s(i:i+Nc-1);
+
+                for k=1:M
+                    tx_baseband(:,k) = M*tx_filter_memory(:,M:M:Nfilter) * hrn(M-k+1:M:Nfilter)';
+                end
+                tx_filter_memory(:,1:Nfilter-M) = tx_filter_memory(:,M+1:Nfilter);
+                tx_filter_memory(:,Nfilter-M+1:Nfilter) = zeros(Nc,M);
+
+                sim_out.tx_baseband_log = [sim_out.tx_baseband_log  tx_baseband];
+
+                % upconvert
+ 
+                tx_fdm = zeros(1,M);
+
+                for c=1:Nc
+                    for k=1:M
+                        phase_tx(c) = phase_tx(c) * freq(c);
+	                tx_fdm(k) = tx_fdm(k) + tx_baseband(c,k)*phase_tx(c);
+                    end
+                end
+ 
+                sim_out.tx_fdm_log = [sim_out.tx_fdm_log tx_fdm];
+ 
+                % HF channel
+                
+                if hf_sim
+                   hf_sim_delay_line(1:Nhfdelay) = hf_sim_delay_line(M+1:M+Nhfdelay);
+                   hf_sim_delay_line(Nhfdelay+1:M+Nhfdelay) = tx_fdm;
+
+                   tx_fdm = tx_fdm.*spread(sc:sc+M-1) + hf_sim_delay_line(1:M).*spread_2ms(sc:sc+M-1);
+                   tx_fdm *= hf_gain;
+
+                   % sample HF channel spectrum in middle of this symbol for plotting
+
+                   hf_model(hf_n,:) = hf_gain*(spread(sc+M/2) + exp(-j*freq_sample_rads*Nhfdelay)*spread_2ms(sc+M/2));
+
+                   sc += M;
+                   hf_n++;
+                end
+
+                tx_fdm_sym_log = [tx_fdm_sym_log tx_fdm ];
+
+                % AWGN noise and phase/freq offset channel simulation
+                % 0.5 factor ensures var(noise) == variance , i.e. splits power between Re & Im
+
+                noise = sqrt(variance*0.5)*(randn(1,M) + j*randn(1,M));
+                noise_log = [noise_log noise];
+
+                % apply frequency and phase offset and noise
+
+                for k=1:M
+                    rx_fdm(k) = tx_fdm(k)*exp(j*phase_offset) + noise(k);
+                    phase_offset += w_offset;
+                end
+
+                % downconvert
+
+                rx_baseband = zeros(Nc,M);
+                for c=1:Nc
+                    for k=1:M
+                        phase_rx(c) = phase_rx(c) * freq(c);
+	                rx_baseband(c,k) = rx_fdm(k)*phase_rx(c)';
+                    end
+                end
+
+                % rx filter
+
+                rx_filter_memory(:,Nfilter-M+1:Nfilter) = rx_baseband;
+                rx_filt = rx_filter_memory * hrn';
+                rx_filter_memory(:,1:Nfilter-M) = rx_filter_memory(:,1+M:Nfilter);
+                sim_out.rx_filt_log = [sim_out.rx_filt_log rx_filt];
+
+                s_ch(i:i+Nc-1) = rx_filt;
+            end
+
+            % est HF model power for entire code frame (which could be several symbols)
+
+            if hf_sim
+              frame_hf_model = reshape(hf_model(hf_n-Nsymb/Nc:hf_n-1,:),1,(Nsymb/Nc)*length(freq_sample_hz));                       
+              sim_out.hf_model_pwr = [sim_out.hf_model_pwr mean(abs(frame_hf_model).^2)];
+            else 
+              sim_out.hf_model_pwr = [sim_out.hf_model_pwr 1];
+            end
+
+            % "genie" SNR estimate 
+            
+            snr = (tx_fdm_sym_log*tx_fdm_sym_log')/(M*variance);
+            sim_out.snr_log = [sim_out.snr_log snr];
+  
+            % de-modulate
+
+            rx_bits = zeros(1, framesize);
+            for i=1:Nc:Nsymb
+              for k=1:Nc
+                rx_symb = s_ch(i+k-1);
+                tmp = rx_symb;
+                rx_symb *= conj(prev_sym_rx(k)/abs(prev_sym_rx(k)));
+                prev_sym_rx(k) = tmp;
+                rx_bits((2*(i-1+k-1)+1):(2*(i+k-1))) = qpsk_demod(rx_symb);
+                rx_symb_log = [rx_symb_log rx_symb];
+              end
+            end
+
+            % ignore data until we have enough frames to fill filter memory
+            % then count errors
+
+            if nn > ceil(Nfiltsym/(Nsymb/Nc))
+                error_positions = xor(rx_bits, tx_bits);
+                sim_out.errors_log = [sim_out.errors_log error_positions];
+                Nerrs = sum(error_positions);
+                sim_out.Nerrs = [sim_out.Nerrs Nerrs];
+                Terrs += Nerrs;
+                Tbits += length(tx_bits);
+            end
+
+        end
+
+        TERvec(ne) = Terrs;
+        BERvec(ne) = Terrs/Tbits;
+
+        if verbose 
+            printf("EsNo (dB): %f  Terrs: %d BER %f ", EsNodB, Terrs, Terrs/Tbits);
+            printf("\n");
+        end
+        if verbose > 1
+            printf("Terrs: %d BER %f C %f N %f Es %f No %f Es/No %f\n\n", Terrs,
+                   Terrs/Tbits, var(sim_out.tx_fdm_log), var(noise_log),
+                   var(sim_out.tx_fdm_log)/(Nc*Rs), var(noise_log)/Fs, (var(sim_out.tx_fdm_log)/(Nc*Rs))/(var(noise_log)/Fs));
+        end
+    end
+    
+    Ebvec = Esvec - 10*log10(bps);
+
+    sim_out.BERvec = BERvec;
+    sim_out.Ebvec  = Ebvec;
+    sim_out.TERvec = TERvec;
+
+    if plot_scatter
+        figure(2);
+        clf;
+        scat = rx_symb_log(Nfiltsym*Nc:length(rx_symb_log)) .* exp(j*pi/4);
+        plot(real(scat), imag(scat),'+');
+        title('Scatter plot');
+
+        figure(3);
+        clf;        
+        y = 1:Rs*2;
+        EsNodBSurface = 20*log10(abs(hf_model(y,:))) + EsNodB;
+        mesh(1:length(freq_sample_hz),y,EsNodBSurface);
+        grid
+        title('HF Channel Es/No');
+    end
+
+endfunction
+
+% Gray coded QPSK modulation function
+
+function symbol = qpsk_mod(two_bits)
+    two_bits_decimal = sum(two_bits .* [2 1]); 
+    switch(two_bits_decimal)
+        case (0) symbol =  1;
+        case (1) symbol =  j;
+        case (2) symbol = -j;
+        case (3) symbol = -1;
+    endswitch
+endfunction
+
+% Gray coded QPSK demodulation function
+
+function two_bits = qpsk_demod(symbol)
+    if isscalar(symbol) == 0
+        printf("only works with scalars\n");
+        return;
+    end
+    bit0 = real(symbol*exp(j*pi/4)) < 0;
+    bit1 = imag(symbol*exp(j*pi/4)) < 0;
+    two_bits = [bit1 bit0];
+endfunction
+
+function sim_in = standard_init
+  sim_in.verbose          = 1;
+  sim_in.plot_scatter     = 0;
+
+  sim_in.Esvec            = 5:15; 
+  sim_in.Ntrials          = 100;
+  sim_in.framesize        = 64;
+  sim_in.Rs               = 100;
+  sim_in.Nc               = 8;
+
+  sim_in.phase_offset     = 0;
+  sim_in.w_offset         = 0;
+  sim_in.phase_noise_amp  = 0;
+
+  sim_in.hf_delay_ms      = 2;
+  sim_in.hf_sim           = 0;
+  sim_in.hf_phase_only    = 0;
+  sim_in.hf_mag_only      = 0;
+endfunction
+
+function awgn_hf_ber_curves()
+  sim_in = standard_init();
+
+  Ebvec = sim_in.Esvec - 10*log10(2);
+  BER_theory = 0.5*erfc(sqrt(10.^(Ebvec/10)));
+
+  dpsk_awgn = ber_test(sim_in);
+  sim_in.hf_sim           = 1;
+  dpsk_hf   = ber_test(sim_in);
+
+  figure(1); 
+  clf;
+  semilogy(Ebvec, BER_theory,'r;QPSK theory;')
+  hold on;
+  semilogy(dpsk_awgn.Ebvec, dpsk_awgn.BERvec,'g;DQPSK;')
+  semilogy(dpsk_hf.Ebvec, dpsk_hf.BERvec,'g;DQPSK HF;')
+  hold off;
+  xlabel('Eb/N0')
+  ylabel('BER')
+  grid("minor")
+  axis([min(Ebvec) max(Ebvec) 1E-3 1])
+end
+
+sim_in = standard_init();
+
+% energy file sampled every 10ms
+
+load ../src/ve9qrp.txt
+pdB=10*log10(ve9qrp);
+for i=1:length(pdB)
+  if pdB(i) < 0
+    pdB(i) = 0;
+  end
+end
+
+% Down sample to 40ms rate used for 1300 bit/s codec, every 4th sample is transmitted
+
+pdB = pdB(4:4:length(pdB));
+
+% Use linear mapping function in dB domain to map to symbol power
+
+%power_map_x  = [ 0 20 24 40 50 ];
+%power_map_y  = [--6 -6  0  6  6];
+power_map_x  = [ 0 50 ];
+power_map_y  = [ -15 12];
+mapped_pdB = interp1(power_map_x, power_map_y, pdB);
+
+sim_in.symbol_amp = 10 .^ (mapped_pdB/20);
+%sim_in.symbol_amp = ones(1,length(pdB));
+sim_in.plot_scatter = 1;
+sim_in.verbose      = 2;
+sim_in.hf_delay_ms  = 2;
+sim_in.hf_sim       = 1;
+sim_in.Esvec        = 10;
+sim_in.Ntrials      = 400;
+
+dqpsk_pwr_hf = ber_test(sim_in);
+
+% note: need way to test that power is aligned with speech
+
+figure(4)
+clf;
+plot((1:sim_in.Ntrials)*80*4, pdB(1:sim_in.Ntrials));
+hold on;
+plot((1:sim_in.Ntrials)*80*4, mapped_pdB(1:sim_in.Ntrials),'r');
+hold off;
+
+figure(5)
+clf;
+s = load_raw("../raw/ve9qrp.raw");
+M=320; M_on_2 = M/2; % processing delay between input speech and centre of analysis window
+subplot(211)
+plot(M_on_2:(M_on_2-1+sim_in.Ntrials*M),s(1:sim_in.Ntrials*M))
+hold on;
+plot((1:sim_in.Ntrials)*M, 5000*sim_in.symbol_amp(1:sim_in.Ntrials),'r');
+hold off;
+axis([1 sim_in.Ntrials*M -3E4 3E4]);
+subplot(212)
+plot(real(dqpsk_pwr_hf.tx_fdm_log));
+
+
+figure(6)
+clf;
+plot((1:sim_in.Ntrials)*M, 20*log10(sim_in.symbol_amp(1:sim_in.Ntrials)),'b;Es (dB);');
+hold on;
+plot((1:sim_in.Ntrials)*M, 10*log10(dqpsk_pwr_hf.hf_model_pwr),'g;Fading (dB);');
+plot((1:sim_in.Ntrials)*M, 10*log10(dqpsk_pwr_hf.snr_log),'r;Es/No (dB);');
+
+ber = dqpsk_pwr_hf.Nerrs/sim_in.framesize;
+ber_clip = ber;
+ber_clip(find(ber > 0.2)) = 0.2;
+plot((1:length(ber_clip))*M, -20+100*ber_clip,'k;BER (0-20%);');
+hold off;
+axis([1 sim_in.Ntrials*M -20 20])
+
+fep=fopen("dqpsk_errors_pwr.bin","wb"); fwrite(fep, dqpsk_pwr_hf.errors_log, "short"); fclose(fep);
+fber=fopen("ber.bin","wb"); fwrite(fber, ber, "float"); fclose(fber);
diff --git a/octave/test_ldpc_fsk_lib.m b/octave/test_ldpc_fsk_lib.m
new file mode 100644
index 0000000..0817888
--- /dev/null
+++ b/octave/test_ldpc_fsk_lib.m
@@ -0,0 +1,851 @@
+% test_ldpc_fsk_lib

+% David Rowe 16 April 2016

+%

+% A series of tests for ldpc_fsk_lib, and C versions ldpc_enc and ldpc_dec.

+% Gradually builds up complete C command line for SSTV balloon system,

+% using Octave versions of LDPC and FSK modem as reference points.

+

+1;

+

+% encodes and decodes one frame, also writes codeword.bin for testing

+% decode_from_file() below, and can optionally generate include file for

+% C version of decoder.

+

+function [data code_param] = simple_ut(c_include_file)

+  load('H2064_516_sparse.mat');

+  HRA = full(HRA);  

+  max_iterations = 100;

+  decoder_type = 0;

+  EsNodB = 3;

+  mod_order = 2;

+

+  code_param = ldpc_init(HRA, mod_order);

+  data = round( rand( 1, code_param.data_bits_per_frame ) );

+  codeword = ldpc_encode(code_param, data);

+  f = fopen("codeword.bin","wt"); fwrite(f, codeword, "uint8"); fclose(f);

+  s = 1 - 2 * codeword;   

+  code_param.symbols_per_frame = length( s );

+

+  EsNo = 10^(EsNodB/10);

+  variance = 1/(2*EsNo);

+  noise = sqrt(variance)* randn(1,code_param.symbols_per_frame); 

+  rx = s + noise;

+  

+  if nargin == 1

+    code_param.c_include_file = c_include_file;

+  end

+  [detected_data Niters] = ldpc_decode(rx, code_param, max_iterations, decoder_type);

+  

+  error_positions = xor(detected_data(1:code_param.data_bits_per_frame), data);

+  Nerrs = sum(error_positions);

+

+  printf("Nerrs = %d\n", Nerrs);

+end

+

+

+% This version decodes from a file of bits

+

+function detected_data = decode_from_file(filename)

+  max_iterations = 100;

+  decoder_type = 0;

+  load('H2064_516_sparse.mat');

+  HRA = full(HRA);  

+  mod_order = 2;

+

+  f = fopen(filename,"rb"); codeword = fread(f, "uint8")'; fclose(f);

+  r = 1 - 2 * codeword;   

+  code_param = ldpc_init(HRA, mod_order);

+  [detected_data Niters] = ldpc_decode(r, code_param, max_iterations, decoder_type);

+end

+

+

+% plots a BER curve for the LDPC decoder.  Takes a while to run, uses parallel cores

+

+function plot_curve

+  num_cores = 4;              % set this to the number of cores you have

+

+  load('H2064_516_sparse.mat');

+  HRA = full(HRA);  

+  [Nr Nc] = size(HRA); 

+  sim_in.rate = (Nc-Nr)/Nc;

+

+  sim_in.HRA            = HRA;

+  sim_in.mod_order      = 2;

+  sim_in.framesize      = Nc;

+  sim_in.mod_order      = 2; 

+  sim_in.Lim_Ferrs      = 100;

+

+  % note we increase number of trials as BER goes down

+

+  Esvec   = [   0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 ]; 

+  Ntrials = [ 1E4 1E4 1E4 1E4 1E5 1E5 1E5 1E5 1E5 ];

+  num_runs = length(Esvec)

+

+  sim_in_vec(1:num_runs) = sim_in;

+  for i = 1:num_runs

+    sim_in_vec(i).Esvec   = Esvec(i);

+    sim_in_vec(i).Ntrials = Ntrials(i);

+  end

+

+  %sim_out = ldpc5(sim_in_vec(1));

+  tstart = time();

+  sim_out = pararrayfun(num_cores, @ldpc5, sim_in_vec);

+  tend = time();

+

+  total_bits = sum(Ntrials)*sim_in.framesize;

+  total_secs = tend - tstart;

+  printf("%d bits in %4.1f secs, or %5f bits/s\n", total_bits, total_secs, total_bits/total_secs);

+

+  for i=1:num_runs

+    Ebvec(i)  = sim_out(i).Ebvec;

+    BERvec(i) = sim_out(i).BERvec;

+  end

+  semilogy(Ebvec,  BERvec, '+-')

+  xlabel('Eb/N0')

+  ylabel('BER')

+  title(['H2064 516 sparse.mat' ' ' date])

+

+end

+

+

+% Test C encoder

+

+function test_c_encoder

+  load('H2064_516_sparse.mat');

+  HRA = full(HRA);  

+  max_iterations = 100;

+  decoder_type = 0;

+  EsNodB = 3;

+  mod_order = 2;

+  frames = 100;

+

+  EsNo = 10^(EsNodB/10);

+  variance = 1/(2*EsNo);

+

+  code_param = ldpc_init(HRA, mod_order);

+

+  data = round(rand(1,frames*code_param.data_bits_per_frame));

+  f = fopen("data.bin","wt"); fwrite(f, data, "uint8"); fclose(f);

+

+  % Outboard C encoder

+

+  system("../src/ldpc_enc data.bin codewords.bin"); 

+

+  % Test with Octave decoder

+

+  f = fopen("codewords.bin","rb"); codewords = fread(f, "uint8")'; fclose(f);

+  

+  Nerrs = 0;

+  for i=1:frames

+    st = (i-1)*code_param.symbols_per_frame+1; en = st+code_param.symbols_per_frame-1;

+    tx = 1 - 2 * codewords(st:en);   

+

+    noise = sqrt(variance)*randn(1,code_param.symbols_per_frame); 

+    rx = tx + noise;

+

+    [detected_data Niters] = ldpc_decode(rx, code_param, max_iterations, decoder_type);

+

+    st = (i-1)*code_param.data_bits_per_frame+1; en = st+code_param.data_bits_per_frame-1;

+    error_positions = xor(detected_data(1:code_param.data_bits_per_frame), data(st:en));

+    Nerrs += sum(error_positions);

+  end

+

+  printf("Nerrs = %d\n", Nerrs);

+end

+

+

+function test_c_decoder

+  load('H2064_516_sparse.mat');

+  HRA = full(HRA);  

+  max_iterations = 100;

+  decoder_type = 0;

+  mod_order = 2;

+  frames = 10;

+  EsNodB = 2;

+  sdinput = 1;

+

+  EsNo = 10^(EsNodB/10);

+  variance = 1/(2*EsNo);

+

+  code_param = ldpc_init(HRA, mod_order);

+  data = round(rand(1,code_param.data_bits_per_frame*frames));

+  

+  f = fopen("data.bin","wt"); fwrite(f, data, "uint8"); fclose(f);

+  system("../src/ldpc_enc data.bin codewords.bin"); 

+  f = fopen("codewords.bin","rb"); codewords = fread(f, "uint8")'; fclose(f);

+

+  s = 1 - 2 * codewords;   

+  noise = sqrt(variance)*randn(1,code_param.symbols_per_frame*frames); 

+  r = s + noise;

+

+  % calc LLRs frame by frame

+

+  for i=1:frames

+    st = (i-1)*code_param.symbols_per_frame+1;

+    en = st + code_param.symbols_per_frame-1;

+    llr(st:en) = sd_to_llr(r(st:en));    

+  end

+

+  % Outboard C decoder

+

+  if sdinput

+    f = fopen("sd.bin","wb"); fwrite(f, r, "double"); fclose(f);

+    system("../src/ldpc_dec sd.bin data_out.bin --sd"); 

+  else

+    f = fopen("llr.bin","wb"); fwrite(f, llr, "double"); fclose(f);

+    system("../src/ldpc_dec llr.bin data_out.bin"); 

+  end

+

+  f = fopen("data_out.bin","rb"); data_out = fread(f, "uint8")'; fclose(f);

+  

+  Nerrs = Nerrs2 = zeros(1,frames);

+  for i=1:frames

+

+    % Check C decoder

+    

+    data_st = (i-1)*code_param.data_bits_per_frame+1;

+    data_en = data_st+code_param.data_bits_per_frame-1;

+    st = (i-1)*code_param.symbols_per_frame+1;

+    en = st+code_param.data_bits_per_frame-1;

+    data_out_c = data_out(st:en);

+    error_positions = xor(data_out_c, data(data_st:data_en));

+    Nerrs(i) = sum(error_positions);

+

+    % Octave decoder 

+

+    st = (i-1)*code_param.symbols_per_frame+1; en = st+code_param.symbols_per_frame-1;

+    [detected_data Niters] = ldpc_decode(r(st:en), code_param, max_iterations, decoder_type);

+    st = (i-1)*code_param.data_bits_per_frame+1; en = st+code_param.data_bits_per_frame-1;

+    data_out_octave = detected_data(1:code_param.data_bits_per_frame);

+    error_positions = xor(data_out_octave, data(st:en));

+    Nerrs2(i) = sum(error_positions);

+    %printf("%4d ", Niters);

+  end

+  printf("Errors per frame:\nC.....:");

+  for i=1:frames

+    printf("%4d ", Nerrs(i));

+  end

+  printf("\nOctave:");

+  for i=1:frames

+    printf("%4d ", Nerrs2(i));

+  end

+  printf("\n");

+

+end

+

+% Saves a complex vector s to a file "filename" of IQ unsigned 8 bit

+% chars, same as RTLSDR format.

+

+function save_rtlsdr(filename, s)

+  mx = max(abs(s));

+  re = real(s); im = imag(s);

+  l = length(s);

+  iq = zeros(1,2*l);

+  %iq(1:2:2*l) = 127 + re*(127/mx); 

+  %iq(2:2:2*l) = 127 + im*(127/mx); 

+  iq(1:2:2*l) = 127 + 32*re; 

+  iq(2:2:2*l) = 127 + 32*im; 

+  figure(3); clf; plot(iq); title('simulated IQ signal from RTL SDR');

+  fs = fopen(filename,"wb");

+  fwrite(fs,iq,"uchar");

+  fclose(fs);

+endfunction

+

+

+% Oversamples by a factor of 2 using Octaves resample() function then

+% uses linear interpolation to achieve fractional sample rate

+

+function rx_resample_fract = fractional_resample(rx, resample_rate);

+    assert(resample_rate < 2, "keep resample_rate between 0 and 2");

+    rx_resample2 = resample(rx, 2, 1);

+    l = length(rx_resample2);

+    rx_resample_fract = zeros(1,l);

+    k = 1;

+    step = 2/resample_rate;

+    for i=1:step:l-1

+      i_low = floor(i);

+      i_high = ceil(i);

+      f = i - i_low;

+      rx_resample_fract(k) = (1-f)*rx_resample2(i_low) + f*rx_resample2(i_high); 

+      %printf("i: %f i_low: %d i_high: %d f: %f\n", i, i_low, i_high, f);

+      k++;

+    end

+    rx_resample_fract = rx_resample_fract(1:k-1);

+endfunction

+

+

+% Using simulated SSTV packet, generate complex fsk mod signals, 8-bit

+% unsigned IQ for feeding into C demod chain.  Can also be used to

+% generate BER curves.  Found bugs in UW size and our use of csdr

+% re-sampler using this function, and by gradually and carefully

+% building up the C command line.

+

+#{

+todo: [X] uncoded BER

+          [X] octave fsk demod

+          [X] use C demod

+      [X] compare uncoded BER to unsigned 8 bit IQ to regular 16-bit

+          [X] generate complex rx signal with noise

+          [X] used cmd line utils to drive demod

+      [X] test with resampler

+      [X] measure effect on PER with coding

+#}

+

+function [n_uncoded_errs n_uncoded_bits] = run_sstv_sim(sim_in, EbNodB)

+

+  frames = sim_in.frames;

+  demod_type = sim_in.demod_type;

+

+  % init LDPC code

+

+  load('H2064_516_sparse.mat');

+  HRA = full(HRA);  

+  max_iterations = 100;

+  decoder_type = 0;

+  mod_order = 2;

+

+  code_param = ldpc_init(HRA, mod_order);

+

+  % note fixed frame of bits used for BER testing

+

+  tx_codeword = gen_sstv_frame;

+  

+  % init FSK modem

+

+  fsk_horus_as_a_lib = 1;

+  fsk_horus;

+  states         = fsk_horus_init_hbr(9600, 8, 1200, 2, length(tx_codeword));

+  states.df(1:states.M) = 0;

+  states.dA(1:states.M) = 1;

+  states.tx_real = 0;  % Octave fsk_mod generates complex valued output

+                       % so we can simulate rtl_sdr complex output

+

+  % Set up simulated tx tones to sit in the middle of cdsr passband

+

+  filt_low_norm = 0.1; filt_high_norm = 0.4;

+  fc = states.Fs*(filt_low_norm + filt_high_norm)/2;

+  %fc = 1800;

+  f1 = fc - states.Rs/2;

+  f2 = fc + states.Rs/2;

+  states.ftx = [f1 f2];

+

+  % set up AWGN channel 

+

+  EbNo = 10^(EbNodB/10);

+  variance = states.Fs/(states.Rs*EbNo*states.bitspersymbol);

+

+  % start simulation ----------------------------------------

+

+  tx_bit_stream = [];

+  for i=1:frames

+    % uncomment for different data on each frame

+    %tx_codeword = gen_sstv_frame;

+    tx_bit_stream = [tx_bit_stream tx_codeword];

+  end

+

+  printf("%d bits at %d bit/s is a %3.1f second run\n", length(tx_bit_stream), 115200,length(tx_bit_stream)/115200);

+ 

+  % modulate and channel model

+

+  tx = fsk_horus_mod(states, tx_bit_stream);

+  noise_real = sqrt(variance)*randn(length(tx),1);

+  noise_complex = sqrt(variance/2)*(randn(length(tx),1) + j*randn(length(tx),1));

+

+  % demodulate -----------------------------------------------------

+

+  if demod_type == 1

+

+    % Octave demod

+

+    if states.tx_real

+      rx = tx + noise_real;

+    else

+      rx = tx + noise_complex;

+    end

+    SNRdB = 10*log10(var(tx)/var(noise_complex));

+

+    % demodulate frame by frame using Octave demod

+

+    st = 1;

+    run_frames = floor(length(rx)/states.N);

+    rx_bit_stream = [];

+    rx_sd_stream = [];

+    for f=1:run_frames

+

+      % extract nin samples from rx sample stream

+

+      nin = states.nin;

+      en = st + states.nin - 1;

+

+      if en <= length(rx) % due to nin variations its possible to overrun buffer

+        sf = rx(st:en);

+        st += nin;

+

+        % demodulate to stream of bits

+

+        states.f = [f1 f2]; % note that for Octave demod we cheat and use known tone frequencies

+                            % allows us to determine if freq offset estimation in C demod is a problem

+

+        [rx_bits states] = fsk_horus_demod(states, sf);

+        rx_bit_stream = [rx_bit_stream rx_bits];

+        rx_sd_stream = [rx_sd_stream states.rx_bits_sd];

+      end

+    end

+  end

+

+  if demod_type == 2

+    % baseline C demod

+

+    if states.tx_real

+      rx = tx + noise_real;

+    else

+      rx = 2*real(tx) + noise_real;

+    end

+    SNRdB = 10*log10(var(tx)/var(noise_real));

+    rx_scaled = 1000*real(rx);

+    f = fopen("fsk_demod.raw","wb"); fwrite(f, rx_scaled, "short"); fclose(f);

+    system("../build_linux/src/fsk_demod 2X 8 9600 1200 fsk_demod.raw fsk_demod.bin");

+    f = fopen("fsk_demod.bin","rb"); rx_bit_stream = fread(f, "uint8")'; fclose(f);

+  end

+

+  if demod_type == 3

+    % C demod driven by csdr command line kung fu

+

+    assert(states.tx_real == 0, "need complex signal for this test");

+    rx = tx + noise_complex;

+    SNRdB = 10*log10(var(tx)/var(noise_real));

+    save_rtlsdr("fsk_demod.iq", rx);

+    system("cat fsk_demod.iq | csdr convert_u8_f | csdr bandpass_fir_fft_cc 0.1 0.4 0.05 | csdr realpart_cf | csdr convert_f_s16 | ../build_linux/src/fsk_demod 2X 8 9600 1200 - fsk_demod.bin");

+    f = fopen("fsk_demod.bin","rb"); rx_bit_stream = fread(f, "uint8")'; fclose(f);

+  end

+

+  if demod_type == 4

+    % C demod with resampler ....... getting closer to Mark's real time cmd line

+

+    assert(states.tx_real == 0, "need complex signal for this test");

+    rx = tx + noise_complex;

+    SNRdB = 10*log10(var(tx)/var(noise_real));

+    

+    printf("resampling ...\n");

+    rx_resample_fract = fractional_resample(rx, 1.08331);

+    %rx_resample_fract = fractional_resample(rx_resample_fract, 1/1.08331);

+    save_rtlsdr("fsk_demod_resample.iq", rx_resample_fract);

+

+    printf("run C cmd line chain ...\n");

+%    system("cat fsk_demod_resample.iq | csdr convert_u8_f | csdr bandpass_fir_fft_cc 0.1 0.4 0.05 | csdr realpart_cf | csdr convert_f_s16 | ../build_linux/src/fsk_demod 2X 8 9600 1200 - fsk_demod.bin");

+    system("cat fsk_demod_resample.iq | csdr convert_u8_f | csdr bandpass_fir_fft_cc 0.1 0.4 0.05 | csdr realpart_cf | csdr convert_f_s16 | ../unittest/tsrc - - 0.9230968 | ../build_linux/src/fsk_demod 2X 8 9600 1200 - fsk_demod.bin");

+%    system("cat fsk_demod_resample.iq | csdr convert_u8_f | csdr bandpass_fir_fft_cc 0.1 0.4 0.05 | csdr realpart_cf | csdr fractional_decimator_ff 1.08331 | csdr convert_f_s16 | ../build_linux/src/fsk_demod 2X 8 9600 1200 - fsk_demod.bin");

+    f = fopen("fsk_demod.bin","rb"); rx_bit_stream = fread(f, "uint8")'; fclose(f);

+  end

+

+

+  if demod_type == 5

+

+    % C demod with resampler and use C code to measure PER, in this

+    % test we don't need to run state machine below as C code gives us

+    % the outputs we need

+

+    assert(states.tx_real == 0, "need complex signal for this test");

+    rx = tx + noise_complex;

+    SNRdB = 10*log10(var(tx)/var(noise_real));

+    

+    printf("fract resampling ...\n");

+    rx_resample_fract = fractional_resample(rx, 1.08331);

+    save_rtlsdr("fsk_demod_resample.iq", rx_resample_fract);

+

+    % useful for HackRF

+    %printf("10X resampling ...\n");

+    %rx_resample_10M = resample(rx_resample_fract, 10, 1);

+    %save_rtlsdr("fsk_demod_10M.iq", rx_resample_10M);

+

+    printf("run C cmd line chain - uncoded PER\n");

+    system("cat fsk_demod_resample.iq | csdr convert_u8_f | csdr bandpass_fir_fft_cc 0.1 0.4 0.05 | csdr realpart_cf | csdr convert_f_s16 | ../unittest/tsrc - - 0.9230968 | ../build_linux/src/fsk_demod 2X 8 9600 1200 - - | ../src/drs232 - /dev/null -v");

+

+    printf("run C cmd line chain - LDPC coded PER\n");

+    system("cat fsk_demod_resample.iq | csdr convert_u8_f | csdr bandpass_fir_fft_cc 0.1 0.4 0.05 | csdr realpart_cf | csdr convert_f_s16 | ../unittest/tsrc - - 0.9230968 | ../build_linux/src/fsk_demod 2XS 8 9600 1200 - - | ../src/drs232_ldpc - /dev/null -v");

+  end

+

+  if demod_type == 6

+    % C demod with complex input driven simplfied csdr command line, just measure BER of demod

+

+    assert(states.tx_real == 0, "need complex signal for this test");

+    rx = tx + noise_complex;

+    SNRdB = 10*log10(var(tx)/var(noise_real));

+    save_rtlsdr("fsk_demod.iq", rx);

+    system("cat fsk_demod.iq | csdr convert_u8_f | csdr convert_f_s16 | ../build_linux/src/fsk_demod 2X 8 9600 1200 - fsk_demod.bin C");

+

+    f = fopen("fsk_demod.bin","rb"); rx_bit_stream = fread(f, "uint8")'; fclose(f);

+  end

+

+  if demod_type == 7

+    % C demod with complex input, measure uncoded and uncoded PER

+

+    assert(states.tx_real == 0, "need complex signal for this test");

+    rx = tx + noise_complex;

+    SNRdB = 10*log10(var(tx)/var(noise_real));

+    save_rtlsdr("fsk_demod.iq", rx);

+

+    printf("run C cmd line chain - uncoded PER\n");

+    system("cat fsk_demod.iq | csdr convert_u8_f | csdr convert_f_s16 | ../build_linux/src/fsk_demod 2X 8 9600 1200 - - C | ../src/drs232 - /dev/null -v");

+

+    printf("run C cmd line chain - LDPC coded PER\n");

+    %system("cat fsk_demod.iq | csdr convert_u8_f | csdr convert_f_s16 | ../build_linux/src/fsk_demod 2XS 8 9600 1200 - - C | ../src/drs232_ldpc - /dev/null -v");

+    system("cat fsk_demod.iq | ../build_linux/src/fsk_demod 2XS 8 9600 1200 - - CU8 | ../src/drs232_ldpc - /dev/null -v");

+  end

+

+  if (demod_type != 5) && (demod_type != 7)

+    % state machine. Look for SSTV UW.  When found count bit errors over one frame of bits

+

+    state = "wait for uw";

+    start_uw_ind = 16*10+1; end_uw_ind = start_uw_ind + 5*10 - 1;

+    uw_rs232 = tx_codeword(start_uw_ind:end_uw_ind); luw = length(uw_rs232);

+    start_frame_ind =  end_uw_ind + 1;

+    nbits = length(rx_bit_stream);

+    uw_thresh = 5;

+    n_uncoded_errs = 0;

+    n_uncoded_bits = 0;

+    n_packets_rx = 0;

+    last_i = 0;

+

+    % might as well include RS232 framing bits in uncoded error count

+

+    nbits_frame = code_param.data_bits_per_frame*10/8;  

+

+    uw_errs = zeros(1, nbits);

+    for i=luw:nbits

+      uw_errs(i) = sum(xor(rx_bit_stream(i-luw+1:i), uw_rs232));

+    end

+

+    for i=luw:nbits

+      next_state = state;

+      if strcmp(state, 'wait for uw')

+        if uw_errs(i) <= uw_thresh

+          next_state = 'count errors';

+          tx_frame_ind = start_frame_ind;

+          rx_frame_ind = i + 1;

+          n_uncoded_errs_this_frame = 0;

+          %printf("%d %s %s\n", i, state, next_state);

+          if last_i

+            printf("i: %d i-last_i: %d ", i, i-last_i);

+          end

+        end

+      end

+      if strcmp(state, 'count errors')

+        n_uncoded_errs_this_frame += xor(rx_bit_stream(i), tx_codeword(tx_frame_ind));

+        n_uncoded_bits++;

+        tx_frame_ind++;

+        if tx_frame_ind == (start_frame_ind+nbits_frame)

+          n_uncoded_errs += n_uncoded_errs_this_frame;

+          printf("n_uncoded_errs_this_frame: %d\n", n_uncoded_errs_this_frame);

+          frame_rx232_rx = rx_bit_stream(rx_frame_ind:rx_frame_ind+nbits_frame-1);

+          %tx_codeword(start_frame_ind+1:start_frame_ind+10)

+          %frame_rx232_rx(1:10)

+          sstv_checksum(frame_rx232_rx);

+          last_i = i;

+          n_packets_rx++;

+          next_state = 'wait for uw';

+        end

+      end

+      state = next_state;

+    end

+

+    uncoded_ber = n_uncoded_errs/n_uncoded_bits;

+    printf("EbNodB: %4.1f SNRdB: %4.1f pkts: %d bits: %d errs: %d BER: %4.3f\n", 

+            EbNodB, SNRdB, n_packets_rx, n_uncoded_bits, n_uncoded_errs, uncoded_ber);  

+

+    figure(2);

+    plot(uw_errs);

+    title('Unique Word Hamming Distance')

+  end

+

+endfunction

+

+

+% Function to test flight mode software.  Takes a rx stream of

+% demodulated bits, and locates frames using UW detection.  Extracts

+% data and parity bits.  Uses data bits to generate parity bits here

+% and compare.

+

+function compare_parity_bits(rx_bit_stream)

+    nframes = 500;

+

+    % init LDPC code

+

+    load('H2064_516_sparse.mat');

+    HRA = full(HRA);  

+    max_iterations = 100;

+    decoder_type = 0;

+    mod_order = 2;

+

+    code_param = ldpc_init(HRA, mod_order);

+

+    % generate frame, this will have random bits not related to

+    % rx_stream, however we just use it for the UW

+

+    tx_codeword = gen_sstv_frame;

+    l = length(tx_codeword);

+    printf("expected rs232 frames codeword length: %d\n", l);

+

+    % state machine. Look for SSTV UW.  When found count bit errors over one frame of bits

+

+    state = "wait for uw";

+    start_uw_ind = 16*10+1; end_uw_ind = start_uw_ind + 4*10 - 1;

+    uw_rs232 = tx_codeword(start_uw_ind:end_uw_ind); luw = length(uw_rs232);

+    start_frame_ind =  end_uw_ind + 1;

+    nbits = nframes*l;

+    uw_thresh = 5;

+    n_uncoded_errs = 0;

+    n_uncoded_bits = 0;

+    n_packets_rx = 0;

+    last_i = 0;

+

+    % might as well include RS232 framing bits in uncoded error count

+

+    uw_errs = luw*ones(1, nbits);

+    for i=luw:nbits

+      uw_errs(i) = sum(xor(rx_bit_stream(i-luw+1:i), uw_rs232));

+    end

+

+    frame_start = find(uw_errs < 2)+1;

+    nframes = length(frame_start)

+    for i=1:nframes

+

+      % double check UW OK

+

+      st_uw = frame_start(i) - luw; en_uw = frame_start(i) - 1;

+      uw_err_check = sum(xor(rx_bit_stream(st_uw:en_uw), uw_rs232));

+      %printf("uw_err_check: %d\n", uw_err_check);

+

+      % strip off rs232 start/stop bits

+

+      nbits_rs232 = (256+2+65)*10;

+      nbits = (256+2+65)*8;

+      nbits_byte = 10;

+      rx_codeword = zeros(1,nbits);

+      pdb = 1;

+

+      for k=1:nbits_byte:nbits_rs232

+        for l=1:8

+          rx_codeword(pdb) = rx_bit_stream(frame_start(i)-1+k+l);

+          pdb++;

+        end

+      end

+      assert(pdb == (nbits+1));

+      

+      data_bits = rx_codeword(1:256*8);

+      checksum_bits = rx_codeword(256*8+1:258*8);

+      parity_bits = rx_codeword(258*8+1:258*8+516);

+      padding_bits = rx_codeword(258*8+516+1:258*8+516+1);

+

+      % stopped here as we found bug lol!

+    end

+

+    figure(1); clf;

+    plot(uw_errs);

+    title('Unique Word Hamming Distance')

+    figure(2); clf;

+    lframe_start = length(frame_start);

+    plot(frame_start(2:lframe_start)-frame_start(1:lframe_start-1));

+    %title('Unique Word Hamming Distance')

+

+endfunction

+

+

+% Start simulation --------------------------------------------------------

+

+more off;

+currentdir = pwd;

+thiscomp = computer;

+

+if strcmpi(thiscomp, 'MACI64')==1

+   if exist('CMLSimulate')==0

+        cd '/Users/bill/Current/Projects/DLR_FSO/Visit2013_FSO_GEO/cml'

+        addpath '../'    % assume the source files stored here

+        CmlStartup       % note that this is not in the cml path!

+        disp('added MACI64 path and run CmlStartup')

+    end

+end

+

+if strfind(thiscomp, 'pc-linux-gnu')==8 

+   if exist('LdpcEncode')==0, 

+        cd '~/tmp/cml'

+        CmlStartup 

+        disp('CmlStartup has been run')

+	% rmpath '/home/bill/cml/mexhelp'  % why is this needed? 

+	% maybe different path order in octave cf matlab ? 

+    end

+end

+

+cd(currentdir)

+

+ldpc_fsk_lib;

+randn('state',1);

+rand('state',1);

+

+% ------------------ select which demo/test to run here ---------------

+

+demo = 12;

+

+if demo == 1

+  printf("simple_ut....\n");

+  data = simple_ut;

+end

+

+if demo == 2

+  printf("generate C header file....\n");

+  data = simple_ut("../src/H2064_516_sparse.h");

+end

+

+if demo == 3

+  printf("decode_from_file ......\n");

+  data = simple_ut;

+  detected_data = decode_from_file("codeword.bin");

+  error_positions = xor( detected_data(1:length(data)), data );

+  Nerrs = sum(error_positions);

+  printf("  Nerrs = %d\n", Nerrs);

+end

+

+if demo == 4

+  printf("plot a curve....\n");

+  plot_curve;

+end

+

+if demo == 5

+

+  % generate test data and save to disk

+

+  [data code_param] = simple_ut;

+  f = fopen("dat_in2064.bin","wb"); fwrite(f, data, "uint8"); fclose(f);

+

+  % Outboard C encoder

+

+  system("../src/ldpc_enc dat_in2064.bin dat_op2064.bin"); 

+

+  % Test with Octave decoder

+

+  detected_data = decode_from_file("dat_op2064.bin");

+  error_positions = xor(detected_data(1:length(data)), data);

+  Nerrs = sum(error_positions);

+  printf("Nerrs = %d\n", Nerrs);

+end

+

+if demo == 6

+  test_c_encoder;

+end

+

+if demo == 7

+  test_c_decoder;

+end

+

+% generates simulated demod soft decision symbols to drive C ldpc decoder with

+

+if demo == 8

+  frames = 100;

+  EsNodB = 3;

+  EsNo = 10^(EsNodB/10);

+  variance = 1/(2*EsNo);

+

+  frame_rs232 = [];

+  for i=1:frames

+    frame_rs232 = [frame_rs232 gen_sstv_frame];

+  end

+

+  % write hard decn version to disk file, useful for fsk_mod input

+

+  f = fopen("sstv.bin","wb"); fwrite(f, frame_rs232, "char"); fclose(f);

+

+  % soft decision version (with noise)

+

+  s = 1 - 2*frame_rs232;

+  noise = sqrt(variance)*randn(1,length(frame_rs232)); 

+  r = s + noise;

+  f = fopen("sstv_sd.bin","wb"); fwrite(f, r, "float32"); fclose(f);

+end

+

+

+if demo == 9

+  frames = 100;

+  EbNodB = 11;

+

+  frame_rs232 = [];

+  for i=1:frames

+    frame_rs232 = [frame_rs232 gen_sstv_frame];

+  end

+

+  % Use C FSK modulator to generate modulated signal

+

+  f = fopen("sstv.bin","wb"); fwrite(f, frame_rs232, "char"); fclose(f);

+  system("../build_linux/src/fsk_mod 2 9600 1200 1200 2400 sstv.bin fsk_mod.raw");

+

+  % Add some channel noise here in Octave

+

+  f = fopen("fsk_mod.raw","rb"); tx = fread(f, "short")'; fclose(f); tx_pwr = var(tx);

+  Fs = 9600; Rs=1200; EbNolin = 10 ^ (EbNodB/10);

+  variance = (tx_pwr/2)*states.Fs/(states.Rs*EbNolin*states.bitspersymbol);

+  noise = sqrt(variance)*randn(1,length(tx)); 

+  SNRdB = 10*log10(var(tx)/var(noise));

+  rx = tx + noise;

+  f = fopen("fsk_demod.raw","wb"); tx = fwrite(f, rx, "short"); fclose(f);

+ 

+  % Demodulate using C modem and C de-framer/LDPC decoder

+

+  system("../build_linux/src/fsk_demod 2XS 8 9600 1200 fsk_demod.raw - | ../src/drs232_ldpc - dummy_out.bin");

+end

+

+

+% Plots uncoded BER curves for two different SSTV simulations.  Used

+% to compare results with different processing steps as we build up C

+% command line.  BER curves are powerful ways to confirm system is

+% operating as expected, several bugs were found using this system.

+

+if demo == 10

+  sim_in.frames = 10;

+  EbNodBvec = 7:10;

+

+  sim_in.demod_type = 3;

+  ber_test1 = [];

+  for i = 1:length(EbNodBvec)

+    [n_uncoded_errs n_uncoded_bits] = run_sstv_sim(sim_in, EbNodBvec(i));

+    ber_test1(i) = n_uncoded_errs/n_uncoded_bits;

+  end

+  

+  sim_in.demod_type = 4;

+  ber_c = [];

+  for i = 1:length(EbNodBvec)

+    [n_uncoded_errs n_uncoded_bits] = run_sstv_sim(sim_in, EbNodBvec(i));

+    ber_test2(i) = n_uncoded_errs/n_uncoded_bits;

+  end

+

+  figure(1);

+  clf;

+  semilogy(EbNodBvec,  ber_test1, '+-;first test;')

+  grid;

+  xlabel('Eb/No (dB)')

+  ylabel('BER')

+

+  hold on;

+  semilogy(EbNodBvec,  ber_test2, 'g+-;second test;')

+  legend("boxoff");

+  hold off;

+  

+end

+

+% Measure PER of complete coded and uncoded system

+

+if demo == 11

+  sim_in.frames = 10;

+  EbNodB = 9;

+  sim_in.demod_type = 7;

+  run_sstv_sim(sim_in, EbNodB);

+end

+

+

+% Compare parity bits from an off-air stream of demodulated bits

+% Use something like:

+%   cat ~/Desktop/923096fs_wenet.iq | ../build_linux/src/fsk_demod 2X 8 9600 1200 - fsk_demod.bin CU8

+% (note not soft dec mode)

+if demo == 12

+  f = fopen("fsk_demod.bin","rb"); rx_bit_stream = fread(f, "uint8")'; fclose(f);

+

+  compare_parity_bits(rx_bit_stream);

+end

diff --git a/octave/tfdmdv.m b/octave/tfdmdv.m
new file mode 100644
index 0000000..45a062a
--- /dev/null
+++ b/octave/tfdmdv.m
@@ -0,0 +1,307 @@
+% tfdmdv.m
+%
+% Octave script that tests the C port of the FDMDV modem.  This script loads
+% the output of unittest/tfdmdv.c and compares it to the output of the
+% reference versions of the same functions written in Octave.
+%
+% Usage:
+%
+%   1/ In codec2-dev/CMakeLists.txt, ensure set(CMAKE_BUILD_TYPE "Debug"), to
+%      enable building the C unittests.  Build codec2-dev as per 
+%      codec2-dev/README.
+%
+%   2/ Run the C side from the Octave directory:
+%
+%        codec2-dev/octave$ ../build_linux/unittest/tfdmdv
+%        codec2-dev/octave$ ls -l tfdmdv_out.txt
+%         -rw-rw-r-- 1 david david 3419209 Aug 27 10:05 tfdmdv_out.txt
+%
+%   3/ Run the Octave side (this script):
+%
+%        octave:1> tfdmdv
+%
+
+%
+% Copyright David Rowe 2012
+% This program is distributed under the terms of the GNU General Public License 
+% Version 2
+%
+
+more off
+format
+
+fdmdv;                 % load modem code
+autotest;              % automatic testing library
+
+
+% init fdmdv modem states and load up a few constants in this scope for convenience
+
+f = fdmdv_init;
+Nc = f.Nc;
+Nb = f.Nb;
+M  = f.M;
+Fs = f.Fs;
+P  = f.P;
+Q  = f.Q;
+
+% Generate reference vectors using Octave implementation of FDMDV modem
+
+global passes = 0;
+global fails = 0;
+frames = 35;
+prev_tx_symbols = ones(Nc+1,1); prev_tx_symbols(Nc+1) = 2;
+prev_rx_symbols = ones(Nc+1,1);
+foff_phase_rect = 1;
+channel = [];
+channel_count = 0;
+next_nin = M;
+sig_est = zeros(Nc+1,1);
+noise_est = zeros(Nc+1,1);
+
+sync = 0;
+fest_state = 0;
+fest_timer = 0;
+sync_mem = zeros(1,f.Nsync_mem);
+
+% Octave outputs we want to collect for comparison to C version
+
+tx_bits_log = [];
+tx_symbols_log = [];
+tx_baseband_log = [];
+tx_fdm_log = [];
+pilot_baseband1_log = [];
+pilot_baseband2_log = [];
+pilot_lpf1_log = [];
+pilot_lpf2_log = [];
+S1_log = [];
+S2_log = [];
+foff_coarse_log = [];
+foff_fine_log = [];
+foff_log = [];
+rx_fdm_filter_log = [];
+rx_filt_log = [];
+env_log = [];
+rx_timing_log = [];
+phase_difference_log = [];
+rx_symbols_log = [];
+rx_bits_log = []; 
+sync_bit_log = [];  
+sync_log = [];  
+nin_log = [];
+sig_est_log = [];
+noise_est_log = [];
+
+% adjust this if the screen is getting a bit cluttered
+
+global no_plot_list = [1 2 3 4 5 6 7 8 12 13 14 15 16];
+
+for fr=1:frames
+
+  % modulator
+
+  [tx_bits f] = get_test_bits(f, Nc*Nb);
+  tx_bits_log = [tx_bits_log tx_bits];
+  [tx_symbols f] = bits_to_psk(f, prev_tx_symbols, tx_bits);
+  prev_tx_symbols = tx_symbols;
+  tx_symbols_log = [tx_symbols_log tx_symbols];
+  [tx_baseband f] = tx_filter(f, tx_symbols);
+  tx_baseband_log = [tx_baseband_log tx_baseband];
+  [tx_fdm f] = fdm_upconvert(f, tx_baseband);
+  tx_fdm_log = [tx_fdm_log tx_fdm];
+
+  % channel
+
+  nin = next_nin;
+
+  % nin = M;  % when debugging good idea to uncomment this to "open loop"
+
+  channel = [channel real(tx_fdm)];
+  channel_count += M;
+  rx_fdm = channel(1:nin);
+  channel = channel(nin+1:channel_count);
+  channel_count -= nin;
+
+  % demodulator --------------------------------------------
+
+  % shift down to complex baseband
+
+  for i=1:nin
+    f.fbb_phase_rx = f.fbb_phase_rx*f.fbb_rect';
+    rx_fdm(i) = rx_fdm(i)*f.fbb_phase_rx;
+  end
+  mag = abs(f.fbb_phase_rx);
+  f.fbb_phase_rx /= mag;
+
+  % sync = 0; % when debugging good idea to uncomment this to "open loop"
+
+  [pilot prev_pilot f.pilot_lut_index f.prev_pilot_lut_index] = get_pilot(f, f.pilot_lut_index, f.prev_pilot_lut_index, nin);
+  [foff_coarse S1 S2 f] = rx_est_freq_offset(f, rx_fdm, pilot, prev_pilot, nin, !sync);
+
+  if sync == 0
+    foff = foff_coarse;
+  end
+  foff_coarse_log = [foff_coarse_log foff_coarse];
+
+  pilot_baseband1_log = [pilot_baseband1_log f.pilot_baseband1];
+  pilot_baseband2_log = [pilot_baseband2_log f.pilot_baseband2];
+  pilot_lpf1_log = [pilot_lpf1_log f.pilot_lpf1];
+  pilot_lpf2_log = [pilot_lpf2_log f.pilot_lpf2];
+  S1_log  = [S1_log S1];
+  S2_log  = [S2_log S2];
+
+  foff_rect = exp(j*2*pi*foff/Fs);
+
+  for i=1:nin
+    foff_phase_rect *= foff_rect';
+    rx_fdm_fcorr(i) = rx_fdm(i)*foff_phase_rect;
+  end
+
+  [rx_fdm_filter f] = rxdec_filter(f, rx_fdm_fcorr, nin);
+  [rx_filt f] = down_convert_and_rx_filter(f, rx_fdm_filter, nin, M/Q);
+  #{
+  for i=1:5
+    printf("[%d] rx_fdm_fcorr: %f %f rx_fdm_filter: %f %f\n", i,
+           real(rx_fdm_fcorr(i)), imag(rx_fdm_fcorr(i)), real(rx_fdm_filter(i)), imag(rx_fdm_filter(i)));
+  end
+  for i=1:5
+    printf("[%d] rx_fdm_fcorr: %f %f rxdec_lpf_mem: %f %f\n", i,
+           real(rx_fdm_fcorr(i)), imag(rx_fdm_fcorr(i)), real(f.rxdec_lpf_mem(i)), imag(f.rxdec_lpf_mem(i)));
+  end
+  #}
+  rx_filt_log = [rx_filt_log rx_filt];
+  rx_fdm_filter_log = [rx_fdm_filter_log rx_fdm_filter];
+
+  [rx_symbols rx_timing env f] = rx_est_timing(f, rx_filt, nin);
+  env_log = [env_log env];
+  rx_timing_log = [rx_timing_log rx_timing];
+  rx_symbols_log = [rx_symbols_log rx_symbols];
+
+  next_nin = M;
+  if rx_timing > 2*M/P
+     next_nin += M/P;
+  end
+  if rx_timing < 0;
+     next_nin -= M/P;
+  end
+  nin_log = [nin_log nin];
+
+  [rx_bits sync_bit foff_fine pd] = psk_to_bits(f, prev_rx_symbols, rx_symbols, 'dqpsk');
+  phase_difference_log = [phase_difference_log pd];
+
+  foff_fine_log = [foff_fine_log foff_fine];
+  foff -= 0.5*foff_fine;
+  foff_log = [foff_log foff];
+
+  [sig_est noise_est] = snr_update(f, sig_est, noise_est, pd);
+  sig_est_log = [sig_est_log sig_est];
+  noise_est_log = [noise_est_log noise_est];
+
+  prev_rx_symbols = rx_symbols;
+  rx_bits_log = [rx_bits_log rx_bits]; 
+  sync_bit_log = [sync_bit_log sync_bit];  
+
+  % freq est state machine
+
+  [sync reliable_sync_bit fest_state fest_timer sync_mem] = freq_state(f, sync_bit, fest_state, fest_timer, sync_mem);
+  sync_log = [sync_log sync];
+end
+
+% Compare to the output from the C version
+
+load tfdmdv_out.txt
+
+
+% ---------------------------------------------------------------------------------------
+% Plot output and test each C function
+% ---------------------------------------------------------------------------------------
+
+% fdmdv_get_test_bits() & bits_to_dqpsk_symbols()
+
+n = 28;
+stem_sig_and_error(1, 211, tx_bits_log_c(1:n), tx_bits_log(1:n) - tx_bits_log_c(1:n), 'tx bits', [1 n -1.5 1.5])
+stem_sig_and_error(1, 212, real(tx_symbols_log_c(1:n/2)), real(tx_symbols_log(1:n/2) - tx_symbols_log_c(1:n/2)), 'tx symbols real', [1 n/2 -1.5 1.5])
+
+% fdm_upconvert()
+
+plot_sig_and_error(3, 211, real(tx_fdm_log_c), real(tx_fdm_log - tx_fdm_log_c), 'tx fdm real')
+plot_sig_and_error(3, 212, imag(tx_fdm_log_c), imag(tx_fdm_log - tx_fdm_log_c), 'tx fdm imag')
+
+% generate_pilot_lut()
+
+plot_sig_and_error(4, 211, real(pilot_lut_c), real(f.pilot_lut - pilot_lut_c), 'pilot lut real')
+plot_sig_and_error(4, 212, imag(pilot_lut_c), imag(f.pilot_lut - pilot_lut_c), 'pilot lut imag')
+
+% rx_est_freq_offset()
+
+st=1;  en = 5*f.Npilotbaseband;
+plot_sig_and_error(5, 211, real(pilot_baseband1_log(st:en)), real(pilot_baseband1_log(st:en) - pilot_baseband1_log_c(st:en)), 'pilot baseband1 real' )
+plot_sig_and_error(5, 212, real(pilot_baseband2_log(st:en)), real(pilot_baseband2_log(st:en) - pilot_baseband2_log_c(st:en)), 'pilot baseband2 real' )
+
+st=1;  en = 5*f.Npilotlpf;
+plot_sig_and_error(6, 211, real(pilot_lpf1_log(st:en)), real(pilot_lpf1_log(st:en) - pilot_lpf1_log_c(st:en)), 'pilot lpf1 real' )
+plot_sig_and_error(6, 212, real(pilot_lpf2_log(st:en)), real(pilot_lpf2_log(st:en) - pilot_lpf2_log_c(st:en)), 'pilot lpf2 real' )
+
+plot_sig_and_error(7, 211, real(S1_log), real(S1_log - S1_log_c), 'S1 real' )
+plot_sig_and_error(7, 212, imag(S1_log), imag(S1_log - S1_log_c), 'S1 imag' )
+
+plot_sig_and_error(8, 211, real(S2_log), real(S2_log - S2_log_c), 'S2 real' )
+plot_sig_and_error(8, 212, imag(S2_log), imag(S2_log - S2_log_c), 'S2 imag' )
+
+plot_sig_and_error(9, 211, foff_coarse_log, foff_coarse_log - foff_coarse_log_c, 'Coarse Freq Offset' )
+plot_sig_and_error(9, 212, foff_fine_log, foff_fine_log - foff_fine_log_c, 'Fine Freq Offset' )
+
+plot_sig_and_error(10, 211, foff_log, foff_log - foff_log_c, 'Freq Offset' )
+plot_sig_and_error(10, 212, sync_log, sync_log - sync_log_c, 'Sync & Freq Est Coarse(0) Fine(1)', [1 frames -1.5 1.5] )
+
+plot_sig_and_error(11, 211, real(rx_fdm_filter_log), real(rx_fdm_filter_log - rx_fdm_filter_log_c), 'Rx dec filter real' )
+plot_sig_and_error(11, 212, imag(rx_fdm_filter_log), imag(rx_fdm_filter_log - rx_fdm_filter_log_c), 'Rx dec filter imag' )
+
+c=1;
+plot_sig_and_error(12, 211, real(rx_filt_log(c,:)), real(rx_filt_log(c,:) - rx_filt_log_c(c,:)), 'Rx filt real' )
+plot_sig_and_error(12, 212, imag(rx_filt_log(c,:)), imag(rx_filt_log(c,:) - rx_filt_log_c(c,:)), 'Rx filt imag' )
+
+st=1*28;
+en = 3*28;
+plot_sig_and_error(14, 211, rx_timing_log, rx_timing_log - rx_timing_log_c, 'Rx Timing' )
+stem_sig_and_error(14, 212, sync_bit_log_c, sync_bit_log - sync_bit_log_c, 'Sync bit', [1 n -1.5 1.5])
+
+stem_sig_and_error(15, 211, rx_bits_log_c(st:en), rx_bits_log(st:en) - rx_bits_log_c(st:en), 'RX bits', [1 en-st -1.5 1.5])
+stem_sig_and_error(15, 212, nin_log_c, nin_log - nin_log_c, 'nin')
+
+c = 12;
+plot_sig_and_error(16, 211, sig_est_log(c,:), sig_est_log(c,:) - sig_est_log_c(c,:), 'sig est for SNR' )
+plot_sig_and_error(16, 212, noise_est_log(c,:), noise_est_log(c,:) - noise_est_log_c(c,:), 'noise est for SNR' )
+
+fr=12;
+
+stem_sig_and_error(13, 211, real(rx_symbols_log(:,fr)), real(rx_symbols_log(:,fr) - rx_symbols_log_c(:,fr)), 'rx symbols real' )
+stem_sig_and_error(13, 212, imag(rx_symbols_log(:,fr)), imag(rx_symbols_log(:,fr) - rx_symbols_log_c(:,fr)), 'rx symbols imag' )
+
+stem_sig_and_error(17, 211, real(phase_difference_log(:,fr)), real(phase_difference_log(:,fr) - phase_difference_log_c(:,fr)), 'phase difference real' )
+stem_sig_and_error(17, 212, imag(phase_difference_log(:,fr)), imag(phase_difference_log(:,fr) - phase_difference_log_c(:,fr)), 'phase difference imag' )
+
+
+check(tx_bits_log, tx_bits_log_c, 'tx_bits');
+check(tx_symbols_log,  tx_symbols_log_c, 'tx_symbols');
+check(tx_fdm_log, tx_fdm_log_c, 'tx_fdm');
+check(f.pilot_lut, pilot_lut_c, 'pilot_lut');
+check(f.pilot_coeff, pilot_coeff_c, 'pilot_coeff');
+check(pilot_baseband1_log, pilot_baseband1_log_c, 'pilot lpf1');
+check(pilot_baseband2_log, pilot_baseband2_log_c, 'pilot lpf2');
+check(S1_log, S1_log_c, 'S1');
+check(S2_log, S2_log_c, 'S2');
+check(foff_coarse_log, foff_coarse_log_c, 'foff_coarse');
+check(foff_fine_log, foff_fine_log_c, 'foff_fine');
+check(foff_log, foff_log_c, 'foff');
+check(rx_fdm_filter_log, rx_fdm_filter_log_c, 'rxdec filter');
+check(rx_filt_log, rx_filt_log_c, 'rx filt', 2E-3);
+check(env_log, env_log_c, 'env');
+check(rx_timing_log, rx_timing_log_c, 'rx_timing');
+check(rx_symbols_log, rx_symbols_log_c, 'rx_symbols', 2E-3);
+check(rx_bits_log, rx_bits_log_c, 'rx bits');
+check(sync_bit_log, sync_bit_log_c, 'sync bit');
+check(sync_log, sync_log_c, 'sync');
+check(nin_log, nin_log_c, 'nin');
+check(sig_est_log, sig_est_log_c, 'sig_est');
+check(noise_est_log, noise_est_log_c, 'noise_est');
+printf("\npasses: %d fails: %d\n", passes, fails);
diff --git a/octave/tfmfsk.m b/octave/tfmfsk.m
new file mode 100644
index 0000000..519e494
--- /dev/null
+++ b/octave/tfmfsk.m
@@ -0,0 +1,497 @@
+% tfsk.m
+% Author: Brady O'Brien 8 February 2016
+
+
+
+%  Copyright 2016 David Rowe
+%  
+%  All rights reserved.
+%
+%  This program is free software; you can redistribute it and/or modify
+%  it under the terms of the GNU Lesser General Public License version 2.1, as
+%  published by the Free Software Foundation.  This program is
+%  distributed in the hope that it will be useful, but WITHOUT ANY
+%  WARRANTY; without even the implied warranty of MERCHANTABILITY or
+%  FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public
+%  License for more details.
+%
+%  You should have received a copy of the GNU Lesser General Public License
+%  along with this program; if not, see <http://www.gnu.org/licenses/>.
+
+
+% Octave script to check c port of  mancyfsk/fmfsk against the fmfsk.m
+%
+#{
+
+  FMFSK Modem automated test instructions:
+
+  1. Use cmake to build in debug mode to ensure unittest/tfsk is built:
+
+     $ cd ~/codec2
+     $ rm -Rf build_linux && mkdir build_linux
+     $ cd build_linux
+     $ cmake -DCMAKE_BUILD_TYPE=Debug ..
+     $ make
+
+  2 - Change tfsk_location below if required
+  3 - Ensure Octave packages signal and parallel are installed
+  4 - Start Octave and run tfsk.m. It will perform all tests automatically
+
+#}
+
+%tfsk executable path/file
+global tfsk_location = '../build_linux/unittest/tfmfsk';
+
+%Set to 1 for verbose printouts
+global print_verbose = 0;
+
+
+
+fmfsk
+pkg load signal;
+pkg load parallel;
+graphics_toolkit('gnuplot');
+
+
+global mod_pass_fail_maxdiff = 1e-3/5000;
+
+function mod = fmfsk_mod_c(Fs,Rs,bits)
+    global tfsk_location;
+    %command to be run by system to launch the modulator
+    command = sprintf('%s M %d %d fsk_mod_ut_bitvec fsk_mod_ut_modvec fmfsk_mod_ut_log.txt',tfsk_location,Fs,Rs);
+    %save input bits into a file
+    bitvecfile = fopen('fsk_mod_ut_bitvec','wb+');
+    fwrite(bitvecfile,bits,'uint8');
+    fclose(bitvecfile);
+    
+    %run the modulator
+    system(command);
+    
+    modvecfile = fopen('fsk_mod_ut_modvec','rb');
+    mod = fread(modvecfile,'single');
+    fclose(modvecfile);
+    
+endfunction
+
+
+%Compare 2 vectors, fail if they are not close enough
+function pass = vcompare(vc,voct,vname,tname,tol,pnum)
+    global print_verbose;
+    
+    %Get delta of vectors
+    dvec = abs(abs(vc)-abs(voct));     
+    
+    %Normalize difference
+    dvec = dvec ./ abs(max(abs(voct))+1e-8);
+    
+    maxdvec = abs(max(dvec));
+    pass = maxdvec<tol;
+    if print_verbose == 1
+        printf('  Comparing vectors %s in test %s. Diff is %f\n',vname,tname,maxdvec);
+    end
+    
+    if pass == 0
+        printf('\n*** vcompare failed %s in test %s. Diff: %f Tol: %f\n\n',vname,tname,maxdvec,tol);
+        
+        titlestr = sprintf('Diff between C and Octave of %s for %s',vname,tname)
+        figure(10+pnum*2)
+        plot(abs(dvec))
+        title(titlestr)
+        
+        figure(11+pnum*2)
+        plot((1:length(vc)),abs(vc),(1:length(voct)),abs(voct))
+    
+    end
+    
+endfunction
+
+function test_stats = fmfsk_demod_xt(Fs,Rs,mod,tname,M=2)
+    global tfsk_location;
+    
+    %Name of executable containing the modulator
+    modvecfilename = sprintf('fmfsk_demod_ut_modvec_%d',getpid());
+    bitvecfilename = sprintf('fmfsk_demod_ut_bitvec_%d',getpid());
+    tvecfilename = sprintf('fmfsk_demod_ut_tracevec_%d.txt',getpid());
+    
+    %command to be run by system to launch the demod
+    command = sprintf('%s D %d %d %s %s %s',tfsk_location,Fs,Rs,modvecfilename,bitvecfilename,tvecfilename);
+    
+    %save modulated input into a file
+    modvecfile = fopen(modvecfilename,'wb+');
+    fwrite(modvecfile,mod,'single');
+    fclose(modvecfile);
+    
+    %run the modulator
+    system(command);
+    
+    bitvecfile = fopen(bitvecfilename,'rb');
+    bits = fread(bitvecfile,'uint8');
+    fclose(bitvecfile);
+    bits = bits!=0;
+    
+    %Load test vec dump
+    load(tvecfilename);
+    
+    %Clean up files
+    delete(bitvecfilename);
+    delete(modvecfilename);
+    delete(tvecfilename);
+    
+    o_norm_rx_timing = [];
+    o_symsamp = [];
+    o_rx_filt = [];
+    
+    %Run octave demod, dump some test vectors
+    states = fmfsk_init(Fs,Rs);
+    Ts = states.Ts;
+    modin = mod;
+    obits = [];
+    while length(modin)>=states.nin
+        ninold = states.nin;
+        [bitbuf,states] = fmfsk_demod(states, modin(1:states.nin));
+        modin=modin(ninold+1:length(modin));
+        obits = [obits bitbuf];
+        
+        o_norm_rx_timing = [o_norm_rx_timing states.norm_rx_timing];
+        o_symsamp = [o_symsamp states.symsamp];
+        o_rx_filt = [o_rx_filt states.rx_filt];
+
+    end
+    
+    close all
+    pass = 1;
+    
+    % One part-per-thousand allowed on important parameters
+    
+    pass = vcompare(t_rx_filt,o_rx_filt,'rx filt',tname,.001,8) && pass;
+    pass = vcompare(t_norm_rx_timing,o_norm_rx_timing,'norm rx timing',tname,.001,9) && pass;
+    pass = vcompare(t_symsamp,o_symsamp,'symsamp',tname,.001,10) && pass;
+    
+    assert(pass);
+    diffpass = sum(xor(obits,bits'))<4;
+    diffbits = sum(xor(obits,bits'));
+    
+    
+    if diffpass==0
+        printf('\n***bitcompare test failed test %s diff %d\n\n',tname,sum(xor(obits,bits')))
+        figure(15)
+        plot(xor(obits,bits'))
+        title(sprintf('Bitcompare failure test %s',tname))
+    end
+    
+    pass = pass && diffpass;
+    
+    
+    test_stats.pass = pass;
+    test_stats.diff = sum(xor(obits,bits'));
+    test_stats.cbits = bits';
+    test_stats.obits = obits;
+    
+endfunction
+
+function [dmod,cmod,omod,pass] = fmfsk_mod_test(Fs,Rs,bits,tname,M=2)
+    global mod_pass_fail_maxdiff;
+    %Run the C modulator
+    cmod = fmfsk_mod_c(Fs,Rs,bits);
+    %Set up and run the octave modulator
+    states.M = M;
+    states = fmfsk_init(Fs,Rs);
+
+    
+    omod = fmfsk_mod(states,bits)';
+    
+    dmod = cmod-omod;
+    pass = max(dmod)<(mod_pass_fail_maxdiff*length(dmod));
+    if !pass
+        printf('Mod failed test %s!\n',tname);
+    end
+endfunction
+
+% Random bit modulator test
+% Pass random bits through the modulators and compare
+function pass = test_mod_fdvbcfg_randbits
+    rand('state',1); 
+    randn('state',1);
+    bits = rand(1,19200)>.5;
+    [dmod,cmod,omod,pass] = fmfsk_mod_test(48000,2400,bits,"mod fdvbcfg randbits");
+    
+    if(!pass)
+        figure(1)
+        plot(dmod)
+        title("Difference between octave and C mod impl");
+    end
+    
+endfunction
+
+% run_sim copypasted from fsk_horus.m
+% simulation of tx and rx side, add noise, channel impairments ----------------------
+
+function stats = tfmfsk_run_sim(EbNodB,timing_offset=0,de=0,of=0,hpf=0,df=0,M=2)
+  global print_verbose;
+  test_frame_mode = 2;
+  frames = 70;
+  %EbNodB = 3;
+  %timing_offset = 0.0; % see resample() for clock offset below
+  %fading = 0;          % modulates tx power at 2Hz with 20dB fade depth, 
+                       % to simulate balloon rotating at end of mission
+
+  more off
+  rand('state',1); 
+  randn('state',1);
+  
+  Fs = 48000;
+  Rbit = 2400;
+
+  % ----------------------------------------------------------------------
+
+  fm_states.pre_emp = 0;
+  fm_states.de_emp  = de;
+  fm_states.Ts      = Fs/(Rbit*2);
+  fm_states.Fs      = Fs; 
+  fm_states.fc      = Fs/4; 
+  fm_states.fm_max  = 3E3;
+  fm_states.fd      = 5E3;
+  fm_states.output_filter = of;
+  fm_states = analog_fm_init(fm_states);
+
+  % ----------------------------------------------------------------------
+  
+  states = fmfsk_init(Fs,Rbit);
+
+  states.verbose = 0x1;
+  Rs = states.Rs;
+  nsym = states.nsym;
+  Fs = states.Fs;
+  nbit = states.nbit;
+
+  EbNo = 10^(EbNodB/10);
+  variance = states.Fs/(states.Rb*EbNo);
+
+  % set up tx signal with payload bits based on test mode
+
+  if test_frame_mode == 1
+     % test frame of bits, which we repeat for convenience when BER testing
+    test_frame = round(rand(1, states.nbit));
+    tx_bits = [];
+    for i=1:frames+1
+      tx_bits = [tx_bits test_frame];
+    end
+  end
+  if test_frame_mode == 2
+    % random bits, just to make sure sync algs work on random data
+    tx_bits = round(rand(1, states.nbit*(frames+1)));
+  end
+  if test_frame_mode == 3
+    % repeating sequence of all symbols
+    % great for initial test of demod if nothing else works, 
+    % look for this pattern in rx_bits
+
+       % ...10101...
+      tx_bits = zeros(1, states.nbit*(frames+1));
+      tx_bits(1:2:length(tx_bits)) = 1;
+
+  end
+
+  [b, a] = cheby1(4, 1, 300/Fs, 'high');   % 300Hz HPF to simulate FM radios
+  
+  tx_pmod = fmfsk_mod(states, tx_bits);
+  
+  tx = analog_fm_mod(fm_states, tx_pmod);
+  
+  if(timing_offset>0)
+    tx = resample(tx, 2000, 1999); % simulated 1000ppm sample clock offset
+  end
+  
+  %Add frequency drift
+  fdrift = df/Fs;
+  fshift = 2*pi*fdrift*(1:length(tx));
+  fshift = exp(j*(fshift.^2));
+  tx = tx.*fshift;
+  noise = sqrt(variance)*randn(length(tx),1);
+  rx    = tx + noise';
+  
+  %Demod by analog fm
+  rx    = analog_fm_demod(fm_states, rx);
+  
+  %High-pass filter to simulate the FM radios
+  if hpf>0
+    rx = filter(b,a,rx);
+  end
+
+  timing_offset_samples = round(timing_offset*states.Ts);
+  st = 1 + timing_offset_samples;
+  rx_bits_buf = zeros(1,2*nbit);
+
+  test_name = sprintf("tfmfsk run sim EbNodB:%d frames:%d timing_offset:%d df:%d",EbNodB,frames,timing_offset,df);
+  tstats = fmfsk_demod_xt(Fs,Rbit,rx',test_name,M); 
+
+  pass = tstats.pass;
+  obits = tstats.obits;
+  cbits = tstats.cbits;
+  
+  % Figure out BER of octave and C modems
+  bitcnt = length(tx_bits);
+  rx_bits = obits;
+  ber = 1;
+  ox = 1;
+  for offset = (1:400)
+    nerr = sum(xor(rx_bits(offset:length(rx_bits)),tx_bits(1:length(rx_bits)+1-offset)));
+    bern = nerr/(bitcnt-offset);
+    if(bern < ber)
+      ox = offset;
+      best_nerr = nerr;
+    end
+    ber = min([ber bern]);
+  end
+  offset = ox;
+  bero = ber;
+  ber = 1;
+  rx_bits = cbits;
+  ox = 1;
+  for offset = (1:400)
+    nerr = sum(xor(rx_bits(offset:length(rx_bits)),tx_bits(1:length(rx_bits)+1-offset)));
+    bern = nerr/(bitcnt-offset);
+    if(bern < ber)
+      ox = offset;
+      best_nerr = nerr;
+    end
+    ber = min([ber bern]);
+  end
+  offset = ox;
+  berc = ber;
+  
+  if print_verbose == 1
+    printf("C BER %f in test %s\n",berc,test_name);
+    printf("Oct BER %f in test %s\n",bero,test_name);
+  end
+  
+  stats.berc = berc;
+  stats.bero = bero;
+  stats.name = test_name;
+    % non-coherent BER theory calculation
+  % It was complicated, so I broke it up
+
+  ms = 2;
+  ns = (1:ms-1);
+  as = (-1).^(ns+1);
+  bs = (as./(ns+1));
+  
+  cs = ((ms-1)./ns);
+
+  ds = ns.*log2(ms);
+  es = ns+1;
+  fs = exp( -(ds./es)*EbNo );
+  
+  thrncoh = ((ms/2)/(ms-1)) * sum(bs.*((ms-1)./ns).*exp( -(ds./es)*EbNo ));
+  
+  stats.thrncoh = thrncoh;
+  stats.pass = pass;
+ endfunction
+
+
+function pass = ebno_battery_test(timing_offset,drift,hpf,deemp,outfilt)
+    global print_verbose;
+    %Range of EbNodB over which to test
+    ebnodbrange = (8:2:20);
+    ebnodbs = length(ebnodbrange);
+    
+    %Replication of other parameters for parcellfun
+    timingv     = repmat(timing_offset  ,1,ebnodbs);
+    driftv      = repmat(drift          ,1,ebnodbs);
+    hpfv        = repmat(hpf            ,1,ebnodbs);
+    deempv      = repmat(deemp          ,1,ebnodbs);
+    outfv       = repmat(outfilt        ,1,ebnodbs);
+    
+    statv = pararrayfun(floor(.75*nproc()),@tfmfsk_run_sim,ebnodbrange,timingv,deempv,outfv,hpfv,driftv);
+    %statv = arrayfun(@tfsk_run_sim,modev,ebnodbrange,timingv,fadingv,dfv,dav,mv);
+
+    passv = zeros(1,length(statv));
+    for ii=(1:length(statv))
+        passv(ii)=statv(ii).pass;
+        if statv(ii).pass
+            printf("Test %s passed\n",statv(ii).name);
+        else
+            printf("Test %s failed\n",statv(ii).name);
+        end
+    end
+    
+    %All pass flags are '1'
+    pass = sum(passv)>=length(passv);
+    %and no tests died
+    pass = pass && length(passv)==ebnodbs;
+    passv;
+    assert(pass)
+endfunction
+
+%Test with and without sample clock offset
+function pass = test_timing_var(drift,hpf,deemp,outfilt)
+    pass = ebno_battery_test(1,drift,hpf,deemp,outfilt)
+    assert(pass)
+    pass = ebno_battery_test(0,drift,hpf,deemp,outfilt)
+    assert(pass)
+endfunction
+
+%Test with and without 1 Hz/S freq drift
+function pass = test_drift_var(hpf,deemp,outfilt)
+    pass = test_timing_var(1,hpf,deemp,outfilt)
+    assert(pass)
+    pass = pass && test_timing_var(0,hpf,deemp,outfilt)
+    assert(pass)
+endfunction
+
+function pass = test_fmfsk_battery()
+    pass = test_mod_fdvbcfg_randbits;
+    assert(pass)
+    pass = pass && test_drift_var(1,1,1);
+    assert(pass)
+    if pass
+        printf("***** All tests passed! *****\n");
+    end
+endfunction
+
+function plot_fmfsk_bers(M=2)
+    %Range of EbNodB over which to test
+    ebnodbrange = (8:14);
+    ebnodbs = length(ebnodbrange);
+    
+    %Replication of other parameters for parcellfun
+    %Turn on all of the impairments
+    timingv     = repmat(1  ,1,ebnodbs);
+    driftv      = repmat(1  ,1,ebnodbs);
+    hpfv        = repmat(1  ,1,ebnodbs);
+    deempv      = repmat(1  ,1,ebnodbs);
+    outfv       = repmat(1  ,1,ebnodbs);
+    
+    statv = pararrayfun(nproc(),@tfmfsk_run_sim,ebnodbrange,timingv,deempv,outfv,hpfv,driftv);    
+    %statv = arrayfun(@tfsk_run_sim,modev,ebnodbrange,timingv,fadingv,dfv,dav,Mv);
+    
+    for ii = (1:length(statv))
+        stat = statv(ii);
+        berc(ii)=stat.berc;
+        bero(ii)=stat.bero;
+        berinc(ii)=stat.thrncoh;
+    end
+    clf;
+    figure(M)
+    
+    semilogy(ebnodbrange, berinc,sprintf('r;2FSK non-coherent theory;',M))
+    hold on;
+    semilogy(ebnodbrange, bero ,sprintf('g;Octave ME-FM-FSK Demod;',M))
+    semilogy(ebnodbrange, berc,sprintf('v;C ME-FM-FSK Demod;',M))
+    hold off;
+    grid("minor");
+    axis([min(ebnodbrange) max(ebnodbrange) 1E-5 1])
+    legend("boxoff");
+    xlabel("Eb/No (dB)");
+    ylabel("Bit Error Rate (BER)")
+ 
+endfunction
+
+xpass = test_fmfsk_battery
+plot_fmfsk_bers(2)
+
+if xpass
+    printf("***** All tests passed! *****\n");
+else
+    printf("***** Some test failed! Look back through output to find failed test *****\n");
+end
diff --git a/octave/tfsk.m b/octave/tfsk.m
new file mode 100644
index 0000000..33f75a8
--- /dev/null
+++ b/octave/tfsk.m
@@ -0,0 +1,611 @@
+% tfsk.m
+% Brady O'Brien 8 January 2016
+% David Rowe May 2020
+%
+% Automatic testing of C port of FSK modem by comparing to reference
+% Octave version. Currently just a subset of tests enabled in order to
+% run in a reasonable amount of time as ctests, but still trapping any
+% bit-rot.
+
+#{
+
+  FSK Modem automated test instructions:
+
+  1. Use cmake to build in debug mode to ensure unittest/tfsk is built:
+
+     $ cd ~/codec2
+     $ rm -Rf build_linux && mkdir build_linux
+     $ cd build_linux
+     $ cmake -DCMAKE_BUILD_TYPE=Debug ..
+     $ make
+
+  2 - Change tfsk_location below if required
+  3 - Ensure Octave packages are installed
+  4 - Start Octave and run tfsk.m. It will perform all tests automatically
+
+#}
+
+% tfsk executable path/file
+if getenv("PATH_TO_TFSK")
+  global tfsk_location = getenv("PATH_TO_TFSK")
+  printf("setting tfsk_location from env var: %s\n", getenv("PATH_TO_TFSK"));
+else
+  global tfsk_location = '../build_linux/unittest/tfsk';
+end
+
+% Set to 1 for verbose printouts
+global print_verbose = 0;
+global mod_pass_fail_maxdiff = 1e-3/5000;
+
+fsk_horus_as_a_lib=1;
+fsk_horus;
+pkg load signal;
+% not needed unless parallel tests running
+%pkg load parallel;
+graphics_toolkit('gnuplot');
+
+function print_result(test_name, result)
+  printf("%s", test_name);
+  for i=1:(40-length(test_name))
+    printf(".");
+  end
+  printf(": %s\n", result);  
+end
+
+function mod = fsk_mod_c(Fs,Rs,f1,fsp,bits,M)
+    global tfsk_location;
+    %command to be run by system to launch the modulator
+    command = sprintf('%s M %d %d %d %d %d 0 fsk_mod_ut_bitvec fsk_mod_ut_modvec fsk_mod_ut_log.txt',tfsk_location,M,f1,fsp,Fs,Rs);
+    %save input bits into a file
+    bitvecfile = fopen('fsk_mod_ut_bitvec','wb+');
+    fwrite(bitvecfile,bits,'uint8');
+    fclose(bitvecfile);
+    
+    %run the modulator
+    system(command);
+    
+    modvecfile = fopen('fsk_mod_ut_modvec','rb');
+    mod = fread(modvecfile,'single');
+    fclose(modvecfile);
+    
+endfunction
+
+
+%Compare 2 vectors, fail if they are not close enough
+function pass = vcompare(vc,voct,vname,tname,tol,pnum)
+    global print_verbose;
+    %Get delta of vectors
+    dvec = abs(abs(vc - voct));     
+    
+    %Normalize difference
+    dvec = dvec ./ abs(max(abs(voct))+1e-8);
+    
+    maxdvec = abs(max(dvec));
+    pass = maxdvec<tol;
+    if print_verbose == 1
+        printf('  Comparing vectors %s in test %s. Diff is %f\n',vname,tname,maxdvec);
+    end
+    if pass == 0
+        printf('\n*** vcompare failed %s in test %s. Diff: %f Tol: %f\n\n',vname,tname,maxdvec,tol);
+        
+        titlestr = sprintf('Diff between C and Octave of %s for %s',vname,tname)
+        figure(10+pnum*2)
+        plot(abs(dvec))
+        title(titlestr)
+        
+        figure(11+pnum*2)
+        plot((1:length(vc)),abs(vc),(1:length(voct)),abs(voct))
+    
+    end
+    
+endfunction
+
+% Run C, then Octave version of demod, and compare results
+function test_stats = fsk_demod_xt(Fs,Rs,f1,fsp,mod,tname,M=2,lock_nin=0)
+    global print_verbose;
+    global tfsk_location;
+    %Name of executable containing the modulator
+    fsk_demod_ex_file = '../build/unittest/tfsk';
+    modvecfilename = sprintf('fsk_demod_ut_modvec_%d',getpid());
+    bitvecfilename = sprintf('fsk_demod_ut_bitvec_%d',getpid());
+    tvecfilename = sprintf('fsk_demod_ut_tracevec_%d.txt',getpid());
+    
+    %command to be run by system to launch the demod
+    command = sprintf('%s D %d %d %d %d %d %d %s %s %s',tfsk_location,M,f1,fsp,Fs,Rs,lock_nin,modvecfilename,bitvecfilename,tvecfilename);
+    
+    %save modulated input into a file
+    modvecfile = fopen(modvecfilename,'wb+');
+    fwrite(modvecfile,mod,'single');
+    fclose(modvecfile);
+    
+    %run the modulator
+    system(command);
+    
+    bitvecfile = fopen(bitvecfilename,'rb');
+    bits = fread(bitvecfile,'uint8');
+    fclose(bitvecfile);
+    bits = bits!=0;
+    
+    %Load test vec dump
+    load(tvecfilename)
+    
+    %Clean up files
+    delete(bitvecfilename);
+    delete(modvecfilename);
+    delete(tvecfilename);
+    
+    o_f1_dc = [];
+    o_f2_dc = [];
+    o_f3_dc = [];
+    o_f4_dc = [];
+    o_f1_int = [];
+    o_f2_int = [];
+    o_f3_int = [];
+    o_f4_int = [];
+    o_f1 = [];
+    o_f2 = [];
+    o_f3 = [];
+    o_f4 = [];
+    o_EbNodB = [];
+    o_ppm = [];
+    o_Sf = [];
+    o_fest = []; o_mask = []; o_fest2 = [];
+    o_rx_timing = [];
+    o_norm_rx_timing = [];
+    o_nin = [];
+    %Run octave demod, dump some test vectors
+    states = fsk_horus_init(Fs,Rs,M);
+
+    Ts = states.Ts;
+    P = states.P;
+    states.ftx(1) = f1;
+    states.ftx(2) = f1+fsp;
+    states.ftx(3) = f1+fsp*2;
+    states.ftx(4) = f1+fsp*3;
+    states.tx_tone_separation = fsp;
+    states.dF = 0;
+    modin = mod;
+    obits = [];
+    while length(modin)>=states.nin
+        ninold = states.nin;
+        states = est_freq(states, modin(1:states.nin), states.M);
+        [bitbuf,states] = fsk_demod(states, modin(1:states.nin));
+        if lock_nin states.nin = states.N; end
+
+        modin=modin(ninold+1:length(modin));
+        obits = [obits bitbuf];
+        
+        %Save other parameters
+        o_f1_dc = [o_f1_dc states.f_dc(1,:)];
+        o_f2_dc = [o_f2_dc states.f_dc(2,:)];
+        o_f1_int = [o_f1_int states.f_int(1,:)];
+        o_f2_int = [o_f2_int states.f_int(2,:)];
+        o_EbNodB = [o_EbNodB states.EbNodB];
+        o_ppm = [o_ppm states.ppm];
+        o_rx_timing = [o_rx_timing states.rx_timing];
+        o_norm_rx_timing = [o_norm_rx_timing states.norm_rx_timing];
+        o_Sf = [o_Sf states.Sf'];
+        o_f1 = [o_f1 states.f(1)];
+        o_f2 = [o_f1 states.f(2)];
+        o_fest = [o_fest states.f];
+        o_mask = [o_mask states.mask];
+        o_fest2 = [o_fest2 states.f2];
+        o_nin = [o_nin states.nin];
+        if M==4
+            o_f3_dc = [o_f3_dc states.f_dc(3,:)];
+	    o_f4_dc = [o_f4_dc states.f_dc(4,:)];
+            o_f3_int = [o_f3_int states.f_int(3,:)];
+            o_f4_int = [o_f4_int states.f_int(4,:)];
+            o_f3 = [o_f1 states.f(3)];
+            o_f4 = [o_f1 states.f(4)];
+        end
+    end
+        
+    assert(vcompare(o_Sf,  t_Sf,'fft est',tname,.001,1));
+    assert(vcompare(o_fest,  t_f_est,'f est',tname,.001,2));
+    assert(vcompare(o_mask,  t_mask,'f2 mask',tname,.001,3));
+    assert(vcompare(o_fest2,  t_f2_est,'f2 est',tname,.001,16));
+    o_fest2(1:12)
+    t_f2_est(1:12)
+    assert(vcompare(o_f1_dc,      t_f1_dc,    'f1 dc',    tname,.01,8));
+    assert(vcompare(o_f2_dc,      t_f2_dc,    'f2 dc',    tname,.01,9));
+    assert(vcompare(o_f2_int,     t_f2_int,   'f2 int',   tname,.01,10));
+    assert(vcompare(o_f1_int,     t_f1_int,   'f1 int',   tname,.01,11));
+    if M==4
+        assert(vcompare(o_f3_dc,      t_f3_dc,    'f3 dc',    tname,.01,4))
+        assert(vcompare(o_f4_dc,      t_f4_dc,    'f4 dc',    tname,.01,5));
+        assert(vcompare(o_f3_int,     t_f3_int,   'f3 int',   tname,.01,6));
+        assert(vcompare(o_f4_int,     t_f4_int,   'f4 int',   tname,.01,7));
+    end
+  
+    assert(vcompare(o_rx_timing,  t_rx_timing,'rx timing',tname,.02,3));
+ 
+    % Much larger tolerances on unimportant statistics
+    assert(vcompare(o_ppm   ,     t_ppm,      'ppm',      tname,.02,12));
+    assert(vcompare(o_EbNodB,     t_EbNodB,'EbNodB',      tname,.02,13));
+    assert(vcompare(o_nin,        t_nin,      'nin',      tname,.0001,14));
+    assert(vcompare(o_norm_rx_timing,  t_norm_rx_timing,'norm rx timing',tname,.02,15));
+    diffpass = sum(xor(obits,bits'))<4;
+    diffbits = sum(xor(obits,bits'));
+        
+    if diffpass==0
+        printf('\n***bitcompare test failed test %s diff %d\n\n',tname,sum(xor(obits,bits')))
+        figure(15)
+        plot(xor(obits,bits'))
+        title(sprintf('Bitcompare failure test %s',tname))
+    end
+    
+    assert(diffpass);    
+    
+    test_stats.pass = 1;
+    test_stats.diff = sum(xor(obits,bits'));
+    test_stats.cbits = bits';
+    test_stats.obits = obits;
+endfunction
+
+
+function [dmod,cmod,omod,pass] = fsk_mod_test(Fs,Rs,f1,fsp,bits,tname,M=2)
+    global mod_pass_fail_maxdiff;
+    %Run the C modulator
+    cmod = fsk_mod_c(Fs,Rs,f1,fsp,bits,M);
+    %Set up and run the octave modulator
+    states.M = M;
+    states = fsk_horus_init(Fs,Rs,M);
+    
+    states.ftx(1) = f1;
+    states.ftx(2) = f1+fsp;
+    
+    if states.M == 4
+        states.ftx(3) = f1+fsp*2;
+        states.ftx(4) = f1+fsp*3;
+    end
+    
+    states.dF = 0;
+    omod = fsk_mod(states,bits);
+
+    dmod = cmod-omod;
+    pass = max(dmod)<(mod_pass_fail_maxdiff*length(dmod));
+    if !pass
+        printf('Mod failed test %s!\n',tname);
+    end
+endfunction
+
+% Random bit modulator test
+% Pass random bits through the modulators and compare
+function pass = test_mod_horuscfg_randbits
+    rand('state',1); 
+    randn('state',1);
+    bits = rand(1,10000)>.5;
+    [dmod,cmod,omod,pass] = fsk_mod_test(8000,100,1200,1600,bits,"mod horuscfg randbits");
+    
+    if(!pass)
+        figure(1)
+        plot(dmod)
+        title("Difference between octave and C mod impl");
+    end
+    print_result("test_mod_horuscfg_randbits", "OK");
+endfunction
+
+% Random bit modulator test
+% Pass random bits through the modulators and compare
+function pass = test_mod_horuscfgm4_randbits
+    rand('state',1); 
+    randn('state',1);
+    bits = rand(1,10000)>.5;
+    [dmod,cmod,omod,pass] = fsk_mod_test(8000,100,1200,1600,bits,"mod horuscfg randbits",4);
+    
+    if(!pass)
+        figure(1)
+        plot(dmod)
+        title("Difference between octave and C mod impl");
+    end
+    print_result("test_mod_horuscfgm4_randbits", "OK");
+    
+endfunction
+
+
+% A big ol' channel impairment tester shamelessly taken from fsk_horus
+% This throws some channel imparment or another at the C and octave
+% modem so they may be compared.
+function stats = tfsk_run_sim(test_frame_mode,EbNodB,timing_offset,fading,df,M=2,frames=50,lock_nin=0)
+  #{  
+  timing_offset [0|1]  enable a 1000ppm sample clock offset
+  fading        [0|1]  modulates tx power at 2Hz with 20dB fade depth, 
+                       e.g. to simulate balloon rotating at end of mission
+  df                   tx tone freq drift in Hz/s
+  lock_nin      [0|1]  locks nin to a constant which makes tests much simpler by breaking feedback loop
+  #}
+  global print_verbose;
+  
+  more off
+  rand('state',1); 
+  randn('state',1);
+
+  % ----------------------------------------------------------------------
+
+  % sm2000 config ------------------------
+  %states = fsk_horus_init(96000, 1200);
+  %states.f1_tx = 4000;
+  %states.f2_tx = 5200;
+  
+  if test_frame_mode == 2
+    % horus rtty config ---------------------
+    states = fsk_horus_init(8000, 100, M);
+    states.f1_tx = 1200;
+    states.f2_tx = 1600;
+  end
+
+  if test_frame_mode == 4
+    % horus rtty config ---------------------
+    states = fsk_horus_init(8000, 100, M);
+    states.f1_tx = 1200;
+    states.f2_tx = 1600;
+    states.tx_bits_file = "horus_tx_bits_rtty.txt"; % Octave file of bits we FSK modulate
+    
+  end
+                               
+  if test_frame_mode == 5
+    % horus binary config ---------------------
+    states = fsk_horus_init(8000, 100, M);
+    states.f1_tx = 1200;
+    states.f2_tx = 1600;
+    %%%states.tx_bits_file = "horus_tx_bits_binary.txt"; % Octave file of bits we FSK modulate
+	states.tx_bits_file = "horus_payload_rtty.txt";
+  end
+
+  % ----------------------------------------------------------------------
+
+  states.verbose = 0;
+  N = states.N;
+  P = states.P;
+  Rs = states.Rs;
+  nsym = states.nsym;
+  Fs = states.Fs;
+  states.df = df;
+  states.M = M;
+
+  EbNo = 10^(EbNodB/10);
+  variance = states.Fs/(states.Rs*EbNo*states.bitspersymbol);
+
+  % set up tx signal with payload bits based on test mode
+
+  if test_frame_mode == 1
+     % test frame of bits, which we repeat for convenience when BER testing
+    test_frame = round(rand(1, states.nsym));
+    tx_bits = [];
+    for i=1:frames+1
+      tx_bits = [tx_bits test_frame];
+    end
+  end
+  if test_frame_mode == 2
+    % random bits, just to make sure sync algs work on random data
+    tx_bits = round(rand(1, states.nbit*(frames+1)));
+  end
+  if test_frame_mode == 3
+    % ...10101... sequence
+    tx_bits = zeros(1, states.nsym*(frames+1));
+    tx_bits(1:2:length(tx_bits)) = 1;
+  end
+ 
+  if (test_frame_mode == 4) || (test_frame_mode == 5)
+
+    % load up a horus msg from disk and modulate that
+
+    test_frame = load(states.tx_bits_file);
+    ltf = length(test_frame);
+    ntest_frames = ceil((frames+1)*nsym/ltf);
+    tx_bits = [];
+    for i=1:ntest_frames
+      tx_bits = [tx_bits test_frame];
+    end
+  end
+  
+  f1 = states.f1_tx;
+  fsp = states.f2_tx-f1;
+  states.ftx(1) = f1;
+  states.ftx(2) = f1+fsp;
+    
+  if states.M == 4
+	states.ftx(3) = f1+fsp*2;
+	states.ftx(4) = f1+fsp*3;
+  end
+
+  tx = fsk_mod(states, tx_bits);
+
+  if timing_offset
+    tx = resample(tx, 1000, 1001); % simulated 1000ppm sample clock offset
+  end
+  
+  if fading
+     ltx = length(tx);
+     tx = tx .* (1.1 + cos(2*pi*2*(0:ltx-1)/Fs))'; % min amplitude 0.1, -20dB fade, max 3dB
+  end
+
+  noise = sqrt(variance)*randn(length(tx),1);
+  rx    = tx + noise;
+  
+  test_name = sprintf("tfsk run sim EbNodB:%d frames:%d timing_offset:%d fading:%d df:%d",EbNodB,frames,timing_offset,fading,df);
+  tstats = fsk_demod_xt(Fs,Rs,states.f1_tx,fsp,rx,test_name,M,lock_nin);
+  
+  pass = tstats.pass;
+  obits = tstats.obits;
+  cbits = tstats.cbits;
+  
+  % Figure out BER of octave and C modems
+  bitcnt = length(tx_bits);
+  rx_bits = obits;
+  ber = 1;
+  ox = 1;
+  for offset = (1:100)
+    nerr = sum(xor(rx_bits(offset:length(rx_bits)),tx_bits(1:length(rx_bits)+1-offset)));
+    bern = nerr/(bitcnt-offset);
+    if(bern < ber)
+      ox = offset;
+      best_nerr = nerr;
+    end
+    ber = min([ber bern]);
+  end
+  offset = ox;
+  bero = ber;
+  ber = 1;
+  rx_bits = cbits;
+  ox = 1;
+  for offset = (1:100)
+    nerr = sum(xor(rx_bits(offset:length(rx_bits)),tx_bits(1:length(rx_bits)+1-offset)));
+    bern = nerr/(bitcnt-offset);
+    if(bern < ber)
+      ox = offset;
+      best_nerr = nerr;
+    end
+    ber = min([ber bern]);
+  end
+  offset = ox;
+  berc = ber;
+  stats.berc = berc;
+  stats.bero = bero;
+  stats.name = test_name;
+  % coherent BER theory calculation
+  
+  stats.thrcoh = .5*(M-1)*erfc(sqrt( (log2(M)/2) * EbNo ));
+  
+  % non-coherent BER theory calculation
+  % It was complicated, so I broke it up
+
+  ms = M;
+  ns = (1:ms-1);
+  as = (-1).^(ns+1);
+  bs = (as./(ns+1));
+  
+  cs = ((ms-1)./ns);
+
+  ds = ns.*log2(ms);
+  es = ns+1;
+  fs = exp( -(ds./es)*EbNo );
+  
+  thrncoh = ((ms/2)/(ms-1)) * sum(bs.*((ms-1)./ns).*exp( -(ds./es)*EbNo ));
+  
+  stats.thrncoh = thrncoh;
+  stats.pass = pass;
+endfunction
+
+% run a bunch of tests at a range of EbNo's in parallel
+function pass = ebno_battery_test(timing_offset,fading,df,M)
+    %Range of EbNodB over which to test
+    ebnodbrange = (5:2:13);
+    ebnodbs = length(ebnodbrange);
+    
+    mode = 2;
+    %Replication of other parameters for parcellfun
+    modev   = repmat(mode,1,ebnodbs);
+    timingv = repmat(timing_offset,1,ebnodbs);
+    fadingv = repmat(fading,1,ebnodbs);
+    dfv     = repmat(df,1,ebnodbs);
+    mv      = repmat(M,1,ebnodbs);
+
+    statv = pararrayfun(floor(1.25*nproc()),@tfsk_run_sim,modev,ebnodbrange,timingv,fadingv,dfv,mv);
+    passv = zeros(1,length(statv));
+    for ii=(1:length(statv))
+        passv(ii)=statv(ii).pass;
+        if statv(ii).pass
+            printf("Test %s passed\n",statv(ii).name);
+        else
+            printf("Test %s failed\n",statv(ii).name);
+        end
+    end
+    
+    %All pass flags are '1'
+    pass = sum(passv)>=length(passv);
+    %and no tests died
+    pass = pass && length(passv)==ebnodbs;
+    passv;
+    assert(pass)
+endfunction
+
+%Test with and without sample clock offset
+function pass = test_timing_var(df,M)
+    pass = ebno_battery_test(1,0,df,M)
+    assert(pass)
+    pass = pass && ebno_battery_test(0,0,df,M)
+    assert(pass)
+endfunction
+
+%Test with and without 1 Hz/S freq drift
+function pass = test_drift_var(M)
+    pass = test_timing_var(1,1,M)
+    pass = pass && test_timing_var(0,1,M)
+    assert(pass)
+endfunction
+
+function pass = test_fsk_battery()
+    pass = test_mod_horuscfg_randbits;
+    pass = pass && test_mod_horuscfgm4_randbits;
+    pass = pass && test_drift_var(4);
+    assert(pass)
+    pass = pass && test_drift_var(2);
+    assert(pass)
+    if pass
+        printf("***** All tests passed! *****\n");
+    end
+endfunction
+
+function plot_fsk_bers(M=2)
+    %Range of EbNodB over which to plot
+    ebnodbrange = (4:13);
+    
+    berc = ones(1,length(ebnodbrange));
+    bero = ones(1,length(ebnodbrange));
+    berinc = ones(1,length(ebnodbrange));
+    beric = ones(1,length(ebnodbrange));
+    ebnodbs = length(ebnodbrange)
+    mode = 2;
+    %Replication of other parameters for parcellfun
+    modev   = repmat(mode,1,ebnodbs);
+    timingv = repmat(1,1,ebnodbs);
+    fadingv = repmat(0,1,ebnodbs);
+    dfv     = repmat(1,1,ebnodbs);
+    Mv     = repmat(M,1,ebnodbs);
+        
+    statv = pararrayfun(floor(nproc()),@tfsk_run_sim,modev,ebnodbrange,timingv,fadingv,dfv,Mv);
+    %statv = arrayfun(@tfsk_run_sim,modev,ebnodbrange,timingv,fadingv,dfv,Mv);
+    
+    for ii = (1:length(statv))
+        stat = statv(ii);
+        berc(ii)=stat.berc;
+        bero(ii)=stat.bero;
+        berinc(ii)=stat.thrncoh;
+        beric(ii) = stat.thrcoh;
+    end
+    clf;
+    figure(M)
+    
+    semilogy(ebnodbrange, berinc,sprintf('r;%dFSK non-coherent theory;',M))
+    hold on;
+    semilogy(ebnodbrange, beric ,sprintf('g;%dFSK coherent theory;',M))
+    semilogy(ebnodbrange, bero ,sprintf('b;Octave fsk horus %dFSK Demod;',M))
+    semilogy(ebnodbrange, berc,sprintf('+;C fsk horus %dFSK Demod;',M))
+    hold off;
+    grid("minor");
+    axis([min(ebnodbrange) max(ebnodbrange) 1E-5 1])
+    legend("boxoff");
+    xlabel("Eb/No (dB)");
+    ylabel("Bit Error Rate (BER)")
+ 
+endfunction
+
+% We kick off tests here ------------------------------------------------------
+   
+pass = 0; ntests = 0;
+pass += test_mod_horuscfg_randbits; ntests++;
+pass += test_mod_horuscfgm4_randbits; ntests++;
+stats = tfsk_run_sim(test_frame_mode=2,EbNodB=5,timing_offset=0,fading=0,df=1,M=4,frames=10,lock_nin=1); ntests++;
+if stats.pass
+  print_result("Demod 10 frames nin locked", "OK");
+  pass += stats.pass; 
+end
+stats = tfsk_run_sim(test_frame_mode=2,EbNodB=5,timing_offset=1,fading=0,df=1,M=4,frames=10,lock_nin=0); ntests++;
+if stats.pass
+  print_result("Demod 10 frames", "OK");
+  pass += stats.pass;
+end
+printf("tests: %d passed: %d ", ntests, pass);
+if ntests == pass printf("PASS\n"); else printf("FAIL\n"); end
diff --git a/octave/tfsk_2400a.m b/octave/tfsk_2400a.m
new file mode 100644
index 0000000..87a1e25
--- /dev/null
+++ b/octave/tfsk_2400a.m
@@ -0,0 +1,648 @@
+% tfsk.m
+% Author: Brady O'Brien 8 January 2016
+
+
+
+%   Copyright 2016 David Rowe
+%  
+%  All rights reserved.
+%
+%  This program is free software; you can redistribute it and/or modify
+%  it under the terms of the GNU Lesser General Public License version 2.1, as
+%  published by the Free Software Foundation.  This program is
+%  distributed in the hope that it will be useful, but WITHOUT ANY
+%  WARRANTY; without even the implied warranty of MERCHANTABILITY or
+%  FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public
+%  License for more details.
+%
+%  You should have received a copy of the GNU Lesser General Public License
+%  along with this program; if not, see <http://www.gnu.org/licenses/>.
+
+
+% Octave script to check c port of fsk_horus against the fsk_horus.m
+%
+% [X] - Functions to wrap around fsk_mod and fsk_demod executables
+%     [X] - fsk_mod
+%     [X] - fsk_demod
+% [X] - Functions to wrap around octave and c implementations, pass
+%       same dataset, compare outputs, and give clear go/no-go
+%     [X] - fsk_mod_test
+%     [X] - fsk_demod_test
+% [X] - Port of run_sim and EbNodB curve test battery
+% [X] - Extract and compare more parameters from demod
+% [X] - Run some tests in parallel
+
+#{
+
+  FSK Modem automated test instructions:
+
+  1. Use cmake to build in debug mode to ensure unittest/tfsk is built:
+
+     $ cd ~/codec2
+     $ rm -Rf build_linux && mkdir build_linux
+     $ cd build_linux
+     $ cmake -DCMAKE_BUILD_TYPE=Debug ..
+     $ make
+
+  2 - Change tfsk_location below if required
+  3 - Ensure Octave packages signal and parallel are installed
+  4 - Start Octave and run tfsk_2400a.m. It will perform all tests automatically
+
+#}
+
+
+
+%tfsk executable path/file
+global tfsk_location = '../build_linux/unittest/tfsk';
+
+%Set to 1 for verbose printouts
+global print_verbose = 0;
+
+
+fsk_horus_as_a_lib = 1; % make sure calls to test functions at bottom are disabled
+%fsk_horus_2fsk;  
+fsk_horus
+pkg load signal;
+pkg load parallel;
+graphics_toolkit('gnuplot');
+
+
+global mod_pass_fail_maxdiff = 1e-3/5000;
+
+function mod = fsk_mod_c(Fs,Rs,f1,fsp,bits,M)
+    global tfsk_location;
+    %command to be run by system to launch the modulator
+    command = sprintf('%s MX %d %d %d %d %d fsk_mod_ut_bitvec fsk_mod_ut_modvec fsk_mod_ut_log.txt',tfsk_location,M,f1,fsp,Fs,Rs);
+    %save input bits into a file
+    bitvecfile = fopen('fsk_mod_ut_bitvec','wb+');
+    fwrite(bitvecfile,bits,'uint8');
+    fclose(bitvecfile);
+    
+    %run the modulator
+    system(command);
+    
+    modvecfile = fopen('fsk_mod_ut_modvec','rb');
+    mod = fread(modvecfile,'single');
+    fclose(modvecfile);
+    
+endfunction
+
+
+%Compare 2 vectors, fail if they are not close enough
+function pass = vcompare(vc,voct,vname,tname,tol,pnum)
+    global print_verbose;
+    %Get delta of vectors
+    dvec = abs(abs(vc)-abs(voct));     
+    
+    %Normalize difference
+    dvec = dvec ./ abs(max(abs(voct))+1e-8);
+    
+    maxdvec = abs(max(dvec));
+    pass = maxdvec<tol;
+    
+    if print_verbose == 1
+        printf('  Comparing vectors %s in test %s. Diff is %f\n',vname,tname,maxdvec);
+    end
+    
+    if pass == 0
+        printf('\n*** vcompare failed %s in test %s. Diff: %f Tol: %f\n\n',vname,tname,maxdvec,tol);
+        
+        titlestr = sprintf('Diff between C and Octave of %s for %s',vname,tname)
+        figure(10+pnum*2)
+        plot(abs(dvec))
+        title(titlestr)
+        
+        figure(11+pnum*2)
+        plot((1:length(vc)),abs(vc),(1:length(voct)),abs(voct))
+    
+    end
+    
+endfunction
+
+function test_stats = fsk_demod_xt(Fs,Rs,f1,fsp,mod,tname,M=2)
+    global tfsk_location;
+    global print_verbose;
+    %Name of executable containing the modulator
+    fsk_demod_ex_file = '../build/unittest/tfsk';
+    modvecfilename = sprintf('fsk_demod_ut_modvec_%d',getpid());
+    bitvecfilename = sprintf('fsk_demod_ut_bitvec_%d',getpid());
+    tvecfilename = sprintf('fsk_demod_ut_tracevec_%d.txt',getpid());
+    
+    %command to be run by system to launch the demod
+    command = sprintf('%s DX %d %d %d %d %d %s %s %s',tfsk_location,M,f1,fsp,Fs,Rs,modvecfilename,bitvecfilename,tvecfilename);
+    
+    %save modulated input into a file
+    modvecfile = fopen(modvecfilename,'wb+');
+    fwrite(modvecfile,mod,'single');
+    fclose(modvecfile);
+    
+    %run the modulator
+    system(command);
+    
+    bitvecfile = fopen(bitvecfilename,'rb');
+    bits = fread(bitvecfile,'uint8');
+    fclose(bitvecfile);
+    bits = bits!=0;
+    
+    %Load test vec dump
+    load(tvecfilename);
+    
+    %Clean up files
+    delete(bitvecfilename);
+    delete(modvecfilename);
+    delete(tvecfilename);
+    
+    o_f1_dc = [];
+    o_f2_dc = [];
+    o_f3_dc = [];
+    o_f4_dc = [];
+    o_f1_int = [];
+    o_f2_int = [];
+    o_f3_int = [];
+    o_f4_int = [];
+    o_f1 = [];
+    o_f2 = [];
+    o_f3 = [];
+    o_f4 = [];
+    o_EbNodB = [];
+    o_ppm = [];
+    o_Sf = [];
+    o_fest = [];
+    o_rx_timing = [];
+    o_norm_rx_timing = [];
+    o_nin = [];
+    %Run octave demod, dump some test vectors
+    states = fsk_horus_init_hbr(Fs,10,Rs,M);
+    Ts = states.Ts;
+    P = states.P;
+    states.ftx(1) = f1;
+    states.ftx(2) = f1+fsp;
+    states.ftx(3) = f1+fsp*2;
+    states.ftx(4) = f1+fsp*3;
+    states.dA = 1;
+    states.dF = 0;
+    modin = mod;
+    obits = [];
+    while length(modin)>=states.nin
+        ninold = states.nin;
+        states = est_freq(states, modin(1:states.nin), states.M);
+        [bitbuf,states] = fsk_horus_demod(states, modin(1:states.nin));
+        modin=modin(ninold+1:length(modin));
+        obits = [obits bitbuf];
+        
+        %Save other parameters
+        o_f1_dc = [o_f1_dc states.f_dc(1,1:states.Nmem-Ts/P)];
+        o_f2_dc = [o_f2_dc states.f_dc(2,1:states.Nmem-Ts/P)];
+        o_f1_int = [o_f1_int states.f_int(1,:)];
+        o_f2_int = [o_f2_int states.f_int(2,:)];
+        o_EbNodB = [o_EbNodB states.EbNodB];
+        o_ppm = [o_ppm states.ppm];
+        o_rx_timing = [o_rx_timing states.rx_timing];
+        o_norm_rx_timing = [o_norm_rx_timing states.norm_rx_timing];
+        o_Sf = [o_Sf states.Sf'];
+        o_f1 = [o_f1 states.f(1)];
+        o_f2 = [o_f1 states.f(2)];
+        o_fest = [o_fest states.f];
+        o_nin = [o_nin states.nin];
+        if M==4
+			o_f3_dc = [o_f3_dc states.f_dc(3,1:states.Nmem-Ts/P)];
+			o_f4_dc = [o_f4_dc states.f_dc(4,1:states.Nmem-Ts/P)];
+			o_f3_int = [o_f3_int states.f_int(3,:)];
+			o_f4_int = [o_f4_int states.f_int(4,:)];
+			o_f3 = [o_f1 states.f(3)];
+			o_f4 = [o_f1 states.f(4)];
+        end
+    end
+    
+    %close all
+    
+    pass = 1;
+    
+    pass = vcompare(o_Sf,  t_fft_est(1:length(o_Sf)),'fft est',tname,1,1) && pass;
+    pass = vcompare(o_fest,  t_f_est,'f est',tname,1,2) && pass;
+    pass = vcompare(o_rx_timing,  t_rx_timing,'rx timing',tname,1,3) && pass;
+    
+    if M==4
+        pass = vcompare(o_f3_dc,      t_f3_dc,    'f3 dc',    tname,1,4) && pass;
+        pass = vcompare(o_f4_dc,      t_f4_dc,    'f4 dc',    tname,1,5) && pass;
+        pass = vcompare(o_f3_int,     t_f3_int,   'f3 int',   tname,1,6) && pass;
+        pass = vcompare(o_f4_int,     t_f4_int,   'f4 int',   tname,1,7) && pass;
+    end
+    
+    pass = vcompare(o_f1_dc,      t_f1_dc,    'f1 dc',    tname,1,8) && pass;
+    pass = vcompare(o_f2_dc,      t_f2_dc,    'f2 dc',    tname,1,9) && pass;
+    pass = vcompare(o_f2_int,     t_f2_int,   'f2 int',   tname,1,10) && pass;
+    pass = vcompare(o_f1_int,     t_f1_int,   'f1 int',   tname,1,11) && pass;
+
+    pass = vcompare(o_ppm   ,     t_ppm,      'ppm',      tname,1,12) && pass;
+    pass = vcompare(o_EbNodB,     t_EbNodB,'EbNodB',      tname,1,13) && pass;
+    pass = vcompare(o_nin,        t_nin,      'nin',      tname,1,14) && pass;
+    pass = vcompare(o_norm_rx_timing,  t_norm_rx_timing,'norm rx timing',tname,1,15) && pass;
+    
+    
+    diffpass = sum(xor(obits,bits'))<5;
+    diffbits = sum(xor(obits,bits'));
+    
+    if print_verbose == 1
+        printf('%d bit diff in test %s\n',diffbits,tname);
+    end
+    if diffpass==0
+        printf('\n***bitcompare test failed test %s diff %d\n\n',tname,sum(xor(obits,bits')))
+        figure(15)
+        plot(xor(obits,bits'))
+        title(sprintf('Bitcompare failure test %s',tname))
+    end
+    
+    pass = pass && diffpass;
+    
+    assert(pass);
+    
+    test_stats.pass = pass;
+    test_stats.diff = sum(xor(obits,bits'));
+    test_stats.cbits = bits';
+    test_stats.obits = obits;
+    
+endfunction
+
+function [dmod,cmod,omod,pass] = fsk_mod_test(Fs,Rs,f1,fsp,bits,tname,M=2)
+    global mod_pass_fail_maxdiff;
+    %Run the C modulator
+    cmod = fsk_mod_c(Fs,Rs,f1,fsp,bits,M);
+    %Set up and run the octave modulator
+    states.M = M;
+    states = fsk_horus_init_hbr(Fs,10,Rs,M);
+    
+    states.ftx(1) = f1;
+    states.ftx(2) = f1+fsp;
+    
+    if states.M == 4
+		states.ftx(3) = f1+fsp*2;
+		states.ftx(4) = f1+fsp*3;
+    end
+    
+    states.dA = [1 1 1 1]; 
+    states.dF = 0;
+    omod = fsk_horus_mod(states,bits);
+    
+    dmod = cmod-omod;
+    pass = max(dmod)<(mod_pass_fail_maxdiff*length(dmod));
+    if !pass
+        printf('Mod failed test %s!\n',tname);
+    end
+endfunction
+
+% Random bit modulator test
+% Pass random bits through the modulators and compare
+function pass = test_mod_2400a_randbits
+    rand('state',1); 
+    randn('state',1);
+    bits = rand(1,96000)>.5;
+    [dmod,cmod,omod,pass] = fsk_mod_test(48000,1200,1200,1200,bits,"mod 2400a randbits",4);
+    
+    if(!pass)
+        figure(1)
+        plot(dmod)
+        title("Difference between octave and C mod impl");
+    end
+    
+endfunction
+
+
+% A big ol' channel impairment tester
+% Shamlessly taken from fsk_horus
+% This throws some channel imparment or another at the C and octave modem so they 
+% may be compared.
+function stats = tfsk_run_sim(test_frame_mode,EbNodB,timing_offset,fading,df,dA,M=2)
+  global print_verbose;
+  frames = 190;
+  %EbNodB = 10;
+  %timing_offset = 2.0; % see resample() for clock offset below
+  %fading = 0;          % modulates tx power at 2Hz with 20dB fade depth, 
+                       % to simulate balloon rotating at end of mission
+  %df     = 0;          % tx tone freq drift in Hz/s
+  %dA     = 1;          % amplitude imbalance of tones (note this affects Eb so not a gd idea)
+
+  more off
+  rand('state',10); 
+  randn('state',10);
+
+  % ----------------------------------------------------------------------
+
+  % sm2000 config ------------------------
+  %states = fsk_horus_init(96000, 1200);
+  %states.f1_tx = 4000;
+  %states.f2_tx = 5200;
+  
+  if test_frame_mode == 2
+    % 2400A config
+    states = fsk_horus_init_hbr(48000,10, 1200, M);
+    states.f1_tx = 1200;
+    states.f2_tx = 2400;
+    states.f3_tx = 3600;
+    states.f4_tx = 4800;
+    states.ftx(1) = 1200;
+    states.ftx(2) = 2400;
+    states.ftx(3) = 3600;
+    states.ftx(4) = 4800;
+    
+  end
+
+  if test_frame_mode == 4
+    % horus rtty config ---------------------
+    states = fsk_horus_init_hbr(48000,10, 1200, M);
+    states.f1_tx = 1200;
+    states.f2_tx = 2400;
+    states.f3_tx = 3600;
+    states.f4_tx = 4800;
+    states.ftx(1) = 1200;
+    states.ftx(2) = 2400;
+    states.ftx(3) = 3600;
+    states.ftx(4) = 4800;
+    
+    states.tx_bits_file = "horus_tx_bits_rtty.txt"; % Octave file of bits we FSK modulate
+    
+  end
+                               
+  if test_frame_mode == 5
+    % horus binary config ---------------------
+    states = fsk_horus_init_hbr(48000,10, 1200, M);
+    states.f1_tx = 1200;
+    states.f2_tx = 2400;
+    states.f3_tx = 3600;
+    states.f4_tx = 4800;
+    states.ftx(1) = 1200;
+    states.ftx(2) = 2400;
+    states.ftx(3) = 3600;
+    states.ftx(4) = 4800;
+    %%%states.tx_bits_file = "horus_tx_bits_binary.txt"; % Octave file of bits we FSK modulate
+	states.tx_bits_file = "horus_payload_rtty.txt";
+  end
+
+  % ----------------------------------------------------------------------
+
+  states.verbose = 0;%x1;
+  N = states.N;
+  P = states.P;
+  Rs = states.Rs;
+  nsym = states.nsym;
+  Fs = states.Fs;
+  states.df = df;
+  states.dA = [dA dA dA dA];
+  states.M = M;
+
+  EbNo = 10^(EbNodB/10);
+  variance = states.Fs/(states.Rs*EbNo*states.bitspersymbol);
+
+  % set up tx signal with payload bits based on test mode
+
+  if test_frame_mode == 1
+     % test frame of bits, which we repeat for convenience when BER testing
+    test_frame = round(rand(1, states.nsym));
+    tx_bits = [];
+    for i=1:frames+1
+      tx_bits = [tx_bits test_frame];
+    end
+  end
+  if test_frame_mode == 2
+    % random bits, just to make sure sync algs work on random data
+    tx_bits = round(rand(1, states.nbit*(frames+1)));
+  end
+  if test_frame_mode == 3
+    % ...10101... sequence
+    tx_bits = zeros(1, states.nsym*(frames+1));
+    tx_bits(1:2:length(tx_bits)) = 1;
+  end
+ 
+  if (test_frame_mode == 4) || (test_frame_mode == 5)
+
+    % load up a horus msg from disk and modulate that
+
+    test_frame = load(states.tx_bits_file);
+    ltf = length(test_frame);
+    ntest_frames = ceil((frames+1)*nsym/ltf);
+    tx_bits = [];
+    for i=1:ntest_frames
+      tx_bits = [tx_bits test_frame];
+    end
+  end
+  
+  
+  
+  f1 = states.f1_tx;
+  fsp = states.f2_tx-f1;
+  states.dA = [dA dA dA dA];
+  states.ftx(1) = f1;
+  states.ftx(2) = f1+fsp;
+    
+  if states.M == 4
+	states.ftx(3) = f1+fsp*2;
+	states.ftx(4) = f1+fsp*3;
+  end
+
+  tx = fsk_horus_mod(states, tx_bits);
+
+  if timing_offset
+    tx = resample(tx, 1000, 1001); % simulated 1000ppm sample clock offset
+  end
+  
+  if fading
+     ltx = length(tx);
+     tx = tx .* (1.1 + cos(2*pi*2*(0:ltx-1)/Fs))'; % min amplitude 0.1, -20dB fade, max 3dB
+  end
+
+  noise = sqrt(variance)*randn(length(tx),1);
+  rx    = tx + noise;
+  
+  test_name = sprintf("tfsk EbNodB:%d frames:%d timing_offset:%d fading:%d df:%d",EbNodB,frames,timing_offset,fading,df);
+  tstats = fsk_demod_xt(Fs,Rs,states.f1_tx,fsp,rx,test_name,M);
+  
+  pass = tstats.pass;
+  obits = tstats.obits;
+  cbits = tstats.cbits;
+  stats.name = test_name;
+  
+  if tstats.pass 
+    printf("Test %s passed\n",test_name);
+  else
+    printf("Test %s failed\n",test_name);
+  end
+  
+  % Figure out BER of octave and C modems
+  bitcnt = length(tx_bits);
+  rx_bits = obits;
+  ber = 1;
+  ox = 1;
+  for offset = (1:100)
+    nerr = sum(xor(rx_bits(offset:length(rx_bits)),tx_bits(1:length(rx_bits)+1-offset)));
+    bern = nerr/(bitcnt-offset);
+    if(bern < ber)
+      ox = offset;
+      best_nerr = nerr;
+    end
+    ber = min([ber bern]);
+  end
+  offset = ox;
+  bero = ber;
+  ber = 1;
+  rx_bits = cbits;
+  ox = 1;
+  for offset = (1:100)
+    nerr = sum(xor(rx_bits(offset:length(rx_bits)),tx_bits(1:length(rx_bits)+1-offset)));
+    bern = nerr/(bitcnt-offset);
+    if(bern < ber)
+      ox = offset;
+      best_nerr = nerr;
+    end
+    ber = min([ber bern]);
+  end
+  offset = ox;
+  berc = ber;
+  stats.berc = berc;
+  stats.bero = bero;
+  % coherent BER theory calculation
+  
+  if print_verbose == 1
+    printf("C BER: %f Oct BER: %f Test %s\n",berc,bero,test_name);
+  end
+  
+  stats.thrcoh = .5*(M-1)*erfc(sqrt( (log2(M)/2) * EbNo ));
+  
+  % non-coherent BER theory calculation
+  % It was complicated, so I broke it up
+
+  ms = M;
+  ns = (1:ms-1);
+  as = (-1).^(ns+1);
+  bs = (as./(ns+1));
+  
+  cs = ((ms-1)./ns);
+
+  ds = ns.*log2(ms);
+  es = ns+1;
+  fs = exp( -(ds./es)*EbNo );
+  
+  thrncoh = ((ms/2)/(ms-1)) * sum(bs.*((ms-1)./ns).*exp( -(ds./es)*EbNo ));
+  
+  stats.thrncoh = thrncoh;
+  stats.pass = pass;
+endfunction
+
+
+function pass = ebno_battery_test(timing_offset,fading,df,dA,M)
+    %Range of EbNodB over which to test
+    ebnodbrange = fliplr(5:2:13);
+    ebnodbs = length(ebnodbrange);
+    
+    mode = 2;
+    %Replication of other parameters for parcellfun
+    modev   = repmat(mode,1,ebnodbs);
+    timingv = repmat(timing_offset,1,ebnodbs);
+    fadingv = repmat(fading,1,ebnodbs);
+    dfv     = repmat(df,1,ebnodbs);
+    dav     = repmat(dA,1,ebnodbs);
+    mv      = repmat(M,1,ebnodbs);
+    statv = pararrayfun(floor(1.25*nproc()),@tfsk_run_sim,modev,ebnodbrange,timingv,fadingv,dfv,dav,mv);
+    %statv = arrayfun(@tfsk_run_sim,modev,ebnodbrange,timingv,fadingv,dfv,dav,mv);
+
+    passv = zeros(1,length(statv));
+    for ii=(1:length(statv))
+        passv(ii)=statv(ii).pass;
+        if statv(ii).pass
+            printf("Test %s passed\n",statv(ii).name);
+        else
+            printf("Test %s failed\n",statv(ii).name);
+        end
+            
+    end
+    
+    %All pass flags are '1'
+    pass = sum(passv)>=length(passv);
+    %and no tests died
+    pass = pass && length(passv)==ebnodbs;
+    passv;
+    assert(pass)
+endfunction
+
+%Test with and without sample clock offset
+function pass = test_timing_var(df,dA,M)
+    pass = ebno_battery_test(1,0,df,dA,M)
+    assert(pass)
+    pass = pass && ebno_battery_test(0,0,df,dA,M)
+    assert(pass)
+endfunction
+
+%Test with and without 1 Hz/S freq drift
+function pass = test_drift_var(M)
+    pass = test_timing_var(1,1,M)
+    assert(pass)
+    pass = pass && test_timing_var(0,1,M)
+    assert(pass)
+endfunction
+
+function pass = test_fsk_battery()
+    pass = 1;
+    pass = pass && test_mod_2400a_randbits;
+    assert(pass)
+    pass = pass && test_drift_var(4);
+    assert(pass)
+    if pass
+        printf("***** All tests passed! *****\n");
+    end
+endfunction
+
+function plot_fsk_bers(M=2)
+    %Range of EbNodB over which to plot
+    ebnodbrange = (4:13);
+    
+    berc = ones(1,length(ebnodbrange));
+    bero = ones(1,length(ebnodbrange));
+    berinc = ones(1,length(ebnodbrange));
+    beric = ones(1,length(ebnodbrange));
+    ebnodbs = length(ebnodbrange)
+    mode = 2;
+    %Replication of other parameters for parcellfun
+    modev   = repmat(mode,1,ebnodbs);
+    timingv = repmat(1,1,ebnodbs);
+    fadingv = repmat(0,1,ebnodbs);
+    dfv     = repmat(1,1,ebnodbs);
+    dav     = repmat(1,1,ebnodbs);
+    Mv     = repmat(M,1,ebnodbs);
+    
+    
+    statv = pararrayfun(floor(nproc()),@tfsk_run_sim,modev,ebnodbrange,timingv,fadingv,dfv,dav,Mv);
+    %statv = arrayfun(@tfsk_run_sim,modev,ebnodbrange,timingv,fadingv,dfv,dav,Mv);
+    
+    for ii = (1:length(statv))
+        stat = statv(ii);
+        berc(ii)=stat.berc;
+        bero(ii)=stat.bero;
+        berinc(ii)=stat.thrncoh;
+        beric(ii) = stat.thrcoh;
+    end
+    clf;
+    figure(M)
+    
+    semilogy(ebnodbrange, berinc,sprintf('r;%dFSK non-coherent theory;',M))
+    hold on;
+    semilogy(ebnodbrange, beric ,sprintf('g;%dFSK coherent theory;',M))
+    semilogy(ebnodbrange, bero ,sprintf('b;Octave fsk horus %dFSK Demod;',M))
+    semilogy(ebnodbrange, berc,sprintf('+;C fsk horus %dFSK Demod;',M))
+    hold off;
+    grid("minor");
+    axis([min(ebnodbrange) max(ebnodbrange) 1E-5 1])
+    legend("boxoff");
+    xlabel("Eb/No (dB)");
+    ylabel("Bit Error Rate (BER)")
+ 
+endfunction
+
+
+xpass = test_fsk_battery
+%plot_fsk_bers(2)
+plot_fsk_bers(4)
+
+if xpass
+    printf("***** All tests passed! *****\n");
+else
+    printf("***** Some test failed! Look back through output to find failed test *****\n");
+end
diff --git a/octave/tnewamp1.m b/octave/tnewamp1.m
new file mode 100644
index 0000000..6454262
--- /dev/null
+++ b/octave/tnewamp1.m
@@ -0,0 +1,256 @@
+% tnewamp1.m
+%
+% Copyright David Rowe 2017
+% This program is distributed under the terms of the GNU General Public License 
+% Version 2
+
+#{
+
+  Octave script to compare Octave and C versions of newamp1 processing, in order to test C port.
+
+  c2sim -> dump files -> $ ../build_linux/unittest/tnewamp1 -> octave:1> tnewamp1
+  Usage:
+
+    1/ build codec2 with -DDUMP - see codec2-dev/README
+
+    2/ Generate dump files using c2sim (just need to do this once)
+       $ cd codec2-dev/build_linux/src
+       $ ./c2sim ../../raw/hts1a.raw --phase0 --postfilter --dump hts1a --lpc 10 --dump_pitch_e hts1a_pitche.txt
+
+    3/ Run C version which generates a file of Octave test vectors as output:
+
+      $ cd codec2-dev/build_linux/unittest
+      $ ./tnewamp1 ../../raw/hts1a.raw
+            
+    4/ Run Octave script to generate Octave test vectors and compare with C.
+
+      octave:1> tnewamp1("../build_linux/src/hts1a")
+
+    5/ Optionally listen to output
+
+     ~/codec2-dev/build_linux/src$ ./c2sim ../../raw/hts1a.raw --phase0 --postfilter \
+                                   --amread hts1a_am.out --hmread hts1a_hm.out \
+                                   --Woread hts1a_Wo.out --hand_voicing hts1a_v.txt -o - \
+                                      | play -q -t raw -r 8000 -s -2 -
+#}
+
+function tnewamp1(input_prefix, path_to_unittest="../build_linux/unittest/")
+  printf("starting tnewamp1.c input_prefix: %s\n", input_prefix);
+
+  visible_flag = 'off';
+  newamp_700c;
+  autotest;
+  more off;
+    
+  max_amp = 80;
+  postfilter = 0;   % optional postfiler that runs on Am, not used atm
+  synth_phase = 1;
+
+  if nargin == 1
+    output_prefix = input_prefix;
+  end
+  model_name = strcat(input_prefix,"_model.txt");
+  model = load(model_name);
+  [frames nc] = size(model);
+
+  voicing_name = strcat(input_prefix,"_pitche.txt");
+  voicing = zeros(1,frames);
+  
+  if exist(voicing_name, "file") == 2
+    pitche = load(voicing_name);
+    voicing = pitche(:, 3);
+  end
+
+  % Load in C vectors and compare -----------------------------------------
+ 
+  load(sprintf("%s/tnewamp1_out.txt", path_to_unittest));
+  
+  K = 20;
+  [frames tmp] = size(rate_K_surface_c);
+  [rate_K_surface sample_freqs_kHz] = resample_const_rate_f_mel(model(1:frames,:), K);
+
+  melvq;
+  load train_120_1.txt; load train_120_2.txt;
+  train_120_vq(:,:,1)= train_120_1; train_120_vq(:,:,2)= train_120_2; m=5;
+  m=5;
+
+  eq = zeros(1,K);
+  for f=1:frames
+    mean_f(f) = mean(rate_K_surface(f,:));
+    rate_K_surface_no_mean(f,:) = rate_K_surface(f,:) - mean_f(f);
+    [rate_K_vec eq] = front_eq(rate_K_surface_no_mean(f,:), eq);
+    rate_K_surface_no_mean(f,:) = rate_K_vec;
+  end
+  
+  [res rate_K_surface_no_mean_ ind] = mbest(train_120_vq, rate_K_surface_no_mean, m);
+
+  for f=1:frames
+    rate_K_surface_no_mean_(f,:) = post_filter(rate_K_surface_no_mean_(f,:), sample_freqs_kHz, 1.5);
+  end
+    
+  rate_K_surface_ = zeros(frames, K);
+  interpolated_surface_ = zeros(frames, K);
+  energy_q = create_energy_q;
+  M = 4;
+  for f=1:frames   
+    [mean_f_ indx] = quantise(energy_q, mean_f(f));
+    indexes(f,3) = indx - 1;
+    rate_K_surface_(f,:) = rate_K_surface_no_mean_(f,:) + mean_f_;
+  end
+
+  % simulated decoder
+  % break into segments of M frames.  We have 2 samples spaced M apart
+  % and interpolate the rest.
+
+  Nfft_phase = 128;  % note this needs to be 512 (FFT_ENC in codec2 if using --awread)
+                     % with --hmread 128 is preferred as less memory/CPU
+  model_ = zeros(frames, max_amp+2);
+  voicing_ = zeros(1,frames);
+  Aw = zeros(frames, Nfft_phase);
+  H = zeros(frames, max_amp);
+  model_(1,1) = Wo_left = 2*pi/100;
+  voicing_left = 0;
+  left_vec = zeros(1,K);
+
+  % decoder runs on every M-th frame, 25Hz frame rate, offset at
+  % start is to minimise processing delay (thanks Jeroen!)
+
+  for f=M:M:frames   
+
+    if voicing(f)
+      index = encode_log_Wo(model(f,1), 6);
+      if index == 0
+        index = 1;
+      end
+      model_(f,1) = decode_log_Wo(index, 6);
+    else
+      model_(f,1) = 2*pi/100;
+    end
+
+    Wo_right = model_(f,1);
+    voicing_right = voicing(f);
+    [Wo_ avoicing_] = interp_Wo_v(Wo_left, Wo_right, voicing_left, voicing_right);
+
+    #{
+    for i=1:4
+      fprintf(stderr, "  Wo: %4.3f L: %d v: %d\n", Wo_(i), floor(pi/Wo_(i)), avoicing_(i));
+    end
+    fprintf(stderr,"  rate_K_vec: ");
+    for i=1:5
+      fprintf(stderr,"%5.3f  ", rate_K_surface_(f,i));
+    end
+    fprintf(stderr,"\n");
+    #}
+    
+    if f > M
+      model_(f-M:f-1,1) = Wo_;
+      voicing_(f-M:f-1) = avoicing_;
+      model_(f-M:f-1,2) = floor(pi ./ model_(f-M:f-1,1)); % calculate L for each interpolated Wo
+    end
+
+    right_vec = rate_K_surface_(f,:);
+
+    if f > M
+      sample_points = [f-M f];
+      resample_points = f-M:f-1;
+      for k=1:K
+        interpolated_surface_(resample_points,k) = interp_linear(sample_points, [left_vec(k) right_vec(k)], resample_points);
+      end
+
+      for k=f-M:f-1
+        model_(k,:) = resample_rate_L(model_(k,:), interpolated_surface_(k,:), sample_freqs_kHz);
+        Aw(k,:) = determine_phase(model_, k, Nfft_phase);
+        for m=1:model_(k,2)
+          b = round(m*model_(k,1)*Nfft_phase/(2*pi));  % map harmonic centre to DFT bin
+          H(k,m) = exp(j*Aw(k, b+1));          
+        end     
+      end
+
+   end
+   
+   % update for next time
+
+   Wo_left = Wo_right;
+   voicing_left = voicing_right;
+   left_vec = right_vec;
+   
+  end
+  
+  f = figure(1); clf;
+  mesh(angle(H));
+  f = figure(2); clf;
+  mesh(angle(H_c(:,1:max_amp)));
+  f = figure(3); clf;
+  mesh(abs(H - H_c(:,1:max_amp)));
+
+  passes = 0; tests = 0;
+  passes += check(eq, eq_c, 'Equaliser', 0.01); tests++;
+  passes += check(rate_K_surface, rate_K_surface_c, 'rate_K_surface', 0.01); tests++;
+  passes += check(mean_f, mean_c, 'mean', 0.01); tests++;
+  passes += check(rate_K_surface_, rate_K_surface__c, 'rate_K_surface_', 0.01); tests++;
+  passes += check(interpolated_surface_, interpolated_surface__c, 'interpolated_surface_', 0.01); tests++;
+  passes += check(model_(:,1), model__c(:,1), 'interpolated Wo_', 0.001);  tests++;
+  passes += check(voicing_, voicing__c, 'interpolated voicing'); tests++;
+  passes += check(model_(:,3:max_amp+2), model__c(:,3:max_amp+2), 'rate L Am surface ', 0.1); tests++;
+  passes += check(H, H_c(:,1:max_amp), 'phase surface'); tests++;
+  printf("passes: %d fails: %d\n", passes, tests - passes);
+
+  #{
+  % Save to disk to check synthesis is OK with c2sim  
+
+  output_prefix = input_prefix;
+  Am_out_name = sprintf("%s_am.out", output_prefix);
+  fam  = fopen(Am_out_name,"wb"); 
+
+  Wo_out_name = sprintf("%s_Wo.out", output_prefix);
+  fWo  = fopen(Wo_out_name,"wb"); 
+  
+  Aw_out_name = sprintf("%s_aw.out", output_prefix);
+  faw = fopen(Aw_out_name,"wb"); 
+
+  Hm_out_name = sprintf("%s_hm.out", output_prefix);
+  fhm = fopen(Hm_out_name,"wb"); 
+
+  printf("Generating files for c2sim: ");
+  for f=1:frames
+    printf(".", f);   
+    Wo = model_(f,1);
+    L = min([model_(f,2) max_amp-1]);
+    Am = model_(f,3:(L+2));
+
+    Am_ = zeros(1,2*max_amp);
+    Am_(2:L) = Am(1:L-1);
+
+    fwrite(fam, Am_, "float32");
+    fwrite(fWo, Wo, "float32");
+
+    % Note we send opposite phase as c2sim expects phase of LPC
+    % analysis filter, just a convention based on historical
+    % development of Codec 2
+
+    Aw1 = zeros(1, Nfft_phase*2); 
+    Aw1(1:2:Nfft_phase*2) = cos(Aw(f,:));
+    Aw1(2:2:Nfft_phase*2) = -sin(Aw(f,:));
+    fwrite(faw, Aw1, "float32");    
+
+    Hm = zeros(1, 2*2*max_amp);
+    for m=1:L
+        Hm(2*m+1) = real(H(f,m));
+        Hm(2*m+2) = imag(H(f,m));
+    end    
+    fwrite(fhm, Hm, "float32");    
+  end
+
+  fclose(fam); fclose(fWo); fclose(faw); fclose(fhm);
+
+  v_out_name = sprintf("%s_v.txt", output_prefix);
+  fv  = fopen(v_out_name,"wt"); 
+  for f=1:length(voicing__c)
+    fprintf(fv,"%d\n", voicing__c(f));
+  end
+  fclose(fv);
+  #}
+  
+endfunction
+ 
+
diff --git a/octave/tofdm.m b/octave/tofdm.m
new file mode 100644
index 0000000..d2b80ce
--- /dev/null
+++ b/octave/tofdm.m
@@ -0,0 +1,272 @@
+% tofdm.m
+% David Rowe and Steve Sampson June 2017
+%
+% Octave script for comparing Octave and C versions of OFDM modem
+%
+% If running from the Octave command line a good idea to clear globals before
+% each run:
+%
+%   octave> clear; tofdm;
+
+% ------------------------------------------------------------------
+
+Nframes = 10;
+sample_clock_offset_ppm = 100;
+foff_hz = 0.5;
+
+more off; format;
+ofdm_lib;
+autotest;
+ldpc
+global passes = 0;
+global fails = 0;
+
+init_cml()
+cml_support = 1
+
+% ---------------------------------------------------------------------
+% Run Octave version 
+% ---------------------------------------------------------------------
+
+% useful to test the modem at other Nc's, but if Nc != 17 we aren't set up for
+% LDPC testing so disable
+if getenv("NC")
+  Nc = str2num(getenv("NC"));
+  cml_support = 0;
+else
+  Nc = 17;
+end
+printf("Nc = %d LDPC testing: %d\n", Nc, cml_support);
+
+config = ofdm_init_mode("700D");
+config.Nc = Nc;
+states = ofdm_init(config);
+states.verbose = 0;
+ofdm_load_const;
+
+printf("Nbitsperframe: %d\n", Nbitsperframe);
+
+if cml_support
+  Nuwtxtsymbolsperframe = (states.Nuwbits+states.Ntxtbits)/bps;
+  S_matrix = [1, j, -j, -1];
+  EsNo = 10;
+  symbol_likelihood_log = bit_likelihood_log = detected_data_log = [];
+
+  % Set up LDPC code
+
+  mod_order = 4; bps = 2; modulation = 'QPSK'; mapping = 'gray';
+  demod_type = 0; decoder_type = 0; max_iterations = 100;
+
+  load HRA_112_112.txt
+  [code_param framesize rate] = ldpc_init_user(HRA_112_112, modulation, mod_order, mapping);
+  assert(Nbitsperframe == (code_param.coded_bits_per_frame + states.Nuwbits + states.Ntxtbits));
+end
+
+tx_bits = zeros(1,Nbitsperframe);
+rand('seed',1);
+
+payload_data_bits = round(rand(1,(Nbitsperframe-Nuwbits-Ntxtbits)/2));
+states.mean_amp = 1;  % start this with something sensible otherwise LDPC decode fails
+if cml_support
+  ibits = payload_data_bits;
+  codeword = LdpcEncode(ibits, code_param.H_rows, code_param.P_matrix);
+  tx_bits(Nuwbits+Ntxtbits+1:end) = codeword;
+  tx_bits(1:Nuwbits+Ntxtbits) = [states.tx_uw zeros(1,Ntxtbits)];
+else
+  tx_bits = create_ldpc_test_frame(states, coded_frame=0);
+end
+
+% Run tx loop
+
+tx_bits_log = []; tx_log = [];
+for f=1:Nframes
+  tx_bits_log = [tx_bits_log tx_bits];
+  tx_log = [tx_log ofdm_mod(states, tx_bits)];
+end
+
+% Channel simulation ----------------------------------------------
+
+rx_log = sample_clock_offset(tx_log, sample_clock_offset_ppm);
+rx_log = freq_shift(rx_log, foff_hz, Fs);
+
+% Rx ---------------------------------------------------------------
+
+% Init rx with ideal timing so we can test with timing estimation disabled
+
+Nsam = length(rx_log);
+prx = 1;
+nin = Nsamperframe+2*(M+Ncp);
+states.rxbuf(Nrxbuf-nin+1:Nrxbuf) = rx_log(prx:nin);
+prx += nin;
+
+rxbuf_log = []; rxbuf_in_log = []; rx_sym_log = []; foff_hz_log = []; 
+timing_est_log = timing_valid_log = timing_mx_log = [];
+coarse_foff_est_hz_log = []; sample_point_log = [];
+phase_est_pilot_log = []; rx_amp_log = [];
+rx_np_log = []; rx_bits_log = [];
+snr_log = []; mean_amp_log = [];
+
+states.timing_en = 1;
+states.foff_est_en = 1;
+states.phase_est_en = 1;
+
+if states.timing_en == 0
+  % manually set ideal timing instant
+  states.sample_point = Ncp;
+end
+
+
+for f=1:Nframes
+
+  % insert samples at end of buffer, set to zero if no samples
+  % available to disable phase estimation on future pilots on last
+  % frame of simulation
+ 
+  nin = states.nin;
+  lnew = min(Nsam-prx+1,nin);
+  rxbuf_in = zeros(1,nin);
+  %printf("nin: %d prx: %d lnew: %d\n", nin, prx, lnew);
+  if lnew
+    rxbuf_in(1:lnew) = rx_log(prx:prx+lnew-1);
+  end
+  prx += lnew;
+
+  [states rx_bits achannel_est_pilot_log arx_np arx_amp] = ofdm_demod(states, rxbuf_in);
+  
+  % log some states for comparison to C
+
+  rxbuf_in_log = [rxbuf_in_log rxbuf_in];
+  rxbuf_log = [rxbuf_log states.rxbuf];
+  rx_sym_log = [rx_sym_log; states.rx_sym];
+  phase_est_pilot_log = [phase_est_pilot_log; angle(achannel_est_pilot_log)];
+  rx_amp_log = [rx_amp_log arx_amp];
+  foff_hz_log = [foff_hz_log; states.foff_est_hz];
+  timing_est_log = [timing_est_log; states.timing_est];
+  timing_valid_log = [timing_valid_log; states.timing_valid];
+  timing_mx_log = [timing_mx_log; states.timing_mx];
+  coarse_foff_est_hz_log = [coarse_foff_est_hz_log; states.coarse_foff_est_hz];
+  sample_point_log = [sample_point_log; states.sample_point];
+  rx_np_log = [rx_np_log arx_np];
+  rx_bits_log = [rx_bits_log rx_bits];
+  mean_amp_log = [mean_amp_log; states.mean_amp];
+  EsNo_estdB = esno_est_calc(arx_np);
+  SNR_estdB = snr_from_esno(states, EsNo_estdB);
+  snr_log = [snr_log; SNR_estdB];
+  
+  % Optional testing of LDPC functions
+
+  if cml_support
+    mean_amp = states.mean_amp;
+    %mean_amp = 1;
+    symbol_likelihood = Demod2D(arx_np(Nuwtxtsymbolsperframe+1:end)/mean_amp, S_matrix, EsNo, arx_amp(Nuwtxtsymbolsperframe+1:end)/mean_amp);
+    bit_likelihood = Somap(symbol_likelihood);
+
+    [x_hat paritychecks] = MpDecode(-bit_likelihood(1:code_param.coded_bits_per_frame), code_param.H_rows, code_param.H_cols, max_iterations, decoder_type, 1, 1);
+    [mx mx_ind] = max(paritychecks);
+    detected_data = x_hat(mx_ind,:);
+    
+    % make sure LDPC decoding is working OK
+    
+    % assert(codeword == detected_data);
+    
+    [m n] = size(symbol_likelihood);
+    symbol_likelihood_log = [symbol_likelihood_log; reshape(symbol_likelihood,m*n,1)];
+    bit_likelihood_log = [bit_likelihood_log; bit_likelihood'];
+    detected_data_log = [detected_data_log detected_data];
+  end
+  
+end
+
+% ---------------------------------------------------------------------
+% Run C version and plot Octave and C states and differences 
+% ---------------------------------------------------------------------
+
+printf("\nRunning C version....\n");
+
+% Override default path by:
+%   1. if running from octave CLI: setting path_to_tofdm = "/your/path/to/tofdm"
+%   2. If running from shell....." set PATH_TO_OFDM = "/your/path/to/tofdm"
+
+if exist("path_to_tofdm", "var") == 0
+  path_to_tofdm = "../build_linux/unittest/tofdm"
+end
+
+if getenv("PATH_TO_TOFDM")
+  path_to_tofdm = getenv("PATH_TO_TOFDM")
+  printf("setting path from env var\n");
+end
+
+path_to_tofdm = sprintf("%s --nc %d", path_to_tofdm, Nc); % append Nc for variable Nc tests
+
+if cml_support == 0
+  path_to_tofdm = sprintf("%s --noldpc", path_to_tofdm);
+end
+
+system(path_to_tofdm);
+load tofdm_out.txt;
+
+fg = 1;
+
+f = figure(fg++); clf; plot(rx_np_log,'+'); title('Octave Scatter Diagram'); axis([-1.5 1.5 -1.5 1.5]);
+f = figure(fg++); clf; plot(rx_np_log_c,'+'); title('C Scatter Diagram'); axis([-1.5 1.5 -1.5 1.5]);
+
+stem_sig_and_error(fg++, 111, tx_bits_log_c, tx_bits_log - tx_bits_log_c, 'tx bits', [1 length(tx_bits_log) -1.5 1.5])
+
+stem_sig_and_error(fg, 211, real(tx_log_c), real(tx_log - tx_log_c), 'tx re', [1 length(tx_log_c) -0.1 0.1])
+stem_sig_and_error(fg++, 212, imag(tx_log_c), imag(tx_log - tx_log_c), 'tx im', [1 length(tx_log_c) -0.1 0.1])
+
+stem_sig_and_error(fg, 211, real(rx_log_c), real(rx_log - rx_log_c), 'rx re', [1 length(rx_log_c) -0.1 0.1])
+stem_sig_and_error(fg++, 212, imag(rx_log_c), imag(rx_log - rx_log_c), 'rx im', [1 length(rx_log_c) -0.1 0.1])
+
+stem_sig_and_error(fg, 211, real(rxbuf_in_log_c), real(rxbuf_in_log - rxbuf_in_log_c), 'rxbuf in re', [1 length(rxbuf_in_log_c) -0.1 0.1])
+stem_sig_and_error(fg++, 212, imag(rxbuf_in_log_c), imag(rxbuf_in_log - rxbuf_in_log_c), 'rxbuf in im', [1 length(rxbuf_in_log_c) -0.1 0.1])
+
+stem_sig_and_error(fg, 211, real(rxbuf_log_c), real(rxbuf_log - rxbuf_log_c), 'rxbuf re', [1 length(rxbuf_log_c) -0.1 0.1])
+stem_sig_and_error(fg++, 212, imag(rxbuf_log_c), imag(rxbuf_log - rxbuf_log_c), 'rxbuf im', [1 length(rxbuf_log_c) -0.1 0.1])
+
+stem_sig_and_error(fg, 211, real(rx_sym_log_c), real(rx_sym_log - rx_sym_log_c), 'rx sym re', [1 length(rx_sym_log_c) -1.5 1.5])
+stem_sig_and_error(fg++, 212, imag(rx_sym_log_c), imag(rx_sym_log - rx_sym_log_c), 'rx sym im', [1 length(rx_sym_log_c) -1.5 1.5])
+
+% for angles pi and -pi are the same
+
+d = phase_est_pilot_log - phase_est_pilot_log_c; d = angle(exp(j*d));
+
+stem_sig_and_error(fg, 211, phase_est_pilot_log_c, d, 'phase est pilot', [1 length(phase_est_pilot_log_c) -1.5 1.5])
+stem_sig_and_error(fg++, 212, rx_amp_log_c, rx_amp_log - rx_amp_log_c, 'rx amp', [1 length(rx_amp_log_c) -1.5 1.5])
+
+stem_sig_and_error(fg  , 211, foff_hz_log_c, (foff_hz_log - foff_hz_log_c), 'foff hz', [1 length(foff_hz_log_c) -1.5 1.5])
+
+stem_sig_and_error(fg++, 212, timing_mx_log_c, (timing_mx_log - timing_mx_log_c), 'timing mx', [1 length(timing_mx_log_c) 0 2])
+
+stem_sig_and_error(fg,   211, timing_est_log_c, (timing_est_log - timing_est_log_c), 'timing est', [1 length(timing_est_log_c) -1.5 1.5])
+stem_sig_and_error(fg++, 212, sample_point_log_c, (sample_point_log - sample_point_log_c), 'sample point', [1 length(sample_point_log_c) -1.5 1.5])
+
+stem_sig_and_error(fg++, 111, rx_bits_log_c, rx_bits_log - rx_bits_log_c, 'rx bits', [1 length(rx_bits_log) -1.5 1.5])
+
+% Run through checklist -----------------------------
+
+check(states.rate_fs_pilot_samples, pilot_samples_c, 'pilot_samples');
+check(tx_bits_log, tx_bits_log_c, 'tx_bits');
+check(tx_log, tx_log_c, 'tx');
+check(rx_log, rx_log_c, 'rx');
+check(rxbuf_in_log, rxbuf_in_log_c, 'rxbuf in');
+check(rxbuf_log, rxbuf_log_c, 'rxbuf');
+check(rx_sym_log, rx_sym_log_c, 'rx_sym', tol=10E-3);
+check(phase_est_pilot_log, phase_est_pilot_log_c, 'phase_est_pilot', tol=1E-2, its_an_angle=1);
+check(rx_amp_log, rx_amp_log_c, 'rx_amp');
+check(timing_est_log, timing_est_log_c, 'timing_est');
+check(timing_valid_log, timing_valid_log_c, 'timing_valid');
+check(timing_mx_log, timing_mx_log_c, 'timing_mx');
+check(coarse_foff_est_hz_log, coarse_foff_est_hz_log_c, 'coarse_foff_est_hz');
+check(sample_point_log, sample_point_log_c, 'sample_point');
+check(foff_hz_log, foff_hz_log_c, 'foff_est_hz');
+check(rx_bits_log, rx_bits_log_c, 'rx_bits');
+if cml_support
+  check(symbol_likelihood_log, symbol_likelihood_log_c, 'symbol_likelihood_log', tol=1E-2);
+  check(bit_likelihood_log, bit_likelihood_log_c, 'bit_likelihood_log');
+  check(detected_data_log, detected_data_log_c, 'detected_data');
+end
+check(mean_amp_log, mean_amp_log_c, 'mean_amp_log');
+check(snr_log, snr_log_c, 'snr_log');
+printf("\npasses: %d fails: %d\n", passes, fails);
+
diff --git a/octave/tofdm_acq.m b/octave/tofdm_acq.m
new file mode 100644
index 0000000..3c26bb3
--- /dev/null
+++ b/octave/tofdm_acq.m
@@ -0,0 +1,81 @@
+% tofdm_acq.m
+% Octave <-> C test for OFDM modem acquisition
+
+ofdm_lib;
+autotest;
+randn('seed',1);
+pkg load signal;
+more off;
+
+% generate a file of transmit samples
+filename = "test_datac0.raw";
+ofdm_tx(filename,"datac0",1,10,"awgn","bursts",1, "txclip");
+
+printf("\nRunning Octave version....\n");
+config = ofdm_init_mode("datac0");
+states = ofdm_init(config);  
+states.verbose = 1; states.data_mode = "burst"; states.postambledetectoren = 1;
+states.timing_mx_thresh = 0.15;
+
+ofdm_load_const;
+frx=fopen(filename,"rb");
+nin = states.nin; rxbufst = states.rxbufst;
+rx = fread(frx, nin, "short")/(states.amp_scale/2);
+f = 0;
+timing_mx_log = []; ct_est_log = []; foff_est_log = []; timing_valid_log = []; nin_log = [];
+
+while(length(rx) == nin)
+  printf(" %2d ",f++);
+  [timing_valid states] = ofdm_sync_search(states, rx);
+  timing_mx_log = [timing_mx_log states.timing_mx];
+  ct_est_log = [ct_est_log states.ct_est];
+  foff_est_log = [foff_est_log states.foff_est_hz];
+  timing_valid_log = [timing_valid_log states.timing_valid];
+  nin_log = [nin_log states.nin];
+  
+  % reset these to defaults, as they get modified when timing_valid asserted
+  states.nin = nin;
+  states.rxbufst = rxbufst;
+  
+  rx = fread(frx, nin, "short")/(states.amp_scale/2);
+  printf("\n");
+end   
+fclose(frx);
+
+printf("\nRunning C version....\n");
+path_to_unittest = "../build_linux/unittest";
+if getenv("PATH_TO_UNITTEST")
+  path_to_unittest = getenv("PATH_TO_UNITTEST")
+  printf("setting path from env var to %s\n", path_to_unittest);
+end
+system(sprintf("%s/tofdm_acq %s", path_to_unittest, filename));
+load tofdm_acq_out.txt;
+
+fg = 1; passes = 0; ntests = 0;
+
+tx_preamble = states.tx_preamble;
+stem_sig_and_error(fg, 211, real(tx_preamble_c), real(tx_preamble_c - tx_preamble), 'tx preamble re')
+stem_sig_and_error(fg++, 212, imag(tx_preamble_c), imag(tx_preamble_c - tx_preamble), 'tx preamble im')
+passes += check(tx_preamble, tx_preamble_c, 'tx preamble', 0.1); ntests++;
+tx_postamble = states.tx_postamble;
+stem_sig_and_error(fg, 211, real(tx_postamble_c), real(tx_postamble_c - tx_postamble), 'tx postamble re')
+stem_sig_and_error(fg++, 212, imag(tx_postamble_c), imag(tx_postamble_c - tx_postamble), 'tx postamble im')
+passes += check(tx_postamble, tx_postamble_c, 'tx postamble', 0.1); ntests++;
+
+stem_sig_and_error(fg, 211, real(timing_mx_log_c), real(timing_mx_log_c - timing_mx_log), 'timing mx')
+passes += check(timing_mx_log, timing_mx_log_c, 'timing_mx'); ntests++;
+stem_sig_and_error(fg++, 212, real(ct_est_log_c), real(ct_est_log_c - ct_est_log), 'ct est')
+passes += check(ct_est_log, ct_est_log_c, 'ct_est_mx'); ntests++;
+
+stem_sig_and_error(fg, 211, real(foff_est_log_c), real(foff_est_log_c - foff_est_log), 'foff est')
+passes += check(foff_est_log, foff_est_log_c, 'foff_est'); ntests++;
+stem_sig_and_error(fg++, 212, real(timing_valid_log_c), real(timing_valid_log_c - timing_valid_log), 'timing valid')
+passes += check(timing_valid_log, timing_valid_log_c, 'timing_valid'); ntests++;
+passes += check(nin_log, nin_log_c, 'nin'); ntests++;
+
+if passes == ntests printf("PASS\n"); else printf("FAIL\n"); end
+
+  
+
+
+
diff --git a/octave/train_120_1.txt b/octave/train_120_1.txt
new file mode 100644
index 0000000..c26e1a0
--- /dev/null
+++ b/octave/train_120_1.txt
@@ -0,0 +1,512 @@
+  6.7484   7.6125   6.0332   5.2789   1.5239   2.2353   2.0748   0.5289   0.8748   2.5432  -2.2863  -3.1910  -0.0434  -1.9857  -3.3605   0.7069  -5.9493  -0.5672  -0.6798 -18.0977 
+  4.0503   3.9086   2.9225   2.3773   0.6580  -0.4363  -0.0644   2.4063   1.3428   2.4542   0.5275   0.9820  -1.3277   0.6811   0.0273  -0.1838  -0.0222  -0.6478  -2.2405 -17.4152 
+ 13.3284  12.1212  10.6531   9.8214  11.0388  15.8120  19.7110  16.5488  16.1068  15.8771   7.2553   4.2486  -6.0036 -12.5476 -20.1299 -28.2803 -25.3971 -21.7907 -11.5143 -26.8590 
+ 21.4405  18.4703  17.8693  14.9679  11.2994   6.4906   4.7717   0.1959  -0.8801   1.8991   1.9793  -4.9755  -7.7852 -10.0492  -8.5295  -8.2893  -4.1203 -12.4072 -16.1660 -26.1817 
+  4.0023   3.8279   1.2681   1.0053   0.7002  -0.3886   3.4465  -1.4055  -6.7846  -2.3345  -2.9050  -0.1344   3.4192   2.4319  10.0096   3.9279   0.6807   0.3220  -3.8325 -17.2565 
+ 29.8276  21.1543  12.7853  13.0246   5.8164   3.7469   2.4198   0.1510  -4.5449   5.2695  11.7552  -4.8954  -6.0291  -8.9780   4.9650 -10.6540 -12.5363 -21.6056 -18.2985 -23.3739 
+  4.8610   5.1207   6.5382   9.8638  15.4754  18.8192  14.8018  10.7685  12.4401  14.0392   2.9200  -3.7283  -9.7213 -13.5526 -16.0730 -13.7571  -5.4267 -12.2552 -14.5143 -26.6193 
+  3.0429   3.0335   4.4785   5.6483   5.3476   5.7519   3.5651   4.9007   4.9672  -0.7330  -0.6458   6.5888   5.2957  -2.0068  -6.0189  -7.2145   2.5545  -5.8358  -7.4936 -25.2263 
+  5.9384   7.0203  10.7433  15.2477  14.8437   8.0949   3.1384  -0.0014  -0.1756   2.1601   8.1029   0.4123  -6.8062  -9.6038  -6.2302   0.4409  -8.9878 -10.1638  -4.6903 -29.4840 
+  7.1880   6.1134   5.4021  10.5427  17.0718  14.5658   6.8632   2.2257   0.4412   3.8257   9.0388  -1.1212  -6.7639  -9.2412  -8.6575  -2.9951  -8.6659  -9.4220  -6.6046 -29.8068 
+  9.8859   4.3889   3.6253   3.2033   4.6563   4.5967   1.8747  -0.0037   3.2114   3.8854   3.1501   0.8523  -5.2830  -8.4603  -5.1159  -3.9157   6.9800  -1.5270  -6.0421 -19.9624 
+  7.6208  10.1888  12.8648  16.4838  14.9269   7.8064   3.5594  -2.8048  -3.6303 -10.8596  -7.1254  -2.8890   5.4295  -2.5015  -5.5359  -2.9934  -6.5980  -7.1493  -4.9387 -21.8545 
+ 12.7227  17.1387  21.7055  19.8068  12.1832   5.8645  -2.4103  -3.8445  -5.5496  -5.5608  -0.2010   5.1772  -1.4666  -6.6602  -1.2573  -3.1593 -10.7925 -14.3751 -12.0047 -27.3167 
+  7.4465   7.8765   9.4912  12.2074  12.1631  11.4780   7.6294   2.6922   0.1566  -2.1903  -1.5699  -1.8031   2.2555  -1.5591  -7.9267 -10.3612  -5.5432  -5.5673 -10.0797 -26.7960 
+  0.3749   1.9725   2.6868   6.3326   8.9635  12.8113  13.6523  14.0916  11.2443   1.2914  -1.9954  -2.9443  -4.6718  -4.3132  -3.4613  -8.1105  -7.9033  -7.0956  -6.5898 -26.3361 
+ 10.3072  10.6822   8.8253   4.8992   4.3627   8.8165   9.7824   3.7264   0.4265   0.6068   3.0934   2.9121  -0.6717  -5.8045  -1.7344  -9.1008  -8.8333  -6.0633 -11.2321 -25.0005 
+ 10.6992  14.8060  18.9665  22.4210  21.8710  15.6647  10.6160  12.1366  14.0479   7.0707  -3.8212 -12.1770 -16.1111 -19.3389 -18.8315 -17.5346  -7.9646  -9.4592 -17.5614 -25.5000 
+  9.9592  11.7001  14.2704  14.1434   7.3322   4.2766  -0.0567  -2.7113  -5.7358  -6.7390  -5.9067  -0.1939   4.8177  -3.9810  -7.2528  -3.2695  -1.5685  -7.8940  -6.3355 -14.8548 
+ 17.6322  19.5153  22.4362  16.2943  10.4698   2.5066  -2.3936  -5.3770  -7.9766  -9.8004 -12.9640 -13.1015  -9.8076  -5.7565   1.8732   0.4843   3.3621  -1.0048  -4.8377 -21.5543 
+  9.9491  17.4987  23.2236  17.3142   6.8072   6.6873   1.9421   1.1415   2.9409   6.8470   2.4633  -7.2869  -8.9792  -3.3155  -0.1918 -11.8037 -18.6298 -12.6475  -9.7620 -24.1984 
+  9.2080   9.9971  12.5064  20.0609  20.9647  10.9574   7.4360   4.4943   4.8454  11.0636   1.8176  -7.3479 -12.5617 -15.3912 -11.5022  -5.0309 -14.7556 -15.4294  -6.4150 -24.9176 
+  7.7917   9.3291  11.8185  15.3501  19.3235  20.6869  19.8160  14.6028  10.2893   9.9407   9.8534   3.6182   2.7695  -5.2735 -19.7962 -24.6834 -27.0316 -25.6805 -24.9149 -27.8096 
+  0.1108   3.1261   6.8163  12.4528  16.9192  10.8153   2.6109  -0.2652  -4.8897  -6.1056  -7.3218  -4.4594   4.3004   3.7728  -2.8276  -0.0458   1.0104  -6.4884  -6.4860 -23.0456 
+ 12.9442  10.3059   3.1303   2.1611   1.4795   2.7580   6.9527   8.4487   7.1533   1.4465  -0.9113  -3.9971  -4.9090  -5.3881  -3.1011  -0.4922  -1.1819  -5.3279  -8.2374 -23.2345 
+ 25.0945  17.8572   8.9500   2.7040   0.2187   1.4115   0.7421   0.5831  -0.3096   0.9334  -2.9667  -4.0352  -2.8473  -4.8594  -4.5863  -4.4311  -2.8466  -4.4808  -5.1669 -21.9645 
+ 14.6124  19.7986  21.2066  15.7620   8.7509   3.7653  -0.5239  -3.8894  -6.8522  -8.4979  -8.1879  -5.8438   0.5485   6.7415   0.4745   2.6750 -10.3676 -15.0245 -12.2357 -22.9125 
+ 11.9959  12.9771  17.1177  21.5310  16.8892  10.8731   9.7276   8.5106  12.9569   2.2512  -6.9324 -13.2124 -16.5380 -18.0518 -16.6252  -9.7038  -6.1220  -8.7542  -6.8998 -21.9905 
+ 12.8107  14.5670  13.4289   7.1693   3.4265   3.1397   2.5457  -1.2214  -0.3887   2.4506   3.9777   0.9056  -6.9195  -7.3811  -3.2619  -0.3714   2.6266  -6.3479 -12.2319 -28.9244 
+  2.6437   2.2575   3.8643   6.0625  10.9091  16.9554  21.5045  12.7233   9.3579   9.4439  12.8585   4.4528  -2.4283  -4.7330  -2.2502 -11.3098 -18.5273 -22.4570 -23.1304 -28.1976 
+ 10.5757  10.9392  14.0126  18.2101  14.3745   8.6896   4.9080   1.0411   2.3482   7.2221   4.5440  -5.0353 -11.2852 -13.0882 -10.9600  -3.0288  -9.5005 -10.2217  -6.6739 -27.0717 
+ 14.6172   4.5412  13.3824   9.2916  19.2818  13.6563  14.4089  10.1260   1.6926   3.9361  -0.6461  -5.1244  -9.3641 -13.9807 -11.4128 -11.8597  -0.8237 -20.3149 -12.3561 -19.0515 
+  4.0591   4.6177   7.7662   6.8737   9.4052  10.1099  12.8714   8.1202   6.6015   7.9224   1.7548  -1.6325  -4.8379  -5.0955  -2.1947  -8.4220 -11.8799 -10.7107 -12.0066 -23.3222 
+ -3.3385  -1.1297   3.0554   4.9769   3.8625   8.6998   8.0974  -0.5519  -1.0699  -5.4771  -4.7235  -4.8192   7.1236  -0.4895  -2.0107   0.1838   3.5180   3.2804   3.1904 -22.3779 
+ 10.9362  15.2821  18.1297  12.4682   2.6895  -1.2007  -1.7676  -6.1681  -6.0524  -5.8064  -3.1002   4.3237   2.0263  -5.5109   1.0348  -0.4760  -4.6274   1.4107  -7.5329 -26.0586 
+ 27.0648  22.2199  14.8908   7.7845   2.8689  -0.0364   0.0683  -0.1186  -1.6323  -2.4217  -4.0112  -2.3476  -5.4442  -5.8509  -6.4386  -6.2558  -6.7739  -5.9348  -7.0916 -20.5398 
+  4.3156  -0.2499   1.1824   2.8225   8.1910   5.2798   2.2597  -3.0043  -5.0382  -5.2727  -4.0013   2.6952   8.1245  -1.1517  -1.8957   2.4603   3.0897  -1.0817  -0.1353 -18.5898 
+ 17.5894  22.9315  26.4862  22.1620  13.7474  13.5177  15.2005  16.3224   4.9523  -4.2419  -8.3503 -12.4022 -12.6698  -6.7159 -16.2122 -20.1926 -20.5969 -16.0749 -12.5173 -22.9353 
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+  2.3529   1.9098   1.1705  -1.0129   0.2322  -2.1724  -2.7849  -0.3004   1.1108   2.9625   0.3261  -2.0946   1.0272   3.4696   1.9753   1.1513   2.4885   2.1442   0.7739 -14.7298 
+ -1.7003  -2.4848  -2.4346   4.7038  24.9669  27.0962   7.9463   4.7152   0.1920  -0.8991  -0.8489   9.9068  -2.4800  -9.4907 -11.9321  -1.8570  -6.2441 -11.0862 -11.2891 -16.7804 
+ 14.9206  17.9220  23.4494  28.4771  23.9338  22.5858  21.7793   9.3991  -3.6346 -10.2702 -14.3748 -16.3264 -19.3026 -18.4585 -17.3134 -12.2710 -10.5930 -10.9994  -7.9141 -21.0092 
+ 10.8472   9.9985   8.1012   5.6373   0.7372   0.0745  -0.8638  -1.7933  -2.9142  -3.0150  -2.2427  -0.7782  -2.5201  -6.2197  -5.1933   0.2777  -5.0155   0.2927   4.1108  -9.5213 
+ 11.2774  17.5024  20.7927  14.9512   8.8893   5.3831   1.1126  -0.5407  -1.8226  -0.7548   3.8991  14.1917  11.4189  -2.2812 -13.1711 -17.2396 -15.8893 -13.7806 -15.9376 -28.0009 
+ -1.8142  -1.3801  -0.2831   1.3820   1.7722   1.4623  -1.2023  -3.2113  -5.2345  -6.7523  -4.9565  -2.8637   4.0779  -2.6764   0.8821  14.4958   8.5614   4.5439   7.9060 -14.7091 
+ 10.5077  13.8832  19.5676  20.8530  17.7078  12.7109  11.5269   8.0218   2.2318  -5.7244 -10.1683 -12.8120 -14.9230 -10.7023  -2.0109  -8.3963 -10.2008  -5.4032 -10.7793 -25.8902 
+ -0.2509   1.3469   0.6421   2.6377   6.0659   4.3721   5.3520   3.9824  -1.7069  -2.0895  -5.2191  -1.5370  -3.3737   1.3384   4.0383  10.2321   1.6548  -3.2413  -5.1470 -19.0973 
+  6.4953   9.3365  14.1057  20.6271  16.1168   7.3580   1.4929  -2.7587  -4.0681  -3.9748   1.3672   8.9105  -0.9200  -5.3133   0.3345  -6.1299 -12.7503  -9.3229 -13.4612 -27.4454 
+  0.6201   2.4328   4.9760   9.2545  15.4025  12.2971   5.7680   5.0077   4.0499   4.2155   9.7060   7.7493   5.8274   0.3852  -5.9984 -11.5236  -7.3050 -10.3504 -20.7971 -31.7176 
+ -3.7294  -1.4413  -3.7524  -4.5904  -3.2743   0.7360  -3.2763  -4.8007  -0.6213   4.9030  10.4614  11.0474  17.3494  -0.7763   5.4732   0.7769   1.2498  -0.7639  -2.1070 -22.8638 
+  6.7163   9.2255  12.3187  17.6924  17.6404  11.8940   7.0991   4.2645   4.3021   9.9874   5.8382  -3.4579  -6.9519  -4.8090  -2.1538 -14.0697 -18.7474 -17.3320 -11.2745 -28.1824 
+ 14.7156  19.4663  14.7897   6.5422   1.1728  -2.3524  -4.9286  -7.8168  -8.8525  -9.4747 -10.7274  -8.5129  -4.4565   7.8312   0.0283   4.0451   1.6338  -1.3894   4.4306 -16.1441 
+ 19.0680  22.0875  24.6110  22.0341  17.3706  15.8785  14.1658  11.9508   4.4308  -1.1373  -6.4223 -10.3244 -11.8572 -13.5064 -14.4779 -15.1004 -15.5216 -16.8251 -22.0101 -24.4145 
+  9.0336  19.0176  24.4867  24.6758  18.9461  11.7838   7.6427   4.7750   1.2864   0.4513   1.8155  -1.2592  -9.2086 -14.2929 -15.7555 -13.6408  -7.7748 -14.5157 -21.5902 -25.8770 
+  1.4827   0.2805  -0.3810   1.4732   8.2340   8.1707  10.0600   8.3087   4.1212   2.7249   3.5821   7.9718   3.7426  -2.6511  -5.3909  -4.4519  -4.5293  -6.7232  -8.9602 -27.0648 
+ 10.5705  10.6700  11.7791  12.1925  10.0236   6.6964   5.1163   2.6148   4.7648   2.5521  -3.9125  -7.4628  -9.6721  -9.3307  -9.9466  -8.0895   1.1968  -3.8200  -3.4846 -22.4580 
+  7.5905   8.3863  11.5587  16.2565  22.0088  23.0422  17.8049  13.1018  17.1694  13.5769  -0.2381  -1.8062   1.5806 -10.3901 -20.8106 -24.7914 -25.0524 -24.3552 -19.3769 -25.2554 
+  7.3275  11.6160  16.6781  15.5131   8.1538   4.8147  -1.7134  -2.9599  -6.5688  -7.0695  -0.9248   5.3367  -4.5080  -7.1758  -3.4270  -3.5021  -8.7907  -5.2842   1.7479 -19.2635 
+  8.6994  13.7488  20.2706  15.6056   8.0300   2.7906  -2.4915  -6.3762  -9.0577 -10.4892 -11.7811 -10.7422  -7.7494  -0.3422  10.0858   3.8928   3.9680  -2.0796  -2.0561 -23.9265 
+ -1.8066  -1.3696   1.0493   1.3711   1.9691   1.1999  -1.8646  -1.9643  -1.7749  -1.3390  -3.3717   3.1526   1.2109   0.7990   0.4966   2.5531   3.3704   2.3429   4.9229 -10.9469 
+  4.0689   7.4175  12.6940  18.0600  16.5869   9.3259   4.5282   2.8636   1.6428   4.7328  12.4121   9.1212   6.2302   0.0152 -12.5596 -17.7355 -18.6999 -12.7970 -17.6503 -30.2571 
+  0.8292   2.6495   1.8804   4.1439   5.6667   5.7021   4.9475   6.8868   6.7950   8.0289  10.5666   8.6874   1.8534  -2.2297  -6.3646  -6.7900  -8.1505  -9.3082 -10.0423 -25.7522 
+  7.1022   3.8236   1.8946   4.4230   4.7840   4.6315   5.8219   2.7914   1.6501   0.4344   2.2205   4.0071   0.0326  -2.6285  -2.5436  -3.5874  -3.6688  -4.2155  -7.0087 -19.9643 
+  0.1242  12.2019   4.3084   4.2478   1.9093   0.6288   1.1102   1.5269   2.2918   5.1362   2.1955  -5.7687   1.1936  -1.4469   0.2971  -4.6605   0.8522   1.2017  -3.9848 -23.3647 
+ -5.1159  -1.2775   2.5260   4.1265   3.4097  -1.7194  -0.8844  -1.4795  -5.4958  -6.8537  -1.5398   0.9661  -2.3240  -4.8943   8.2925   3.4432  -1.7853   6.3100  13.4410  -9.1454 
+  3.9898   4.3777   4.2357   3.0453   3.7447   2.5019   1.1011  -0.4780  -2.4003  -0.6497   0.8291   0.2117   0.0985  -0.2133   0.3830  -1.7850  -1.0322  -2.1328  -1.6069 -14.2203 
+ 11.3622  14.7416  16.8859  15.0883   9.9488   8.7692   4.3995  -2.0242  -2.6878  -1.0092   0.7764  -2.2298  -4.0840  -8.1165  -6.2525  -5.2064  -7.0092  -6.7164  -9.2528 -27.3833 
+  3.6579   2.8996   4.0461   8.3701  17.0082  23.3625  16.2578   7.1955  17.3887   6.3999  -4.2883  -9.9015 -12.7556 -12.3388  -5.4680 -10.3674 -10.9476 -10.1432  -6.0175 -24.3585 
+  7.5312   5.8939   4.3265   4.0014   2.9087   1.6542   2.9601   3.9087   1.3700  -2.9778  -0.8059  -0.8752  -0.9920  -0.8125  -0.8336  -0.0306  -2.6451  -2.7999  -4.2986 -17.4834 
+ 15.3876  20.0855  22.6771  20.6277  15.1509   8.8202   3.6289  -2.1904  -8.5688 -13.1818 -15.2549 -15.0083 -12.7233  -8.7307   0.5974   4.3829  -2.2770  -0.0304  -7.8902 -25.5026 
+ 23.6589  23.2539  20.3520  15.1761  11.4144   5.8059   5.4712   1.3160   0.0827  -2.4308  -7.0613  -6.1765  -1.8534   5.6004  -1.4387 -15.4564 -17.3870 -18.8680 -17.3832 -24.0763 
+ 11.6709  14.1123  21.1753  25.8068  20.7082  14.0630  14.1588  17.9220  14.6153   4.8179   3.3194   0.4690 -11.4997 -19.1991 -21.5666 -21.4213 -21.1902 -22.3547 -22.1566 -23.4508 
+  4.6799   3.0606   1.6539   6.2007  -2.0201   3.0954   0.5569   3.2707   1.3312   0.0725   1.8286  -5.9667   2.6570  -0.0978  -1.2174  -2.2597   0.2234   1.4765  -4.2077 -14.3379 
+  9.3104  11.8578  14.9832  13.1906   8.5578   4.2616  -0.4942  -3.0677  -3.2171  -5.1322  -1.7298   6.6384  -0.8475  -8.0712  -9.5863  -5.8386   2.6610  -8.3104  -6.0285 -19.1373 
+  2.2896   3.8587   4.9224   8.6357  13.9236  17.8222  15.7427  11.5211   7.5272   9.1679   9.7247   5.7451   0.5275   0.3504  -6.2281 -12.9212 -14.0843 -20.5964 -26.6432 -31.2855 
+ 18.9039  18.0327  13.6297   9.7561   7.4319   5.3744   2.9646   1.7415   0.6716   0.6859   2.7446   0.5342  -4.3187  -6.1877  -6.9311  -9.8734 -11.9041  -9.1281  -8.9591 -25.1690 
+  6.4513   6.7843   9.4438  12.9549  16.4801  14.9093   8.2954   1.6877  -2.5193  -4.4922  -6.7348  -6.9853  -4.6783   0.7181   1.0483  -5.1128  -1.1161  -7.5305 -12.3980 -27.2058 
diff --git a/octave/train_120_2.txt b/octave/train_120_2.txt
new file mode 100644
index 0000000..12eb9b1
--- /dev/null
+++ b/octave/train_120_2.txt
@@ -0,0 +1,512 @@
+ -1.2668  -1.2477  -0.0681   3.8419  -0.0693  -1.7919  -1.5943   0.8402   0.1550  -3.1526  -3.0204   0.7337  -0.2603   1.6590   0.0230   5.5893  -2.4959   1.9604  -0.6348   0.7999 
+  2.6673   1.4923   1.1408  -0.7478  -1.0755  -1.3421  -0.4884   0.2535   0.2951   1.5088   1.9447  -2.6620   2.3751   1.5298   4.1357  -6.5630  -2.1766  -2.7535  -0.7706   1.2362 
+ -0.6415  -0.4348  -1.2178  -0.9870  -1.1057  -2.1421  -2.3594  -0.4977  -4.1484  -4.7120   5.5425   3.0695   3.6610   2.9729   2.4379  -1.6136  -1.3052   2.1342   1.9164  -0.5692 
+  1.5930  -1.1175  -1.2476   1.6203   2.5315   2.3427  -0.5223  -3.1063  -2.1739  -1.4774  -2.6108  -3.5842  -0.3828  -0.1511   0.8929   2.5717  -1.7657   1.8954   6.0193  -1.3272 
+ -0.2102  -0.3681  -1.2724  -1.1520  -0.3715  -0.5633  -2.5238  -1.7680   4.7356   5.6452   0.8620   0.8750  -0.8932  -1.5918  -1.4047  -0.0720  -0.6080  -0.7876   1.3972   0.0717 
+  5.1178  -1.5391  -4.2881  -1.9745   1.3515   2.4014   0.9329   3.4647  -2.4062  -0.4224   2.8708  -1.6053  -3.1492  -2.6783  -2.6937  -4.4645   1.8599  -0.5456   3.8910   3.8770 
+ -1.7119  -1.0101  -0.5002  -1.7849  -0.4884   0.2279  -0.8335  -1.0083  -1.2819   0.1129  -1.3674  -1.3338   0.9290   3.0765   2.6339   3.5627  -2.2713   0.6565  -1.2099   3.6022 
+ -1.5938  -1.3264   0.9856   2.8765   2.3700   1.2528   1.2586  -1.2453  -1.3974  -1.4988  -1.6309  -1.2183  -0.1625  -0.8690   0.0030  -2.0081   1.3580   2.9585   3.3396  -3.4520 
+ -1.3680  -0.6304  -2.5755  -1.2397   4.9487   2.7251   1.4675  -0.1832  -0.3932   1.4723   1.7410   0.6216  -1.0849  -0.7112  -0.3751  -1.7539   0.1222   1.9858  -0.5248  -4.2444 
+ -1.2786  -0.2384   0.6718   2.9763  -1.6959   6.4607  -3.9459  -2.0560  -2.7306  -0.2583   0.0389  -3.6271  -4.0721   0.8260   0.8112   2.8769   2.2400   0.5444   0.3571   2.0995 
+  2.5196   2.3359   1.6620   0.6250  -1.0528  -0.9133   1.8668   1.2853   1.4368   1.4676   1.1301   1.3664   1.1076  -3.2853  -0.4530   0.4467  -4.7302  -3.8149  -3.9866   0.9865 
+  0.1738   1.2940   1.3514  -0.3684  -0.7078  -0.2329   1.3467  -1.0678  -0.0262   0.2448  -0.8418  -0.3910   2.7415   2.9948  -4.5965  -0.1192   0.2496   0.4684   0.0669  -2.5805 
+  0.2482  -1.3236  -1.4810   0.9433   3.4287   2.2233   8.9344  -1.1138   0.4585  -3.7470   3.0416  -2.7394   2.2880   1.6598  -3.6439   0.0633  -2.7363  -1.2617  -3.1924  -2.0500 
+  1.4672  -1.3248  -0.5511   1.4512  -0.4710  -1.2381   2.9453  -2.3244   2.3249  -2.1969   0.9414  -1.9926   0.5254   0.0792  -3.2076  -2.4140   3.5291   3.5738  -0.0613  -1.0556 
+  1.5560   0.0091   0.0770   2.8542  -1.4594  -2.0102   0.5440   2.8119  -0.2925  -0.7111   0.9589  -1.6923  -1.8606   1.1040  -1.6733  -0.0895   3.6894   2.7628  -6.9922   0.4138 
+ -1.5539   0.6820   1.4458   0.4297  -0.4115  -1.3266   0.5024  -0.6975  -0.3820   1.2840   0.9597  -1.0561   2.2198   0.1292   1.4343   3.0313  -3.9845   0.6776   0.3380  -3.7217 
+ -2.0283  -1.5216   1.0103   4.8788   3.7028   4.4000  -0.3076   2.4853   2.2296  -1.5213   0.4360  -5.9903  -2.6578  -2.3985  -2.0127   1.3737  -3.7950   2.3105  -0.2099  -0.3839 
+ -1.7339  -0.9861  -0.2078  -1.2579   2.5808  -0.9255   3.2388   1.0999   3.6754   4.6424   1.9111   1.4716   2.7531  -0.2725  -0.3573  -0.5392  -4.2109  -6.4662  -2.3713  -2.0442 
+  0.7177   1.4094   0.7205   6.8683   1.7836   7.1562  -2.9368   3.4036  -0.6064   2.3377   2.8714  -7.0408  -9.7129   4.1278  -3.4444  -5.9919   5.5073  -0.8996  -7.5142   1.2434 
+  0.8042   1.5886   0.8754  -0.4378   0.2336   0.0424  -0.1245   0.0847   0.6402   2.6508   1.6375  -3.2393  -2.2823  -2.1435  -1.5628   0.4271   2.2571   2.5048  -1.5933  -2.3629 
+  0.6292   1.1956   0.8357  -0.8634  -0.1796   1.8589   0.6940   2.8309   2.5569  -0.4253   0.2913   0.7772   1.4180   3.4210  -1.9468   4.2236  -7.3361  -3.7802  -3.5980  -2.6029 
+  1.9034  -0.7126  -2.3343   0.2344   3.6545   3.9405   3.0203   0.1937  -1.1906  -1.9012  -0.6667  -1.2590  -1.1021  -2.6650   0.1400  -1.4183  -1.2342   0.0547   0.1519   1.1906 
+ -3.6125  -2.2485  -1.0820  -1.9912  -1.1521  -2.2527  -2.5383   0.9320   1.1572   2.0230   1.6579   1.3763   6.4432   2.1652  -2.0259   1.9724   3.2824  -0.4615  -1.1909  -2.4539 
+ -1.1530  -2.1790  -0.7355  -2.0941   0.6246   1.7502  -3.3266  -3.4374  -2.6486  -2.2938   0.9286   1.3396  -2.1323   0.2739   1.2664   4.4111   1.3864   3.9050   2.8286   1.2861 
+ -1.9752   0.7423   2.4137   1.8854  -1.1393  -2.5802  -2.9355  -3.6740  -1.8244   0.3099   6.1403   4.6215  -2.0636  -3.7172  -0.9400   1.4240  -0.3669   2.0205   0.6217   1.0369 
+ -0.1561   3.9621  -1.3649   0.2912   3.5366   0.8537  -0.9376  -3.7333  -6.5447  -1.2107   3.3183   2.5758   1.9693  -4.8690   0.6212   0.0985   1.5746   0.2433  -2.6173   2.3890 
+  0.6849  -1.1521  -2.0382  -0.8953   0.8771   1.1996  -0.9704  -1.3679  -1.1460   0.0582   0.2636  -1.9785   0.5235   1.6427   0.6362   0.7411   5.6052  -0.3533   0.6579  -2.9883 
+  0.5989  -3.9928  -2.1937   3.8742   2.0056   2.3132  -0.4478  -2.0855  -4.3607  -2.1260   5.3544   1.9827   5.3407  -0.8346  -2.4624   1.1729  -4.3825   0.7623  -1.9429   1.4240 
+ -3.3103   0.0394   2.0113   2.6733   1.2484  -0.2186   0.1156  -0.4856   2.4501   0.8179  -1.1164  -2.1952  -0.9719   2.0728   0.4002   1.1891   1.7518  -1.2571  -3.3136  -1.9012 
+  1.8860   6.9767   2.4311  -2.0414   3.9100   5.5378  -1.7478  -0.8304   2.8523  -1.4075   0.1309   1.8232  -2.8868  -7.5003  -3.4867  -3.2756  -2.8584   6.2611  -7.4682   1.6940 
+  3.5074   1.3392   1.0862   2.9814   0.8158  -2.6160  -2.3837  -0.8255  -0.1595   2.0087  -2.8876  -2.4727  -1.3574  -1.2864  -1.5711  -1.0772   0.4648   2.7262   2.1044  -0.3970 
+ -0.1430  -0.9788  -2.1195  -0.7774   4.0804   3.7123   1.5082   0.2869  -2.5968  -2.0127   1.5147   3.7486   3.2447   0.6959   0.3308  -2.4516  -3.4598  -4.1669  -0.6870   0.2709 
+  0.0724   0.3235  -1.9536  -2.7454  -3.3392  -1.9023  -1.0150   0.7511  -0.0539  -2.8386   5.2737   5.1053   1.4372   1.4046   1.4504   2.4912  -2.6526  -0.6188  -0.6530  -0.5369 
+ -6.9550   1.3233   4.3542   2.9502   0.9929  -0.1186  -0.8657  -2.3452   3.5061   2.8348  -4.1741  -4.1264   4.6970   3.0117  -0.2849  -8.0081   3.4452   0.7819  -2.7443   1.7251 
+ -4.0878  -0.8849  -4.7521   5.0067  -3.3510  -4.8233  -6.6328   4.8752  -0.7474   3.8614   2.6271   0.9119   1.0371   2.2968   4.3160  -3.7042   0.9900   0.4960   4.7952  -2.2300 
+  0.5901   2.0654   1.7824  -0.5570   0.4874   2.7659   0.8232  -0.1306  -0.6795  -1.3143  -1.2480   0.9969   2.0563   0.1625   0.7346   0.0223  -1.6836  -2.9087  -4.1058   0.1406 
+ -0.5074  -0.8373  -0.8579  -0.0460  -0.0854  -1.4221  -0.6935   2.5302   2.2014   2.2225   0.5896   1.2715  -0.7624  -2.7997  -5.3296   4.0372   3.2176  -1.4146  -1.3705   0.0565 
+ -3.8190  -1.1051   1.5169  -0.5542  -1.5591   0.2921  -2.1144   1.6664   2.8275   0.7745   2.6977   4.4021  -0.2010   0.0685   1.3158  -0.8045  -5.9834   1.7874  -2.1592   0.9509 
+  0.6749  -0.0635   0.3751   0.6561   0.4718  -2.3144  -4.9191  -3.0907   0.5499  -0.3498   1.2370   2.6699   1.5353   1.6809   1.2117  -1.3733   0.0977   1.3610   0.0102  -0.4207 
+  0.8139  -2.9454  -1.1694   1.1826   3.5742   4.3331   1.4143   1.7017  -1.2428   4.8459  -4.4642  -0.0684  -1.7273  -0.1932  -2.6041  -1.4272   0.2873  -0.9676  -0.1422  -1.2013 
+ -1.8690   1.2475  -2.8884  -0.3842  -0.3588   2.7759  -2.0060  -2.2023  -2.6599  -2.5791  -3.1221   3.2645   1.8131   2.8630   6.3144  -4.2619   0.7589  -0.7608   4.8657  -0.8104 
+  2.3449   0.3057  -2.2411  -1.3084   0.6572  -0.3790   0.2674   0.5337   0.4996   0.8832   2.3616   3.9339   4.7846  -2.7473  -0.5167  -0.0864   0.9288  -4.3018  -4.0903  -1.8294 
+  2.9658   2.7467  -1.9276  -4.0009  -0.7257  -0.6616  -2.0255  -1.2898   0.3022   1.5810   3.0521   2.5790  -3.2369  -0.4791   0.4455   0.1138   1.1032   0.9003  -1.5708   0.1285 
+  5.2204  -2.8190   0.8203   0.5992  -1.3205  -2.1549   5.0256  -1.6050   0.5506  -2.8092  -0.2831  -1.6376  -1.8233  -0.0177   2.5319   2.0586   0.9166  -1.5417  -0.3071  -1.4039 
+  0.1090  -0.1359  -0.4821  -0.5060  -1.1903  -0.1205   1.3010   0.0989   0.2280   1.3298   1.4648   0.7280   0.0076  -1.4837  -0.1633   1.2525   0.9437  -0.0019  -3.9783   0.5988 
+ -4.0941  -3.4220   0.4966  -5.4678   6.0636   1.1749  -0.1830   3.3518   3.5480   1.4243   2.5791  -5.9065  -1.8723  -1.6703   1.3990   6.8845   1.8643  -1.2344  -3.7475  -1.1880 
+  3.5819   1.2282  -0.2187  -0.8194  -0.0683   0.6784   0.9405  -0.1871  -1.0635  -2.3089  -1.7476  -2.3377  -1.8039  -0.2123   0.7402   0.8810   0.7063  -3.8015   4.2698   1.5426 
+ -0.7508  -2.5319  -1.4606   1.0638  -3.8848   1.2060   2.6878  -1.2315  -0.1629  -2.2730  -3.3361  -1.6208   1.9855   3.4308  -0.2120  -1.4559  -0.3738   2.3568   2.3629   4.2004 
+  1.5564   1.6137   1.4225   1.6668   1.3266   0.0460   0.1831  -0.3664  -1.4348   2.5690   2.2918   1.6955   1.6680  -1.3807  -1.0884  -1.0980  -0.5844  -1.0295  -3.6955  -5.3616 
+  1.7128  -1.8066  -4.0653  -3.8214  -0.9531   3.4797   0.7961  -2.4955  -2.7851   0.0025   0.7872   1.0652   1.5456  -0.4352   1.9173   4.6258   0.3691  -0.1501  -0.2351   0.4458 
+ -1.6777  -3.1299  -1.6947  -1.1535  -2.1999  -3.2226  -0.9846  -2.1533  -0.6467   2.0938   2.1307   2.9065   1.5181   3.0875   0.0486  -0.2157   1.3461   0.7741   2.7320   0.4413 
+ -2.0098  -0.0651  -1.1313  -3.1454  -1.8173   0.4664   2.3278   3.1806  -3.0726  -1.5969   3.6994   0.6478  -0.6833   1.0635   1.1405   6.7102  -4.8934  -4.2029   3.4752  -0.0933 
+  3.0911   3.1320   3.6764   1.2247   2.0977  -0.4399  -3.9470   1.4276  -0.2596   0.5511  -6.4999  -0.9385   3.2215   1.7397  -2.0786  -2.6160  -3.0150  -2.0586   1.9218  -0.2304 
+  0.5955  -0.9572  -3.8115  -1.2133   0.9600   3.0247   8.6360   5.7851   6.1244   0.7094  -2.4410  -1.1712  -1.7901  -3.5399  -2.8318  -2.5468  -4.9596  -0.6022   0.6141  -0.5845 
+ 12.5835   1.8094   0.1352   1.7718   0.9427  -1.3690   7.1277   0.0421  -2.3404  -4.6650   1.4653  -2.4880   2.6056 -10.3828  -8.1067   4.1108  -1.2481  -1.8330  -2.7827   2.6214 
+  2.9658  -0.2617   0.2806  -0.2164   2.8550   1.9755  -3.5301  -1.2350   0.9311   0.8713  -2.2265  -0.6005   2.6386   2.7666  -2.3603  -2.5163   1.6854   1.0161  -7.8883   2.8489 
+ -0.9445   0.6006  -1.3214  -5.0651  -2.1702  -0.0289   0.1003   2.2883   0.0424   3.4686   2.0494   1.6327  -1.6152   0.1220  -2.8666  -2.2261   4.9579  -2.2581  -2.7323   5.9663 
+ -1.3666  -0.2364  -0.3999  -0.9988  -2.0227  -0.0610  -0.5411  -2.2113  -0.2283  -1.7150   1.0239   4.2760   1.9603  -3.0526  -2.5894   0.8611   5.2528   3.4951  -2.2336   0.7875 
+  4.7609   3.7023   0.7955  -3.1291  -1.3671   0.8798  -0.9947   0.2668   0.5762  -0.9479  -4.5541  -0.6922   0.0699  -5.8412   4.2302   5.0652   1.3544  -2.4661  -0.6224  -1.0865 
+ -2.6815  -0.9958   1.6109  -1.7618  -2.5561   1.0357  -1.5863  -2.2811   3.4491   1.1806  -0.2855  -0.1380  -0.0202   5.6861   0.8289  -1.0913   0.5986  -1.1493   3.2455  -3.0884 
+  1.7353   3.1908   5.0898  -0.4602   0.0751  -2.1427  -5.0910  -3.1667  -3.3291   1.9531   0.4802  -4.8101   2.2518   2.4380   0.6439  -7.3548  -0.0689   1.8997   5.7170   0.9491 
+ -1.1588  -3.1119  -3.4525   0.2538   1.3345  -1.0500  -0.3870  -0.0472   0.1522   4.0806   2.8886   3.8741  -1.9507  -2.9183  -0.3828  -0.0805   0.4136   1.1466  -3.1863   3.5818 
+ -4.1654  -5.7362  -5.0041  -0.9889   4.1884   4.8135   1.5658  -2.3781   0.8425   7.5151   7.3977   3.9243   0.6283   0.9194  -5.0741  -1.9566   0.2100  -4.9786   0.8760  -2.5989 
+ -5.3114   2.2992  -1.9803   1.2150   9.1545  -2.1960  -2.8749   9.6686   0.5512  -4.1700  -1.1338  -4.1549   1.6645  -3.1643  -1.7800   4.9896   0.3390  -0.0421  -1.0391  -2.0347 
+  1.0740   2.1840   0.9247   2.0617  -2.1994  -4.0653  -1.5118  -0.9397   1.3781   2.9104  -0.8864   8.5382   0.5495  -3.5922  -0.2482  -0.5485  -0.9604  -1.8453  -3.1808   0.3575 
+  3.5141   2.7621   1.2101  -0.3665  -1.1827  -0.5351   0.4822   0.7598   0.8241   1.4976  -0.8943  -2.8067  -2.3512  -2.0448   0.3706  -0.9201  -3.9192   1.1431   0.4761   1.9809 
+ -1.7817   1.1939  -1.2195   1.7524  -4.7374   1.1520   0.0973   1.5475   2.2848  -7.7870   2.0346   0.5213   2.8861   3.1077   1.1974   2.3936  -1.4248  -0.2888  -1.4706  -1.4588 
+ -0.7677  -2.0426  -2.9918  -1.8722  -1.4336   0.4207   1.4107   1.0509  -0.1714   0.2221   1.3054   0.5884   3.1454   1.8747   0.1510  -0.5701   0.5457   2.7058  -0.0854  -3.4859 
+  1.6593   1.0024   0.3202   1.0267  -0.2368   0.1208  -0.7272  -1.0487   0.2686  -1.0197  -1.3131   4.1829   1.0297   1.7779  -3.0898  -0.7777  -4.5532   2.1765  -0.3100  -0.4886 
+  2.9341  -0.2895  -2.4210   0.9438   2.9490   1.2447  -0.4279  -0.4133  -0.2487   0.6464   0.1859  -0.8613   0.0690  -2.0024  -3.5783  -0.9123  -2.3469   0.3089   5.3909  -1.1710 
+ 13.8818   0.6217  -0.6459  -3.4218   0.8331   0.8918   2.2009   4.0596  -3.0380  -7.3862  -3.2105  -2.2108   4.7972  -5.3735   3.8870  -1.8190  -0.5123   0.9752  -3.6921  -0.8383 
+  0.2536 -11.0226   4.4625  -7.9396   8.6657   2.6088  -1.0215   0.4492  -5.0641   2.7194   1.1735   2.2070   3.3733  -0.2605   5.5319   3.5989   0.2759  -3.6185  -2.9338  -3.4591 
+ -0.2533  -1.2245  -1.1924  -0.1962   0.6099  -2.1289  -2.0002  -2.0390  -1.5592   0.7879   0.1165  -0.9325  -1.5485   0.4552   0.3883   1.9054   2.3495   3.9138   2.3594   0.1886 
+  0.1750   3.7528   1.6899  -4.3270  -5.0437  -3.1410  -4.7768  -1.9628  -4.5893   5.9435  -9.6773  -0.4601   3.0571   1.2797   0.1161   3.5574   3.7157  -2.0222   5.9308   6.7823 
+ -0.6999  -2.9933  -3.6606  -0.6207  -1.4032  -1.1364   0.2530  -0.9004  -2.7685  -4.3142  -0.7561   0.8142  -0.4715   0.8444   2.0053   0.5983   3.3363   4.4913   6.9146   0.4673 
+  1.0959  -0.0886   0.2379   3.2725   1.2016  -1.1581  -1.3640  -0.6268  -0.3678   0.9051   0.7593  -2.2902  -1.4578   0.6349   0.5115  -4.4984   2.2315   2.2535  -2.7867   1.5345 
+  3.6055   3.8842   2.1794  -0.7568  -1.0500  -2.1686  -0.6731  -2.0718   0.8001  -0.6819   1.1112   0.5707  -2.4862   3.1489   2.6767   2.5134  -1.9147  -4.1519  -2.4548  -2.0802 
+ -1.9388  -0.7447  -0.8349   0.1123   0.1251  -1.3476  -2.6413  -0.4770   5.6864  -1.8563  -3.3514  -0.5309  -1.6295  -1.3453  -0.4664   4.5930   1.1909   2.9264   0.9356   1.5944 
+  0.5951  -0.4177  -0.1304   0.5462  -1.3265   1.4534   1.6425   0.9730   0.8946   2.1586   4.2557   0.8968  -5.0524  -1.9576   2.6089   0.6571   0.7918  -2.2504  -4.5907  -1.7480 
+ -1.6456  -2.0706  -2.4462  -2.5983  -2.5056   2.0863  -0.9159  -0.8806  -0.8052  -0.7776   1.0285   0.4522   1.5131   3.4530   4.9330  -2.7752   1.7750   2.1982  -0.0181  -0.0006 
+  2.2117   0.6658  -0.1647  -0.7769  -0.3291  -0.0686   3.1830   1.8603   1.0488  -0.7866  -1.0352   1.6465   0.2395   0.3989  -1.2496  -1.9498  -2.6996  -7.5216   1.3320   3.9951 
+  1.0405   1.3681   2.7153   3.0279   2.8206   1.9933  -1.5434  -2.0223  -1.0490  -1.2756  -0.1434   0.2554   0.8858   1.3178   0.3714   3.5670  -3.1912  -1.0147  -3.0243  -6.0993 
+ -0.8348  -2.4017  -3.6731  -2.0399  -0.2474  -1.0640  -1.1488   1.3352   2.8367   5.1498  -0.0673   1.7148   2.0672   0.7800  -2.8302   2.8981  -0.7525   1.3119  -2.4119  -0.6222 
+  3.0927   2.0509   2.4548  -1.3001  -3.9942  -0.7486   2.8523   0.1569  -4.3404 -10.5627   4.2087   4.2968   2.7013  -1.1646   0.2008  -2.4272   1.8708   0.5192  -2.3092   2.4416 
+  0.6449  -3.5216  -3.8362   2.1329  -1.2999   0.6434  -2.5079   3.1409  -0.9430   2.1409  -0.9005   2.6639   5.8420   2.2508  -0.1834  -3.5407  -2.0329  -1.9827  -0.2675   1.5565 
+  5.1512   4.1361   0.9497  -3.1897  -6.0608  -4.8346  -0.7128  -2.1849  -2.1809   0.1265   0.3295   0.2665   1.1233  -0.4722   2.7945   1.1909   0.4093   1.9529   0.6380   0.5674 
+ -2.0255   1.8944   3.2610  -0.6543  -0.1603   1.6419   1.8339  -4.1284  -1.6495  -7.4417   2.7611   3.0349  -5.4696   5.3754   0.2729   5.1700   0.7296  -0.1265  -1.6533  -2.6659 
+ -7.1882  -6.8851  -0.9549   2.6573   1.6288  -0.3149  -2.2361   1.6706   4.0565   3.2723  -2.0478  -0.6505   2.7769   4.9536   1.8310  -4.1026  -0.8540   2.2409   0.8671  -0.7209 
+  0.8703   1.1461   2.9551   0.5102   0.4539   9.1307  -3.4339  -1.5513  -2.2902  -4.1038  -6.0580  -0.8757   3.5830   2.5081  -1.9449   0.3605   0.8645   0.6768  -0.2206  -2.5809 
+ -4.5091  -1.0618   1.6342   0.5890   1.0199   0.7070  -0.4636  -0.7393  -2.0902  -4.3948  -1.8491   2.8967   1.9263   0.6394   4.9955   3.9485  -0.2145  -1.3652  -1.4955  -0.1736 
+ -1.2527  -0.6868   0.0359   0.5854   0.7286  -0.5988  -1.0892  -1.2358  -0.5524  -1.8766  -4.8554   1.3154   3.0969   1.2141   0.4785   0.5435   0.9660   0.9526   2.5969  -0.3662 
+ -3.4429  -2.5359  -0.7902   1.6794   1.3950   0.9304   0.5281   2.0451  -0.2820  -0.7620  -2.3113  -2.5279  -1.2407  -4.6199   3.9276  -1.3637   2.0692   2.0266   2.4150   2.8601 
+ -0.0841  -1.4504  -2.5295  -2.1914   0.0160  -1.5806  -3.8581  -1.8751   1.2410   1.4792  -0.0268  -3.0304   1.1672   3.1034  -0.0043  -1.7750   1.0722   5.8103   3.7335   0.7830 
+ -1.2601  -0.9248  -0.9753  -1.1580  -0.4657   0.9286   0.4457  -0.7164   2.9298   6.0232   1.1288  -9.2201  -2.6002   1.0866   3.5907  -0.3994  -0.8783  -0.4493   3.0463  -0.1320 
+ -2.6865  -1.7683   0.5719   4.2697   0.4434   0.9403  -0.1787  -3.9995  -1.4954  -2.9666   0.5871   0.7458  -0.5643  -3.3758   2.4009   1.3630   3.2345   2.9305   0.6423  -1.0943 
+  0.2605  -0.1269   0.1894   0.8801   5.6065   4.4842  -0.3360   1.6337  -1.0080   2.2349  -1.3371  -3.4195  -1.5849   3.4658  -2.7632  -2.8878   0.2535  -1.0857  -3.4858  -0.9736 
+  0.5903  -1.1309  -3.8731  -2.8181   0.6957  -2.1930  -3.7976  -0.1684   0.3131   0.8609   0.0568  -0.1356   5.9915   2.3704   3.9840   0.5840  -1.9366  -2.6479   0.4937   2.7608 
+ -1.4917   0.6707  -1.8279   0.4736  -4.3226   7.6508  -0.6770  -1.0388   1.6577   3.4357   2.1210  -1.6783  -1.9394  -0.4857   0.0446  -2.1769  -1.5641   1.5895   1.4750  -1.9161 
+ -2.4617  -1.4865   0.9268   3.7356   1.9298  -1.0879  -0.9003  -0.6573  -0.4536   1.1463   2.5279  -0.9025  -2.1547   0.5579  -1.4546  -2.5618  -1.1020   1.7633   4.9058  -2.2707 
+  3.2436   2.0698   1.3674  -1.4618  -0.4269   1.2764   0.3160   1.2237   0.7208   1.5117   1.4584  -0.5527  -0.7757  -2.7217  -4.0792   1.8261   2.7197  -3.9546  -1.7508  -2.0101 
+  0.2659   1.9357   0.5705  -1.8509  -5.0017  -3.7512  -2.7574   0.2996  -1.1250   0.6895   2.7521   3.7090   3.4556   6.5334  -3.5389  -3.8970  -2.9436   0.7650   1.5177   2.3717 
+ -1.2532  -0.7651  -0.7634  -1.6900  -2.3167  -1.0574   0.9291  -0.7963  -1.4770  -1.6646   0.5558   0.7009   3.4059   9.2719   1.4172   2.4588  -0.7901  -3.7873  -1.0613  -1.3173 
+  3.2264   0.6063  -2.4159  -3.8529  -1.9936   2.6889   2.5115   0.8341   0.8209   1.2008   0.7255  -2.1489  -1.1543  -0.6443   2.0479  -0.7011  -0.5619  -0.0820   0.5538  -1.6613 
+  0.8900   0.2673   1.2328  -0.1459   2.5186   2.3429  -0.5461  -0.5497   1.9452   5.1637   1.5156  -3.9805  -1.5621  -1.5331  -2.7711  -2.2357   0.7958  -1.6083  -2.3152   0.5758 
+  4.0233   3.7838   3.0862   2.4680  -0.8644  -2.4804  -0.9694  -1.9035  -3.4966  -3.9590  -3.9724  -1.2080  -1.6237   0.7915   0.4354   0.8419   1.1287   1.8538   2.3476  -0.2827 
+ -0.5315   1.6742   2.6296  -0.5391  -1.8812   2.7171   6.8646   3.9934  -2.0577  -0.8537  -4.3316  -2.4473  -2.8864  -0.3456  -1.9169  -1.4494   0.4578   1.9608  -0.1673  -0.8898 
+ -2.1559  -2.4800  -1.5001   1.3457   3.3362   2.6367   1.4331   2.3397   3.7557   3.4063   1.6588   1.2723  -0.3658   0.5614  -2.5827  -5.6096  -3.4952  -4.1966  -1.5564   2.1965 
+  0.1567  -1.6324  -1.8735  -2.1011   0.8687   2.8596   1.0227   5.0782  -3.8186  -0.4012  -1.0627  -1.0858   2.3105   2.5822  -1.0014  -0.6915   1.2628   0.1273  -4.3120   1.7113 
+  0.5493   0.1877  -0.3065   0.0805   0.1700  -0.4682  -0.7192   0.7521   1.1935  -1.2445   0.5061   3.0407   3.3122   2.9044   2.0613  -2.6946  -2.8479  -1.4855  -3.4536  -1.5377 
+  1.2611   1.2112  -0.4954   1.5849   2.8817   0.5597  -3.2189  -1.8993  -2.3996   0.0235  -0.9270  -1.1263  -1.6443  -3.5163  -1.2543   1.8410   4.5628   1.0754  -0.1607   1.6406 
+ -0.8759  -1.6975   0.2532   6.4042  -3.4246  -2.9858   1.9661  -3.2513  -4.0109  -0.5134   2.5545  -3.0437  -2.1093  -3.6915   4.1398   6.0036  -1.3456   1.3628  -1.0285   5.2940 
+  8.8405  -7.2360   2.8239   7.1563  -1.4248  -8.0410  -1.9196   1.8187  -0.9320  -3.1134   1.9133   4.5783   5.5866  -1.7440  -0.1615  -9.2039   4.4457  -2.5424   2.5822  -3.4268 
+ -1.9594  -0.1440  -0.0014  -0.5248  -1.2740   1.9184   0.2637   0.9658   3.9879  -1.7646   0.8739   3.6824  -1.4748  -0.5493   4.1940  -0.5892   0.9704  -2.3393  -5.2036  -1.0319 
+ -1.8153  -0.8777  -1.3975  -2.8688  -1.3150   0.6005   2.0795   2.0158  -0.0187   2.3273   5.2446   3.1910   0.5420  -1.0394   1.3294  -4.6550  -1.5318  -1.6999   0.2573  -0.3684 
+  4.3069   1.2137  -1.8464  -3.0026  -0.9539   3.1554   3.4215   2.0922   0.4828   1.6102   1.1857   1.5577  -1.8593  -2.9907  -3.0640  -4.6355  -1.6614   1.3592   1.5116  -1.8833 
+  0.6407   1.1519   1.5429  -0.7369  -1.7269  -1.6671  -0.1290  -0.7049   0.8116  -1.2198  -4.0157  -5.1437  -3.1965   2.3418   0.7111   2.6992   0.5585   1.9829   4.9644   1.1355 
+  0.6364   2.1072   0.9870  -5.1572  -4.3363  -1.0839  -1.3521   1.8709   0.8132  -0.2938  -0.2079  -2.5242  -0.8999   2.3401   0.7392   3.1549   3.0568  -1.1375   0.0963   1.1908 
+ -0.0136  -2.4241  -0.4209   1.6339   3.4114   3.5889  -1.4100  -3.5651   3.1831   2.0426   0.5548  -2.0177   1.6429  -3.2634   1.5780  -4.1305  -0.9389   0.1651   0.4588  -0.0751 
+  2.0687   0.8544  -0.3821  -0.1978   1.0057   2.3289   3.0174  -0.3330   2.0178  -0.6679  -0.1993  -1.9170   1.6018  -0.3834   0.6526   1.9588   0.3355  -2.0462  -4.1767  -5.5379 
+  2.7809   0.2282   0.4820   1.9051  -1.7350  -3.4716  -3.3685  -1.3005   0.1251  -1.5366  -1.9516  -2.1469   1.2541   3.7123   3.0390   0.8154   2.3154   2.5014   0.0685  -3.7166 
+ -2.7442  -0.5589   1.8753   0.2528  -1.7122  -1.5279   0.3471   1.3429  -0.0809  -1.0979  -0.5556   2.8899   0.2864   2.1800   1.7006  -3.4442  -2.6681   2.9174   1.9107  -1.3132 
+  1.1471  -0.3191  -2.5131  -2.6788   2.7236   4.0318   2.9420   3.1336   1.5351   0.4800  -0.0086  -1.0945  -1.1975  -0.4758   0.1588  -0.4970  -0.2437  -3.5219  -3.3061  -0.2958 
+ -0.6947  -3.5085  -2.7613   0.0475   0.2365  -2.4104  -0.4597  -0.9262  -0.2261   1.8983   0.9162   0.3544  -1.0767   2.3229   2.3748  -1.6417   3.4712  -3.6716   0.1472   5.6077 
+ -1.7531  -0.9915  -0.4352   0.4089   0.1890  -1.7111  -0.6401  -0.9353  -0.5743   0.3365  -0.6869   0.9392   0.8776  -0.2201   0.7815  -1.7487  -0.2509   3.0732   0.2971   3.0442 
+ -6.4696  -1.5332   1.3136   7.9582   4.7035   0.4178  -1.4784  -2.4577  -0.6662  -2.4183  -3.1348  -2.0591  -4.3423  -0.2080   1.5975  -2.6953   0.1211   4.7779   4.5315   2.0419 
+  0.8642   3.0824   1.7461  -0.8529   0.9231  -0.3502  -2.7586  -2.7081  -1.4853   1.1577   2.4953  -2.0279   3.1643  -1.1352   0.2786  -0.1650   2.4230  -0.5282  -0.4006  -3.7227 
+ -3.9091   0.2639  -0.0395  -5.0339   1.4635   7.9381  -1.8279  -7.5321   1.8947   0.9696  -7.1991   7.7502   4.8838  -5.2722   5.2271   6.4012  -8.2785  -5.8271   0.4487   7.6786 
+ -0.4051   0.3015  -0.5211  -1.1563  -1.5548  -0.8506  -1.7742  -0.6679   0.3853   3.9695   3.1450  -3.5632  -0.3392  -3.3757   1.3514   4.4934  -1.2754  -0.4248   1.0022   1.2601 
+ -3.0667   3.2388   3.6288  -0.3263  -3.6989  -4.3941  -3.0073  -2.9882  -2.7834  -3.8873   2.3701   6.1068   1.0432  -2.8444   0.1460  -2.5272   1.8208   2.6818   7.7176   0.7699 
+ -0.8674   0.6588  -0.0766   1.9350   3.3452   2.7012   0.4707  -0.8282  -0.7703  -3.8252  -2.8814  -0.2389  -1.3895  -0.9376   0.2572  -3.4418  -2.3763  -1.8695   7.4789   2.6558 
+  0.8567   1.9741   0.6363   2.1993   1.9072   2.2211   3.7376  -0.0455   1.3289  -1.0736  -4.8817  -4.0284   2.4624   1.0596  -3.8101  -3.8498   0.8895  -0.5176  -2.3743   1.3083 
+  3.7465   3.5865   0.1979   0.4072  -1.1714  -1.4598  -2.1688  -1.4971  -1.1953  -2.8028  -1.8515   1.1483   3.7654  -2.6485   1.2635  -2.4929  -1.4965   0.6356   3.3756   0.6583 
+ -1.7286  -0.6675   0.3769   1.1159   0.0587   1.4828   1.2140   6.0165   1.2212  -3.4526  -2.4321  -0.8616  -2.2663  -0.0017  -0.0046   0.2615   0.0517  -0.8546   0.5801  -0.1095 
+  3.4455   1.4668  -0.0851  -2.9245   0.0932   1.2861   1.1250  -0.6317  -4.0005  -4.4206  -1.5097   1.3643  -0.1238  -0.8046  -2.4500   4.2293   2.9297   3.2594  -3.0122   0.7633 
+  2.2354  -0.6334  -2.7256  -1.7876  -1.8603   0.6549   0.1244  -1.8100  -1.7636  -2.7665   1.0419   3.6034   2.7187  -5.8124  -0.9848   2.8478  -0.3193   3.4835   2.5353   1.2184 
+  3.0602   4.3425   2.4260  -0.5623  -0.8919  -0.2730   1.3901   0.4772  -0.5219  -1.3754   0.4815   2.4087  -5.0472  -5.6009  -2.8901  -2.4607   1.8809   3.5997   3.9232  -4.3669 
+ -0.0346  -0.2122  -0.2290  -0.9365  -0.4221  -1.9300  -2.3572  -2.9919  -2.2394   3.2115   2.4104   2.4249  -0.5682   1.5001  -1.3857   2.6140  -1.8866  -5.6180   7.3368   1.3135 
+ -0.4484  -1.1107  -1.9143  -1.2992  -0.5392  -1.0181  -0.6562   0.5186  -0.7919  -1.4379  -4.0959   2.4107   1.5417   0.0557   3.4844   1.7096  -0.8275   1.7994   2.0983   0.5209 
+ -0.4549   0.1830   0.2262  -2.2572  -1.5931  -0.7026   2.6431   2.6098   4.0381  -0.4805  -2.9134  -3.5443  -0.6536  -2.1551   2.0956   1.2393   0.2979   0.9155  -2.0621   2.5682 
+ -0.1092  -1.2889  -2.5682  -2.3378  -1.7259  -0.5628  -0.6114  -2.8295  -2.5690  -3.3678  -2.2669   0.6023   0.3823   5.9006   5.7607   1.9871   0.6942   1.2471   3.2445   0.4186 
+  0.6515   1.8638  -0.3444  -2.0169  -0.6995  -2.9879  -2.4596  -1.0847  -0.8686  -2.3776   2.0331   4.8909   4.1694   1.2690   1.4079   1.9289   1.8820  -0.9986  -3.0198  -3.2390 
+  1.7936   1.2201  -1.9231  -2.6761   1.6107   7.0585   8.8031   2.9894  -2.3291  -6.5825  -1.5641   3.0126  -4.0096  -4.0332  -0.6223  -0.5985  -0.8359   1.2689   0.3585  -2.9410 
+ -1.2384  -0.3295   2.3565   3.0657   3.2204   1.0890  -0.5456   0.1283   2.9904  -0.0970  -5.2104  -1.5801  -2.5751  -2.3243  -0.3014   2.6881   0.5623  -1.5424  -1.9388   1.5825 
+ -2.6631  -2.8705  -3.6445  -0.1511   1.0369   4.6018   2.7993  -0.5794  -0.1152   0.9196   4.1279  -0.7083  -3.1505  -2.1870  -2.5145  -0.8667   1.9629   3.7810   1.8562  -1.6347 
+ -3.7832  -0.9972   1.0298   0.8253  -2.4369  -3.3827  -2.6892  -0.8231  -1.0820  -0.0375  -0.7937  -1.8433  -0.5302   3.8146   2.3123   1.6122   4.1004   5.6672  -1.0450   0.0824 
+ -0.1000  -2.0200  -0.5383   2.2917   0.8366  -2.2105  -0.8495   2.1052   3.4989  -0.0827  -0.3031  -1.7154   1.3463   5.4572  -3.0939  -0.0935  -1.1704  -5.2410   2.4300  -0.5476 
+ -3.7789  -1.9485   1.8338   2.9833   0.6807   1.8337   5.1432  -0.4532   0.5973  -0.6042   0.8753  -1.5014   0.4292  -2.2709  -1.2993  -0.1667  -1.6955   1.1932  -6.0865   4.2353 
+ -0.4920   0.0568  -2.6837  -3.2294  -0.2920  -0.6790   2.7843   3.0219   1.7934  -2.2037  -3.0967   1.8829   0.5782  -1.6334   1.9235   4.5606  -4.2261  -0.0121   2.2982  -0.3517 
+ -0.6429   2.5139   2.3667   2.2000  -1.8905  -1.3195  -0.0575  -0.6720   2.8832   0.3828   0.9744   2.9334  -0.6053   3.2595   2.5269   0.0016  -5.8119  -0.9627  -4.8744  -3.2058 
+  0.8584   0.9302   0.3630  -0.3058  -0.9190  -1.1142  -3.3748  -2.6210   0.9921  -0.0440  -0.2277   0.8060   1.7478   2.0581   0.3900   4.4187   5.8430  -6.6138  -3.1191  -0.0680 
+  0.3281  -0.0986  -1.1173  -1.9481  -2.4515  -1.0863  -1.3545   1.1448   2.8412   3.7501   2.6741   2.7224   1.8554   1.4018  -3.7195  -2.9142  -1.2068  -4.2062   2.9680   0.4170 
+  0.2181  -1.3017  -1.3715  -0.9326  -1.1639  -0.6082   2.2905   2.1838   3.1530   3.3746   2.0088  -0.8055  -1.0486   0.7007  -1.7960  -0.3898  -2.4327  -2.4057  -2.1793   2.5060 
+ -2.4912  -0.4925   1.9418  -0.6320  -1.0125   1.8048  -1.5360  -1.7457  -0.3001   0.5912   0.4548  -1.4661  -1.5177  -0.5917   5.6377  -3.6558   1.8798   3.7139   3.0715  -3.6543 
+ -1.0770   1.7774   3.6503   0.2492  -2.5625  -1.2989   0.3077  -1.4511  -0.7454  -1.0293   0.9281  -0.0970  -1.4180   0.5544   2.0070   3.1415   2.3666  -0.7117  -2.8143  -1.7770 
+ -1.8815  -2.2795  -1.1580   1.0865  -0.0453   1.6476   0.0859  -1.8231  -0.7599  -1.0013   0.0173  -0.6116   0.0110   0.6057   0.1048   0.3920   2.8241  -0.4223  -0.2920   3.4995 
+  0.0544   2.8654   4.0202   1.6845  -1.8534  -2.9185  -1.4228  -3.6388  -2.0210  -2.4342  -3.4254  -1.7961   2.7218   6.6019   2.2780  -0.0758  -2.1727   1.0645  -0.3083   0.7762 
+ -4.2733  -4.7209  -2.5347  -4.1434  -2.3709   0.1195   0.9517  -1.8672   1.5567   3.4133   0.9511   6.1534   5.0591   3.3617   4.3448  -0.8335   0.0697  -1.2096  -2.2085  -1.8188 
+  0.0539   1.0537   0.6965   0.7551  -2.3328  -4.4085  -1.7944   4.6582  -1.8228  -0.3800   0.4342   0.9079   1.1727  -0.2538  -0.9787   1.6403   0.3758   0.2889  -1.0679   1.0017 
+  0.9075   0.5642  -0.6092  -2.8652  -3.3111  -1.2627   1.6981   0.5866   2.5675   2.8589   1.6024   2.0917   0.4354   1.0342   1.2054  -2.7817  -0.5893   0.0883  -2.8199  -1.4010 
+  0.8980  -0.3869  -0.4833   2.6033  -0.0884  -0.3699   7.2953   1.6809   0.8531   1.6498  -4.4993   0.0072  -1.9421  -1.8001  -2.5825  -3.6475  -2.3221   0.6178   0.3128   2.2040 
+ -6.0307  -1.3653  -0.3786   0.0247   0.6616   0.7676   3.3234   3.0965   0.7765  -0.6097   1.0441  -0.9142   1.6186  -9.2158  -4.2017   2.5866   2.2875   2.0945   2.8697   1.5646 
+ -0.3542  -0.0280   4.1718   2.5282   6.0404   2.9659  -1.0269  -1.4497  -5.6815  -3.9178  -3.9280  -6.4467  -2.5804  -4.6703  -1.3963   3.1437   4.3980  -0.5477   2.7035   6.0758 
+ -1.5432   3.8376   1.4210  -1.1449   0.4892   1.3172  -2.0383  -2.2564  -2.1791   3.0272  -4.0284  -1.3615  -1.9716  -4.9880   3.8800   2.5715  -2.8049   5.2429  -2.0992   4.6290 
+  1.9112   0.2401   1.2090   1.9221  -0.5051   2.0731  -0.8317  -1.4381   1.1319   0.2604   4.8570  -4.2486  -4.2343  -0.1445   2.6106   1.1135  -3.4590  -1.7688   1.2613  -1.9600 
+ -4.6396  -2.9689   0.9238   0.7657   0.5574  -0.3650  -3.7022  -4.0756  -5.0362   0.3243   3.1880   1.7270  -0.7319   2.9308   3.7592   2.6099  -0.3181   4.3233   1.9146  -1.1863 
+  0.1980  -2.2883   0.9330   3.8033  -3.0797   0.0635  -1.8773  -1.7344  -1.0161   0.1560  -0.1661  -3.8927  -0.3658   0.3316   1.1226   1.9542  -1.0490  -2.2906   3.6658   5.5322 
+ -0.8058  -0.9870   1.9765   0.8081  -0.8891   1.6549  -1.7178  -0.2062  -0.6134   3.7968   2.8384   4.3753   1.2045  -6.0029  -1.5145  -3.5656   0.8785  -0.8278   0.9419  -1.3448 
+ -1.9513   2.4604   2.9573   3.3043   2.2986   1.0394  -0.4185  -0.0890  -0.2841   2.2073   1.6514   0.3367  -1.0792  -1.4676  -0.8850   1.7747   0.0695  -7.9932  -5.3486   1.4171 
+ -2.8766  -0.2007   0.3439   0.7801  -0.0362  -1.8832   1.2162   3.7611   1.5511  -0.2914   4.4891   2.4265   0.5170   1.2791  -3.0822  -4.3172   2.1550  -1.7349  -2.5924  -1.5044 
+ -1.3853  -0.5001   0.6365  -1.9167  -1.9693  -1.6932  -2.5123  -3.1209  -1.5363   3.8772   1.7176   4.5613   2.2969  -1.7507  -0.4549   2.7398  -2.2572  -0.1132   1.3625   2.0183 
+ -0.2587   0.7517   0.0083  -1.5665  -2.9108  -3.8211  -5.3272  -2.2879  -3.3006   3.2010   3.9688   4.6713   3.8047   3.4665   0.6502   0.9612   0.0958  -1.5002   1.1994  -1.8059 
+ -0.0767  -2.8888  -3.8572  -1.6523   2.8392   3.7128   0.7093  -0.0657   0.9823  -1.6073  -2.1810  -1.5064  -0.6392   2.2679   1.7322  -1.1001   1.0422   1.4078   2.4192  -1.5382 
+  2.1069   1.6101  -0.6015  -1.1106  -0.0731   0.3657   2.1738   0.6411  -3.2826  -4.2217   0.0005   4.1333   2.9287   4.0221  -1.0117  -7.1186  -0.3700   1.5812   0.1654  -1.9391 
+ -3.3989  -5.4211  -3.3823   0.1417  -0.2090  -2.9282   3.8367   5.4395   2.1603  -1.6658  -0.0286   3.8151  -1.6236  -0.4057  -0.8473   2.3634   0.3434   0.0424  -0.3374   2.1055 
+  3.8095  -5.8994  -4.2159  -2.8701   5.1790  -4.6791  -5.6257   0.4437   3.5907   6.0531  -2.4206  -0.6190   2.0474   3.5867   7.1475  -4.6633   4.1906   1.2868 -11.1492   4.8074 
+ -5.2857  -2.3511   1.8870  -1.8753  -2.8109   0.3363  -1.9008  -0.4090   0.8741  -0.4525  -6.3796   0.4485   2.7092   2.5765   4.4129   4.7975  -0.3228   3.7712   2.7353  -2.7608 
+ -3.9913  -5.9775  -2.6898   8.0565   3.5971   1.2374   3.4590   0.3338   0.6958  -1.1912  -2.2406  -2.0748   0.0857   3.9701   1.1276   1.2332   0.6559  -3.8152   0.9255  -3.3971 
+ -2.4876  -2.5150  -2.0296  -1.0642   1.0080   0.6973  -1.7376  -1.5703   1.5923  -0.7283  -0.1226  -1.7315   2.4167  -0.4425  -1.5075   3.8846   0.5544   0.8966   4.6270   0.2600 
+  2.8767   0.9007   0.0796  -2.1662  -1.5086   1.0148  -1.3370   0.8661   0.0749   1.4614   3.1800   2.1743  -1.6449  -2.7523  -2.7644   2.2901  -1.9100  -4.8716  -2.0883   6.1248 
+  3.6336   2.1044   0.4628  -0.6805  -0.0353  -2.3281   1.0902   3.0334  -1.9070  -2.0882  -2.9673   0.1514   0.3556  -1.0151  -5.4063   2.3884   2.5624  -3.2553   3.9458  -0.0449 
+ -1.3869  -1.5992   1.4579   1.4992   1.7691   0.8878   0.9518   0.7305  -1.5050  -1.6287  -1.6402  -0.3868   2.7983  -2.2046  -0.5051   0.1956   7.1623   2.4667  -5.9139  -3.1488 
+ -3.5734  -7.3577  -7.1566  -1.3669   4.3200   2.1415   0.4237  -0.1707   3.4434   2.6751   2.2337   0.4895   2.5968   1.0123  -0.9145  -1.1189   0.9048   2.1474   0.4312  -1.1607 
+ -5.2465  -1.6283  -2.7428  -3.2948  -2.2122   4.3049   4.7808   4.7619   0.2262  -0.6089   1.1643   3.3590  -2.1676   0.2134  -1.1502   1.4193   1.4168   0.3538  -2.8694  -0.0796 
+ -3.4905   1.2508   2.0451   0.4490   3.1300   4.3899   0.1675  -1.3519  -0.0668   0.4245  -1.7121   0.2301  -2.2070   0.3069   3.1491  -7.5721   2.7986   3.8554  -4.1493  -1.6472 
+  1.5232   1.5300  -1.0621  -1.4488  -0.8044  -0.3900   1.3086  -2.5549  -4.3776   0.5264   2.2421  -0.5299  -2.7363   4.9582   1.0929   1.1601   2.8351   1.9896  -4.9813  -0.2808 
+  6.5366  -2.5283  -5.5972  -3.4516  -0.2385   1.8382  -1.6024   0.2804   8.8284   4.4416  -6.1238   3.7728   3.4763   2.9323  -2.3678  -5.5110  -4.9901  -0.1283   0.0084   0.4242 
+  1.9342   1.5660   2.2346   1.0331  -0.6035  -0.4461   0.0271   0.7571   1.1796   0.2963  -0.9807  -0.5607  -1.4711  -2.5426  -4.1871   2.4178   0.2030  -1.7949  -3.6655   4.6035 
+  2.2188   0.9702  -1.9037  -2.3323  -0.9270  -0.7473   0.4463   4.0069   3.2380   1.6378   1.5850  -1.9473  -1.2130  -2.1935  -1.9102  -3.3249   2.6456   1.0820  -1.3884   0.0570 
+  1.8633   1.2717   1.6148   0.3758   2.9711  -0.8914  -1.2864   1.1672   2.0355   1.2245  -3.7030   3.7200  -3.0675  -1.9250   2.2356  -0.7355   0.5128  -4.4528  -2.9595   0.0288 
+ -2.2984  -0.5209   0.3609   2.6675  -3.6910  -0.3519   6.3822   3.0237  -0.1277  -2.2553   1.0403   0.9970  -1.3107  -1.9745  -0.1646   4.8839   0.1333  -1.3256  -3.4240  -2.0441 
+ -2.3190   2.2812   1.2138  -1.1727  -3.3340  -5.2226   3.6390   2.5124  -1.5642   3.4166   0.5330   1.8016  -0.3986  -2.9233  -3.7394   0.9982  -0.0060  -1.6833   4.3443   1.6231 
+ -2.2576  -2.6516  -1.1317  -1.2013   0.7393   0.1827  -1.2343  -3.2192   2.3728   2.7817   1.6779   0.8901   0.5320   1.4647   3.7014   7.0412  -2.6912  -2.5104  -1.2474  -3.2389 
+ -1.7690  -1.9167  -2.8243   0.8559   1.6454   0.6817   0.5231  -1.2522  -2.6542  -3.2288  -0.2864   0.0091   0.5513  -0.6182  -3.9328   4.4973   6.4951   0.4313   1.6808   1.1116 
+ -0.2744  -1.5780  -1.8323  -1.2019  -0.3620   1.2906  -0.2832  -1.9105  -0.8966   0.8634  -0.4648  -2.3172  -1.9676  -1.7065   0.8232  -2.4736   3.5667   5.3037   4.3018   1.1191 
+ -0.4003  -1.4016  -2.6548  -3.2373  -2.1471  -0.9075  -1.1057   1.1084   0.0584   0.6994  -2.2697   0.1501  -0.0187  -0.2177  -1.1214   2.5501   5.4533   5.8815  -0.4561   0.0366 
+  2.4755   2.6766   3.3810   2.8797  -1.3067  -1.2604   0.4792  -1.5575  -2.0569  -1.1560  -1.3594  -0.7176   0.2831   1.2557  -0.1965  -2.5773   0.8488   0.4905  -3.0053   0.4234 
+ -0.5334  -1.6405  -1.4903  -1.2901  -2.0368  -2.4054  -2.0422  -1.2649  -0.3204   2.3946   2.8987   2.5774  -1.9494  -5.6321   2.8212   3.6550   3.9850   1.2152   1.3991  -0.3406 
+ -1.8395  -0.9841  -0.1468  -2.7046   0.5709  -0.0486   2.3079  -3.1973   5.7249  -2.0537  -0.8947  -0.5513  -1.5588  -0.0660   1.7712   1.4939   0.7539   0.8995   0.7376  -0.2144 
+ -2.1136  -6.4960   4.0091  -2.7287  -2.8520   0.0889   4.2865   1.1559   1.4489   2.3747  -0.2811  -1.6675  -2.1043   2.4825   1.5983   3.0151   1.4924   1.4598   1.4466  -6.6156 
+  0.3044   0.5145   0.8314  -0.5726  -1.4732   0.5522   1.0454   0.7132  -0.3595   0.4703   4.9451   2.9593   3.4319  -1.7835  -2.7963  -3.6604  -2.7125   1.2113  -5.0055   1.3846 
+  2.3458   3.2640   1.8110   0.4827  -1.6195   1.9882   1.8256   3.5857   4.1301   1.6235  -5.1588  -3.8052  -1.7214  -1.0231   1.3522  -0.3858  -5.6155  -1.3895  -1.6421  -0.0480 
+  3.7883   2.2512   0.5915   3.6595   3.6582   1.2917  -2.0747   3.0623  -4.8462  -9.6783  -4.7828  -4.1622  -5.2776  -1.2559   2.3471   0.9386   6.0401   4.8334  -1.7435   1.3593 
+ -0.5609  -1.1658  -2.4817  -6.5550  -4.6100  -0.2509   0.7628  -0.8368   3.8495   3.9220   3.0356   2.0951   1.5781   3.7313   2.8834  -1.2291  -3.4270   1.5639   1.6072  -3.9116 
+ -1.4268   0.2383   2.3216   0.1248   2.0796   1.5987   0.8138  -0.2165  -2.9254  -1.2364   4.4075  -3.3005  -5.5475   2.3771   2.6523   1.5551   2.5380   1.7514  -3.2529  -4.5520 
+ -0.7746   0.9904   0.2665   0.8152   1.7416  -1.7222  -3.8193   0.6115   3.8698  -1.5065  -1.1919  -1.2590  -0.9540   1.8722  -0.1520  -4.1283  -0.5510   0.1951   0.7420   4.9546 
+ -4.9471  -2.6326  -0.7296  -2.9661   3.2611   5.2949   1.3584  -0.3484   0.0238  -0.5367   1.0370  -2.4283  -1.4686   5.4446   2.1704  -0.2969  -1.9436   4.7301   0.0591  -5.0816 
+  0.8281  -1.2416  -3.3762  -3.9320  -1.3993  -3.0591  -0.9292   2.5927   2.1047   2.4478   0.5704   1.2666   0.5289  -0.2372   1.2696   3.8278   3.1348   1.0903  -4.3525  -1.1346 
+ -0.7430  -0.7480  -1.2610  -0.7625   1.0816   1.6556   1.2019   2.2812   3.2082   1.5688  -1.3094  -2.0639  -2.5822  -2.2528  -1.3400  -1.6246   0.6375   2.8900   1.4778  -1.3150 
+  0.8081  -1.3233   1.3342  -0.4629   2.2543  -1.7177   1.7285   2.2425  -4.4738   0.6367   1.5497  -1.2988   0.3335  -1.1590   0.1744  -4.2648   5.1183   0.3072  -2.6556   0.8684 
+  4.0404   1.9094  -0.2474  -1.1600  -0.9167  -2.2516   3.9300   2.7965   0.9719  -0.3105   2.6858  -1.8089  -6.0898  -5.0707   2.0812  -0.0971  -1.5043   0.0458  -1.0273   2.0234 
+  0.1375   0.2390   1.2366   1.5253   1.5536   1.1452  -3.3801  -3.1595  -2.7411   1.0175   6.4814   1.4661  -1.2521  -3.3744  -3.5432  -5.4270  -1.3071   4.3703   3.6696   1.3422 
+ -0.0191   0.4401  -0.0551   1.2610   4.9915   1.8859   4.2946   2.2533   1.2460  -0.3261  -1.8245   0.5397  -0.9620  -2.4208  -1.3984   1.3654  -2.3100  -4.0785  -1.5595  -3.3235 
+ -4.1713  -3.8609  -3.6233  -2.2953   0.4590  -0.2721  -0.1506  -1.7078   0.0356   1.5074   1.0712   0.7854   0.7858   0.0168  -0.8160   0.0810   0.5445   4.5197   7.1653  -0.0742 
+ -2.9674  -1.4650   1.0679   3.2208   3.0814  -0.6959  -0.9252   1.0871   0.1680  -0.9317  -0.6966  -1.1041   2.3656   1.0874  -0.7021  -0.5843  -5.9540  -1.0591   4.3651   0.6421 
+ -2.3881  -1.1722  -0.2878  -1.3100   0.1054   2.7187   3.1286   1.3950   2.5138   0.8551  -1.0485  -2.7991  -1.7081  -1.9009  -0.2092  -1.1297   5.4416   0.9634  -4.8359   1.6679 
+  0.3475   0.6761  -0.9160  -3.3303  -2.5114  -1.3053  -2.4606  -1.5909  -0.1066   1.2867   0.1087   0.6627  -0.9380  -2.1561  -4.1442   0.5530   3.6775   4.3771   4.5604   3.2095 
+  1.8172   1.9142   1.3748  -1.2576  -1.3958   0.4060  -0.4725  -1.2643   0.8079  -0.6725  -3.4257  -3.2969   2.8901  -0.0329   4.2131   0.8390  -2.3538  -2.2196   3.3371  -1.2078 
+  1.9496   3.6573   4.2326   1.1863   1.8389  -0.7982  -0.8176   0.9762  -2.1796  -2.4082   0.4600  -2.1099  -0.1300   5.8933  -3.2271   1.4122  -3.0287  -5.0286   0.1022  -1.9807 
+  0.7977   0.4131   0.7926   0.7439  -2.7150  -3.1860  -1.6061  -0.5456   3.5797   0.0724  -0.4993   0.4656  -0.7994  -0.5991   0.0862   3.6997  -0.5342  -0.3047   0.9064  -0.7678 
+  1.0025   0.1292   1.8299  -0.2181  -0.3367   2.6298  -1.6812  -0.7903   1.0473  -0.5336  -4.1833   2.6382   0.9480  -0.3031  -1.3062  -0.6706   1.4954   1.1070  -3.9483   1.1443 
+ -2.8220  -2.9373  -1.7368  -1.1113   0.7976   1.0210   2.2881   1.7823  -1.6829  -2.1388  -0.0636   0.6047   1.3691   0.5354  -2.8472   1.9900  -0.2414  -1.8409   2.3664   4.6674 
+  0.8100   0.5306   3.2216   2.7904   2.3222  -0.0940  -1.2977   0.6699  -0.3153  -2.0729  -0.4524   0.1611   0.0422  -0.9458  -1.6284  -1.0590   0.4113  -0.2203  -0.7025  -2.1711 
+  0.6469   2.9521  -0.5269  -2.8396  -2.8290  -0.4167  -2.6035  -1.8694  -1.2710  -1.1950  -0.6111  -1.1719  -0.0843   4.1129   3.9912  -0.9572  -5.8704   3.6319   4.0418   2.8690 
+ -1.7675   0.6361   2.5132   2.0830   1.8929  -1.5061  -3.5844  -4.2969  -2.8299  -0.6870   0.8308   1.3968   0.3529   4.0998  -1.6161   1.3306   0.5600  -0.5129  -1.6573   2.7621 
+ -4.0964  -1.5173   1.2551   0.2978   1.5682   0.3497  -1.4315  -2.0554  -0.5756   2.5392   0.7900   3.4286  -2.9558  -1.7034  -0.8459   1.0513   5.1871  -2.5294   1.2695  -0.0257 
+  0.0328  -1.2155  -1.2836  -0.9363  -1.2229  -1.6930  -1.8595   0.3399  -1.5276  -1.0107   6.4040  -1.9072   0.7733   0.6079   2.8719   3.0211   2.3070  -3.5448   0.3434  -0.5002 
+ -6.6638  -3.5679   2.7288   3.1465  -1.8044  -3.2026   0.3954   1.5738   0.6840  -0.5029   1.1915  -2.4277  -2.8920  -0.4612   0.5352   2.0495   4.9107   0.7993   0.1809   3.3270 
+ -7.7693  -2.7271  -0.5302  -1.6862  -2.6750  -4.1941   6.2224   4.1406   1.2187  -0.8566   3.2170   2.7593   3.3324  -2.3093  -1.4924   1.2643  -2.9807   2.3328   4.6730  -1.9398 
+ -0.3214   0.7654   1.4453   1.0347   0.7854  -0.0281   0.6653   2.1756   2.5539   2.4886   2.8291  -2.3264  -5.6113  -4.1472  -2.1955  -0.1794  -0.8897  -2.9162   2.0658   1.8062 
+  0.0689  -0.0814   0.5156  -0.9104   1.9645   1.4890  -0.7622  -1.4287   1.4489   2.2731   1.0561   3.0605   2.5928  -3.3062  -2.8865  -3.6767  -3.9506  -2.1727  -0.4806   5.1867 
+ -2.7262  -0.4080  -7.2353   0.2532  -1.7494   4.8406   2.4161  -8.2402  -0.3311   1.0612   3.3760  -0.5373   3.2052   3.7144  -2.9286  10.7765   4.9188  -8.1638  -0.8809  -1.3612 
+  3.8706   1.5102   0.3780  -7.4590  -0.9006   2.4899   2.4680  -2.4184  -1.4186   0.2908   2.1056   2.4328   4.2260  -3.9887  -6.7913  -1.0651   2.4289   0.5874   4.8024  -3.5488 
+ -1.2691  -4.1749  -2.7407   1.4930   1.4665  -0.9212  -1.4630  -5.1747  -2.2251   0.8474   0.8540   6.6525   0.1651  -0.5706  -0.3287   3.1547  -1.4600   0.8291   2.5923   2.2733 
+  3.8347   2.4921   1.8361   2.4264   0.2839  -2.7167   0.2831  -0.5469  -0.6398   0.3108   1.0194  -2.1389  -0.8456  -4.7666  -2.5049   1.2075  -5.6326   1.3761   3.1197   1.6020 
+ -3.7739  -1.8529   0.6063  -0.8541  -1.6370   3.6233   0.8975   1.9643   3.5106  -0.3623  -2.4744  -0.7625  -0.7853  -1.5705   0.2237  -0.6207   0.0761  -0.4742   1.5632   2.7029 
+  1.1570   0.8704   1.6827   1.2654  -0.5848  -2.6900  -2.6615  -0.9589  -1.6641  -2.7103  -1.4381  -0.4901   1.8045  -1.5216  -1.1394   5.0021   4.1235   1.5550  -3.7877   2.1859 
+  2.5420   1.6423   0.7395   0.8846   0.9016   2.7752   3.3824   2.5574   0.4625  -2.0442  -1.8686  -0.1860  -1.7933  -5.0038  -3.5773  -1.2917  -2.0519  -1.8556   1.0146   2.7701 
+ -4.4081  -3.4569  -0.8021   0.2773   2.5574   2.3862   1.3118   0.1408   0.6688   1.9053  -1.5497  -0.5855   1.2457  -0.5521   0.9630  -2.2470  -2.8924  -3.7430   6.1844   2.5961 
+  0.4138  -4.3685  -4.3743   3.3166   1.9814  -1.9703  -1.1246  -1.8788   1.8555   2.5293  -0.6354   0.3032   3.9855   0.4439  -1.3412  -2.6733   1.5434   2.8406  -1.3900   0.5430 
+ -0.9949   0.7752   0.5153  -0.3382   0.7590  -0.3806   0.6362  -0.0446   0.6992  -2.3407  -2.2180  -0.8794   1.9075   1.9883   2.6403   1.4665   1.1384   1.9497  -0.4373  -6.8420 
+ -0.3690   1.5979   3.6520   2.5947   0.9915  -0.4587  -1.5761  -1.3889  -0.8595  -0.0002   0.3336   2.0392   1.9215  -1.5962  -2.1409  -2.1868  -2.0225  -6.9604   4.1862   2.2427 
+  0.7081   1.2472   1.2274  -0.7827  -1.3963   0.1531   1.0164   1.1220   1.4236   4.7449   4.1970  -1.6566   1.4602  -0.4324  -5.0812  -4.6776  -3.2034   0.2020  -0.8325   0.5609 
+ -0.8996  -1.1981  -0.4982  -3.3678  -3.1656  -0.4840  -1.6889   1.4162   1.8691   1.8944   0.6984   2.1971   0.7659  -0.3399  -1.0540  -1.9648   4.8986   2.2357  -0.4350  -0.8795 
+ -3.0303  -1.1024  -3.6351   1.8563   2.2581   0.9526  -1.3180   1.0520   0.9676   1.4472  -0.2536   1.6459   0.5539   2.7964  -2.3045   3.1405  -0.8848  -0.5008  -4.0553   0.4143 
+ -2.0566   0.3509   1.5804  -0.1468  -1.2009  -5.1236  -1.6316  -0.6083  -0.2262  -3.8727  -1.4106   4.1461   2.8353   5.5841   2.0344  -1.3445  -0.2669   1.6597   0.4425  -0.7448 
+  0.4237   5.5027   3.4466  -0.9733   1.1101   0.3187   0.4016  -0.8934  -4.1773   1.2529  -1.0141   1.7716  -1.4207   2.0071  -6.7629  -1.4260  -0.8769  -1.9766   2.0620   1.2241 
+  0.5250   0.4342  -1.3517  -2.8754  -3.0586   0.6098   2.2679   1.4929   1.4608   3.1011   1.5060  -4.8013  -7.5268  -0.6504  -0.5030   2.7780   2.8557   1.0462   3.4571  -0.7675 
+  3.5730   1.8714  -0.1581  -1.7722  -0.3433  -2.7056  -3.0806  -1.9100  -3.1355   1.0548  -1.9906   0.4699   0.0873   2.5566  -0.1726  -0.8702   2.1464   4.3968   5.0995  -5.1171 
+ -0.6968  -1.4896  -0.0495   0.8149   1.4216  -0.0327  -1.7535  -2.2313  -0.3210   1.9568   4.8784  -1.9324  -1.8058  -2.6431  -3.7316   0.3685   1.1306   4.9893  -0.2577   1.3848 
+ -1.4341  -1.1497  -1.8056   0.1413   2.5710   2.9390   0.7055  -0.4196  -0.2614   0.1608  -0.6195  -0.3637   4.1643   0.3576   0.0984   2.2749   0.4728  -7.3150  -0.1921  -0.3248 
+ -4.2895  -7.0396  -4.8802  -1.5844   1.4442   1.8886   0.5829   0.1608  -2.6352  -1.0632   0.4985   3.2097   6.3270   9.0622   8.0546  -0.4311   2.1200  -2.0642  -2.9293  -6.4319 
+ -2.8918  -0.9105  -1.1049  -1.3358   0.0333  -0.4429   1.1140   3.2177  -0.2479  -0.9423   2.0518  -3.4204  -3.3752  -1.5080   4.5184   3.5104   0.8370   0.3279   4.1906  -3.6215 
+  1.1012   2.8300   4.9338   4.9135  -1.4413  -4.6933  -2.9852  -2.2104  -2.0709  -0.2446  -1.7323   0.4460  -0.3491   0.7293   1.2549   1.5520  -1.6591  -0.0263  -1.3091   0.9607 
+ -3.8105  -2.2705  -0.4801   0.0030  -1.0835  -0.8967  -1.8480   4.3428   2.2775   1.1261   1.5948   4.4091   3.5564  -2.1928  -2.8051  -1.2385  -1.6399  -0.9968   0.5731   1.3796 
+  4.5581   4.2833   0.3675  -0.5438   1.9400   3.0816   0.3261  -0.8096  -2.6679  -2.1086  -0.8131  -4.9186  -3.6340   5.7405   0.0185   0.6308   2.5276  -4.0355  -1.8846  -2.0583 
+ -1.2863  -0.2640  -0.1222   1.8197  -0.8215  -1.4173   6.3047  -1.3136   2.0735  -0.1627   3.0262   1.5599  -2.3044  -2.9292  -2.1284  -0.0060  -0.2974  -0.4468   0.2977  -1.5818 
+ -0.3043  -4.9833  -4.4641   1.6692   5.7638   4.6547   3.7525  -0.9610  -3.9550  -2.2488   0.7885   4.2621   3.6322   2.1375  -6.9698   1.9153   2.5541  -3.4886  -0.8469  -2.9081 
+  1.6869  -2.2603  -5.3537  -1.9240  -2.3796   2.8412   5.8922  -3.3838   0.7866   3.3273   0.7220   4.1493  -2.8075   1.2195  -4.1220   2.7912   5.5751  -0.9361  -3.7960  -2.0281 
+  1.8743   1.5687   0.9347  -0.0119   5.1974  -0.9505  -1.5819  -0.0387  -0.2355   2.4835  -2.7180  -2.1816  -1.0347  -1.5606  -1.4552   0.4355  -1.6713  -3.1551  -0.2146   4.3156 
+ -0.5064   0.6473   1.6157   0.4031  -0.7786   0.4664   2.3609  -0.8533  -2.7426   0.0584   3.6047  -1.3728   0.0256  -2.0089   0.7575  -3.1106  -1.7839   0.9710   1.5709   0.6757 
+ -0.1854  -0.4792   0.2327   0.5721   1.3762   0.9344   1.6367   0.2158   0.6455   0.9744  -3.1471  -5.2734  -4.3577   3.1646   3.1365   2.2803   1.2303  -1.9960  -1.5643   0.6037 
+  1.5540   2.1016   2.3825   0.8004  -2.0847  -2.7548  -1.5073   0.1971  -0.2707  -0.7690  -1.8324  -0.6385  -4.5361  -6.8801   5.4599   2.6660   1.1252   2.2850   1.3862   1.3159 
+ -2.3092   8.5984   0.5061  -0.6741  -2.4670   3.2934  -0.6680   2.0327   0.6889  -1.8602  -0.9325  -1.2001  -4.3458  -2.5628   0.6948  -1.1889   0.4479   2.5950   1.2931  -1.9416 
+  0.8421   1.5717   0.5751   0.5951   0.4783  -2.2142   0.3553   6.0828   3.0287  -2.3343  -3.2264  -0.7759  -2.0090  -0.3873  -2.4778   0.6768  -3.4990  -0.8957   4.2903  -0.6766 
+ -0.6942   8.6603  -5.4134  -0.8727  -0.3504  -3.3092  -0.5586  -0.2913   2.8905  -3.0583  -2.9724  -1.7470   3.3250  -1.1022  -4.4193   7.6704   0.5149  -0.7173  -3.6000   6.0453 
+  0.6802   1.0947   1.2451   3.8611   4.5266   1.8951   0.7625   6.2260   2.5223   4.8966   1.8380  -0.3753   1.3861  -7.5361  -6.8810  -3.7307  -4.9193  -2.5727  -4.5778  -0.3414 
+ -1.4648  -1.9631  -1.4302   3.2813   2.7021  -1.3306  -3.5822  -3.4123  -2.6251  -2.5540  -2.9830   1.7868   1.1612   1.7944   0.6471   3.7619   3.5844  -0.4360   2.9666   0.0957 
+ -2.6065  -0.4815   3.7667   3.2609   1.4317   5.8806   0.0973  -3.3441  -3.2874  -4.9485  -1.6589   0.7537   0.3424   0.9215   3.8135  -4.2041  -1.8751  -0.8917   1.0067   2.0227 
+  4.0705  -1.6316  -3.7042  -1.3612   1.3654   1.6949  -0.0461  -0.4280   2.9316   0.2615  -3.3312   0.4341   1.2323  -0.8543  -0.8620  -4.8579  -6.1758   3.1382   4.9340   3.1899 
+ -4.1097  -4.1313  -2.7947  -1.2657  -0.6757   0.0158  -0.2664  -0.7288  -2.8256  -1.9407   0.4965   2.0938   4.2596   1.7443   2.0920   3.1468   3.6217   1.9383   0.0884  -0.7586 
+ -0.5474   3.7117   4.4423  -1.1991  -3.2034   0.2008  -1.1999  -0.3645  -0.3658  -1.5068   4.3945  -0.5362  -1.4209  -0.9138  -0.0750  -0.9590   3.3133   2.7513  -7.0608   0.5385 
+ -0.2792   1.0180   0.1758   4.6409   0.9990   0.8572  -2.2212  -4.3593   1.0210   5.0992   3.1964   1.4429  -1.7425  -0.9214  -2.3245  -1.3975  -6.8773   2.8027  -1.1862   0.0560 
+  1.7064   0.3215  -0.2518   0.0527  -2.5377  -4.4163  -3.0416  -0.1822  -1.1887  -2.9410   0.6761   3.4948   1.6101   1.2626   0.2612   5.6220  -3.9114  -1.0915   4.1888   0.3661 
+ -1.7866  -1.1389  -0.0309  -0.9349   0.3853   1.9195   0.2339   0.3886   0.9745   1.4208   2.5313   4.3943  -4.6360  -2.5445  -2.1898  -2.5330  -0.3527   4.7621   0.5928  -1.4558 
+  7.8057  -3.8468   0.8827   0.8768  -4.7631  -5.1731   0.0664   5.3199  -1.7890  -4.3428   1.9966   2.9221  -4.5512   5.1760   0.5820  -0.2561  -0.2887   0.6505  -0.8654  -0.4024 
+ -2.5780  -0.0834   0.1440  -1.6096  -4.1370  -4.8240  -1.6968   2.0832   4.4015   2.3414   0.0326  -1.7738   3.0088   2.5338   2.2405   0.7822  -3.4270   2.3235   0.3274  -0.0892 
+  2.1843   2.5930   1.3745   1.7373   2.8715   2.7285  -1.1274  -0.1783   0.9497   1.0004  -0.2974  -0.2919   0.6463   0.2228  -1.5085  -5.8708  -3.6910  -0.8536  -2.5539   0.0647 
+ -1.6643  -0.8616   0.2098   2.2486   4.6647   3.8540   2.3834   1.3656  -0.2611  -0.7523  -0.2703   2.8630   1.1570  -1.6263  -4.3844  -3.5346  -0.0484  -0.8649  -4.9645   0.4867 
+  0.6824   1.0939   0.6691   0.3291  -0.2396  -0.9714  -0.9487   0.4056  -0.8422  -1.0662  -0.8121  -1.8756   1.8363   1.0681   3.7568   2.7493  -2.2790   1.4171  -4.9986   0.0258 
+ -2.0461  -1.9677  -1.8134  -2.6831  -3.0621  -1.6874   2.2873   0.6491   1.7878   1.1808   1.5028  -1.1540  -1.2923  -0.0603  -3.5107   6.4917   4.0814   1.4288   0.0396  -0.1721 
+  1.7926   0.6400   0.0107  -3.4114  12.2384  -4.2391  -4.1672  -5.5139  -1.6966   5.3015  -0.9447  -4.0014   3.1093   5.2076   5.6201   2.3962  -5.3615  -1.8057  -0.2628  -4.9121 
+  1.2301  -0.2653   0.0535  -2.1294  -3.7763  -2.5405  -1.3165   1.3892   1.1754   1.8095   2.3931  -0.5310  -0.8291   0.5926  -0.2725  -7.2218   1.8619   3.8534   3.4226   1.1011 
+ -4.1789  -3.5276  -0.8324  -0.4176  -2.4000   0.0369   0.9853   5.4189  -1.8625   4.5416  -0.0534  -2.2531  -1.8390   3.0263   1.3992  -0.9141  -0.2291   0.6856   2.4454  -0.0313 
+ -6.4975  -4.6128  -3.3675  -4.8986  -0.8354   2.3584  -0.6088   4.1352   0.6068   0.7211   0.2750  -2.0557   0.4476   2.7831   4.6078  -0.4014   5.9849   2.1061   1.2312  -1.9795 
+  1.3230   1.1384   1.2773   1.7150  -0.7509  -3.8269  -1.1290  -0.1851  -3.0673   2.4551  -1.8006  -0.5768   2.5367  -0.4358   1.0236   2.8956   4.5161  -0.4242  -3.2309  -3.4534 
+ -0.3567   2.4123   4.0459   3.3988   2.0862  -2.1774  -5.1260  -1.0930  -2.2588  -0.1938   0.5021  -0.2723   1.0175  -2.6722   0.0196  -1.3546  -1.6702   0.8080   0.6509   2.2336 
+ -3.1316  -2.5501  -0.7668   1.9764   1.8647  -0.0801   0.9053   0.9563  -1.0947   0.3992  -1.9982   2.2428   2.0122  -5.4193  -2.6261  -0.7274   0.7121   1.7109   3.9486   1.6660 
+ -7.9949   4.0953   3.7255  -1.4546   8.0933   1.7853  -4.2627   4.4208   9.6075  -2.0281  -0.5418  -3.5660  -1.9219  -6.8006  -1.4426  -1.8720   6.0536  -6.8174   0.7937   0.1276 
+ -1.9787  -1.0115   0.4548  -0.6009   1.0489  -0.3883  -3.8168   3.5539   1.8044  -0.8020   2.2377   4.0130   2.5264   2.9341   2.9402   3.1940 -12.1756  -4.5827   0.7140  -0.0649 
+ -2.6937  -0.9969   0.6136  -0.2092   0.1112   0.1733   0.0276   0.6804  -4.1810   0.4835   3.1126  -0.8365  -1.6005   3.1133  -1.3297  -0.4657   2.8302   2.7130  -2.7204   1.1750 
+ -4.2305  -1.0868   0.5304  -0.1415  -1.2124  -0.8981  -0.8790  -0.8763  -0.9777   1.0148   4.1145   2.1714   1.2310  -1.6938  -1.4429   1.2355   6.6877   0.2382  -3.2655  -0.5189 
+ -2.1503  -3.4325  -3.4567  -1.0918   0.5993   0.3527   0.3437   0.2288   0.7821   1.0173   2.2607  -0.9887  -0.3595   4.4457   3.7070   1.5475  -3.7173   0.7682  -0.5101  -0.3462 
+ -3.7019  -3.2897  -0.3993   1.1225   4.7873   3.2500  -1.8347  -2.0699   0.0727   1.2966  -0.1512   1.4478  -2.4263  -0.3987  -2.4159  -3.3225   2.8445   0.7735   0.8954   3.5197 
+  0.0807  -1.1966  -2.9464   0.8465   1.6234   1.1215   1.2824   3.7187   2.3234  -3.7329  -7.3924  -3.2192  -4.4371  -4.8564   3.1927   2.3654   4.5154  -1.0330   4.4531   3.2910 
+  0.0329   2.1961   1.8627   0.5090  -2.3566  -3.1635  -1.4865  -3.4766  -3.4834  -4.5095  -2.4040  -5.5450   7.4389   3.1752   2.6905   4.3345   1.8695  -0.0444  -0.0458   2.4056 
+ -4.2525  -4.2615  -2.8448  -1.4174  -1.4188  -1.0941   0.0321   2.7304   1.6246   3.7714   3.6887   2.3979   1.9374   0.7696  -7.0469   0.1811   3.9202   4.8839  -3.2038  -0.3977 
+ -0.4109  -0.9615  -1.1887  -1.3425  -1.0669  -2.7829  -2.9395   1.2890   1.6984  -0.5601   1.6775  -0.5469  -0.8102  -0.2298  -0.7565   0.3451   3.1792   2.2226   4.5535  -1.3689 
+ -5.7264  -3.6531  -1.3521   0.1463   1.7110   3.1890   0.7838  -1.0176  -0.2195   1.4384   0.0207  -0.4968  -1.0491   0.1749   1.0739   2.0378   1.3580   1.2360   0.4429  -0.0980 
+  0.7773  -0.8979  -1.2165  -1.9337  -2.9157  -4.0101  -0.3148  -4.6460  -4.2945   4.1770   5.5969   1.4549   3.5448   1.4079  -0.8343  -3.2017   5.5239   2.2268  -0.3838  -0.0607 
+ -0.6985  -0.6307   2.4635  -0.5381  -0.2883   3.4018   2.1088   2.9180  -0.5123  -0.9613   0.0579  -4.3385  -3.8027   1.0743   5.0578  -1.8280  -2.2439  -4.7171   0.9386   2.5388 
+ -4.5218   0.1558   2.8380   2.3948  -1.9436   0.6339  -0.7954   1.9788   1.5836   1.1696  -4.5526  -0.5640   1.4447   7.0584  -6.8023  -4.5393  -6.0449  -0.5031   6.1354   4.8739 
+  0.3624  -1.2047  -2.0776  -1.5816  -0.7523  -0.4259   1.9866  -0.1702  -0.4710  -1.9514  -1.5113  -0.2099   2.7070   3.8409   4.1635  -1.6517   0.8031   3.1180  -4.9637  -0.0100 
+  3.3248   2.1375   1.3785   0.2103   3.0519   1.4244   0.2968  -0.3016  -1.2728   0.9142   0.2763   0.9396   2.3345  -1.6742  -3.9431  -3.4421  -2.5066  -1.7463   1.1359  -2.5381 
+  7.3832   7.8862  -6.4414  -8.9767   0.1372  -3.3099   3.3247  -2.2516  -2.6663   1.5419   7.2572  -0.6762  -1.4552   3.0048   6.9210  -8.5959  -2.6649   2.5301  -0.7893  -2.1588 
+  1.3303   0.1631  -2.4438  -1.2379   0.9953   2.7203   1.9038   1.2786   0.3887   2.8669   0.3680  -0.1846   5.6338   2.1238  -1.0482  -5.2051  -1.0787  -7.2281  -1.5184   0.1722 
+  0.1645  -0.9895  -2.0311  -3.1149  -3.2980  -2.1249   2.0221   2.1048  -0.3058  -1.0676  -2.5289  -1.4215  -1.7517   2.9140   4.1244  -0.6494   2.6877   3.2611   2.5839  -0.5792 
+ -0.4639  -1.9119  -0.6903   1.0816   1.7980   1.1866   0.4220   1.5316   0.8944  -2.9810   5.6782   3.5367  -0.9955   2.4778  -1.9477  -3.1693  -0.0340  -1.9442  -1.8186  -2.6506 
+ -3.9601  -3.1838  -1.3333  -0.9936   0.4708   1.8640   0.2776  -3.5639  -1.8523   3.8979   6.3274   1.9935   2.4867  -0.2835  -0.1329  -0.9778   1.4936   2.4315   0.5084  -5.4702 
+ -1.9007  -8.9624   0.7258  -2.6244   1.8683   0.7413   8.1690  -2.3570  -4.2143  -5.3821   5.3979  -0.3396  -0.0209   2.4866  -1.7903   8.5769  -2.6396  -4.5135   0.4288   6.3503 
+  2.3682   1.2735   1.0581   0.7198  -1.3884  -1.1783   2.7862  -0.3150  -4.4216   1.0457   0.8020   0.2322  -1.8255   0.9933   1.5522   4.2681  -3.4105  -1.8681  -3.1691   0.4773 
+  0.1022   3.5273   4.7298   1.5753  -3.6041  -2.4060   0.8414   1.2204   1.0785   1.4517   0.9533   1.0682  -0.0095  -1.2482  -3.7150  -1.4924   0.0586   0.2151  -3.5086  -0.8381 
+  2.6097   1.3046   0.1797  -0.8433  -0.8002  -0.6737  -0.7817  -0.0181  -1.8564  -0.0021   1.7429   2.1363   2.4019   0.8520  -1.2013  -2.3776   0.1614  -1.6535   0.2922  -1.4730 
+ -1.1555  -1.9989  -3.7971  -3.5419  -1.7702   5.6208   1.6756  -3.4769  -2.2174  -0.5921  -2.9465   2.4449   3.2181   2.5732   0.5741   1.4008  -1.6104   2.6683   4.0017  -1.0706 
+  2.6808   2.4971   2.2595   2.6039   2.5012   2.7248   0.3061  -0.5761  -0.0415  -2.4607  -1.2162  -0.0800  -2.7145  -3.3777   0.3468   1.3821  -2.9010  -0.5334  -2.3262  -1.0750 
+ -1.4573  -0.7869   0.2356  -0.1795  -1.7997  -2.4756  -0.7083  -1.2917  -0.2409   1.8121   2.3854  -0.0780  -2.6742   0.8926   3.1169   2.4329  -3.2335   1.5184   1.6752   0.8566 
+  1.3578   1.5299   1.0786  -1.5960  -3.3648  -1.6673   1.3592   5.7139  -0.3364  -0.8154  -1.0911   0.3285   1.2167  -6.5169   3.5759   0.3841  -3.4189   2.2520  -0.3564   0.3665 
+ -3.9427  -4.1692  -3.9599  -2.7914  -2.7852   0.8501   2.1268   3.1929   2.9997   0.9798   3.7115   2.7044   0.8023  -1.3597  -0.1213   1.8505   0.8537   2.3570   0.4425  -3.7419 
+  1.1259   1.7278   1.7181   1.0824   0.9378   2.2855  -0.4426  -2.0998   0.2868  -2.3258  -2.4774  -3.5030  -2.1920  -0.0403   0.0689  -2.1823  -1.7516   0.3348   2.6371   4.8097 
+  2.6282   3.1949   1.4763  -1.8168  -2.3026  -0.1157  -0.0177   1.6877   0.8500   0.1002  -0.5211   1.2286   1.5164  -0.6411  -0.9348  -3.1872   0.1863  -3.1762  -3.7899   3.6345 
+  0.6239   1.6179   1.2014   0.2608  -1.9920   4.7736   2.9884  -1.6687  -1.5700  -3.2904   2.3265   0.1217  -0.6529   1.1537  -1.3430  -3.2660  -0.7427  -0.3946  -0.8553   0.7078 
+ -2.5785   3.3274   0.7827  -1.1641   0.3099   2.0930  -3.8923  -2.1233  -0.2174  -1.0352   2.3827   3.2008  -1.3061  -1.3553   2.0138  -4.8137   2.2926  -0.4492   0.2262   2.3061 
+  0.7030  -0.6796   0.6702   1.2330   0.3286  -1.1249  -0.2281   0.9008  -0.4257   1.5252   0.1413   3.8708  -2.7125  -0.1048  -1.3046  -2.6469  -1.7645  -0.4236   2.6448  -0.6022 
+ -2.0396   0.9147   3.7884   2.4844  -0.2561  -2.4529   1.8969  -0.1479   0.6950  -1.2549  -4.9008  -1.2459   0.9313   0.6906   5.2636  -1.1277  -0.2394  -2.2895  -2.5856   1.8753 
+  1.6780  -1.6532  -2.7599  -2.2450   0.5197  -1.6003   4.4426   1.0934  -0.3109   0.9191  -3.4242   1.3304  -1.5208  -0.9853  -0.2434   3.9418   0.4425  -2.2543   4.6335  -2.0037 
+  2.2658  -0.6139  -1.3935  -0.0563  -2.9550  -1.9056   3.4601  -0.3817  -1.6475  -0.2910  -0.5503   1.7727   0.0114   2.6384   2.8574   0.5346  -5.4829  -2.6161   0.9580   3.3952 
+ -2.9553   0.0039   3.9564   2.2087  -0.9348  -1.5953  -1.3780   0.1552  -2.1548   0.7917   1.8242   1.6997  -1.8826  -0.8677  -0.7876  -0.2152   2.3842   2.1467   1.7116  -4.1110 
+  0.7023   1.9303   1.0064   0.0165   5.4286  -1.1464  -1.0459  -2.0088  -1.2634  -2.1806  -0.6159   0.3372   3.4050  -1.1188  -2.8596  -2.3910  -0.5550   5.4226  -1.0697  -1.9937 
+ -0.8683   0.0341   1.1306  -1.3868  -1.9833   2.9612  -0.7025   0.9705  -3.1777   4.1388   0.7353   0.3664   2.0843   0.2998  -0.4050  -1.1895   3.2137  -5.0324   1.1351  -2.3244 
+ -1.0092   0.5101   2.3070   2.1852   1.5304  -1.7001   1.6095  -1.4570  -3.9762  -1.6422  -0.2532   1.3474   0.8974   0.9819  -2.2295   4.7058  -2.0380   3.1038  -2.5420  -2.3311 
+  1.9713   1.0803  -1.0686  -1.2321   0.3041  -0.5899  -1.6032  -0.6543  -2.1903  -2.1676   0.3844   0.2905  -0.5787  -1.1285  -3.3703  -0.5637   0.3705   2.2696   8.3763   0.1004 
+ -2.3313   3.6108  -3.7738   2.3534  -6.3897   3.9802   2.8098   6.2413   2.5170   5.1260   2.4541  -1.7202  -4.9921  -5.7179  -3.3204   5.3271   2.0124  -5.7657   0.7907  -3.2116 
+  0.3230   1.0311   1.3660   0.9706   2.0785   2.0724  -0.0151  -0.8301  -1.1195  -2.8044  -0.9819   0.0417   0.0944  -1.2077  -2.2323   4.1593   1.4207  -2.7654  -0.5102  -1.0909 
+  1.0182   0.5812   0.3232   1.7040   1.6371   0.0882   0.7883   2.0623  -2.4549  -1.7632  -0.0828   0.1245  -1.0882  -0.0487  -2.0254  -0.8118  -5.9132   2.5533   0.4880   2.8199 
+ -2.1755  -1.4110   0.7926   3.1903   3.2045   1.4005   2.2246   0.4995   1.4795   1.0003   1.4155  -1.8108  -1.7649  -2.0289  -4.9177   1.9399   0.4644  -0.6846  -2.6827  -0.1356 
+ -2.3372  -0.8774   1.8295   2.5713   0.4237  -1.6200   0.7250   1.2049  -2.5557  -1.7837  -2.0535   1.8608   2.0142   1.1559   0.4140  -2.2055   2.6316  -1.0207  -0.4407   0.0634 
+ -6.4760   2.3566   6.2881   1.1780   2.2768   0.5492   3.6691   1.5956   1.5393   0.8045  -2.4474  -1.1396  -3.0192  -2.8013   2.1788   0.9584  -4.0593  -1.3318  -0.6033  -1.5164 
+ -0.2224   3.1469   4.1918  -1.5853  -2.9401   2.4424  -2.0556  -1.6902   1.4657  -1.4987  -4.5783  -3.9175   1.8499   2.5001  -2.9926  -3.1367   4.3814   2.8761  -0.3135   2.0766 
+  0.2838   0.7448   1.5373   1.7127   1.9184   1.9954   1.4552   0.6636  -0.0775  -1.4076  -2.7023  -2.4765  -6.0615  -4.2297  -2.8214   4.4402   0.5975   1.2302   2.2798   0.9178 
+  0.1873   0.8058   1.4948   0.4584  -0.6762  -2.1053  -0.4098  -0.9510  -0.4347  -0.3909  -1.0508  -2.5837  -1.0389  -4.2899  -4.0647   3.8453   2.2675   2.8481   4.5950   1.4936 
+  6.4165   4.7690   2.1643  -0.5306  -1.7418  -1.1821   0.4655   2.4797  -1.0005  -2.7835   0.6462   1.0540   0.1648  -0.2195  -1.2133  -1.6876  -0.2896  -1.1843  -4.2375  -2.0895 
+  0.6591  -2.4247  -3.5305  -2.0684   0.7993   0.5286  -1.0223  -0.9537   0.6266   1.4075   1.4620   1.6652   1.3324  -0.3799   1.6047  -0.4030  -1.4183  -0.7574   3.5079  -0.6351 
+ -0.7402  -0.5022  -0.0104  -0.1501   0.0126  -0.8303  -0.6338   0.0643   0.7573   4.3586   2.2234  -0.7379   3.8453   0.8151   2.8221  -1.4249  -1.4011  -3.5524  -6.4818   1.5666 
+  1.2970   2.6835   1.2613  -1.8292  -0.9390  -1.6773  -1.9287   1.2477   1.3854  -1.9138  -1.0744   1.6338  -4.8418  -0.5580  -1.2900   5.2745  -2.7458   2.6939  -0.9625   2.2835 
+  1.8861   3.1363   4.0321   1.7435   0.5233  -0.7855   2.0137   0.8065   1.2174  -4.0074   0.5860  -1.0339  -6.4815  -6.1251   1.1641  -3.9644  -6.3895   7.8222   2.0846   1.7715 
+  3.9399   2.2907   1.6049   0.7588  -0.5727  -0.4203   1.1669   0.6185  -0.3417   1.2484   1.5946   1.7091  -1.8086  -4.7596  -2.8399  -3.9325  -2.0296  -0.6780  -0.7509   3.2019 
+ -0.3222   0.6190   2.2698   6.3269   5.8198   2.6992   0.0601  -0.5335  -1.7361  -3.6667   0.2231  -2.3194  -2.0166   2.4960   0.1420  -3.4765  -2.9842  -0.3195  -1.1974  -2.0840 
+  1.2403  -2.3646  -2.0313   0.7252   3.2474   2.8194   3.1981   0.9009   1.1286  -0.9170  -2.4531  -2.4020   1.6229   2.3317  -1.4971   0.7586  -3.2903  -2.1223  -1.2864   0.3911 
+  2.1547  -0.4814  -1.6208  -0.2568   3.7660   2.5927  -0.5335   0.5221   2.1027  -1.7193  -2.1878  -1.5973   0.4487  -3.0208  -3.0695  -0.2839   1.2100  -4.2182   4.8800   1.3123 
+ -0.8216   0.0172   1.0117   1.8195   2.2767   0.0322  -4.7072  -3.7244   0.2876   1.2946  -1.1268  -2.0514  -0.3229   1.5642   2.8282   1.4525  -0.2405   0.3745  -0.8299   0.8658 
+ -0.5885  -0.7711  -0.1566   0.2456  -1.1305  -2.1400  -1.5832  -2.7023   2.6573   2.8982  -1.9439  -1.4435   3.2616   3.0544  -1.0646  -0.2393   0.2808  -0.6774  -3.3509   5.3938 
+ -2.1609   4.7541   2.6519   2.9104  -0.9771  -3.4464   1.3102   4.9024   3.0997   0.1198  -0.6878  -5.0516  -2.6241  -0.1390   0.3260  -3.7625  -4.6033   5.7644  -2.7192   0.3330 
+ -0.0774   0.0212   1.7356   2.6966   3.8703  -1.2640  -2.2040  -3.8688  -2.8745  -0.3830  -1.2433   2.7247   1.1808   0.5913   3.3839  -2.9426   0.1962  -0.6047  -3.1975   2.2593 
+ -1.7694  -0.8337  -1.4857   1.6357   3.0084   1.4757   0.7496   0.4982  -0.8638   1.0294   3.8151   2.5480  -0.4944  -5.1598  -4.1575   1.6819  -0.9028  -3.0629   2.9081  -0.6201 
+ -4.1737  -1.1372   0.4218  -0.3980  -0.2873  -2.0904  -1.4241   1.1799   4.8192   5.5695   2.1240  -1.9634  -0.1503  -0.2208  -2.6623  -1.2140   1.5287   0.1773  -0.4832   0.3844 
+  1.1759   3.6352   3.0816  -1.1382  -0.8341  -1.2549   1.7627  -0.2610  -1.7582  -4.6767  -1.9887   0.8806  -0.2903  -2.9331  -3.3697   0.3291  -2.5313   6.3991   2.6926   1.0793 
+  3.1054   0.5446  -2.7707  -3.1154  -2.4354  -2.1091  -1.9215   1.5263  -0.5089  -2.1954  -3.0602  -1.7502   2.0283   3.0940   3.1639   6.0315   0.1168  -2.3219   2.2755   0.3024 
+  1.4017   0.2037  -0.1188   0.3630  -1.7809   1.2589  -0.0416   0.1426  -0.2900  -0.0669  -0.9365  -1.7637  -4.6543   4.5857   0.7173  -1.2893   0.7992   1.8632   0.4734  -0.8667 
+ -0.6645   0.3054  -0.1583   0.3900   0.1223   1.1996   4.2148   1.7843   2.7706   0.9297  -1.0663   1.2711  -0.1675  -0.5861  -2.5452  -2.9107   1.2640   0.2394  -4.6672  -1.7254 
+  1.3908   0.5115  -0.8577   0.3878   0.7710   1.2838  -1.2112  -1.2930  -1.9359  -2.3893  -2.5796   1.2692   3.1933  -0.2748   0.2489   3.4206  -5.3967  -3.2312   2.6326   4.0600 
+ -3.1151  -2.4768  -1.4409   0.0820  -0.0650   0.8542   2.7545   0.8481   2.7775   3.2925  -1.1392  -0.5600   5.6459  -1.5505   0.7937  -0.2372  -3.8294  -1.7699  -1.1681   0.3038 
+ -1.4631  -1.5744  -1.0602   1.2727   5.2755   0.7411   2.6424   0.9111  -1.5443  -0.8217  -2.4580  -1.9627  -0.3229  -0.7005  -0.1842   1.4410   1.1190  -0.0388  -1.7254   0.4532 
+  2.6735  -0.1320  -2.0731  -1.2667  -0.0059   0.4063   1.1045  -0.6500   0.2919  -0.2343  -0.1432   0.5161  -1.3203  -1.9223  -1.8439  -0.3541   2.5902   0.7807   0.9691   0.6136 
+ -2.5760  -2.1039   3.3039   7.5737   4.8510  -1.9280   1.3509  -0.0624   1.3149   2.3856  -2.8836   1.6777   1.6919  -0.2315   2.0672  -1.6292  -7.7877  -7.8864  -2.4230   3.2949 
+  0.1825   1.4326   1.8802  -0.7600  -3.5028  -2.0654  -2.5905  -1.9780  -1.3931  -2.0377   2.0912  -0.7666  -1.6801   0.1901   1.3312  -0.8245  -0.8221   9.1933   2.6121  -0.4925 
+  0.6596   0.5183   0.0656   0.6099   0.2170  -0.2483   0.3752   0.0528  -1.3550  -1.9590  -3.0746  -2.7901   1.7480   0.0667  -1.3253   1.8365   1.2016   0.6331   1.5502   1.2179 
+  1.5180  -2.8697  -3.0225   1.1901   1.2949   1.2425  -0.2655  -1.0124   0.1504   0.9476   0.8294   0.4980  -4.6214  -0.4714   2.3140   0.5042   0.0042   0.6173   0.0250   1.1274 
+  5.2946   0.9166  -1.6961   2.6183   3.7503  -0.5464  -0.4536  -2.5804   0.7239  -3.0443  -0.9745  -0.5296  -1.2153   0.2578  -4.9483   0.2574   1.6442  -1.7218  -1.0182   3.2654 
+ -0.3113   0.1627   0.2010  -0.6825   0.4894   0.3705   0.5406  -0.5307   2.3413   3.1334  -0.2531   0.7289   0.0127   0.8411  -0.5394  -1.5751  -4.4648   3.3442  -1.3619  -2.4473 
+  0.7892   1.6007   2.2451  -0.0142  -1.8268   1.0211   1.1632  -0.4310   0.4809   0.7681  -0.3119  -3.1840   1.8621   0.7982   3.9396   5.5125  -9.0182  -7.2338   1.4720   0.3673 
+  4.5691   3.1984   0.4848  -1.6299  -1.5279  -0.4613  -0.3940  -0.7641  -0.7740  -1.4705  -2.0718  -3.7739  -3.8204  -2.0882   0.9538   2.3794   3.3309   2.1292   0.9829   0.7475 
+ -1.7639  -2.1300   1.8133   5.4637   4.9096   0.4400  -0.2077  -3.2872  -2.8010  -3.3973   1.4612  -0.7884  -0.4468   0.3167   3.0330   3.6546   1.5554  -2.1172  -5.0158  -0.6924 
+ -0.9691   2.1549   0.9464  -1.8955  -2.4830   0.5229   1.0573  -0.1544  -2.7731  -1.7762  -1.2133   0.4997  -0.4040   0.0598   2.1564   0.9676   0.1749  -0.3066   1.3334   2.1020 
+  0.1735  -0.6351  -2.2851   0.3979   2.1071   0.8723  -1.4327   2.7248   2.2122  -3.8366  -6.8693   2.9956   2.2340   0.2392   4.5854   0.8064  -0.4877  -1.9451   0.1604  -2.0173 
+ -3.0467  -2.6229  -0.6828  -1.5402  -4.5504  -0.6274  -1.5654  -1.1048  -5.0244   1.2208   4.3959   1.7152   0.8404   2.3104   3.9110   1.3725   3.6004  -1.5868  -0.0242   3.0095 
+  4.6972  -2.0723   3.7478  -0.0539  -1.3604  -1.6975  -5.1051   4.5477   7.4910   0.8111  -1.5236  -2.0035  -2.3201  -1.9156  -1.8399   2.7039   1.1102   2.7618   0.1987  -8.1775 
+  4.2697   2.1482   1.1807  -0.8188  -0.0158  -0.9415  -3.1934  -7.6652  -5.2761  -0.4096   0.8289  -0.6591  -0.1321  -2.2645   2.6890   3.5308  -0.1860   2.2844   2.1691   2.4613 
+ -2.6176  -1.9646  -0.3365   0.4490   1.7890   3.0096   1.2687   0.1913   0.7099   3.1055   2.4376   1.5156   0.2027  -3.2954  -0.8316   0.6250   2.5125  -1.9645  -4.7360  -2.0703 
+  0.9801  -1.1590  -1.1869  -1.8206  -2.6697  -2.2474  -1.9247   1.3390   0.7955   3.2786   2.1796   1.2439   3.8310   0.9791  -3.7027  -2.0691  -3.3297   3.4700   4.0219  -2.0091 
+ -1.9305   1.1296   2.7892   3.5086  -0.4192   1.8621  -2.4767  -4.5620  -1.3151  -0.4855   0.2130   4.0896  -0.2763   2.9118   1.5789  -0.3477  -0.8200   5.6054  -7.8822  -3.1730 
+  3.5183   4.1815   1.9981  -0.8261  -1.4369  -0.3881   1.0213  -3.8793  -3.6636   2.2621   1.1803   1.7727  -0.7985  -1.2902  -5.0777  -1.2307   0.3381   4.4122  -1.4815  -0.6120 
+  4.0477   1.4256  -1.6604  -3.5999  -1.9136  -0.3445   0.3946   1.6694   1.2905   0.9828   0.5724  -0.1289   1.3498   1.3379   0.2067   0.3656   0.2492  -1.2128  -3.2905  -1.7416 
+ -2.0178  -2.6699  -1.3526   0.2496   0.4148  -0.8854   1.0823  -0.6203   1.2579   0.4148  -2.2346  -0.4015   1.4157   4.8809   6.6230  -3.5608  -1.8735  -4.5603   3.5038   0.3340 
+  1.4937  -1.5420  -2.3850   3.1706   1.4707   0.1938   0.5057   3.8806  -0.0936   0.3334   0.4606   1.4472  -0.9030  -1.4318   3.5118  -5.2689  -1.4235  -1.2997   0.0053  -2.1257 
+ -3.6561   0.1855   0.3705   1.1645   0.2341  -0.8092   2.3980  -0.3274  -0.4576  -1.1851  -3.8496   2.0281  -3.3309   0.9466  -0.0780   1.0318   4.0737   2.6190  -0.3495  -1.0083 
+ -0.1238  -0.3756  -0.3626  -1.1974  -3.0280  -3.3983  -3.5184  -2.8303  -0.2464  -1.0525   0.7469   1.1667   1.9967   2.0536   5.8842   4.6720   0.6593  -0.2270  -1.2558   0.4368 
+  1.4898  -0.0036   2.1872   4.7731   5.3388   2.1104   0.8610  -1.9286  -4.4764  -2.9139  -5.8875   0.1502   2.3687  -3.3444   1.8016   2.0118   0.3480   1.5855  -1.0664  -5.4053 
+ -0.2559  -0.0970   0.6606  -3.0637  -4.0503  -2.5522   0.2345   0.1786  -0.3244  -2.5706   1.7286   2.2086   1.6927   2.7400   1.9340  -0.1619   5.4140   3.6846  -5.1534  -2.2469 
+  0.7337   0.6464  -0.7291  -0.8337  -0.3024   0.3377   1.5178   1.0116   2.5850   0.9759  -1.3970  -3.2182  -3.6906  -0.0798   3.4993  -1.9939  -5.3046   1.4115   4.7666   0.0639 
+ -2.9601  -0.9321  -1.3007  -4.5012  -0.6859   1.6271   0.8938   1.8188   2.7147   2.4868   2.4402   0.6577   1.2040   2.0247   0.2523   1.3499   1.0757  -5.3086  -0.2223  -2.6347 
+  1.2887   2.2547   3.3766   1.8575  -1.7910  -1.7548   1.5265   2.7964   1.2240   1.9720   0.2687   1.8100   3.1328  -2.5860  -2.7821  -3.9778  -2.4086  -2.0066  -0.0746  -4.1265 
+  0.8108  -0.0118   0.3510   0.2469  -0.3564  -0.0688   2.2772   2.9983   0.0220  -0.8672  -4.8310  -2.0824   0.0877   2.2501   0.0661  -8.6456  -1.6422   4.8643   2.3157   2.2152 
+ -2.3502   1.9923   1.6641  -2.2786   3.4633   2.6050  -3.0058   1.5172  -5.3190  -0.9994  -2.4221   0.2495   3.8898  -2.0580   1.1705   0.4058  -1.2798   2.5712  -0.5349   0.7192 
+  5.2963   2.7580   0.0542  -1.8363   0.6217   3.1975   0.8761   0.6926   0.1889  -2.2049  -2.6639  -2.3949  -0.4550   0.9028   0.9417  -2.3200  -1.6049   2.2215  -3.0876  -1.1840 
+  0.0332   0.6867  -0.5444  -2.6560  -2.3272  -1.9975   2.7492   3.4613   1.2531   2.2970   0.6826   1.6161   0.8081  -2.8567  -0.2510   3.1363  -4.7699  -0.8591   1.4746  -1.9362 
+  0.1179   0.1304  -0.0905  -0.0885   0.5876   2.0857  -0.3875  -1.3306  -0.8957  -0.1982   0.8458  -0.0513  -2.2349  -5.5634   7.5385   3.9965  -1.0630  -1.5645  -2.1020   0.2680 
+  1.5416   0.4773  -0.0338   0.6704   0.3091  -0.0982  -0.8312  -1.8586  -2.1668  -3.0698  -3.6621  -2.8717  -0.1465   2.9749   3.0473   2.3156  -0.0362   0.7605   1.1471   1.5312 
+ -1.4651  -1.1492  -0.6700  -0.6012  -0.1247   1.1550  -0.2106  -1.2695  -0.4411   1.1446   4.1491   2.6600   1.3124   1.6069   0.6316  -0.4851  -2.5715  -4.3867  -1.0040   1.7189 
+  0.2437   0.6555   0.3411   0.8466  -1.7425  -0.1636   6.1311   0.6211  -2.7030  -1.5009  -0.1744   0.8660   1.3589   1.2490   1.1273  -2.7402  -0.0949  -1.5440  -1.8610  -0.9159 
+  4.3927   3.3672   0.9009  -1.2521   0.6230  -0.5206   0.8245  -0.9087  -1.8374   0.0097  -3.1469  -2.4307  -3.0482   0.2541   1.9480   5.7092  -3.3716  -3.2953   2.6836  -0.9014 
+  2.2171   0.1913  -1.6779  -0.9585  -1.3241   0.2292   1.4881   2.7969   0.2756  -3.8207  -2.4695  -0.3208   2.3024   2.5414  -0.1815  -0.2933   2.0837   0.9892  -1.0861  -2.9823 
+  0.1186   0.1645  -0.3865  -0.8001  -0.3047  -2.3398  -0.6229  -0.0641   0.8491   1.7026  -1.1341  -2.0704  -0.3123   0.1814   3.8820   1.2943   0.4627  -0.5672   0.5181  -0.5712 
+ -0.1015  -2.3234  -2.3520   0.9949   2.2704   0.9946   0.3560   0.9113   0.1017  -0.4530   0.8520  -1.0302   0.8806   0.3674  -2.6615  -4.8900  -2.9475   1.9045   2.6392   4.4864 
+  2.3941   1.7010   1.9067   0.4931  -1.4348  -2.6074  -1.1597  -1.0504  -3.0460  -2.8157  -0.6597  -0.5920  -0.3406  -1.1230  -0.8586   4.9381   2.8734   1.4518   2.5923  -2.6625 
+ -0.8669   1.9301   3.2551   6.1577   2.0399   2.6785   0.7380  -0.3115   4.7391   1.4868  -6.0175  -7.4317  -4.5623  -0.8590   3.8966  -0.1349  -2.5476  -0.0080  -1.4441  -2.7383 
+ -1.8064   0.5147   0.5800  -2.6271  -3.9359  -2.9321  -2.4785   0.6104  -1.7343  -0.3653  -0.3024   0.2350   2.3057   1.9998   2.2392   1.9124   3.0438  -0.2241   5.1672  -2.2020 
+  1.8580   3.3342   3.0400   1.0670   0.2251   0.5480   1.7906   0.7871   1.2850  -0.3795  -2.0150  -2.3713   0.5611   0.5214  -0.8547   0.0171  -1.8463  -2.7006  -1.7828  -3.0844 
+  1.4841  -0.8100  -2.4242  -1.8509  -0.9746  -1.0553   4.8924   1.3818  -1.8605  -4.3708  -2.0142   6.4457   0.9506  -0.5924   0.1104   2.4175  -0.6754  -0.8459  -0.1554  -0.0530 
+ -0.0877  -0.9877  -1.7358   0.3853   1.1022   1.2975   4.3189  -1.9877  -3.1833   1.0392   0.1796   4.1158   1.4650  -1.6177   1.6123  -4.1615  -3.2584   1.2187  -4.3136   4.5989 
+  0.4487  -0.1107  -2.0381  -0.2337   2.5745   2.8339  -0.0417   1.4413  -1.4483  -1.1675  -6.2515  -6.9360  -3.2717   4.8492   0.9246  -0.9750   4.1724   1.7821   1.3820   2.0655 
+  0.1081  -0.6949   0.1665   0.6685   0.8790   0.7273   0.1766  -0.0005  -0.2218  -0.4294   0.4489  -0.4843   0.2008   2.1975   4.5024  -1.0296  -1.2026  -2.5547  -1.0944  -2.3636 
+  2.3396   2.1543   2.2429   4.7578   0.8390  -0.8895   4.6297   0.4985  -2.3653   2.1787  -1.0612  -0.8953  -6.2919   0.5546  -0.4272  -0.9670  -1.9781  -0.4692  -5.5295   0.6795 
+  0.1530  -2.1926   2.1973   4.5005  -1.3453   1.3286  -2.0310   1.0783  -1.3510  -0.7983   0.6783  -3.4857   5.3977  -3.6561  -3.5986   6.0882   0.1428  -0.9697   3.0219  -5.1583 
+ -2.6086  -0.0766   2.7222   2.0552   2.4096   3.0319   1.0596  -0.1283  -0.8104  -0.2732  -1.4259  -4.0229  -1.4469  -1.6716  -1.1861  -0.9216   0.6780  -0.0004   2.0118   0.6041 
+  1.8333   3.1078  -1.8097   1.1817   3.7643   0.5185   1.9828  -0.3454   1.2321  -1.0494  -6.2996   3.9399  -4.6043   2.7296  -2.2906  -1.7821  -0.5503  -0.1687   1.5615  -2.9514 
+ -1.9822  -1.7870  -2.0807  -0.6471   1.7376  -0.7108  -0.9897   0.1273  -1.5435  -3.4080   1.1979   3.2003   1.0189  -0.9731  -1.0790  -1.9655   3.5511   1.2692   3.4593   1.6049 
+  1.8097   0.7952   2.3044   2.0422   0.0385  -1.4890  -2.6817  -2.4115  -2.0814  -4.7349   1.3168   5.2099   2.0691   0.2209  -0.3967  -1.3910  -0.0825  -1.3970  -1.3074   2.1664 
+ -0.6317  -0.6961  -1.7818   1.7212   1.8896   0.7627   6.4133   0.0239  -2.0812  -0.6340  -0.8745  -0.8436  -3.5167  -3.0992  -0.4403  -5.0217   5.7819   4.7221  -2.9383   1.2443 
+ -0.8542  -4.8873  -5.4381  -4.2630  -4.1290   0.7749   4.7768   0.2842   0.3115  -0.2820   0.2149  -0.1804   0.6193   5.7873   5.1866  -1.3257  -3.0389  -1.9693   8.9711  -0.5589 
+ -1.7203   0.3016   0.2697   0.0913   0.2499   2.9554   0.3320   0.0927  -3.0516   1.3578  -0.8456   1.2764   0.1248   3.9102   2.8147  -2.3847  -6.7532  -2.2614   1.9868   1.2535 
+  2.3588   1.8978   1.0798   1.0217   0.8258  -0.3312   0.8967  -0.1754  -0.3981   1.0150  -0.3879  -0.8493  -1.2690  -1.1797   1.5079  -0.1598  -2.3607   1.1269   2.6480  -7.2674 
+  1.1746   4.6165   5.4940   3.4461  -3.9021  -1.6050  -0.1323  -0.9380  -0.4156  -1.9000  -0.2856  -1.2349  -3.6515  -2.9147   0.0530   1.1469   0.2371  -1.3253   3.8834  -1.7466 
+ -2.2758   1.8844   4.6711   2.2076  -1.3597  -0.4741   0.4627  -0.0358  -0.0017  -1.0258  -0.6957  -1.0270   1.1372  -2.6040  -3.0616  -4.3523   1.6973   1.9314   1.1807   1.7410 
+  1.9665   1.3206  -0.1069   0.8467   1.1209   2.6581   1.0313  -0.7646  -0.9327  -0.4666   1.3979  -1.1019  -2.4235  -8.2049   1.1737   4.9310   0.7484   0.2664  -6.0708   2.6104 
+  1.1852  -1.5416  -3.6491   4.4048  -6.7437   4.6469   1.6802   1.2910   2.2789   2.7610   1.3944  -0.7732  -5.8136   4.4421  -2.2039   0.8414  -5.8722  -4.6747  -3.6578  10.0038 
+ -3.9689  -0.5502   1.1683  -2.1974  -1.9082   0.1416   1.6772   0.3260   3.7162   2.4168   2.6207  -1.7735   1.5236   0.3480  -0.3569   4.1471   1.4471  -0.6226  -8.1997   0.0448 
+  0.6532   1.4910   1.2058   1.7096   2.3950   1.7319  -1.5483  -1.8447  -2.2888   0.7634   3.2796   1.6709  -4.9985  -3.0829  -1.1211   1.2229  -0.2209  -1.1940   1.9569  -1.7811 
+ -1.9523  -4.3005  -4.5837   1.0346   1.2567   1.0099   3.2344   2.8332   1.1895  -1.5164  -2.2052  -1.2334  -1.4331   2.1022   2.3179   5.6712   2.1958  -2.0504  -2.5243  -1.0460 
+ -1.1815  -1.5300  -0.6842  -0.5633  -2.6867  -1.4016   0.6359  -2.0170  -1.2970  -1.6432  -1.0489  -1.3764  -1.1731  -0.5962   3.5229   5.3595   3.1187   3.4061   0.3009   0.8550 
+ -3.1382  -0.6280  -0.8774  -0.9941   0.9435   0.9619   0.8520  -3.3796  -3.2423  -1.3758   3.3040   2.2194   1.0056   2.5348  -0.2996   0.9762  -3.7819  -0.3936   5.7234  -0.4105 
+ -3.2428  -5.3967  -1.5226   4.3711   2.0836   2.1112   0.7032  -4.0183 -12.6551 -15.4852   0.9361   9.2253  10.5424   3.4081   3.4337  -0.7556   1.6657   0.8127   4.5992  -0.8160 
+  1.8248   0.0419   0.5248   1.8646  -1.2814  -2.6618  -0.0669   0.1817   2.2151  -0.8152   5.1179   2.3104   3.6555  -8.7128  -2.0790   1.0629  -0.0963  -1.5473   0.4756  -2.0146 
+ -0.1111   0.3482  -0.0235  -0.7175  -0.1449  -0.3857  -0.8724   0.4592   0.4980   0.2237   0.3924   0.2623  -0.5426   0.9370  -0.6701   0.1600   0.1978   1.4707  -0.4540  -1.0274 
+ -0.9442  -0.4989  -0.2375  -0.5991  -1.2414  -0.4327  -0.2055  -0.5191   2.6955   3.9938  -2.7275   1.8004   1.9744   1.7067  -0.5541  -5.7033   0.6046  -1.4009  -1.3782   3.6669 
+ -0.8575   0.6722   1.8197   2.2695   1.4265  -1.5445  -1.7430  -1.5937   2.0470  -0.1126   0.3473   1.4243   0.9317  -1.3895  -1.0640   0.4664  -0.0706  -3.0958  -1.0532   1.1198 
+  0.9735  -3.1553  -4.9524  -1.8534   0.7715   2.4911   5.1271   0.4320  -4.1146   1.1236   2.7184   2.0135   1.9444   1.7813   1.8232  -2.6267  -5.6361   0.3774   1.0979  -0.3363 
+  1.9497   1.0413  -1.2191  -0.8636   0.0511  -0.3375  -0.5315  -1.0284   2.1218  -5.0828   1.0827  -2.2172  -1.3936   0.4537   3.3006   0.9962  -1.2147   0.0930  -2.8723   5.6705 
+ -3.0064  -0.6690   1.9882   3.1451   0.5101   1.4897   6.0735   3.0322   0.7197   2.5823   0.9024  -1.3595  -0.6102  -4.4164  -5.2345   0.5038  -1.7243  -1.0135   0.3868  -3.2999 
+ -1.3127  -0.5603  -0.4395  -0.5779  -1.3273  -0.7737   1.1446   2.1363   0.5709  -0.9646   0.1742  -0.3429   0.7079  -1.3617  -0.1807   0.8278   4.5177  -3.6128   1.9484  -0.5738 
+  4.9592   5.5662  -1.4308   2.4625  -1.3728   0.3179   2.5142  -3.1176  -3.0793   2.5866  -6.0767  -3.0209  -1.0428   3.7946   3.4423  -3.9407   3.8680  -5.8781  -3.2612   2.7097 
+  1.8752   4.6096   2.6992   0.0622   1.9683  -1.5159  -0.2846   2.0429   5.1916   0.0415   0.4228   0.2499  -1.8859  -1.2282  -1.8414  -3.2239  -2.8594  -2.2718  -1.9470  -2.1050 
+ -0.4172  -0.0660  -0.7815  -1.3234   1.6425   1.5960   0.1952   2.8005   1.8348  -0.0556  -1.7528  -0.3330   2.5351   3.2175  -0.0237  -2.6102  -2.3993  -0.4569   0.2104  -3.8124 
+  0.5340  -7.1325   7.3739  -7.1474   5.0035   4.0837   1.7481   0.6285   2.1470   3.3649   3.4871  -4.6213   5.3643  -0.8361   2.3067  -0.6517  -4.1528  -4.1599  -0.0969  -7.2432 
+  6.4977  -1.8922   6.0123   2.6649   3.9019  -2.9401  -5.9544   6.5995  -3.7727  -1.3909  -4.1986   0.3151   1.1248   0.2299   1.4836  -7.4381   0.2549   4.7727  -2.9947  -3.2755 
+  0.0546   0.0075   0.5596   0.2523  -2.3268  -4.5642  -3.6799  -0.8395   2.7336   3.7088   2.7486   2.6118   1.5065   0.0463   0.4170  -0.5592   1.5006  -0.4534  -1.6715  -2.0529 
+  2.9815   2.4495   1.7545   3.2822   2.8844   2.5666   0.0398   1.6192   2.6128   3.3153  -4.7284  -2.6356  -1.7561  -4.3333  -3.6328  -2.9815  -0.9212  -0.8755  -0.3601  -1.2811 
+ -0.8024   1.2002   3.2220  -0.7626  -2.1102  -1.0525  -1.8044   0.6518  -0.3024   1.2038   0.2348   0.2257  -2.8991  -1.6610   1.3306  -0.9177  -2.5629  -0.6077   5.6868   1.7272 
+ -0.1833  -0.3751   0.5635   0.1503  -0.2949  -0.6821   1.4873  -1.2805  -1.3007  -0.6803   0.0098   0.9789   1.7868   3.5914   0.8184   1.0857   6.4677  -3.3457  -6.7060  -2.0913 
+  4.2126   1.0339  -0.8906   0.9053   2.8206   3.1913   0.4808   1.7342   1.1617   0.7387   3.7928  -0.7288  -6.1883  -1.6937  -4.9005  -3.6291  -0.7611  -1.4035  -0.2407   0.3643 
+ -8.3754  -2.2519   1.3080   1.8062   0.8850   1.6497   2.0880   2.7261   0.2633  -0.5998   0.5979   0.7034   0.9960   2.9711   0.1650   0.8745  -0.1614  -0.6875  -1.3556  -3.6024 
+  1.4188   1.0202   1.5256   1.6620   0.7476  -1.4390  -3.4051  -1.8780   0.4521  -3.9741   0.7867  -0.3719  -2.3721  -1.0437   0.6801  -0.2011  -3.0818   2.9062   4.2361   2.3315 
+  0.1054  -2.6122  -4.3807  -5.3145  -0.2846   4.3842   3.0170   3.8061   0.7110  -1.0498  -0.2574  -0.9802   0.3402   1.2503   2.5457  -7.8042  -0.1469   2.8259   3.0062   0.8386 
+  5.2058   7.1080   4.9534  -1.2430  -6.6855  -3.7117  -6.1961  -2.1515  -0.5576  -1.6169   5.7678   7.7780  -3.9195   1.0323  -4.8749   2.1979  -6.6948   5.7018  -1.1809  -0.9126 
+  5.0054   3.2246   2.7220   2.5774   0.3515  -0.4988  -0.6659  -1.1531  -0.3512  -0.2899  -1.1677   0.8076  -0.0710  -1.3279  -1.8820  -2.0262  -1.5275  -2.2770  -2.2582   0.8080 
+ -0.3421  -2.1542  -1.9404   1.9715   2.0717   1.2690  -0.5900   2.8831   2.5295  -0.0718   1.0132  -2.1895   0.9449   0.2787   2.8471   3.2171  -2.0622  -4.9892  -4.8142   0.1278 
+ -3.5648  -4.5220  -3.8219  -0.0484   2.5590   3.3348   4.6892   3.0890   3.1738   2.4402  -0.3648  -2.0478  -1.8476   0.1171  -0.1749  -2.2364   0.1988  -2.2378   0.6726   0.5920 
+ -2.5566  -0.8410  -0.4280  -0.4406  -0.5726  -0.3279  -1.8710  -2.4830   2.8140   4.1548  -1.1877  -1.2228   1.1741   0.7041  -4.1128   0.8974   1.6460   2.7315   1.4956   0.4265 
+  0.6395   0.6244   0.2175   0.2548  -0.6436  -1.4509  -1.2471  -1.8889  -1.6984   0.6300  -0.0902  -1.4274   1.6267   2.2897  -1.4907  -1.0863  -0.5990  -0.3234   4.5402   1.1229 
+ -3.0281  -3.4576   0.2465   1.1848  -0.3128  -1.4112  -1.7883  -2.4368  -3.6604   0.2309   4.1432   0.2306   3.9874   1.3414  -2.9661   0.2318   1.3943   2.8996   1.0512   2.1197 
+ -6.4523  -0.8108   3.0394   2.9265   1.7276  -0.6852  -1.3401  -1.2086   0.2339   0.6323   0.9584  -0.4322  -0.4865   1.1438   3.9792  -0.5978  -3.3409  -0.0134   0.1557   0.5712 
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+ -7.8257  -8.0514  -2.2922   4.6049   1.7841   0.2877   2.4600   0.2299   0.3961   0.7952   4.9841   0.5914  -3.3601   1.4043   5.5671   2.2508   0.0018   1.5100  -2.0511  -3.2867 
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+  4.5993   2.8908   2.6348   2.5753   3.5423  -1.3467  -3.6340  -1.3719  -1.5896  -1.7807   0.4182  -0.4869  -0.0081  -1.7322  -5.0302  -4.0281   3.2297   0.1854   0.7317   0.2006 
+ -3.2143  -2.4079   2.3832  -1.4835  -2.9589  -4.3471  -9.4701  -8.6980   2.2131  11.9939   3.4222   5.6731   1.0493   0.9347   3.1770   3.6996  -0.0115   2.2951  -2.8928  -1.3571 
+  2.2986   0.5686  -2.7234   0.0628   3.3595   3.0322   1.2528   0.1697   0.2877  -3.1109  -4.5198   4.2898   4.5477  -0.5365  -2.9437  -1.7760  -3.4896  -0.4971   0.5506  -0.8230 
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+ -3.5447  -2.6492  -1.1225   1.1104  -0.6763  -0.3734   0.7874   2.9348   3.7914   3.3802  -3.0687  -1.7645  -1.7552   0.4322   1.5566   3.1434  -2.9717   0.2913   0.3294   0.1693 
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+  2.9132   0.8992  -1.0688  -1.5448  -0.9185   0.4003  -1.7700  -2.7768  -1.4639   0.2261   0.7139   1.7997   3.0514   3.3204   0.6803   0.9792  -0.2717  -2.6450  -0.2252  -2.2988 
+ -2.9741  -2.4804  -3.0116  -3.1521   0.1074   1.3714   0.6662   2.0637   1.7849  -0.4611  -0.7720  -1.6172   0.8203   3.4203   0.8069   2.2581   3.2451   0.5915  -2.2429  -0.4245 
+ -0.8028  -0.2290   0.2137  -0.4319   0.5580   0.2543   0.9172   0.8892  -0.4807  -1.2827   0.9202   1.1454  -1.6931  -3.6479   0.4568   3.9049   1.2435   2.6145   0.7928  -5.3425 
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+ -2.5398  -1.3830   0.0979   1.9654   3.5192  -0.0522  -3.2870  -3.8507   0.6356  -0.9850  -3.0198  -3.7269  -0.8310   1.9829   1.8339  -0.8073   0.2152   2.0459   6.1180   2.0688 
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+ -5.8327   1.1129   0.8081   5.6003   5.5684   4.7020   2.8089   0.4347   1.1649  -4.9188 -11.4465  -1.3196   0.4225  -2.4705   0.3286  -0.0113   8.7340  -2.1220  -2.1264  -1.4373 
+ -1.6231  -1.3969  -2.0111  -1.2620   4.3084  -1.2012   1.2341   0.1866   0.0635  -2.6548   2.3896   1.8088   0.0290  -4.3105   3.9166  -0.0331  -0.3748  -2.4710   1.0435   2.3583 
+  0.6310   1.3989   1.5277   0.7608   1.0894   1.7235   2.0681   2.3537   0.9918   1.2164  -0.3325  -2.2666   0.1756   0.1615   0.5196  -2.6730  -7.1201  -2.9272  -5.4551   6.1563 
+  7.8768   5.4153  -2.5369   0.0405   4.1259  -0.2108  -4.6599  -0.9803  -1.3472  -5.5873   0.0334  -6.0975  -0.7915   0.7551  -0.1575   2.8766  -3.5702  -0.2561   4.0100   1.0615 
diff --git a/octave/train_all_speech_1.txt b/octave/train_all_speech_1.txt
new file mode 100644
index 0000000..735c713
--- /dev/null
+++ b/octave/train_all_speech_1.txt
@@ -0,0 +1,514 @@
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diff --git a/octave/train_all_speech_2.txt b/octave/train_all_speech_2.txt
new file mode 100644
index 0000000..bd6fd92
--- /dev/null
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diff --git a/octave/trellis.m b/octave/trellis.m
new file mode 100644
index 0000000..01649ec
--- /dev/null
+++ b/octave/trellis.m
@@ -0,0 +1,594 @@
+% trellis.m
+% David Rowe July 2021
+%
+% Testing trellis decoding of Codec 2 Vector Quantiser (VQ)
+% information.  Uses soft decision information, probablility of state
+% transitions, and left over redundancy to correct errors on VQ
+% reception.
+%
+% VQ indexes are transmitted as codewords mapped to +-1
+%
+%   y = c + n
+%
+% where c is the transmitted codeword, y is the received codeword,
+% and n is Gaussian noise.
+%
+% This script generates the test data files:
+%
+%  cd codec2/build_linux
+%  ../script/train_trellis.sh
+%
+% Results so far (August 2021):
+%
+%   1/ 2dB improvement with nstages=3, dec=1
+%   2/ No useful improvement with nstages=3, dec=4.  This is required for a practical codec to
+%      get a useful bit rate.
+
+1;
+
+% converts a decimal value to a soft dec binary value
+function c = dec2sd(dec, nbits)
+    
+    % convert to binary
+
+    c = zeros(1,nbits);
+    for j=0:nbits-1
+      mask = 2.^j;
+      if bitand(dec,mask)
+        c(nbits-j) = 1;
+      end
+    end
+
+    % map to +/- 1
+
+    c = -1 + 2*c;
+endfunction
+
+
+% y is vector of received soft decision values (e.g +/-1 + noise)
+function [txp indexes] = ln_tx_codeword_prob_given_rx_codeword_y(y, nstates, C)
+  nbits = length(y);
+  np    = 2.^nbits;
+  
+  % Find log probability of all possible transmitted codewords
+  txp = C * y';
+  
+  % return most probable codewords (number of states to search)
+  [txp indexes] = sort(txp,"descend");
+  txp = txp(1:nstates);
+  indexes = indexes(1:nstates) - 1;
+endfunction
+
+% A matrix of all possible tx codewords C, one per row
+function C = precompute_C(nbits)
+  np    = 2.^nbits;
+
+  C = zeros(np, nbits);
+  for r=0:np-1
+    C(r+1,:) = dec2sd(r,nbits);
+  end
+  
+endfunction
+
+
+% work out transition probability matrix, given lists of current and next
+% candidate codewords
+
+function tp = calculate_tp(vq, sd_table, h_table, indexes_current, indexes_next, verbose)
+  ntxcw = length(indexes_current);
+  tp = zeros(ntxcw, ntxcw);
+  for txcw_current=1:ntxcw
+    index_current = indexes_current(txcw_current);
+    for txcw_next=1:ntxcw
+      index_next = indexes_next(txcw_next);
+      dist = vq(index_current+1,:) - vq(index_next+1,:);      
+      sd = mean(dist.^2);
+      p = prob_from_hist(sd_table, h_table, sd);
+      if bitand(verbose, 0x2)
+        printf("index_current: %d index_next: %d sd: %f p: %f\n", index_current, index_next, sd, p);
+      end
+      tp(txcw_current, txcw_next) = log(p);
+    end
+  end
+endfunction
+
+
+% y is the sequence received soft decision codewords, each row is one
+% codeword in time.  sd_table and h_table map SD to
+% probability.  Returns the most likely transmitted VQ index ind in the
+% middle of the codeword sequence y.  We search the most likely ntxcw
+% tx codewords out of 2^nbits possibilities.
+
+function ind = find_most_likely_index(y, vq, C, sd_table, h_table, nstages, ntxcw, verbose)
+    [ncodewords nbits] = size(y);
+
+    % populate the nodes of the trellis with the most likely transmitted codewords
+    txp = zeros(nstages, ntxcw); indexes = zeros(nstages, ntxcw);
+    for s=1:nstages
+      [atxp aindexes] = ln_tx_codeword_prob_given_rx_codeword_y(y(s,:), ntxcw, C);
+      txp(s,:) = atxp;
+      indexes(s,:) = aindexes;
+    end
+    
+    if verbose
+      printf("rx_codewords:\n");
+      for r=1:ncodewords
+        for c=1:nbits
+          printf("%7.2f", y(r,c));
+        end
+        printf("\n");
+      end
+
+      printf("\nProbability of each tx codeword index/binary/ln(prob):\n");
+      printf("    ");
+      for s=1:nstages
+        printf("Time n%+d                  ", s - (floor(nstages/2)+1));
+      end
+      printf("\n");
+
+      for i=1:ntxcw
+        printf("%d   ", i);
+        for s=1:nstages
+	  ind = indexes(s,i);
+          printf("%4d %12s %5.2f   ", ind, dec2bin(ind,nbits), txp(s, i));
+        end
+        printf("\n");
+      end
+      printf("\n");
+    end
+    
+    % Determine transition probability matrix for each stage, this
+    % changes between stages as lists of candidate tx codewords
+    % changes
+ 
+    tp = zeros(nstages, ntxcw, ntxcw);
+    for s=1:nstages-1
+      if verbose printf("Calc tp(%d,:,:)\n", s), end
+      tp(s,:,:) = calculate_tp(vq, sd_table, h_table, indexes(s,:), indexes(s+1,:), verbose);
+    end
+
+    if verbose
+      printf("Evaluation of all possible paths:\n");
+      printf("  ");
+      for s=1:nstages
+        printf(" n%+d", s - (floor(nstages/2)+1));
+      end
+      printf("    indexes");
+      printf("      ");
+      
+      for s=1:nstages
+        printf("   txp(%d)", s-1);
+        if s < nstages
+          printf(" tp(%d,%d) ", s-1,s);
+        end
+      end
+      printf("     prob  max_prob\n");
+    end
+
+    % OK lets search all possible paths and find most probable
+
+    n = ones(1,nstages); % current node at each stage through trellis, describes current path
+    max_prob = -100;
+    do
+      
+      if bitand(verbose, 0x4)
+       printf("  ");
+       for s=1:nstages
+          printf("%4d", n(s)-1);
+        end
+        printf("  ");
+         for s=1:nstages
+          printf("%4d ", indexes(s,n(s)));
+        end
+      end
+
+      % find the probability of current path
+      prob = 0;
+      for s=1:nstages
+         prob += txp(s, n(s));
+         if bitand(verbose,0x4)
+           printf("%8.2f ", txp(s, n(s)));
+         end
+         if s < nstages
+	   prob += tp(s, n(s), n(s+1));
+           if bitand(verbose,0x4)
+             printf("%8.2f ", tp(s, n(s), n(s+1)));
+           end
+         end
+      end
+
+      if (prob > max_prob)
+        max_prob = prob;
+        max_n = n; 
+      end    
+    
+      if bitand(verbose,0x4)
+        printf("%9.2f %9.2f\n", prob, max_prob);
+      end
+
+      % next path
+
+      s = nstages;
+      n(s)++;
+      while (s && (n(s) == (ntxcw+1))) 
+        n(s) = 1;
+        s--;
+        if s > 0
+          n(s)++;
+        end
+      end
+    until (sum(n) == nstages)
+
+    middle = floor(nstages/2)+1;
+    ind = indexes(middle, max_n(middle));
+    if verbose
+      printf("\nMost likely path through nodes... ");
+      for s=1:nstages
+        printf("%4d ", max_n(s)-1);
+      end
+      printf("\nMost likely path through indexes: ");
+      for s=1:nstages
+        printf("%4d ", indexes(s,max_n(s)));
+      end
+      printf("\nMost likely VQ index at time n..: %4d\n", ind);
+    end
+endfunction
+
+
+% Given a normalised histogram, estimate probability from SD
+function p = prob_from_hist(sd_table, h_table, sd)
+  p = interp1 (sd_table, h_table, sd, "extrap", "nearest");
+endfunction
+
+
+% Calculate a normalised histogram of the SD of adjacent frames from
+% a file of output vectors from the VQ.
+function [sd_table h_table] = vq_hist(vq_output_fn, dec=1)
+  K=20; K_st=2+1; K_en=16+1;
+  vq_out = load_f32(vq_output_fn, K);
+  [r c]= size(vq_out);
+  diff = vq_out(dec+1:end,K_st:K_en) - vq_out(1:end-dec,K_st:K_en);
+  % Octave efficient way to determine MSE or each row of matrix
+  sd_adj = meansq(diff');
+  [h_table sd_table] = hist(sd_adj,100,1);
+  h_table = max(h_table, 1E-5);
+endfunction
+
+
+% vector quantise a sequence of target input vectors, returning the VQ indexes and
+% quantised vectors target_
+function [indexes target_] = vector_quantiser(vq, target, verbose=1)
+  [vq_size K] = size(vq);
+  [ntarget tmp] = size(target);
+  target_ = zeros(ntarget,K);
+  indexes = zeros(1,ntarget);
+  for i=1:ntarget
+    best_e = 1E32;
+    for ind=1:vq_size
+      e = sum((vq(ind,:)-target(i,:)).^2);
+      if verbose printf("i: %d ind: %d e: %f\n", i, ind, e), end;
+      if e < best_e
+        best_e = e;
+	best_ind = ind;
+      end
+    end
+    if verbose printf("best_e: %f best_ind: %d\n", best_e, best_ind), end;
+    target_(i,:) = vq(best_ind,:); indexes(i) = best_ind;
+  end
+endfunction
+
+
+% faster version of vector quantiser
+function [indexes target_] = vector_quantiser_fast(vq, target, verbose=1)
+  [vq_size K] = size(vq);
+  [ntarget tmp] = size(target);
+  target_ = zeros(ntarget,K);
+  indexes = zeros(1,ntarget);
+
+  % pre-compute energy of each VQ vector
+  vqsq = zeros(vq_size,1);
+  for i=1:vq_size
+    vqsq(i) = vq(i,:)*vq(i,:)';
+  end
+
+  % use efficient matrix multiplies to search for best match to target
+  for i=1:ntarget
+    best_e = 1E32;
+    e = vqsq - 2*(vq * target(i,:)');
+    [best_e best_ind] = min(e);
+    if verbose printf("best_e: %f best_ind: %d\n", best_e, best_ind), end;
+    target_(i,:) = vq(best_ind,:); indexes(i) = best_ind;
+  end
+endfunction
+
+
+% VQ a target sequence of frames then run a test using vanilla uncoded/trellis decoder
+function results = run_test(target, vq, sd_table, h_table, ntxcw, nstages, EbNo, verbose)
+  [frames tmp]      = size(target);
+  [vq_length tmp]   = size(vq);
+  nbits             = log2(vq_length);
+  nerrors           = 0;
+  nerrors_vanilla   = 0;
+  tbits             = 0;
+  nframes           = 0;
+  nper              = 0;
+  nper_vanilla      = 0;
+  
+  C = precompute_C(nbits);
+
+  % Vector Quantise target vectors sequence
+  [tx_indexes target_ ] = vector_quantiser_fast(vq, target, verbose);
+  % use convention of indexes starting from 0
+  tx_indexes -= 1; 
+  %  mean SD of VQ with no errors
+  diff = target - target_;
+  mse_noerrors = mean(diff(:).^2);
+  
+  % construct tx symbol codewords from VQ indexes
+  tx_codewords = zeros(frames, nbits);
+  for f=1:frames
+    tx_codewords(f,:) = dec2sd(tx_indexes(f), nbits);
+  end
+
+  rx_codewords = tx_codewords + randn(frames, nbits)*sqrt(1/(2*EbNo));
+  rx_indexes = zeros(1,frames);
+  rx_indexes_vanilla = ones(1,frames);
+
+  ns2 = floor(nstages/2);
+  for f=ns2+1:frames-ns2
+    %if f==10 verbose = 1+0x2, else verbose = 0;, end
+    if verbose
+      printf("f: %d tx_indexes: ", f);
+      for i=f-ns2:f+ns2
+        printf("%d ", tx_indexes(i));
+      end
+    printf("\n");
+    end
+    tx_bits = tx_codewords(f,:) > 0;
+    if verbose
+      printf("tx_bits: ");
+      for i=1:nbits
+        printf("%d",tx_bits(i));
+      end
+      printf("\n");
+    end
+    rx_bits_vanilla = rx_codewords(f,:) > 0;
+    rx_indexes(f)   = find_most_likely_index(rx_codewords(f-ns2:f+ns2,:)*EbNo,
+                                             vq, C, sd_table, h_table, nstages, ntxcw, verbose);
+    rx_bits         = dec2sd(rx_indexes(f), nbits) > 0;
+    rx_indexes_vanilla(f) = sum(rx_bits_vanilla .* 2.^(nbits-1:-1:0));
+    errors           = sum(xor(tx_bits, rx_bits));
+    nerrors         += errors;
+    if errors nper++;, end
+    errors           = sum(xor(tx_bits, rx_bits_vanilla));
+    nerrors_vanilla += errors;
+    if errors nper_vanilla++;, end
+    if verbose
+      printf("[%d] %d %d\n", f, nerrors, nerrors_vanilla);
+    end
+    tbits += nbits;
+    nframes++;
+  end
+
+  EbNodB = 10*log10(EbNo);
+  target = target(ns2+1:frames-ns2,:);
+  target_vanilla_ = vq(rx_indexes_vanilla(ns2+1:frames-ns2)+1,:);
+  target_ = vq(rx_indexes(ns2+1:frames-ns2)+1,:);
+  diff_vanilla = target - target_vanilla_;
+  mse_vanilla = mean(diff_vanilla(:).^2);
+  diff = target - target_;
+  mse = mean(diff(:).^2);
+  printf("Eb/No: %3.2f dB nframes: %2d nerrors %3d %3d BER: %4.3f %4.3f PER: %3.2f %3.2f mse: %3.2f %3.2f %3.2f\n", 
+         EbNodB, nframes, nerrors, nerrors_vanilla, nerrors/tbits, nerrors_vanilla/tbits,
+	 nper/nframes, nper_vanilla/nframes,
+         mse_noerrors, mse, mse_vanilla);
+  results.ber = nerrors/tbits;	 
+  results.ber_vanilla = nerrors_vanilla/tbits;
+  results.per = nper/nframes;	 
+  results.per_vanilla = nper_vanilla/nframes;
+  results.mse_noerrors = mse_noerrors;
+  results.mse = mse;
+  results.mse_vanilla = mse_vanilla;
+  results.tx_indexes = tx_indexes;
+  results.rx_indexes = rx_indexes;
+  results.rx_indexes_vanilla = rx_indexes_vanilla;
+endfunction
+
+% Simulations ---------------------------------------------------------------------
+
+% top level function to set up and run a test
+function [results target_] = test_trellis(target_fn, nframes=100, dec=1, ntxcw=8, nstages=3, EbNodB=3, verbose=0)
+  K = 20; K_st=2+1; K_en=16+1;
+  vq_fn = "../build_linux/vq_stage1_bs004.f32";
+  vq_output_fn = "../build_linux/all_speech_8k_test.f32";
+  
+  % load VQ
+  vq = load_f32(vq_fn, K);
+  [vq_size tmp] = size(vq);
+  vqsub = vq(:,K_st:K_en);
+  
+  % load file of VQ-ed vectors to train up SD PDF estimator
+  [sd_table h_table] = vq_hist(vq_output_fn, dec);
+
+  % load sequence of target vectors we wish to VQ
+  target = load_f32(target_fn, K);
+
+  % limit test to the first nframes vectors
+  if nframes != -1
+    last = nframes;
+  else
+    last = length(target);
+  end
+  target = target(1:dec:last,K_st:K_en);
+  
+  % run a test
+  EbNo=10^(EbNodB/10);
+  results = run_test(target, vqsub, sd_table, h_table, ntxcw, nstages, EbNo, verbose);
+  if verbose
+    for f=2:nframes-1
+      printf("f: %03d tx_index: %04d rx_index: %04d\n", f,  results.tx_indexes(f), results.rx_indexes(f));
+    end
+  end
+
+  % return full band vq-ed vectors
+  target_ = zeros(last,K);
+  target_(1:dec:last,:) = vq(results.rx_indexes+1,:);
+  
+  % use linear interpolation to restore original frame rate
+  for f=1:dec:last-dec
+    prev = f; next = f + dec;
+    for g=prev+1:next-1
+      cnext = (g-prev)/dec; cprev = 1 - cnext;
+      target_(g,:) = cprev*target_(prev,:) + cnext*target_(next,:);
+      %printf("f: %d g: %d cprev: %f cnext: %f\n", f, g, cprev, cnext);
+    end
+  end
+endfunction
+
+% Plot histograms of SD at different decimations in time
+function vq_hist_dec(vq_output_fn)
+  figure(1); clf;
+  [sd_table h_table] = vq_hist(vq_output_fn, dec=1);
+  plot(sd_table, h_table, "b;dec=1;");
+  hold on;
+  [sd_table h_table] = vq_hist(vq_output_fn, dec=2);
+  plot(sd_table, h_table, "r;dec=2;");
+  [sd_table h_table] = vq_hist(vq_output_fn, dec=3);
+  plot(sd_table, h_table, "g;dec=3;");  
+  [sd_table h_table] = vq_hist(vq_output_fn, dec=4);
+  plot(sd_table, h_table, "c;dec=4;");  
+  hold off;
+  axis([0 300 0 0.5])
+  xlabel("SD dB*dB"); title('Histogram of SD(n,n+1)');
+endfunction
+
+% Automated tests for vanilla and fast VQ search functions
+function test_vq(vq_fn)
+  K=20;
+  vq = load_f32(vq_fn, K);
+  vq_size = 100;
+  target = vq(1:vq_size,:);
+  indexes = vector_quantiser(target,target, verbose=0);
+  assert(indexes == 1:vq_size);
+  printf("Vanilla OK!\n");
+  indexes = vector_quantiser_fast(target,target, verbose=0);
+  assert(indexes == 1:vq_size);
+  printf("Fast OK!\n");
+endfunction
+
+% Test trellis decoding a single vector in a sequence of 3
+function ind = run_test_single(tx_codewords, ntxcw, var, verbose)
+  nstages  = 3;
+  nbits = 2;
+  
+  rx_codewords = tx_codewords + randn(nstages, nbits)*var;
+  vq = [0 0 0 1;
+        0 0 1 0;
+	0 1 0 0;
+	1 0 0 0];
+  sd_table = [0 1 2 4];
+  h_table = [0.5 0.25 0.15 0.1];
+  C = precompute_C(nbits);
+  ind = find_most_likely_index(rx_codewords, vq, C, sd_table, h_table, nstages, ntxcw, verbose);
+endfunction
+
+% Series of single point sanity checks
+function test_single
+  printf("Single vector decode tests....\n");
+  ind = run_test_single([-1 -1; -1 -1; -1 -1], ntxcw=1, var=0, verbose=0);
+  assert(ind == 0);
+  printf("00 with no noise OK!\n");
+
+  ind = run_test_single([-1 1; 1 1; -1 1], ntxcw=1, var=0, verbose=0);
+  assert(ind == 3);
+  printf("11 with no noise OK!\n");
+  
+  ind = run_test_single([-1 -1; -1 1; -1 -1], ntxcw=4, var=1, verbose=0);
+  assert(ind == 1);
+  printf("01 with noise OK!\n");  
+endfunction
+
+% BPSK simulation to check noise injection
+function test_bpsk_ber
+  nbits = 12;
+  frames = 10000;
+  tx_codewords = zeros(frames,nbits);
+  tx_bits = zeros(frames,nbits);
+  for f=1:frames
+    tx_codewords(f,:) = dec2sd(f, nbits);
+    tx_bits(f,:) = tx_codewords(f,:) > 0;
+  end
+
+  EbNodB = 5;
+  EbNo = 10^(EbNodB/10);
+  rx_codewords = tx_codewords + randn(frames, nbits)*sqrt(1/(2*EbNo));
+  rx_bits = rx_codewords > 0;
+  nerrors = sum(xor(tx_bits, rx_bits)(:));
+  tbits = frames*nbits;
+  printf("EbNo: %4.2f dB tbits: %d errs: %d BER: %4.3f %4.3f\n", EbNodB, tbits, nerrors, nerrors/tbits, 0.5*erfc(sqrt(EbNo)));
+endfunction
+
+% generate sets of curves
+function [EbNodB rms_sd] = run_curves(frames=100, dec=1, nstages=5)
+  results_log = [];
+  EbNodB = [0 1 2 3 4 5];
+  target_fn = "../build_linux/all_speech_8k_lim.f32";
+
+  for i=1:length(EbNodB)
+    results = test_trellis(target_fn, frames, dec, ntxcw=8, nstages, EbNodB(i), verbose=0);
+    results_log = [results_log results];
+  end
+  for i=1:length(results_log)
+    ber(i) = results_log(i).ber;
+    ber_vanilla(i) = results_log(i).ber_vanilla;
+    per(i) = results_log(i).per;
+    per_vanilla(i) = results_log(i).per_vanilla;
+    rms_sd_noerrors(i) = sqrt(results_log(i).mse_noerrors);
+    rms_sd(i) = sqrt(results_log(i).mse);
+    rms_sd_vanilla(i) = sqrt(results_log(i).mse_vanilla);
+  end
+
+  figure(1); clf; semilogy(EbNodB, ber_vanilla, "r+-;uncoded;"); hold on;
+  semilogy(EbNodB, ber, "g+-;trellis;"); hold off;
+  grid('minor'); title(sprintf("BER dec=%d nstages=%d",dec,nstages));
+  print("-dpng", sprintf("trellis_dec_%d_ber.png",dec));
+  
+  figure(2); clf; semilogy(EbNodB, per_vanilla, "r+-;uncoded;"); hold on;
+  semilogy(EbNodB, per, "g+-;trellis;");
+  grid('minor'); title(sprintf("PER dec=%d nstages=%d",dec,nstages));
+  print("-dpng", sprintf("trellis_dec_%d_per.png",dec));
+
+  figure(3); clf; plot(EbNodB, rms_sd_noerrors, "b+-;no errors;"); hold on;
+  plot(EbNodB, rms_sd_vanilla, "r+-;uncoded;");
+  plot(EbNodB, rms_sd, "g+-;trellis;"); hold off;
+  grid('minor'); title(sprintf("RMS SD dec=%d nstages=%d",dec,nstages));
+  print("-dpng", sprintf("trellis_dec_%d_rms_sd.png",dec));
+endfunction
+
+function vq_file(vq_fn, dec, EbNodB, in_fn, out_fn)
+  [results target_] = test_trellis(in_fn, nframes=-1, dec, ntxcw=8, nstages=3, EbNodB, verbose=0);
+  save_f32(out_fn, target_);
+endfunction
+
+% -------------------------------------------------------------------
+
+more off;
+randn('state',1);
+
+% uncomment one of the below to run a test or simulation
+
+% These two tests show where we are at:
+%test_trellis(target_fn, nframes=600, dec=1, ntxcw=8, nstages=3, EbNodB=3, verbose=0);
+%test_trellis(target_fn, nframes=600, dec=4, ntxcw=8, nstages=3, EbNodB=3, verbose=0);
+
+%run_curves(600,1)
+%run_curves(600,2)
+%run_curves(600,4)
+%[EbNodB rms_sd] = run_curves(30*100,3,3)
+
+%test_trellis(target_fn, nframes=200, dec=1, ntxcw=1, nstages=3, EbNodB=3, verbose=0);
+%test_trellis(target_fn, nframes=100, dec=2, ntxcw=8, nstages=3, EbNodB=3, verbose=0);
+%test_vq("../build_linux/vq_stage1.f32");
+%vq_hist_dec("../build_linux/all_speech_8k_test.f32");
+%test_single
+%test_bpsk_ber
diff --git a/octave/trellis_dec3_nstage3.txt b/octave/trellis_dec3_nstage3.txt
new file mode 100644
index 0000000..b4d8e98
--- /dev/null
+++ b/octave/trellis_dec3_nstage3.txt
@@ -0,0 +1,15 @@
+# Created by Octave 5.2.0, Sun Sep 12 12:26:33 2021 ACST <david@boomer>
+# name: EbNodB
+# type: matrix
+# rows: 1
+# columns: 6
+ 0 1 2 3 4 5
+
+
+# name: rms_sd
+# type: matrix
+# rows: 1
+# columns: 6
+ 7.7412523956816406 6.4841339000579836 5.8017966072531637 4.9470616511274006 4.3575512816148612 3.5924646693565796
+
+
diff --git a/octave/vq b/octave/vq
new file mode 100644
index 0000000..d5ab591
--- /dev/null
+++ b/octave/vq
@@ -0,0 +1,10247 @@
+# Created by Octave 3.8.1, Sat Apr 23 08:58:51 2016 AEST <david@penetrator>
+# name: vq
+# type: matrix
+# ndims: 3
+ 256 20 2
+ 1.085205426985832
+ -0.4260300009189197
+ 0.833577745236378
+ 1.798373960816606
+ 0.9935936444607169
+ 0.1239833582287509
+ 1.575157273987481
+ 0.9540245374175702
+ 0.3562009016948172
+ 1.585644452239723
+ 1.506294746166876
+ 0.2396183532805597
+ 1.367446280732269
+ 1.282223720216575
+ 1.162423214604796
+ 0.5244164469952718
+ 1.128835884692779
+ 1.058918853547902
+ 1.963632826547209
+ 0.5811484562442362
+ 1.120960795023191
+ 1.293247932196338
+ 0.8421615329424976
+ 1.327956700632984
+ 1.150131602897049
+ 1.32240186352708
+ 1.151653785065956
+ 0.4043141675059787
+ -0.605854891571997
+ 0.5664167394483143
+ -0.7537298690327013
+ 1.049449161804654
+ 0.5218464074650003
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diff --git a/octave/vq_700c_eq.m b/octave/vq_700c_eq.m
new file mode 100644
index 0000000..3e57b9a
--- /dev/null
+++ b/octave/vq_700c_eq.m
@@ -0,0 +1,366 @@
+% vq_700c.m
+% David Rowe May 2019
+%
+% Researching Codec 2 700C VQ equaliser ideas
+% See also scripts/train_700c_quant.sh, tnewamp1.m
+
+melvq;
+newamp_700c;
+
+% general purpose plot function for looking at averages of K-band
+% sequences in scripts dir and VQs:
+%   vq_700c_plots({"hts2a.f32" "vk5qi.f32" "train_120_1.txt"})
+
+function vq_700c_plots(fn_array)
+  K = 20; rate_K_sample_freqs_kHz = mel_sample_freqs_kHz(K);
+  freq_Hz = rate_K_sample_freqs_kHz * 1000;
+  
+  figure(1); clf; hold on; axis([200 4000 40 90]); title('Max Hold');
+  figure(2); clf; hold on; axis([200 4000  0 40]); title('Average'); 
+  
+  for i=1:length(fn_array)
+    [dir name ext] = fileparts(fn_array{i});
+    if strcmp(ext, ".f32")
+      % f32 feature file
+      fn = sprintf("../build_linux/%s%s", name, ext)
+      bands = load_f32(fn , K);
+    else
+      % text file (e.g. existing VQ)
+      bands = load(fn_array{i});
+    end
+    % for max hold: break into segments of Nsec, find max, average maximums
+    % this avoids very rare global peaks setting the max
+    Nsec = 10; Tframe = 0.01; frames_per_seg = Nsec/Tframe
+    Nsegs = floor(length(bands)/frames_per_seg)
+    max_holds = zeros(Nsegs, K);
+    if Nsegs == 0
+       max_holds = max(bands)
+    else
+      for s=1:Nsegs
+        st = (s-1)*frames_per_seg+1; en = st + frames_per_seg - 1;
+        max_holds(s,:) = max(bands(st:en,:));
+      end
+      max_holds = mean(max_holds);
+    end
+    figure(1); plot(freq_Hz, max_holds, '+-', 'linewidth', 2);
+    figure(2); plot(freq_Hz, mean(bands), '+-', 'linewidth', 2);
+  end
+  figure(1); legend(fn_array); grid; xlabel('Freq (Hz)'); ylabel('Amp dB');
+  figure(2); legend(fn_array); grid; xlabel('Freq (Hz)'); ylabel('Amp dB');
+endfunction
+
+
+% limit mean of each vector to between lower_lim and upper_lim
+function vout = limit_vec(vin, lower_lim, upper_lim)
+  m = mean(vin');
+  vout = zeros(size(vin));
+  for i=1:length(vin)
+    vec_no_mean = vin(i,:) - m(i);
+    if m(i) < lower_lim
+      m(i) = lower_lim;
+    end
+    if m(i) > upper_lim
+      m(i) = upper_lim;
+    end
+    vout(i,:) = vec_no_mean + m(i);
+  end
+endfunction
+
+
+% single stage vq a target matrix
+function errors = vq_targets(vq, targets)
+  errors = [];
+  for i=1:length(targets)
+    [mse_list index_list] = search_vq(vq, targets(i,:), 1);
+    error = targets(i,:) - vq(index_list(1),:);
+    errors = [errors; error];
+  end
+endfunction
+
+
+% single stage vq a target matrix with adaptive EQ, this didn't work
+
+function [errors eqs] = vq_targets_adap_eq(vq, targets, eqs)
+  errors = []; gain=0.02;
+  eq = eqs(end,:);
+  for i=1:length(targets)
+    t = targets(i,:) - eq;
+    mean(t)
+    %t -= mean(t);
+    [mse_list index_list] = search_vq(vq, t, 1);
+    error = t - vq(index_list(1),:);
+    eq = (1-gain)*eq + gain*error;
+    errors = [errors; error]; eqs = [eqs; eq];
+  end
+endfunction
+
+
+% single stage vq a target matrix with block adaptive EQ, this works
+% well with nblock == 10
+
+function [errors eq] = vq_targets_block_eq(vq, targets, eq, nblock)
+  errors = []; n = 0; [tmp K] = size(vq); error_eq = zeros(1,K); gain=0.20;
+  for i=1:length(targets)
+    t = targets(i,:) - eq;
+    [mse_list index_list] = search_vq(vq, t, 1);
+    error = t - vq(index_list(1),:);
+    error_eq += error;
+    errors = [errors; error];
+    n++;
+    if n == nblock
+      eq = 0.99*eq + gain*error_eq/nblock;
+      n = 0; error_eq = zeros(1,K);
+    end  
+  end
+endfunction
+
+
+% two stage mbest VQ a target matrix
+
+function [errors targets_] = vq_targets2(vq1, vq2, targets)
+  vqset(:,:,1)= vq1; vqset(:,:,2)=vq2; m=5;
+  [errors targets_] = mbest(vqset, targets, m);
+endfunction
+
+
+% two stage mbest VQ a target matrix, with adap_eq
+
+function [errors targets_ eq] = vq_targets2_adap_eq(vq1, vq2, targets, eq)
+  vqset(:,:,1)= vq1; vqset(:,:,2)=vq2; m=5; gain=0.02;
+  errors = []; targets_ = [];
+  for i=1:length(targets)
+    t = targets(i,:)-eq;
+    t -= mean(t')';
+    [error target_ indexes] = mbest(vqset, t, m);
+    % use first stage VQ as error driving adaptive EQ
+    eq_error = t - vq1(indexes(1),:);
+    eq = (1-gain)*eq + gain*eq_error;
+    errors = [errors; error]; targets_ = [targets_; target_];
+  end
+endfunction
+
+
+% Given target and vq matrices, estimate eq via two metrics.  First
+% metric seems to work best.  Both uses first stage VQ error for EQ
+
+function [eq1 eq2] = est_eq(vq, targets)
+  [ntargets K] = size(targets);
+  [nvq K] = size(vq);
+  
+  eq1 = zeros(1,K);  eq2 = zeros(1,K);
+  for i=1:length(targets)
+    [mse_list index_list] = search_vq(vq, targets(i,:), 1);
+
+    % eq metric 1: average of error for best VQ entry
+    eq1 += targets(i,:) - vq(index_list(1),:);
+    
+    % eq metric 2: average of error across all VQ entries
+    for j=1:nvq
+      eq2 += targets(i,:) - vq(j,:);
+    end
+  end
+
+  eq1 /= ntargets;
+  eq2 /= (ntargets*nvq);
+endfunction
+
+function [targets e] = load_targets(fn_target_f32)
+  nb_features = 41;
+  K = 20;
+
+  % .f32 files are in scripts directory, first K values rate_K_no_mean vectors
+  [dir name ext] = fileparts(fn_target_f32);
+  fn = sprintf("../script/%s_feat.f32", name);
+  feat = load_f32(fn, nb_features);
+  e = feat(:,1);
+  targets = feat(:,2:K+1);
+endfunction
+
+% rather simple EQ in front of VQ
+
+function [eqs ideal] = est_eq_front(targets)
+  [tmp K] = size(targets);
+  ideal = [ 8 10 12 14 14*ones(1,K-1-4) -20];
+  eq = zeros(1,K); gain = 0.02;
+  eqs = [];
+  for i=1:length(targets)
+    update = targets(i,:) - ideal;
+    eq = (1-gain)*eq + gain*update;
+    eq(find(eq < 0)) = 0;
+    eqs = [eqs; eq];
+  end
+endfunction
+
+function table_across_samples
+  K = 20;
+
+  % VQ is in .txt file in this directory, we have two to choose from.  train_120 is the Codec 2 700C VQ,
+  % train_all_speech was trained up from a different, longer database, as a later exercise
+  vq_name = "train_120";
+  #vq_name = "train_all_speech";  
+  vq1 = load(sprintf("%s_1.txt", vq_name));
+  vq2 = load(sprintf("%s_2.txt", vq_name));
+  
+  printf("----------------------------------------------------------------------------------\n");
+  printf("Sample                Initial  vq1     vq1_eq2  vq1_eq2  vq2    vq2_eq1  vq2_eq2 \n");
+  printf("----------------------------------------------------------------------------------\n");
+            
+  fn_targets = { "cq_freedv_8k_lfboost" "cq_freedv_8k_hfcut" "cq_freedv_8k" "hts1a" "hts2a" "cq_ref" "ve9qrp_10s" "vk5qi" "c01_01_8k" "ma01_01"};
+  #fn_targets = {"cq_freedv_8k_lfboost"};
+  figs=1;
+  for i=1:length(fn_targets)
+
+    % load target and estimate eq
+    [targets e] = load_targets(fn_targets{i});
+    eq1 = est_eq(vq1, targets);
+    eq2s = est_eq_front(targets);
+    % for these simulation uses fixed EQ sample, rather than letting it vary frame by frame
+    eq2 = eq2s(end,:);
+    
+    % first stage VQ -----------------
+    
+    errors1 = vq_targets(vq1, targets);
+    errors1_eq1 = vq_targets(vq1, targets-eq1);
+    errors1_eq2 = vq_targets(vq1, targets-eq2);
+    
+    % two stage mbest VQ --------------
+    
+    [errors2 targets_] = vq_targets2(vq1, vq2, targets);
+    [errors2_eq1 targets_eq1_] = vq_targets2(vq1, vq2, targets-eq1);
+    [errors2_eq2 targets_eq2_] = vq_targets2(vq1, vq2, targets-eq2);
+
+    % save to .f32 files for listening tests
+    if strcmp(vq_name,"train_120")
+      save_f32(sprintf("../script/%s_vq2.f32", fn_targets{i}), targets_);
+      save_f32(sprintf("../script/%s_vq2_eq1.f32", fn_targets{i}), targets_eq1_);
+      save_f32(sprintf("../script/%s_vq2_eq2.f32", fn_targets{i}), targets_eq2_);
+    else
+      save_f32(sprintf("../script/%s_vq2_as.f32", fn_targets{i}), targets_);
+      save_f32(sprintf("../script/%s_vq2_as_eq.f32", fn_targets{i}), targets_eq_);
+    end 
+    printf("%-21s %6.2f  %6.2f  %6.2f   %6.2f   %6.2f  %6.2f  %6.2f\n", fn_targets{i},
+            var(targets(:)), var(errors1(:)), var(errors1_eq1(:)), var(errors1_eq2(:)),
+            var(errors2(:)), var(errors2_eq1(:)), var(errors2_eq2(:)));
+
+    figure(figs++); clf;
+    %plot(var(errors2'),'b;vq2;'); hold on; plot(var(errors2_eq1'),'g;vq2_eq1;'); plot(var(errors2_eq2'),'r;vq2_eq2;'); hold off;
+    plot(mean(targets),'g;mean(targets);'); hold on; plot(mean(vq1),'g;mean(vq1);'); plot(eq2,'r;eq2;'); hold off;
+    title(fn_targets{i}); axis([1 K -20 30]);
+   end
+endfunction
+
+
+% interactve, menu driven frame by frame plots
+
+function interactive(fn_vq_txt, fn_target_f32)
+  K = 20;
+  vq = load("train_120_1.txt");
+  [targets e] = load_targets(fn_target_f32);
+  eq1 = est_eq(vq, targets);
+
+  [errors1_eq2 eqs2] = vq_targets_adap_eq(vq, targets, zeros(1,K));
+  [errors1_eq2 eqs2] = vq_targets_adap_eq(vq, targets, eqs2(end,:));
+  eq2 = eqs2(end,:);
+  
+  figure(1); clf;
+  mesh(e+targets)
+  figure(2); clf;
+  plot(eq1,'b;eq1;')
+  hold on;
+  plot(mean(targets),'c;mean(targets);'); plot(eq2,'g;eq2;');
+  hold off;
+  figure(3); clf; mesh(eqs2); title('eq2 evolving')
+
+  % enter single step loop
+  f = 20; neq = 0; eq=zeros(1,K);
+  do 
+    figure(4); clf;
+    t = targets(f,:) - eq;
+    [mse_list index_list] = search_vq(vq, t, 1);
+    error = t - vq(index_list(1),:);
+    plot(e(f)+t,'b;target;');
+    hold on;
+    plot(e(f)+vq(index_list,:),'g;vq;');
+    plot(error,'r;error;');
+    plot(eq,'c;eq;');
+    plot([1 K],[e(f) e(f)],'--')
+    hold off;
+    axis([1 K -20 80])
+    % interactive menu 
+
+    printf("\r f: %2d eq: %d ind: %3d var: %3.1f menu: n-next  b-back  e-eq q-quit", f, neq, index_list(1), var(error));
+    fflush(stdout);
+    k = kbhit();
+
+    if k == 'n' f+=1; end
+    if k == 'e'
+      neq++;
+    end
+    if neq == 3 neq = 0; end
+    if neq == 0 eq = zeros(1,K); end
+    if neq == 1 eq = eq1; end
+    if neq == 2 eq = eqs2(f,:); end
+    if k == 'b' f-=1; end
+  until (k == 'q')
+  printf("\n");
+endfunction
+
+
+% Experiment to test iterative approach of block update and remove
+% mean (ie frame energy), shows some promise at reducing HF energy
+% over several iterations while not affecting already good samples
+
+function experiment_iterate_block(fn_vq_txt, fn_target_f32)
+  K = 20;
+  vq = load("train_120_1.txt");
+  [targets e] = load_targets(fn_target_f32);
+
+  figure(1); clf;
+  plot(mean(targets),'b;mean(targets);');
+  hold on;
+  plot(mean(vq), 'g;mean(vq);');
+  figure(2); clf; hold on;
+  eq = zeros(1,K);
+  for i=1:3
+    [errors eq] = vq_targets_block_eq(vq, targets, eq, 10);    
+    figure(1); plot(mean(targets-eq));
+    figure(2); plot(eq);
+    printf("i: %d %6.2f\n", i, var(errors(:)))
+  end
+endfunction
+
+% Experiment to test EQ of input (before) VQ.  We set a threshold on
+% when to equalise, so we don't upset already flat-ish samples.  This
+% is the algorithm used for C at the time of writing (newamp1.c, newamp_700c.m)
+
+function experiment_front_eq(fn_vq_txt, fn_target_f32)
+  K = 20;
+  vq = load("train_120_1.txt");
+  [targets e] = load_targets(fn_target_f32);
+
+  [eqs ideal] = est_eq_front(targets);
+  
+  figure(1); clf;
+  plot(mean(targets),'b;mean(targets);');
+  hold on;
+  plot(ideal, 'g;ideal;');
+  plot(eqs(end,:), 'r;eq;');
+  plot(mean(targets)-eqs(end,:), 'c;equalised;');
+  plot(mean(vq),'b--;mean(vq);');
+  hold off;
+  figure(2); clf; mesh(eqs(1:100,:)); title('EQ weights over time');
+  ylabel('Time (frames'); xlabel('Freq (mel)');
+endfunction
+
+more off
+
+% choose one of these to run first
+% You'll need to run scripts/train_700C_quant.sh first to generate the .f32 files
+
+%interactive("train_120_1.txt", "cq_freedv_8k_lfboost.f32")
+%table_across_samples;
+%vq_700c_plots({"all_speech_8k.f32" "all_speech_8k_hp300.f32" "dev-clean-8k.f32" "train_8k.f32" } )
+%vq_700c_plots({"ve9qrp_10s.f32" "cq_freedv_8k_lfboost.f32" "cq_ref.f32" "hts1a.f32" "vk5qi.f32"})
+%experiment_iterate_block("train_120_1.txt", "ve9qrp_10s.f32")
+%experiment_iterate_block("train_120_1.txt", "cq_freedv_8k_lfboost.f32")
+%experiment_front_eq("train_120_1.txt", "cq_freedv_8k_lfboost.f32")
diff --git a/octave/vq_binary_switch.m b/octave/vq_binary_switch.m
new file mode 100644
index 0000000..19b0172
--- /dev/null
+++ b/octave/vq_binary_switch.m
@@ -0,0 +1,210 @@
+% vq_binary_switch.m
+% David Rowe Sep 2021
+%
+% Experiments in making VQs robust to bit errors, this is an Octave
+% implementation of [1].
+%
+% [1] Pseudo Gray Coding, Zeger & Gersho 1990
+
+1;
+
+% returns indexes of hamming distance 1 neighbours
+function index_neighbours = distance_one_neighbours(N,k)
+  log2N = log2(N);
+  index_neighbours = [];
+  for b=0:log2N-1
+    index_neighbour = bitxor(k-1,2.^b) + 1;
+    index_neighbours = [index_neighbours index_neighbour];
+  end
+end
+
+% equation (33) of [1], for hamming distance 1
+function c = cost_of_distance_one(vq, prob, k, verbose=0)
+  [N K] = size(vq);
+  log2N = log2(N);
+  c = 0;
+  for b=0:log2N-1
+    index_neighbour = bitxor(k-1,2.^b) + 1;
+    diff = vq(k,:) - vq(index_neighbour, :);
+    dist = sum(diff*diff');
+    c += prob(k)*dist;
+    if verbose
+      printf("k: %d b: %d index_neighbour: %d dist: %f prob: %f c: %f \n", k, b, index_neighbour, dist, prob(k), c);
+    end
+  end
+endfunction
+
+% equation (39) of [1]
+function d = distortion_of_current_mapping(vq, prob, verbose=0)
+  [N K] = size(vq);
+  
+  d = 0;
+  for k=1:N
+    c = cost_of_distance_one(vq, prob, k);
+    d += c;
+    if verbose
+      printf("k: %2d c: %f d: %f\n", k, c, d);
+    end
+  end
+endfunction
+
+function [vq distortion] = binary_switching(vq, prob, max_iteration, fast_en=1)
+  [N K] = size(vq);
+  iteration = 0;
+  i = 1;
+  finished = 0;
+  switches = 0;
+  distortion0 = distortion_of_current_mapping(vq, prob)
+  
+  while !finished
+
+    % generate a list A(i) of which vectors have the largest cost of bit errors
+    c = zeros(1,N);
+    for k=1:N
+      c(k) = cost_of_distance_one(vq, prob, k);
+    end
+    [tmp A] = sort(c,"descend");
+    
+    % Try switching each vector with A(i)
+    best_delta = 0;
+    for j=2:N
+      % we can't switch with ourself
+      if j != A(i)
+        if fast_en
+          delta = -cost_of_distance_one(vq, prob, A(i)) - cost_of_distance_one(vq, prob, j);
+	  n1 = [distance_one_neighbours(N,A(i)) distance_one_neighbours(N,j)];
+	  n1(n1 == A(i)) = [];
+	  n1(n1 == j) = [];
+	  for l=1:length(n1)
+	    delta -= cost_of_distance_one(vq, prob, n1(l));
+	  end
+        else
+	  distortion1 = distortion_of_current_mapping(vq, prob);
+	end
+	
+        % switch vq entries A(i) and j
+	tmp = vq(A(i),:);
+	vq(A(i),:) = vq(j,:);
+	vq(j,:) = tmp;
+		
+        if fast_en
+	  delta += cost_of_distance_one(vq, prob, A(i)) + cost_of_distance_one(vq, prob, j);
+	  for l=1:length(n1)
+	    delta += cost_of_distance_one(vq, prob, n1(l));
+	  end
+	else
+	  distortion2 = distortion_of_current_mapping(vq, prob);
+          delta = distortion2 - distortion1;
+	end
+	
+	if delta < 0
+	  if abs(delta) > best_delta
+	    best_delta = abs(delta);
+	    best_j = j;
+	  end
+	end
+	
+	% unswitch
+	tmp = vq(A(i),:);
+	vq(A(i),:) = vq(j,:);
+	vq(j,:) = tmp;
+      end
+    end % next j
+
+    % printf("best_delta: %f best_j: %d\n", best_delta, best_j);
+    if best_delta == 0
+      % Hmm, no improvement, lets try the next vector in the sorted cost list
+      if i == N
+        finished = 1;
+      else
+        i++;
+      end
+    else
+      % OK keep the switch that minimised the distortion
+ 
+      tmp = vq(A(i),:);
+      vq(A(i),:) = vq(best_j,:);
+      vq(best_j,:) = tmp;
+      switches++;
+
+      % set up for next iteration
+      iteration++;
+      distortion = distortion_of_current_mapping(vq, prob);
+      printf("it: %3d dist: %f %3.2f i: %3d sw: %3d\n", iteration, distortion,
+             distortion/distortion0, i, switches);
+      if iteration >= max_iteration, finished = 1, end
+      i = 1;
+     end
+
+  end
+
+endfunction
+
+% return indexes of hamming distance one vectors
+function ind = neighbour_indexes(vq, k)
+  [N K] = size(vq);
+  log2N = log2(N);
+  ind = [];
+  for b=0:log2N-1
+    index_neighbour = bitxor(k-1,2.^b) + 1;
+    ind = [ind index_neighbour];
+  end
+endfunction
+
+function test_binary_switch
+  vq1 = [1 1; -1 1; -1 -1; 1 -1];
+  %f=fopen("vq1.f32","wb"); fwrite(f, vq1, 'float32'); fclose(f);
+  [vq2 distortion] = binary_switching(vq1, ones(1,4), 10);
+  % algorithm should put hamming distance 1 neighbours in adjacent quadrants
+  distance_to_closest_neighbours = 2;
+  % there are two hamming distance 1 neighbours
+  target_distortion = 2^2*distance_to_closest_neighbours*length(vq1);
+  assert(target_distortion == distortion);
+  printf("test_binary_switch OK!\n");
+endfunction
+
+function test_fast
+  N=16;     % Number of VQ codebook vectors
+  K=2;      % Vector length
+  Ntrain=10000;
+
+  training_data = randn(Ntrain,K);
+  [idx vq1] = kmeans(training_data, N);
+  f=fopen("vq1.f32","wb");
+  for r=1:rows(vq1)
+    fwrite(f,vq1(r,:),"float32");
+  end
+  fclose(f);
+  [vq2 distortion] = binary_switching(vq1, [1 ones(1,N-1)], 1000, fast_en = 0);
+  [vq3 distortion] = binary_switching(vq1, [1 ones(1,N-1)], 1000, fast_en = 1);
+  assert(vq2 == vq3);  
+  printf("test_fast OK!\n");
+endfunction
+
+function demo
+  N=16;     % Number of VQ codebook vectors
+  K=2;      % Vector length
+  Ntrain=10000;
+  training_data = randn(Ntrain,K);
+  [idx vq1] = kmeans(training_data, N);
+  [vq2 distortion] = binary_switching(vq1, [1 ones(1,N-1)], 1000, 1);
+
+  figure(1); clf; plot(training_data(:,1), training_data(:,2),'+');
+  hold on;
+  plot(vq1(:,1), vq1(:,2),'og','linewidth', 2);
+  plot(vq2(:,1), vq2(:,2),'or','linewidth', 2);
+
+  % plot hamming distance 1 neighbours
+  k = 1;
+  ind = neighbour_indexes(vq2, k);
+  for i=1:length(ind)
+    plot([vq2(k,1) vq2(ind(i),1)],[vq2(k,2) vq2(ind(i),2)],'r-','linewidth', 2);
+  end
+  hold off;
+endfunction
+
+pkg load statistics
+%test_binary_switch;
+test_fast;
+%demo
+
diff --git a/octave/vq_compare.m b/octave/vq_compare.m
new file mode 100644
index 0000000..0a156c1
--- /dev/null
+++ b/octave/vq_compare.m
@@ -0,0 +1,349 @@
+% vq_compare.m
+% David Rowe Sep 2021
+%
+% Compare the Eb/No performance of Vector Quantisers (robustness to bit errors) using
+% Spectral Distortion (SD) measure.
+
+#{
+  usage:
+
+  1. Generate the initial VQ (vq_stage1.f32) and input test vector file (all_speech_8k_lim.f32):
+ 
+    cd codec2/build_linux
+    ../script/train_trellis.sh
+
+  2. Run the Psuedo-Gray binary switch tool to optimise the VQ against single bit errors:
+
+    ./misc/vq_binary_switch -d 20 vq_stage1.f32 vq_stage1_bs001.f32 -m 5000 --st 2 --en 16 -f
+
+    This can take a while, but if you ctrl-C at any time it will have saved the most recent optimised VQ.
+   
+  3. Run this script to compare the two VQs:
+
+    octave:34> vq_compare
+#}
+
+
+function vq_compare(action="run_curves", vq_fn, dec=1, EbNodB=3, in_fn, out_fn)
+  more off;
+  randn('state',1);
+  graphics_toolkit("gnuplot");
+  
+  if strcmp(action, "run_curves")
+    run_curves(30*100);
+  end
+  if strcmp(action, "vq_file")
+    vq_file(vq_fn, dec, EbNodB, in_fn, out_fn)
+  end
+endfunction
+
+
+% -------------------------------------------------------------------
+
+% converts a decimal value to a soft dec binary value
+function c = dec2sd(dec, nbits)
+    
+    % convert to binary
+
+    c = zeros(1,nbits);
+    for j=0:nbits-1
+      mask = 2.^j;
+      if bitand(dec,mask)
+        c(nbits-j) = 1;
+      end
+    end
+
+    % map to +/- 1
+
+    c = -1 + 2*c;
+endfunction
+
+% fast version of vector quantiser
+function [indexes target_] = vector_quantiser_fast(vq, target, verbose=1)
+  [vq_size K] = size(vq);
+  [ntarget tmp] = size(target);
+  target_ = zeros(ntarget,K);
+  indexes = zeros(1,ntarget);
+
+  % pre-compute energy of each VQ vector
+  vqsq = zeros(vq_size,1);
+  for i=1:vq_size
+    vqsq(i) = vq(i,:)*vq(i,:)';
+  end
+
+  % use efficient matrix multiplies to search for best match to target
+  for i=1:ntarget
+    best_e = 1E32;
+    e = vqsq - 2*(vq * target(i,:)');
+    [best_e best_ind] = min(e);
+    if verbose printf("best_e: %f best_ind: %d\n", best_e, best_ind), end;
+    target_(i,:) = vq(best_ind,:); indexes(i) = best_ind;
+  end
+endfunction
+
+
+% VQ a target sequence of frames then run a test using vanilla uncoded/trellis decoder
+function results = run_test(target, vq, EbNo, verbose)
+  [frames tmp]      = size(target);
+  [vq_length tmp]   = size(vq);
+  nbits             = log2(vq_length);
+  nerrors           = 0;
+  tbits             = 0;
+  nframes           = 0;
+  nper              = 0;
+  
+  % Vector Quantise target vectors sequence
+  [tx_indexes target_ ] = vector_quantiser_fast(vq, target, verbose);
+  % use convention of indexes starting from 0
+  tx_indexes -= 1; 
+  %  mean SD of VQ with no errors
+  diff = target - target_;
+  mse_noerrors = mean(diff(:).^2);
+  
+  % construct tx symbol codewords from VQ indexes
+  tx_codewords = zeros(frames, nbits);
+  for f=1:frames
+    tx_codewords(f,:) = dec2sd(tx_indexes(f), nbits);
+  end
+
+  rx_codewords = tx_codewords + randn(frames, nbits)*sqrt(1/(2*EbNo));
+  rx_indexes = zeros(1,frames);
+
+  for f=1:frames
+    tx_bits        = tx_codewords(f,:) > 0;
+    rx_bits        = rx_codewords(f,:) > 0;
+    rx_indexes(f)  = sum(rx_bits .* 2.^(nbits-1:-1:0));
+    errors         = sum(xor(tx_bits, rx_bits));
+    nerrors       += errors;
+    if errors nper++;, end
+    tbits += nbits;
+    nframes++;
+  end
+
+  EbNodB = 10*log10(EbNo);
+  target_ = vq(rx_indexes+1,:);
+  diff = target - target_;
+  mse = mean(diff(:).^2);
+  printf("Eb/No: %3.2f dB nframes: %3d nerrors: %4d BER: %4.3f PER: %3.2f mse: %3.2f %3.2f\n", 
+         EbNodB, nframes, nerrors, nerrors/tbits, nper/nframes, mse_noerrors, mse);
+  results.ber = nerrors/tbits;	 
+  results.per = nper/nframes;	 
+  results.mse_noerrors = mse_noerrors;
+  results.mse = mse;
+  results.tx_indexes = tx_indexes;
+  results.rx_indexes = rx_indexes;
+endfunction
+
+% VQ a target sequence of frames then run a test using a LDPC code
+function results = run_test_ldpc(target, vq, EbNo, verbose)
+  [frames tmp]      = size(target);
+  [vq_length tmp]   = size(vq);
+  nbits             = log2(vq_length);
+  nerrors           = 0;
+  tbits             = 0;
+  nframes           = 0;
+  nper              = 0;
+  
+  % init LDPC code
+  mod_order = 4; bps = 2;
+  modulation = 'QPSK';
+  mapping = 'gray';
+  max_iterations = 100; demod_type = 0; decoder_type = 0;
+  ldpc; init_cml();
+  tempStruct = load("HRA_56_56.txt");
+  b = fieldnames(tempStruct);
+  ldpcArrayName = b{1,1};
+  % extract the array from the struct
+  HRA = tempStruct.(ldpcArrayName);
+  [code_param framesize rate] = ldpc_init_user(HRA, modulation, mod_order, mapping);
+
+  % set up noise
+  EbNodB = 10*log10(EbNo);
+  EsNodB = EbNodB + 10*log10(rate) + 10*log10(bps);
+  EsNo = 10^(EsNodB/10);
+  variance = 1/EsNo;
+
+  % Vector Quantise target vectors sequence
+  [tx_indexes target_ ] = vector_quantiser_fast(vq, target, verbose);
+  % use convention of indexes starting from 0
+  tx_indexes -= 1; 
+  %  mean SD of VQ with no errors
+  diff = target - target_;
+  mse_noerrors = mean(diff(:).^2);
+
+  % construct tx frames x nbit matrix using VQ indexes
+  tx_bits = zeros(frames, nbits);
+  for f=1:frames
+    tx_bits(f,:) = dec2sd(tx_indexes(f), nbits) > 0;
+  end
+
+  % find a superframe size, that has an integer number of nbits and data_bits_per_frame frames
+  bits_per_superframe = nbits;
+  while mod(bits_per_superframe,nbits) || mod(bits_per_superframe,code_param.data_bits_per_frame)
+    bits_per_superframe += nbits;
+  end
+
+  Nsuperframes = floor(frames*nbits/bits_per_superframe);
+  Nldpc_codewords = Nsuperframes*bits_per_superframe/code_param.data_bits_per_frame;
+  frames = Nsuperframes*bits_per_superframe/nbits;
+  %printf("bits_per_superframe: %d Nldpc_codewords: %d frames: %d\n", bits_per_superframe, Nldpc_codewords, frames);
+  
+  % reshape tx_bits matrix into Nldpc_codewords x data_bits_per_frame
+  tx_bits = tx_bits(1:frames,:);
+  tx_bits_ldpc = reshape(tx_bits',code_param.data_bits_per_frame, Nldpc_codewords)';
+
+  % modulate tx symbols
+  tx_symbols = [];
+  for nn=1:Nldpc_codewords
+    [tx_codeword atx_symbols] = ldpc_enc(tx_bits_ldpc(nn,:), code_param);
+    tx_symbols = [tx_symbols atx_symbols];
+  end
+  
+  noise = sqrt(variance*0.5)*(randn(1,length(tx_symbols)) + j*randn(1,length(tx_symbols)));
+  rx_symbols = tx_symbols+noise;
+  
+  % LDPC decode  
+  for nn = 1:Nldpc_codewords
+    st = (nn-1)*code_param.coded_syms_per_frame + 1;
+    en = (nn)*code_param.coded_syms_per_frame;
+
+    arx_codeword = ldpc_dec(code_param, max_iterations, demod_type, decoder_type, rx_symbols(st:en), EsNo, ones(1,code_param.coded_syms_per_frame));
+    rx_bits_ldpc(nn,:) = arx_codeword(1:code_param.data_bits_per_frame);
+  end
+  
+  % reshape rx_bits_ldpc matrix into frames x nbits
+  rx_bits = reshape(rx_bits_ldpc',nbits,frames)';
+
+  rx_indexes = tx_indexes;
+  for f=1:frames
+    rx_indexes(f)  = sum(rx_bits(f,:) .* 2.^(nbits-1:-1:0));
+    errors         = sum(xor(tx_bits(f,:), rx_bits(f,:)));
+    nerrors       += errors;
+    if errors nper++;, end
+    tbits += nbits;
+    nframes++;
+  end
+
+  EbNodB = 10*log10(EbNo);
+  target_ = vq(rx_indexes+1,:);
+  diff = target - target_;
+  mse = mean(diff(:).^2);
+  printf("Eb/No: %3.2f dB nframes: %4d nerrors: %4d BER: %4.3f PER: %3.2f mse: %3.2f %3.2f\n", 
+         EbNodB, nframes, nerrors, nerrors/tbits, nper/nframes, mse_noerrors, mse);
+  results.ber = nerrors/tbits;	 
+  results.per = nper/nframes;	 
+  results.mse = mse;
+  results.tx_indexes = tx_indexes;
+  results.rx_indexes = rx_indexes;
+endfunction
+
+% Simulations ---------------------------------------------------------------------
+
+% top level function to set up and run a test with a specific vq
+function [results target_] = run_test_vq(vq_fn, target_fn, nframes=100, dec=1, EbNodB=3, ldpc_en=0, verbose=0)
+  K = 20; K_st=2+1; K_en=16+1;
+  
+  % load VQ
+  vq = load_f32(vq_fn, K);
+  [vq_size tmp] = size(vq);
+  vqsub = vq(:,K_st:K_en);
+  
+  % load sequence of target vectors we wish to VQ
+  target = load_f32(target_fn, K);
+
+  % limit test to the first nframes vectors
+  if nframes != -1
+    last = nframes;
+  else
+    last = length(target);
+  end
+  target = target(1:dec:last, K_st:K_en);
+  
+  % run a test
+  EbNo=10^(EbNodB/10);
+  if ldpc_en
+    results = run_test_ldpc(target, vqsub, EbNo, verbose);
+  else
+    results = run_test(target, vqsub, EbNo, verbose);
+  end
+  if verbose
+    for f=2:nframes-1
+      printf("f: %03d tx_index: %04d rx_index: %04d\n", f,  results.tx_indexes(f), results.rx_indexes(f));
+    end
+  end
+
+  % return full band vq-ed vectors
+  target_ = zeros(last,K);
+  target_(1:dec:last,:) = vq(results.rx_indexes+1,:);
+  
+  % use linear interpolation to restore original frame rate
+  for f=1:dec:last-dec
+    prev = f; next = f + dec;
+    for g=prev+1:next-1
+      cnext = (g-prev)/dec; cprev = 1 - cnext;
+      target_(g,:) = cprev*target_(prev,:) + cnext*target_(next,:);
+      %printf("f: %d g: %d cprev: %f cnext: %f\n", f, g, cprev, cnext);
+    end
+  end
+endfunction
+
+% generate sets of curves
+function run_curves(frames=100, dec=1)
+  target_fn = "../build_linux/all_speech_8k_lim.f32";
+  EbNodB = 0:5;
+
+  results1_ldpc_log = [];
+  for i=1:length(EbNodB)
+    results = run_test_vq("../build_linux/vq_stage1.f32", target_fn, frames, dec, EbNodB(i), ldpc_en=1, verbose=0);
+    results1_ldpc_log = [results1_ldpc_log results];
+  end
+  results4_ldpc_log = [];
+  for i=1:length(EbNodB)
+    results = run_test_vq("../build_linux/vq_stage1_bs004.f32", target_fn, frames, dec, EbNodB(i), ldpc_en=1, verbose=0);
+    results4_ldpc_log = [results4_ldpc_log results];
+  end
+
+  results1_log = [];
+  for i=1:length(EbNodB)
+    results = run_test_vq("../build_linux/vq_stage1.f32", target_fn, frames, dec, EbNodB(i), ldpc_en=0, verbose=0);
+    results1_log = [results1_log results];
+  end
+  results4_log = [];
+  for i=1:length(EbNodB)
+    results = run_test_vq("../build_linux/vq_stage1_bs004.f32", target_fn, frames, dec, EbNodB(i), ldpc_en=0, verbose=0);
+    results4_log = [results4_log results];
+  end
+  for i=1:length(results1_log)
+    ber(i) = results1_log(i).ber;
+    per(i) = results1_log(i).per;
+    mse_noerrors(i) = sqrt(results1_log(i).mse_noerrors);
+    mse_vq1(i) = sqrt(results1_log(i).mse);
+    mse_vq4(i) = sqrt(results4_log(i).mse);
+    mse_vq1_ldpc(i) = sqrt(results1_ldpc_log(i).mse);
+    mse_vq4_ldpc(i) = sqrt(results4_ldpc_log(i).mse);
+  end
+
+  figure(1); clf;
+  semilogy(EbNodB, ber, 'g+-;ber;','linewidth', 2); hold on;
+  semilogy(EbNodB, per, 'b+-;per;','linewidth', 2);
+  grid('minor'); xlabel('Eb/No(dB)');
+  hold off;
+  
+  figure(2); clf;
+  plot(EbNodB, mse_noerrors, "b+-;no errors;"); hold on;
+  plot(EbNodB, mse_vq1, "g+-;vanilla AWGN;");
+  plot(EbNodB, mse_vq4, "b+-;binary switch;");
+  plot(EbNodB, mse_vq1_ldpc, "r+-;ldpc (112,56);");
+  plot(EbNodB, mse_vq4_ldpc, "k+-;binary switch ldpc (112,56);");
+  load trellis_dec3_nstage3.txt
+  plot(EbNodB, rms_sd, "c+-;binary switch trellis dec3;");  
+  hold off; grid; title("RMS SD (dB)"); xlabel('Eb/No(dB)');
+endfunction
+
+
+function vq_file(vq_fn, dec, EbNodB, in_fn, out_fn)
+  [results target_] = run_test_vq(vq_fn, in_fn, nframes=-1, dec, EbNodB, verbose=0);
+  save_f32(out_fn, target_);
+endfunction
+
+
diff --git a/octave/vq_nm_xx_11_40_hpf150 b/octave/vq_nm_xx_11_40_hpf150
new file mode 100644
index 0000000..bc11f3c
--- /dev/null
+++ b/octave/vq_nm_xx_11_40_hpf150
@@ -0,0 +1,1615 @@
+# Created by Octave 4.0.0, Wed Jul 26 19:10:53 2017 ACST <david@penetrator>
+# name: vq
+# type: matrix
+# rows: 1608
+# columns: 30
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