Initial commitHEAD master

* codec2 cut-down version 1.2.0 * Remove codebook and generation of sources * remove c2dec c2enc binaries * prepare for emscripten
author: Marin Ivanov <[email protected]> 2025-07-25 10:17:14 +0300
committer: Marin Ivanov <[email protected]> 2026-01-18 20:09:26 +0200
commit: 0168586485e6310c598713c911b1dec5618d61a1 (patch)
tree: 6aabc2a12ef8fef70683f5389bea00f948015f77 /octave
79 files changed, 23429 insertions, 0 deletions
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
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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/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/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..434f262
--- /dev/null
+++ b/octave/channel_lib.m
@@ -0,0 +1,72 @@
+% channel_lib.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/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/crc16.m b/octave/crc16.m
new file mode 100644
index 0000000..bf1e29b
--- /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/esno_est.m b/octave/esno_est.m
new file mode 100644
index 0000000..590208c
--- /dev/null
+++ b/octave/esno_est.m
@@ -0,0 +1,147 @@
+% esno_est.m
+% David Rowe Mar 2017
+%
+% Functions for estimating 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/fdmdv.m b/octave/fdmdv.m
new file mode 100644
index 0000000..f13aa26
--- /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 been 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/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/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/gp_interleaver.m b/octave/gp_interleaver.m
new file mode 100644
index 0000000..c97af0f
--- /dev/null
+++ b/octave/gp_interleaver.m
@@ -0,0 +1,59 @@
+% 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;
+
+% return 1 if prime
+function ret = is_prime(x)
+  for i=2:x-1
+    if mod(x,i) == 0
+      ret = 0;
+      return;
+    end
+  end
+  ret = 1;
+end
+
+function x = next_prime(x)
+  x++;
+  while is_prime(x) == 0
+    x++;
+  end
+end
+
+% 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)
+  b = floor(Nbits/1.62);
+  b = next_prime(b);
+  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/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_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/ldpc.m b/octave/ldpc.m
new file mode 100644
index 0000000..e9d6ede
--- /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 unused 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..fea8a97
--- /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/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_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/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/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/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/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..38c0248
--- /dev/null
+++ b/octave/ofdm_helper.m
@@ -0,0 +1,273 @@
+% 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  Duration (incl post/preamble): %4.2f s\n",
+         Nbitsperpacket*Fs/(Np*Nsamperframe), (Np+2)*Ns*(Tcp+1/Rs));
+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..08d9866
--- /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);
+
+  % 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..1cdcef5
--- /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);
+
+  % 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..e4ae35a
--- /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") || strcmp(mode,"datac14")
+    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..d88f960
--- /dev/null
+++ b/octave/ofdm_mode.m
@@ -0,0 +1,269 @@
+% 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,"datac14")
+    Ns=5; config.Np=4; Tcp = 0.005; Ts = 0.018; 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 = 0.45;
+    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*300E3; config.clip_gain1 = 2; config.clip_gain2 = 1;
+    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, "datac14")
+    load HRA_56_56.txt
+    code_param = ldpc_init_user(HRA_56_56, modulation, mod_order, mapping);
+    code_param.data_bits_per_frame = 40;
+    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") ...
+     || strcmp(mode, "datac14")
+    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..6dbe8f6
--- /dev/null
+++ b/octave/ofdm_rx.m
@@ -0,0 +1,253 @@
+% 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 detection:
+    
+       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 ----------------------------------------------------------------
+
+  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);
+        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/plamp.m b/octave/plamp.m
new file mode 100644
index 0000000..c7a1291
--- /dev/null
+++ b/octave/plamp.m
@@ -0,0 +1,178 @@
+% plamp.m
+% Plot ampltiude modelling information from c2sim dump files.
+
+function plamp(samname, f, epslatex=0)
+
+  plot_sw = 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
+
+  ew_name = strcat(samname,"_ew.txt");
+  if (file_in_path(".",ew_name))
+    Ew = load(ew_name);
+  endif
+
+  E_name = strcat(samname,"_E.txt");
+  if (file_in_path(".",E_name))
+    E = load(E_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
+  pwb_name = strcat(samname,"_pwb.txt");
+  if (file_in_path(".",pwb_name))
+    Pwb = load(pwb_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
+
+  if epslatex, [textfontsize linewidth] = set_fonts(); end
+
+  k = ' ';
+  do
+    figure(1); clf;
+    clf;
+    s = [ Sn(2*f-1,:) Sn(2*f,:) ];
+    plot(s,'b');
+    axis([1 length(s) -30000 30000]);
+    xlabel('Time (samples)'); ylabel('Amplitude');
+    
+    figure(2); clf;
+    Wo = model(f,1);
+    L = model(f,2);
+    Am = model(f,3:(L+2));
+    plot((1:L)*Wo*4000/pi, 20*log10(Am),"+-r");
+    axis([1 4000 -10 80]);
+    hold on;
+    if plot_sw
+      plot((0:255)*4000/256, Sw(f,:),"b");
+    end
+    hold off; grid minor;
+    ylabel ('Amplitude (dB)'); xlabel('Frequency (Hz)');
+    
+    figure(3); clf;
+    hold on;
+    plot((0:255)*4000/256, Sw(f,:),"b");
+    plot((1:L)*Wo*4000/pi, 20*log10(Am),"+-r");
+    plot((0:255)*4000/256, E(f)+10*log10(Pwb(f,:)),"g");
+    plot(lsp(f,:)*4000/pi, 75,"g+");
+    hold off; grid minor;
+    axis([1 4000 -10 80]);
+    ylabel ('Amplitude (dB)'); xlabel('Frequency (Hz)');
+
+    figure(4); clf;
+    hold on;
+    plot((0:255)*4000/256, E(f)+10*log10(Pwb(f,:)),"g");
+    plot((0:255)*4000/256, 10*log10(Pw(f,:)),"r");
+    hold off; grid minor;
+    axis([1 4000 -10 80]);
+    ylabel ('Amplitude (dB)'); xlabel('Frequency (Hz)');
+
+    % print EPS file
+
+    if epslatex
+      sz = "-S300,200";
+      figure(1);
+      fn = sprintf("%s_%d_sn.tex",samname,f);
+      print(fn,"-depslatex",sz); printf("\nprinting... %s\n", fn);
+
+      % file of points to plot in sinusoidal model
+      fn = sprintf("%s_%d_sn.txt",samname,f);
+      t_length = 4; s_max = 2; s=s*s_max/max(abs(s));
+      N = length(s); t = (0:N-1)*t_length/N;
+      s_save = [t' s']; size(s_save)
+      save("-ascii",fn,"s_save"); printf("printing... %s\n", fn);
+      
+      figure(2);
+      fn = sprintf("%s_%d_sw.tex",samname,f);
+      print(fn,"-depslatex",sz); printf("printing... %s\n", fn);
+   
+      figure(3);
+      fn = sprintf("%s_%d_lpc_lsp.tex",samname,f);
+      print(fn,"-depslatex",sz); printf("printing... %s\n", fn);
+   
+      figure(4);
+      fn = sprintf("%s_%d_lpc_pf.tex",samname,f);
+      print(fn,"-depslatex",sz); printf("printing... %s\n", fn);
+   
+     restore_fonts(textfontsize,linewidth);
+    endif
+
+    % interactive menu
+
+    printf("\rframe: %d  menu: n-next  b-back  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
+
+  until (k == 'q')
+  printf("\n");
+
+endfunction
+
+function [textfontsize linewidth] = set_fonts(font_size=12)
+  textfontsize = get(0,"defaulttextfontsize");
+  linewidth = get(0,"defaultlinelinewidth");
+  set(0, "defaulttextfontsize", font_size);
+  set(0, "defaultaxesfontsize", font_size);
+  set(0, "defaultlinelinewidth", 0.5);
+end
+
+function restore_fonts(textfontsize,linewidth)
+  set(0, "defaulttextfontsize", textfontsize);
+  set(0, "defaultaxesfontsize", textfontsize);
+  set(0, "defaultlinelinewidth", linewidth);
+end
+
+function print_eps_restore(fn,sz,textfontsize,linewidth)
+  print(fn,"-depslatex",sz);
+  printf("printing... %s\n", fn);
+  restore_fonts(textfontsize,linewidth);
+end
+
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/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/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/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/snr_curves_plot.m b/octave/snr_curves_plot.m
new file mode 100644
index 0000000..8baafe0
--- /dev/null
+++ b/octave/snr_curves_plot.m
@@ -0,0 +1,267 @@
+% 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(mode,"datac14") Rb=58; 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','datac14','awgn','ko-')
+  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-')
+  per_v_snr('ctxc','datac14','mpp','kx-')
+  xlabel('SNR (dB)'); ylabel('PER'); grid;
+  hold off;
+  axis([-10 14 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','datac14','awgn','ko-')
+  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-')
+  thruput_v_snr('ctxc','datac14','mpp','kx-')
+  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..2ba49ac
--- /dev/null
+++ b/octave/tcohpsk.m
@@ -0,0 +1,745 @@
+% tcohpsk.m
+% David Rowe Oct 2014
+%
+% Octave coherent PSK modem script that has 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 = 0;      % 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;
+
+if fading_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);
+end
+
+% 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/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/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 
+  6.5871   8.0443   8.4339  11.3345  17.3665  13.4455   6.9211   2.0512  -0.7348  -1.2898   1.0076   8.4862  -0.3360  -6.4714  -5.9432  -4.1602 -12.1155 -12.4645 -10.9269 -29.2355 
+ 19.0066  20.3716  18.0417   9.4806   4.8058   0.3359  -4.1091  -8.1930  -8.9962  -9.7495 -13.2924  -8.6275  -4.9424   6.0502  -6.8142  -7.1166  -3.0922   8.8016   5.6937 -17.6547 
+  4.7309  -6.5949   4.9914   7.3489   9.0188   4.1567   7.1949   0.4917   5.0462   7.5219   1.5314 -15.3803   5.3130  -0.0983  -7.0327  -1.2671  -0.4646  -1.6442  -0.7446 -24.1190 
+ 13.7639   5.1424   5.3193   3.8945   3.9574   1.4034   0.1896  -4.0608  -2.5264  -4.9434   2.8459   2.6311  -2.7915  -3.7842  -0.3711   0.5487   5.3766  -4.3496  -3.2801 -18.9656 
+ 12.6752  14.7799  16.2157  18.6944  14.1390   7.0937   3.8206  -2.4778  -3.9766  -4.4531  -2.8711   3.2148   0.6800  -9.1748 -10.1600  -6.0557  -0.8581  -9.2828 -14.0109 -27.9924 
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+ -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 
+  0.8836   0.6632  -0.5682   1.0909   1.0200   0.2143   1.7898   0.4314  -1.2105  -1.6888  -2.8939   1.5904   1.4323   5.0287  -2.4090  -2.6282  -1.2927  -1.8499  -3.8726   4.2691 
+  2.7571   0.5054   0.5914  -0.4593  -1.9535  -2.8534  -5.1043  -5.0146   0.3167   1.9210   1.9920   1.2596   1.2329  -1.0134  -2.2148  -0.9619   3.3405   0.4893   1.9185   3.2509 
+ -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 
+  1.5686   1.2169  -0.6391  -2.6751  -3.0325  -3.9104  -2.5516  -0.9763   6.3909  -1.3255   1.3817   1.7409   2.2064   2.8908   0.3118   0.3554   0.3092  -0.0695  -2.5566  -0.6363 
+  1.1784   0.7886   1.7506   3.8841   0.1097  -3.4846  -1.1668  -0.2517  -0.3004  -0.0493   2.0270   0.2092   1.5440   3.4255   0.2943  -0.8517  -1.6072  -4.0976  -5.8976   2.4958 
+  0.9988   2.8848   3.2891   3.3681   1.4676   3.2906   1.3735   1.1970   0.4611  -0.5875   1.7464   0.9583   0.5681  -1.4825  -4.2976  -3.2226  -2.3712  -7.0782  -2.8558   0.2917 
+ -0.2746  -0.1545  -0.1213  -1.7658  -0.9647  -0.8990  -2.2776  -1.6043   2.1487   5.2377  -7.3002  -1.2976   0.8951   2.6087   1.9104   0.8944   4.2107   2.4289  -0.6124  -3.0624 
+  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 
+  0.0226  -1.9088  -4.1034  -3.5139   1.8311   6.6465   1.9042  -0.2585   0.4811  -1.3603  -0.8669  -2.6469  -2.4021  -2.3699  -1.0708   1.8059   0.3697   0.3642   3.4726   3.6036 
+  1.8666   0.3455  -0.4415   1.4530   2.1752   0.4141   0.9988   0.9339   2.0369   0.0808  -1.3138  -1.2683   0.1032   0.3074   0.3794  -2.2480  -4.4451  -2.7006   1.2456   0.0770 
+ -0.9714   0.8948  -0.5528  -1.5023  -2.1884  -1.6190  -2.6643   0.3765   5.2588   1.9474   4.7336   6.0668   0.9206  -6.1173   0.2687   4.2344  -2.7801   4.7836  -5.9468  -5.1428 
+ -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 
+  2.3099  -0.6833  -2.4051  -0.8700  -0.1793  -0.7055  -1.1773   0.0766  -2.2742  -3.5734  -2.1986   0.6775   0.1605   0.0083   4.2284   1.3025   3.7892  -0.0746  -0.9582   2.5465 
+  0.9486   0.1048   1.8316   3.4918   2.1758   1.1342   1.0848   2.4632   0.0993  -1.9453  -1.1703  -1.6274  -2.0353   0.8991   0.4736  -4.0911  -2.9565  -2.3552  -2.1133   3.5874 
+  0.6208   3.4997   6.2697   4.2107   1.2652   2.1894   1.1355  -2.5271  -2.9525   0.0535   0.3829  -2.5199  -2.9063  -2.7287  -1.9607   1.4600   1.2748   0.4400  -4.8467  -2.3602 
+  0.5243   2.9289   2.2684   0.4191  -2.1542  -0.2881  -0.2706   0.6758   5.4475   1.1883  -2.5477  -6.5024  -4.1506   0.6656   0.9576  -1.2352   1.0736  -4.8441   2.5699   3.2741 
+ -0.7794   1.1463   3.5016   1.1120   0.8485  -1.0628  -0.8132   3.8405  -0.3344   1.2653   0.4357   0.5494  -2.5741  -2.4964  -3.4166  -4.9706   4.8271  -4.7341   1.1838   2.4711 
+  1.8447   1.0979  -1.7573   0.3863  -0.5133  -3.1578   0.0583  -0.5417   4.1974  -4.6030   0.1241  -3.2329   4.6242  -4.6647  -2.4610   0.5959   3.2183  -1.2626   5.6612   0.3859 
+ -2.3894  -1.0328   1.7896   5.5648   5.2220   1.8869   1.0956  -0.1977   3.2983   0.9466  -2.0813  -0.1679  -0.5816  -0.1714  -2.7510   1.1951   1.5496   1.6400  -5.0073  -9.8080 
+  0.7738  -1.7298  -3.2257  -0.3183   1.9284   1.7227   0.8166   0.9095   0.5332  -0.5016  -1.2660  -1.9608   2.0035  -2.6922   3.7039   0.8905  -0.7247   2.7531  -3.0591  -0.5571 
+ -0.0748  -0.5070  -0.2516   1.7723   1.4041   4.3520   1.7022   1.0990  -1.4641  -2.3620   3.1174   0.5476   1.5192  -1.9294  -4.9678   0.2919  -3.1451   1.3976  -0.5997  -1.9017 
+ -0.3043  -4.5751  -6.4864  -2.8079   2.8553   1.4264  -0.6290   0.8259   1.1617  -0.8255  -1.1913  -0.9336  -0.8179  -0.6841   2.7254   1.9190   4.4832   2.4919   2.0452  -0.6788 
+  2.9368   3.5644   3.7164   3.7726   0.3148  -2.5071  -1.0177   0.4365   0.4818  -2.1099  -3.0728  -1.1823  -1.8323  -2.5460  -3.2217  -2.5081   0.1068  -0.3340   2.0018   3.0001 
+  2.0122  -0.8437  -0.0894  -3.5669   0.2151   1.3672  -1.1852   2.2748   0.2674   2.1266  -4.5961  -3.5181   1.6410   4.2095  -4.0873   0.0362   3.5548  -2.6567   1.8468   0.9915 
+ -2.9528   1.3693   1.3737   3.6447   4.6399   3.0004  -0.4081  -0.5069  -2.0885  -2.1563   0.7639   0.4790  -2.4821   1.6495   0.8280  -0.4457  -4.8607   3.5285   3.1896  -8.5655 
+ -4.4449  -2.6584  -0.3396   2.7055   3.1313   2.6691  -0.1405  -2.6920   1.1380   5.9263   0.1508  -2.5031  -2.5963  -2.2339  -0.4387   2.7348   0.1166  -2.0958  -0.1884   1.7591 
+ -0.4506  -2.2585  -2.0183  -1.2141   2.3804   5.1371  -0.1012   0.7185  -1.9558  -5.5843   1.7274   2.5676   1.3295  -2.3148   3.4722   0.9168   0.3809  -1.2468  -0.6805  -0.8055 
+ -0.5741  -1.3187  -1.6054  -1.8387  -3.0009  -2.2631   1.6411   1.0542   0.8630   1.3059   0.6660   0.5171  -0.9355  -1.8837   0.8703   0.3850  -0.0855   0.2754   4.4605   1.4674 
+  4.0853   2.9178   0.0251  -1.7053  -2.9819  -2.0918  -1.9947  -0.8293  -0.6373   0.5052   2.1796   2.6733  -1.7046  -0.6344   1.3620  -0.4864  -2.0884  -1.6708   1.5012   1.5754 
+ -1.5635   2.8252  -0.9149  -3.0463  -4.7327   2.7084   1.1209   0.7968   0.7865  -1.2527  -0.1248   2.6941   2.7972   2.2336  -0.0652  -0.4532  -2.9265  -0.0560  -0.4324  -0.3945 
+  2.4620   0.7164  -1.5674  -3.1513  -1.6402   2.4149   2.9010   2.5761   3.2262   0.0749  -4.5314  -3.4112   0.2922   1.0743   0.0408  -1.5976  -0.5032   0.6577   0.7598  -0.7940 
+  1.9710   1.1730  -0.6838  -2.2094  -1.9356   1.4952  -2.0825  -0.2927   0.7657  -1.8337   4.4472  -3.8324   0.7557   0.0732  -3.6271  -1.9071   4.3140   2.4552  -0.0317   0.9857 
+  3.7325   2.7934   1.0157  -1.7096  -2.8454  -1.8953  -0.7562   0.3146  -0.3781  -1.0020  -1.6158  -0.3984  -0.0573   0.9972   1.0112  -1.0599   0.0370   3.6124   1.1087  -2.9047 
+ -1.4832  -1.9899  -0.8731  -0.9330  -2.9066   2.3820  -0.1603  -0.7170  -1.1285  -0.9274   2.1578   6.4011  -1.6535   2.3099  -1.6654   3.7268   0.0883  -1.8527  -0.5184  -0.2568 
+  0.6353   1.3687   1.8257   0.3226  -0.8766   1.0000   1.0853   1.2934   0.8779   1.7553   1.1543  -2.0442  -1.6763  -0.4593   0.9294  -1.2072  -2.2593  -0.6144  -2.8074  -0.3032 
+ -1.2070  -1.3475  -1.8312  -1.7806  -2.9611  -3.1818   2.9332  -0.1240   0.1906   2.9202  -1.8371   1.0525  -2.0319   2.7074  -2.1979  -1.3072  -0.5591   3.0013   2.6600   4.9011 
+ -5.1303   3.3870  -3.7967  -1.9466  -5.3864  -1.1368  -0.5684   3.7351  -0.5755  -3.2378  -4.4250   2.0350   3.9372   5.4701  -2.7768   5.9464   6.6849  -3.7875   1.9948  -0.4230 
+ -1.3037  -1.9678  -3.1520  -1.4018   0.2092   2.8010   2.0760  -0.3324   1.0911   0.9050   1.7187   3.4255   1.0022   3.5722  -3.5224  -4.7658  -1.0745   0.2766   1.2898  -0.8471 
+  1.9772  -2.9635  -3.0240  -2.2547   0.1703   1.7771  -1.6073  -3.1859   1.5410   1.4356   0.9203   3.9297   4.2495   5.7007  -4.0193  -0.8612   1.6423   0.8844  -5.1605  -1.1517 
+  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 
+  2.6190   1.9162   0.9769  -0.1078  -0.4290  -0.3650  -2.8284  -4.4494  -5.9910  -4.8405   0.7110  -0.4595   0.2195   3.3942   0.9527  -1.8867   3.8742   3.7699   1.2150   1.7087 
+  1.8829   0.7201   0.6607  -0.0626  -1.1940  -1.4411  -0.0944   0.1172  -0.7491  -0.3712  -2.5287  -2.1899  -1.2280  -1.4906  -0.5689  -1.4885   2.7842   4.0586  -1.1367   4.3200 
+  4.6710   0.9897  -0.6156  -0.6851  -1.4120   4.1532   4.4321   1.1339  -1.0985   0.5736   1.4085  -4.6356  -3.3117  -1.5968  -3.4345  -0.7293  -0.0528  -0.3096  -3.6684   4.1880 
+ -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 
+  0.4962   3.2227   3.5953   1.3395  -3.4218  -4.9933  -1.9981   0.9513  -1.0998  -2.7535   1.3298  -0.6976   0.0716   0.7392   5.8854  -4.3047   2.1890   1.9699  -2.4444  -0.0765 
+ -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
author	Marin Ivanov <[email protected]>	2025-07-25 10:17:14 +0300
committer	Marin Ivanov <[email protected]>	2026-01-18 20:09:26 +0200
commit	0168586485e6310c598713c911b1dec5618d61a1 (patch)
tree	6aabc2a12ef8fef70683f5389bea00f948015f77 /octave