diff options
| author | Author Name <[email protected]> | 2023-07-07 12:20:59 +0930 |
|---|---|---|
| committer | David Rowe <[email protected]> | 2023-07-07 12:29:06 +0930 |
| commit | ac7c48b4dee99d4c772f133d70d8d1b38262fcd2 (patch) | |
| tree | a2d0ace57a9c0e2e5b611c4987f6fed1b38b81e7 /octave/fdmdv_ut.m | |
shallow zip-file copy from codec2 e9d726bf20
Diffstat (limited to 'octave/fdmdv_ut.m')
| -rw-r--r-- | octave/fdmdv_ut.m | 362 |
1 files changed, 362 insertions, 0 deletions
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]); |
