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377 lines
10 KiB

% fsk_eme.m
% David Rowe July 2017
%
% FSK modem for digital voice over 1296 MHz Earth-Moon-Earth (EME) links
fsk_lib;
function run_sim(frames = 10, EbNodB = 100)
Fs = 8000; Rs = 8; M = 16; Fsep = 50;
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);
states = fsk_init(Fs, 50, M);
states.ftx = 1000 + Fsep*(-M/2:M/2-1);
% ----------------------------------------------------------------------
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);
% 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
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
g = 1000;
ftx=fopen("fsk_horus_tx.raw","wb"); txg = tx*g; fwrite(ftx, txg, "short"); fclose(ftx);
frx=fopen("fsk_horus_rx.raw","wb"); rxg = rx*g; fwrite(frx, rxg, "short"); fclose(frx);
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 = states.ftx;
[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];
states = ber_counter(states, test_frame, rx_bits_buf);
end
end
% print stats, count errors, decode packets ------------------------------------------
printf("frames: %d EbNo: %3.2f Tbits: %d Terrs: %d BER %4.3f\n", frames, EbNodB, states.Tbits,states. Terrs, states.Terrs/states.Tbits);
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 a file of 8kHz 16bit short samples --------------------------------
function rx_bits_log = demod_file(filename, test_frame_mode, noplot=0, EbNodB=100)
fin = fopen(filename,"rb");
more off;
%states = fsk_horus_init(96000, 1200);
if test_frame_mode == 4
% horus rtty config ---------------------
states = fsk_horus_init(8000, 100, 2);
uwstates = fsk_horus_init_rtty_uw(states);
states.ntestframebits = states.nbits;
end
if test_frame_mode == 5
% horus binary config ---------------------
states = fsk_horus_init(8000, 50, 4);
uwstates = fsk_horus_init_binary_uw;
states.ntestframebits = states.nbits;
end
states.verbose = 0x1 + 0x8;
if test_frame_mode == 6
% Horus high speed config --------------
states = fsk_horus_init_hbr(9600, 8, 1200, 2, 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_horus_init_hbr(8000, 10, 400, 4, 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
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 = [];
rx_bits_buf = zeros(1,nbit + states.ntestframebits);
% optional noise. Useful for testing performance of waveforms from real world modulators
EbNo = 10^(EbNodB/10);
ftmp = fopen(filename,"rb"); s = fread(ftmp,Inf,"short"); fclose(ftmp); tx_pwr = var(s);
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;
while (finished == 0)
% extract nin samples from input stream
nin = states.nin;
[sf count] = fread(fin, nin, "short");
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);
%states.f = [1450 1590 1710 1850];
[rx_bits states] = fsk_horus_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];
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
states = ber_counter_packet(states, test_frame, rx_bits_buf);
end
else
finished = 1;
end
end
fclose(fin);
if noplot == 0
printf("plotting...\n");
figure(1);
plot(f_log);
hold off;
figure(2);
plot(f_int_resample_log','+')
figure(3)
clf
subplot(211)
plot(norm_rx_timing_log)
axis([1 frames -0.5 0.5])
title('norm fine timing')
grid
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));
subplot(211)
plot(rx_nowave(1:states.Fs));
title('input signal to demod (1 sec)')
xlabel('Time (samples)');
axis([1 states.Fs -35000 35000])
% normalise spectrum to 0dB full scale with a 32767 sine wave input
subplot(212)
RxdBFS = 20*log10(abs(fft(rx_nowave(1:states.Fs)))) - 20*log10((states.Fs/2)*32767);
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');
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) || (test_frame_mode == 5)
extract_and_print_rtty_packets(states, rx_bits_log, rx_bits_sd_log)
corr_log = extract_and_decode_binary_packets(states, rx_bits_log);
figure(8);
clf
plot(corr_log);
hold on;
plot([1 length(corr_log)],[states.binary.uw_thresh states.binary.uw_thresh],'g');
hold off;
title('UW correlation');
end
endfunction
% Start simulations here -------------------------------------------------------------
more off; format;
%run_sim(1, 2, 100, 9);
run_sim(10, 20);