-function phasenoise_AWGN(rolloff, M, numSymbs)
- %% Set defaults for inputs
- if nargin < 3
- numSymbs = 1000;
- end
- if nargin < 2
- M = 2;
- end
- if nargin < 1
- rolloff = 0.25;
- end
-
- plotted = 0;
-
- Rsym = 2.5e10; % symbol rate (sym/sec)
-
- span = 6; % filter span
- sps = 4; % samples per symbol
+numSymbs = 5e5;
+M = 4;
+rolloff = 0.5;
- fs = Rsym * sps; % sampling freq (Hz)
- Tsamp = 1 / fs;
+Rsym = 2.5e10; % symbol rate (sym/sec)
- t = (0 : 1 / fs : numSymbs / Rsym + (1.5 * span * sps - 1) / fs)';
+span = 6; % filter span
+sps = 4; % samples per symbol
+fs = Rsym * sps; % sampling freq (Hz)
+Tsamp = 1 / fs;
- EbN0_db = 0:0.2:14;
- EbN0 = 10 .^ (EbN0_db ./ 10);
+t = (0 : 1 / fs : numSymbs / Rsym + (1.5 * span * sps - 1) / fs).';
- Es = 1;
- Eb = Es / log2(M);
- N0 = Eb ./ EbN0;
- EsN0 = EbN0 .* log2(M);
- EsN0_db = 10 .* log10(EsN0);
+EbN0_db = 0:0.2:14;
+EbN0 = 10 .^ (EbN0_db ./ 10);
- plotlen = length(EbN0);
+Es = 1;
+Eb = Es / log2(M);
+N0 = Eb ./ EbN0;
- ber = zeros(1, plotlen);
+EsN0 = EbN0 .* log2(M);
+EsN0_db = 10 .* log10(EsN0);
+plotlen = length(EbN0);
- data = randi([0 M - 1], numSymbs, 1);
- modData = pskmod(data, M, 0, 'gray');
+ber = zeros(1, plotlen);
- x = txFilter(modData, rolloff, span, sps);
+data = randi([0 M - 1], numSymbs, 1);
+%%modData = dpskmod(data, M, pi / M, 'gray');
+modData = dpskmod(data, M, 0, 'gray');
- linewidthTx = 0;%1e5; % Hz
- linewidthLO = 1e6; % Hz
- %%linewidthTx = Rsym * 1e-4; % Hz
- %%linewidthLO = Rsym * 1e-3; % Hz
+x = txFilter(modData, rolloff, span, sps);
- totalIterations = 1;
+linewidthTx = 0; % Hz
+%%linewidthLO = 1e6; % Hz
+linewidthLO = Rsym * 1e-3;
- for iter = 1:totalIterations
- [xPN, pTxLO] = phaseNoise(x, linewidthTx, linewidthLO, Tsamp);
- for i = 1:plotlen
- snr = EbN0_db(i) + 10 * log10(log2(M)) - 10 * log10(sps);
- noiseEnergy = 10 ^ (-snr / 10);
+avgSa = 40;
- y = awgn(xPN, snr, 'measured');
- r = rxFilter(y, rolloff, span, sps);
- %% normalize energy
- %r = normalizeEnergy(r, numSymbs, 1 + noiseEnergy);
+[xPN, pTxLO] = phaseNoise(x, linewidthTx, linewidthLO, Tsamp);
- [rPhaseEq, phiests] = phaseNoiseCorr(r, M, 40 * sps);
+for i = 1:plotlen
+ snr = EbN0_db(i) + 10 * log10(log2(M)) - 10 * log10(sps);
+ noiseEnergy = 10 ^ (-snr / 10);
- rSampled = rPhaseEq(sps*span/2+1:sps:(numSymbs + span/2) * sps);
- demodData = pskdemod(rSampled, M, 0, 'gray')';
+ y = awgn(xPN, snr, 'measured');
- %%[bitErrors, ber(i)] = biterr(data, demodData);
- [zzz, thisBER] = biterr(data, demodData);
- ber(i) = ber(i) + thisBER / totalIterations;
+ r = rxFilter(y, rolloff, span, sps);
+ %% normalize energy
+ r = normalizeEnergy(r, numSymbs, 1 + noiseEnergy);
+ rSampled = r(sps*span/2+1:sps:(numSymbs+span/2)*sps);
+ [rSaPhEq, phiests] = phaseNoiseCorr(rSampled, M, avgSa);
- if plotted == 0 && EbN0_db(i) >6 && ber(i) > 1e-1
- plotted=1
- figure(1234);
- plot(-phiests);
- hold on;
- plot(pTxLO);
- legend('estimate', 'actual');
- hold off;
+ adaptiveFilterOut = adaptiveCMA(rSaPhEq.');
- figure(100);
- %plot(t(1:length(x)), real(x));
- %%plot(t, real(x(1:length(t))));
- length(t)
- length(x)
- hold on
- %%plot(t(1:length(xPhaseNoise)), real(xPhaseNoise));
+ demodData = dpskdemod(rSaPhEq, M, 0, 'gray').';
+ demodAdapt = dpskdemod(adaptiveFilterOut, M, 0, 'gray');
- plot(t, real(r), 'g')
+ [~, ber(i)] = biterr(data, demodData);
- sampledTimes = t(sps*span/2+1:sps:(numSymbs+span/2)*sps);
+ if EbN0_db(i) == 8
+ figure(1234);
+ plot(repelem(-phiests, sps));
+ hold on;
+ plot(pTxLO);
+ legend('estimate', 'actual');
+ hold off;
- plot(sampledTimes, real(rSampled), 'x')
- hold off
-
- end
-
- end
+ figure(1);
+ scatterplot(rSaPhEq);
+ title('rSaPhEq');
end
+end
- figure(1);
- clf;
+figure(1);
+clf;
- %% Plot simulated results
- semilogy(EbN0_db, ber, 'r', 'LineWidth', 2);
- hold on;
+%% Plot simulated results
+semilogy(EbN0_db, ber, 'r', 'LineWidth', 2);
+hold on;
- theoreticalPSK(EbN0_db, M, 'b', 'LineWidth', 1);
- legend({'Simulated phase noise', 'Without phase noise'}, 'Location', 'southwest');
+theoreticalPSK(EbN0_db, M, 'b', 'LineWidth', 1);
+legend({'Simulated phase noise + correction', 'Theoretical AWGN'}, ...
+ 'Location', 'southwest');
- title(strcat(num2str(M), '-PSK with phase noise and correction'));
- grid on;
- xlabel('$E_b/N_0$ (dB)');
- ylabel('BER');
- formatFigure;
-end
+title({'QPSK with phase nosie and correction', ...
+ strcat(num2str(numSymbs * log2(M) / 1e3), '~kbit, LO~', ...
+ num2str(linewidthLO / 1e6), '~MHz, Av~', num2str(avgSa), ...
+ '~Sa')});
+grid on;
+xlabel('$E_b/N_0$ (dB)');
+ylabel('BER');
+
+formatFigure;