+++ /dev/null
-function RRC_PSK_BER_SNR(rolloff, M, numSymbs)
- %% Set defaults for inputs
- if nargin < 3
- numSymbs = 1000;
- end
- if nargin < 2
- M = 2;
- end
- if nargin < 1
- rolloff = 0.5;
- end
-
- if isOctave()
- pkg load communications
- end
-
- %% https://www.mathworks.com/help/signal/ref/rcosdesign.html
- %% https://www.mathworks.com/help/comm/ug/pulse-shaping-using-a-raised-cosine-filter.html
- span = 6; % filter span
- sps = 4;
-
- rrcFilter = rcosdesign(rolloff, span, sps, 'sqrt');
-
- EbN0_db = 0:0.2:10;
- EbN0 = 10 .^ (EbN0_db ./ 10);
-
- Es = 1;
- Eb = Es / log2(M);
- N0 = Eb ./ EbN0;
-
- EsN0 = EbN0 .* log2(M);
- EsN0_db = 10 .* log10(EsN0);
-
- plotlen = length(EbN0);
-
- ber = zeros(1, plotlen);
-
- data = randi([0 M - 1], numSymbs, 1);
- modData = pskmod(data, M, 0, 'gray');
-
- txSig = upfirdn(modData, rrcFilter, sps);
-
- for i = 1:plotlen
- snr = EbN0_db(i) + 10 * log10(log2(M));% - 10 * log10(sps); % why sps?
- rxSig = awgn(txSig, snr);
-
- rxFilt = upfirdn(rxSig, rrcFilter, 1, sps);
- rxFilt = rxFilt(span + 1 : end - span); % remove filter delay
-
- demodData = pskdemod(rxFilt, M, 0, 'gray');
-
- [bitErrors, ber(i)] = biterr(data, demodData);
- end
-
- fig1 = figure(1);
- clf;
-
- %% Plot simulated results
- semilogy(EbN0_db, ber, 'r', 'LineWidth', 2);
- hold on;
-
- %% Plot theoretical curve
- %% BPSK: bit error when noise Nr > sqrt(Eb)
- %% Pr(Nr > sqrt(Eb))
- %% = Pr(Z > sqrt(Eb) / sqrt(N0/2))
- %%
- %% QPSK = 2 BPSKs, one real and one imaginary, each with one bit
- %% so BER is the same as BPSK (assuming Gray code)
- if M == 2 || M == 4
- ber_th = qfunc(sqrt(2 * EbN0));
- semilogy(EbN0_db, ber_th, 'b', 'LineWidth', 1);
- legend('Simulated RRC', 'Discrete');
- else
- %% Approximation: J.G. Proakis and M. Salehi, 2000, Contemporary
- %% Communication Systems using MATLAB (Equations
- %% 7.3.18 and 7.3.19), Brooks/Cole.
- ber_ap = 2 * qfunc(sqrt(EbN0 * log2(M) * 2) * sin(pi / M)) / log2(M);
- semilogy(EbN0_db, ber_ap, 'b', 'LineWidth', 1);
- legend('Simulated RRC', 'Discrete');
- end
-
- title(strcat(num2str(M), '-PSK RRC with Gray code'));
- grid on;
- xlabel('$E_b/N_0$ (dB)');
- ylabel('BER');
-
- formatFigure;
- %saveas(gcf, strcat('BER_SNR_', num2str(M), 'PSK_', num2str(numSymbs), ...
- % '.svg'));
-
- %scatterplot(rxFilt);
- %eyediagram(rxFilt, sps);
-
-end