function passband(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 %% https://www.mathworks.com/help/comm/examples/passband-modulation-with-adjacent-channel-interference.html Rsym = 2.5e10; % symbol rate (sym/sec) span = 6; % filter span sps = 4; % samples per symbol fs = Rsym * sps; % sampling freq (Hz) t = (0 : 1 / fs : numSymbs / Rsym + (1.5 * span * sps - 1) / fs)'; 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'); xBaseband = txFilter(modData, rolloff, span, sps); fc = 1e12; % Carrier freq (Hz) carrier = sqrt(2) * exp(j * 2 * pi * fc * t); xPassband = xBaseband .* carrier(1:length(xBaseband)); for i = 1:plotlen snr = EbN0_db(i) + 10 * log10(log2(M)) - 10 * log10(sps); noiseEnergy = 10 ^ (-snr / 10); yPassband = awgn(xPassband, snr, 'measured'); yLO = yPassband .* conj(carrier(1:length(yPassband))); rBaseband = rxFilter(yLO, rolloff, span, sps); rSampled = rBaseband(sps*span/2+1:sps:(numSymbs + span/2) * sps); demodData = pskdemod(rSampled, M, 0, 'gray'); [bitErrors, ber(i)] = biterr(data, demodData); end figure(1); clf; %% Plot simulated results semilogy(EbN0_db, ber, 'r', 'LineWidth', 2); hold on; theoreticalPSK(EbN0_db, M, 'b', 'LineWidth', 1); legend('Simulated RRC', 'Discrete'); title(strcat(num2str(M), '-PSK RRC with Gray code')); grid on; xlabel('$E_b/N_0$ (dB)'); ylabel('BER'); formatFigure; end