CPFSK demodulator performance in MATLAB example with enabling modulation index

Question

Jay 2023-10-10

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2031784-cpfsk-demodulator-performance-in-matlab-example-with-enabling-modulation-index

评论： Jay 2023-12-6

I've been checking CPFSK performance against various modulation indices and SNR.

MATLAB has nice examples in comm.CPFSKModulator. Here is the example code with enabling "modulation index" property and few changes to creates the plot (Default "modulation index" is 0.5). From the result, I noticed that there are always high error rate with the "modulation index" other than 0.5 which doesn't seem CPFSK to be usable. Since I'm just copying the example code with modifying "modulation index" parameter, I'm wondering if this is real CPFSK performance or not.. Since different "modulation index" could be used, I have feeling that I made mistake in the code below but could not locate it. Or did I use the function incorrectly?

The attached plot shows error rates for different modulation indices and SNR and the code which generated the plot.

rng(1000);

M = 2; % In power of 2

h = [0.25 0.5 0.75 1.0];

snr = (-10:1:20);

Len_h = length(h);

Len_snr = length(snr);

ser = zeros(Len_h, Len_snr);

for ind_h = 1:Len_h

cpfskMod = comm.CPFSKModulator(...

M, ...

BitInput=true, ...

SymbolMapping="Binary", ...

ModulationIndex=h(ind_h));

for ind_snr = 1:Len_snr

awgnChan = comm.AWGNChannel( ...

NoiseMethod="Signal to noise ratio (SNR)", ...

SNR = snr(ind_snr));

cpfskDemod = comm.CPFSKDemodulator(...

M, ...

BitOutput=true, ...

SymbolMapping="Binary");

numFrames = 1000;

k = log2(M);

spf = 100;

delay = log2(M)*cpfskDemod.TracebackDepth;

errorRate = comm.ErrorRate(...

ReceiveDelay=delay);

for counter = 1:numFrames

data = randi([0 1], k*spf, 1);

modSignal = cpfskMod(data);

noisySignal = awgnChan(modSignal);

receivedData = cpfskDemod(noisySignal);

errorStats = errorRate(data, receivedData);

end

ser(ind_h, ind_snr) = errorStats(1);

end

for i=1:Len_h

semilogy(snr, ser(i, :), 'LineWidth',2);

hold on;

end

legend('h=0.25', 'h=0.5', 'h=0.75', 'h=1.0');

xlabel('SNR');

ylabel('Symbol Error Rate');

hold off;

grid on;

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Answer 1

Jay 2023-10-11

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2031784-cpfsk-demodulator-performance-in-matlab-example-with-enabling-modulation-index#answer_1331139

This is self-answering - I found the reason why the error rates are strange other than "modulation index" of 0.5. CPFSKDemodulator also requires to have the "modulation index" parameter like in CPFSKModulator, so that Modulator and Demodulator have the same "modulation index". In my original code, I set CPFSKModulator with "modulation index" but not in CPFSKDemodulator which causes the strange SNR curves other than the modulation index of 0.5. After fixing this, I got fairely reasonable plots.