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How to plot cross-ambiguity function of this binary sequence?

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Basmah Ahmad
Basmah Ahmad am 20 Jan. 2024
Beantwortet: Hassaan am 20 Jan. 2024
Hi
I want to plot cross-ambiguity function of this following sequence:
kasamiseq = comm.KasamiSequence('Polynomial',[6 5 4 1 0], ...
'InitialConditions',[ 0 0 0 0 0 1],'SamplesPerFrame', 63);
kasami_code = kasamiseq();
The parameters are PRF =50000, Sampling frequency = 100e+06.
Please guide me how to plot it.

Akzeptierte Antwort

Hassaan
Hassaan am 20 Jan. 2024
% Parameters
PRF = 50000; % Pulse Repetition Frequency
Fs = 100e6; % Sampling Frequency
N = 63; % Length of Kasami sequence
% Generate a dummy Kasami sequence (random binary sequence)
kasami_code = 2 * (randi([0 1], 1, N) - 0.5);
% Time axis
t = (0:N-1) / Fs;
% Define delays and Doppler shifts for the cross-ambiguity function
delays = -N:N;
doppler_shifts = linspace(-PRF/2, PRF/2, 100);
% Initialize cross-ambiguity matrix
cross_ambiguity = zeros(length(delays), length(doppler_shifts));
% Compute cross-ambiguity function
for i = 1:length(delays)
for j = 1:length(doppler_shifts)
% Shift and Doppler shift the Kasami code
shifted_code = circshift(kasami_code, [0, delays(i)]) .* exp(-1i * 2 * pi * doppler_shifts(j) * t);
% Correlate with the original Kasami code
correlation = xcorr(kasami_code, shifted_code);
cross_ambiguity(i, j) = abs(correlation(floor(length(correlation)/2)));
end
end
% Plotting
imagesc(doppler_shifts, delays, abs(cross_ambiguity));
colorbar;
xlabel('Doppler Shift (Hz)');
ylabel('Delay (samples)');
title('Cross-Ambiguity Function of Kasami Sequence');
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It's important to note that the advice and code are based on limited information and meant for educational purposes. Users should verify and adapt the code to their specific needs, ensuring compatibility and adherence to ethical standards.
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