How to convert binary sequence into phased waveform?

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I want to convert this following sequence :
Goldseq = comm.GoldSequence('FirstPolynomial','x^6+x^5+1', 'FirstInitialConditions',[ 0 0 0 0 0 1], 'SecondPolynomial','x^6+x^5+x^4+x+1', 'SecondInitialConditions',[0 0 0 0 0 1], 'Index',1, 'SamplesPerFrame',63);
into the phased waveform like shown below:
sWF = phased.RectangularWaveform('SampleRate',fs,'PulseWidth',1e-4,'PRF',5000.0);

回答(1 个)

Hassaan
Hassaan 2024-1-19
% Define the Gold sequence generator with the specified polynomials and initial conditions
goldseq = comm.GoldSequence('FirstPolynomial','x^6+x^5+1', 'FirstInitialConditions',[0 0 0 0 0 1], ...
'SecondPolynomial','x^6+x^5+x^4+x^1+1', 'SecondInitialConditions',[0 0 0 0 0 1], ...
'Index',1, 'SamplesPerFrame',63);
% Generate the Gold sequence
binarySequence = goldseq();
% Convert the binary sequence to a bipolar sequence (-1 and 1)
bipolarSequence = 2 * binarySequence - 1;
% Define the sample rate and pulse width
fs = 1e4; % Sample rate in Hz
pulseWidth = 1e-4; % Pulse width in seconds
% Create a phased rectangular waveform object
phasedWaveform = phased.RectangularWaveform('SampleRate',fs,'PulseWidth',pulseWidth,'PRF',5000);
% Generate the samples for one pulse
onePulse = phasedWaveform();
% Allocate a vector to store the phased waveform
phasedWaveformSequence = zeros(length(onePulse)*length(bipolarSequence), 1);
% Construct the phased waveform by modulating the rectangular pulse with the bipolar sequence
for i = 1:length(bipolarSequence)
startIndex = (i-1)*length(onePulse) + 1;
endIndex = i*length(onePulse);
phasedWaveformSequence(startIndex:endIndex) = bipolarSequence(i) * onePulse;
end
% Now `phasedWaveformSequence` contains the phased waveform sequence
% You can plot the waveform if needed
plot(phasedWaveformSequence);
xlabel('Sample Number');
ylabel('Amplitude');
title('Phased Waveform Sequence');
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