📄 pcspec.m
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% PULSE COMPRESSION SPECTRUM USING FFT
% -------------------------------------
clear;clf;clc;
% Input Chirp Bandwidth and Pulsewidth
bw=1e6; % Bandwidth - Hz
T= 1e-4; % Pulsewidth - sec
%Input FFT Points
lfft=1024;
% Set Time Base
t=-T/2:T/(lfft-1):T/2;
% Sample Complex Chirp
s= exp(-j*pi*bw*t.*t/T);
% Plot Chirp Waveform
subplot(221);
plot(t,real(s));grid;
title(['Chirp Waveform']);
% Find Fourier Spectrum of Chirp
ZY= fft(s,lfft);
Y=fftshift(ZY);
% Find Power Spectral Density
Psd=Y.*conj(Y)/lfft;
A=ceil(max(Psd));
l=length(Y);
f=(1/T)*(-(l-1)/2:(l-1)/2);
% Plot Power Spectral Density
subplot(222);
plot(f,Psd/A);grid
axis([-bw bw 0 1]);
title(['Pulse Compression Spectrum']);
xlabel('Frequency - Hz');
ylabel('Amplitude');
% Find Matched Filter Time Waveform
zh=ifft(Psd,lfft);
h=fftshift(zh);
%Plot Time Waveform
subplot(223);
plot(t,abs(h));grid;
axis([-T/16 T/16 0 1 ]);
title(['PC Matched Filter Output']);
xlabel('Time - Sec');ylabel('Amplitude');
%Plot Log of Time Waveform
zz=20*log10(abs(h));
subplot(224);
plot(t,zz);grid;
axis([ -T/16 T/16 -60 0]);
title(['PC Matched Filter Output']);
xlabel('Time - Sec');ylabel('Amplitude - DB');
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