📄 pcoff.m
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% PULSE COMPRESSION WAVEFORM WITH FREQUENCY OFFSET
% ------------------------------------------------
clear;clf;clc;
% Input Chirp Bandwidth,Pulsewidth and Offset Frequency
bw=1e6; % Bandwidth - Hz
T= 1e-4; % Pulsewidth - sec
fo=2e5; % Frequency Offset - Hz
%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);
% Find Fourier Spectrum of Chirp
ZY= fft(s,lfft);
Y=fftshift(ZY);
% Find Chirp Power Spectral Density
Psd=Y.*conj(Y)/lfft;
A=ceil(max(Psd));
l=length(Y);
f=(1/T)*(-(l-1)/2:(l-1)/2);
% Find Matched Filter Chirp Time Waveform
zh=ifft(Psd,lfft);
h=fftshift(zh);
% Input Frequency Offset Signals
s1=exp(-j*2*pi*fo*t)+exp(j*2*pi*fo*t);
so=s.*s1;
% Find Fourier Spectrum of Offset
ZZY=fft(so,lfft);
YY=fftshift(ZZY);
% Find Power Spectral Density of Offset
Psd1=YY.*conj(Y)/lfft;
% Find Offset Matched Filter Time Waveform
zzh=ifft(Psd1,lfft);
hh=fftshift(zzh);
% Plot Time Waveform
plot(t,abs(h),t,abs(hh));grid;
axis([-T/4 T/4 0 1 ]);
title(['PC Matched Filter Output']);
xlabel('Time - Sec');ylabel('Amplitude');
text(.2e-5,.95,'No Offset');
text(-2.4e-5,.85,'Repeater With Offset Frequency');
text(.4e-5,.85,'Repeater With Offset Frequency');
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