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# Continuous Time Fourier Transform of a Square Waveform

Language: Scilab

Processor: Not Relevant

Submitted by Senthilkumar R on Mar 21 2011

# Continuous Time Fourier Transform of a Square Waveform

This program is used to calculate the Continuous Time Fourier Transform and Frequency Response of a Square Waveform

// Continuous Time Fourier Transform and Frequency Response of a Square Waveform
// x(t)= A, from -T1 to T1
clear;
clc;
close;
// CTS Signal
A =1;    //Amplitude
Dt = 0.005;
T1 = 4;  //Time in seconds
t = -T1:Dt:T1;
for i = 1:length(t)
xt(i) = A;
end
//
// Continuous-time Fourier Transform
Wmax = 2*%pi*1;        //Analog Frequency = 1Hz
K = 4;
k = 0:(K/1000):K;
W = k*Wmax/K;
xt = xt';
XW = xt* exp(-sqrt(-1)*t'*W) * Dt;
XW_Mag = real(XW);
W = [-mtlb_fliplr(W), W(2:1001)]; // Omega from -Wmax to Wmax
XW_Mag = [mtlb_fliplr(XW_Mag), XW_Mag(2:1001)];
//
subplot(2,1,1);
a = gca();
a.data_bounds=[-4,0;4,2];
a.y_location ="origin";
plot2d2(t,xt);
xlabel('t in msec.');
title('Continuous Time Signal x(t)')
subplot(2,1,2);
a = gca();
a.y_location ="origin";
a.x_location ="origin";
plot(W,XW_Mag);
title('Continuous-time Fourier Transform  X(jW)')

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posted by Senthilkumar R