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//Example 5_15
//Fourier Transform of x(t)=exp(-t)*sin(wc*t)*u(t)
clear;
clc;
wc=1;
Dt=0.005;
t=0:Dt:10;
xt=(exp(t*(-1+wc))-exp(t*(-1-wc)))/(2*%i);
Wmax=2*%pi*1;
K=4;
k=0:(K/1000):K;
W=k*Wmax/K;
XW=xt*exp(-sqrt(-1)*t'*W)*Dt;
XW_Mag=abs(XW);
W=[-mtlb_fliplr(W),W(2:1001)];
XW_Mag=[mtlb_fliplr(XW_Mag),XW_Mag(2:1001)];
[XW_Phase,db]=phasemag(XW);
XW_Phase=[-mtlb_fliplr(XW_Phase),XW_Phase(2:1001)];
//Plotting Continuous Time Signal
figure(1)
plot(t,xt);
xlabel('t in sec.');
ylabel('x(t)')
title('Continuous Time Signal')
figure(2)
//Plotting Magnitude Response of CTS
subplot(2,1,1);
plot(W,XW_Mag);
xlabel('Frequency in Radians/Seconds>W');
ylabel('abs(X(jW))')
title('Magnitude Response (CTFT)')
//Plotting Phase Reponse of CTS
subplot(2,1,2);
plot(W,XW_Phase*%pi/180);
xlabel('Frequency in Radians/Seconds>W');
ylabel('<X(jW)')
title('Phase Response (CTFT) in Radians')
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