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authorprashantsinalkar2017-10-10 12:27:19 +0530
committerprashantsinalkar2017-10-10 12:27:19 +0530
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+//Example 5_16
+//Fourier Transform of x(t)=exp(-a*t)*cos(wc*t)*u(t)
+clear;
+clc;
+a=1;
+wc=1;
+Dt=0.005;
+t=0: Dt :10;
+xt=(exp(t*(-a+wc))+exp(t*(-a-wc)))/2;
+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')