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//Discrete Time Fourier Transform of
//x[n]= (a^abs(n)) |a|<1
clear;
clc;
close;
// DTS Signal
a = 0.5;
max_limit = 10;
n = -max_limit+1:max_limit-1;
x = a^abs(n);
// Discrete-time Fourier Transform
Wmax = 2*%pi;
K = 4;
k = 0:(K/1000):K;
W = k*Wmax/K;
XW = x* exp(-sqrt(-1)*n'*W);
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)];
//plot for abs(a)<1
figure
subplot(2,1,1);
plot2d3('gnn',n,x);
xtitle('Discrete Time Sequence x[n] for a>0','n','x[n]')
subplot(2,1,2);
plot2d(W,XW_Mag);
xtitle('Discrete Time Fourier Transform X(exp(jW))','w','|X(exp(jW))|')
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