📄 c10ex1.m
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% Plots of errors in computing the DFT - Example 10-1%clfT = input('Enter the time window width ');Tss = input('Enter the largest time sampling interval ');for k = 1:3k_even = 2*k;k_odd = 2*k-1;Ts = Tss/(2^(k-1));fs = 1/Ts;tn = -T/2:Ts:T/2;L_t = length(tn);del_f = 1/T;f_max = (L_t - 1)*del_f;fn = 0:del_f:f_max;L_fn = length(fn);f = 0:.01:f_max;L_f = length(f);X = fs*2./(1+(2*pi*f).^2);L_X = length(X);xs = exp(-abs(tn));L_xs = length(xs);Xs = fft(xs);L_Xs = length(Xs);subplot(4,2,k_odd), stem(tn, xs), xlabel('tn'), ylabel('x(tn)'),...axis([-T/2 T/2+.01 0 1]),...if k == 1 title(['FFT pairs for double-sided exponential; T = ', num2str(T)])endsubplot(4,2,k_even), stem(fn, abs(Xs)), xlabel('fk, f'),... ylabel('X(fk), X(f)'),axis([ 0 f_max 0 2^k+.2]),holdsubplot(4,2,k_even), plot(f, X)end
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