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Using the frequency-shifting property of the DTFT, show that the real part of DTFT of the sinusoidal pulse x[n] = (cos won) (u[n] u[n M])

image text in transcribed Using the frequency-shifting property of the DTFT, show that the real part of DTFT of the sinusoidal pulse x[n] = (cos won) (u[n] u[n M]) is given by (w-wo)(M-1)sin{(w-wo)M/2} - - (w+wo)(M-1)sin{(w+wo)M/2}] X(e) = { cos | (-) (M-1)] [sin(x)/2] + cos {(+0x) (M-1)}[5 COS sin{(w-wo)/2} 1/1 COS 2 sin{(w+wo)/2} /2 and N = 5, 15, 25, 100. Use the plotting Compute and plot X(ej) for wo = interval of [-,]. Comment on your results

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