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a) Can you compute y[n] = x[n] *h[n] with N = 5 point DFT? If yes, explain your algorithm. If no, explain your reason. b) Compute the convolution with N = 10 point DFT and compare your result with part (a). Compute the 4-point DFT of x[n] = {1, 1, 1, 1} using the flow diagram of Decimation-in-time FFT algorithm.

a) Can you compute y[n] = x[n] *h[n] with N = 5 point DFT? If yes, explain your algorithm. If no, explain your reason. b) Compute the convolution with N = 10 point DFT and compare your result with part (a). Compute the 4-point DFT of x[n] = {1, 1, 1, 1} using the flow diagram of Decimation-in-time FFT algorithm.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Let x[n] = {1, 2, 3, 4, 5} and h[n] = {1,3,5} a) Can you compute y[n] = x[n] *h[n] with N = 5 point DFT? If yes, explain your algorithm. If no, explain your reason. b) Compute the convolution with N = 10 point DFT and compare your result with part (a). Compute the 4-point DFT of x[n] = {1, 1, 1, 1} using the flow diagram of Decimation-in-time FFT algorithm.
Transcribed Image Text:Let x[n] = {1, 2, 3, 4, 5} and h[n] = {1,3,5} a) Can you compute y[n] = x[n] *h[n] with N = 5 point DFT? If yes, explain your algorithm. If no, explain your reason. b) Compute the convolution with N = 10 point DFT and compare your result with part (a). Compute the 4-point DFT of x[n] = {1, 1, 1, 1} using the flow diagram of Decimation-in-time FFT algorithm.
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