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For a signal x[n] = [1,–1,0, 2] where n = 0~ 3. a) Express x[n] as the sum of shifted and scaled 8[n] b) find its 4-point DFT X[k] for k = 0~3. c) find its DTFT X(e/") d) find X(elw) for w = 0,", n, " and make a drawing to show the four sample points on the unit

For a signal x[n] = [1,–1,0, 2] where n = 0~ 3. a) Express x[n] as the sum of shifted and scaled 8[n] b) find its 4-point DFT X[k] for k = 0~3. c) find its DTFT X(e/") d) find X(elw) for w = 0,", n, " and make a drawing to show the four sample points on the unit

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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For a signal x[n] = [1,–1,0, 2] where n = 0~ 3. a) Express x[n] as the sum of shifted and scaled 8[n] b) find its 4-point DFT X[k] for k = 0~3. c) find its DTFT X(e/") d) find X(e/") for w = 0,", = 0,5, 1, and make a drawing to show the four sample points on the unit 2 circle. e) compare your results from b) and d) and explain your findings. What is the relationship between X(el") and X[k]? f) What is the DC value of this signal?
Transcribed Image Text:For a signal x[n] = [1,–1,0, 2] where n = 0~ 3. a) Express x[n] as the sum of shifted and scaled 8[n] b) find its 4-point DFT X[k] for k = 0~3. c) find its DTFT X(e/") d) find X(e/") for w = 0,", = 0,5, 1, and make a drawing to show the four sample points on the unit 2 circle. e) compare your results from b) and d) and explain your findings. What is the relationship between X(el") and X[k]? f) What is the DC value of this signal?
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