Consider x1[n] = {1, 1, 1} and x2[n] {1, 2, 1, 2, 1}, two finite duration sequences. %3| (a) Find and plot x1[((n – 2)4] and x2[((-n))8]. (b) Compute æ[n] = x1[n]©x2[n]. (Carry out a circular convolution and show your steps.) (c) Is a[n] computed above equal to y[n] = x1[n] * *2[n]?. If not, identify all the samples from x[n] that correspond to linear convolution.
Consider x1[n] = {1, 1, 1} and x2[n] {1, 2, 1, 2, 1}, two finite duration sequences. %3| (a) Find and plot x1[((n – 2)4] and x2[((-n))8]. (b) Compute æ[n] = x1[n]©x2[n]. (Carry out a circular convolution and show your steps.) (c) Is a[n] computed above equal to y[n] = x1[n] * *2[n]?. If not, identify all the samples from x[n] that correspond to linear convolution.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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![Consider x1[n] = {1,1, 1} and x2[n] = {1,2,1,2, 1}, two finite duration sequences.
(a) Find and plot xi[((n – 2)4] and x2[((-n))8].
(b) Compute x[n] = x1[n]©x2[n]. (Carry out a circular convolution and show your steps.)
(c) Is x[n] computed above equal to y[n]
from x[n] that correspond to linear convolution.
x1[n] * x2[n]?. If not, identify all the samples
(d) State the relationship of x[n] to y[n] = x1[n] * x2[n] and verify it.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe68f0066-db31-42e2-87ae-f5acbabd5711%2Fb74621c4-b2b4-4558-a171-94d496563150%2F7er8stm_processed.png&w=3840&q=75)
Transcribed Image Text:Consider x1[n] = {1,1, 1} and x2[n] = {1,2,1,2, 1}, two finite duration sequences.
(a) Find and plot xi[((n – 2)4] and x2[((-n))8].
(b) Compute x[n] = x1[n]©x2[n]. (Carry out a circular convolution and show your steps.)
(c) Is x[n] computed above equal to y[n]
from x[n] that correspond to linear convolution.
x1[n] * x2[n]?. If not, identify all the samples
(d) State the relationship of x[n] to y[n] = x1[n] * x2[n] and verify it.
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