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.

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Author:Robert L. Boylestad
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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.
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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