Problem 1 Consider two finite length sequences x[n] = = (-1)", if 0 ≤ n ≤ 3, 0, otherwise 1, if n = = 0, 2, if n = 1, y[n] =3, if n = 2, 2, if n = 3, 0, otherwise 1. Compute the linear convolution z₁ [n] = x[n] ⋆ y[n]. * 2. Compute the circular convolution z₂[n] = x[n]@y[n]. 3. Compute the circular convolution z3[n] = x[n]Oy[n]. (1) (2)
Problem 1 Consider two finite length sequences x[n] = = (-1)", if 0 ≤ n ≤ 3, 0, otherwise 1, if n = = 0, 2, if n = 1, y[n] =3, if n = 2, 2, if n = 3, 0, otherwise 1. Compute the linear convolution z₁ [n] = x[n] ⋆ y[n]. * 2. Compute the circular convolution z₂[n] = x[n]@y[n]. 3. Compute the circular convolution z3[n] = x[n]Oy[n]. (1) (2)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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![Problem 1
Consider two finite length sequences
x[n]
=
ſ(−1)″, if 0 ≤ n ≤ 3,
0, otherwise
y[n] =
=
1, if n =
2, if n = 1,
3, if n = 2,
2, if n = 3,
0, otherwise
= 0,
1. Compute the linear convolution z₁ [n] = x[n] ⋆ y[n].
2. Compute the circular convolution z2[n] = x[n]y[n].
3. Compute the circular convolution z3[n] = x[n]Oy[n].
(1)
(2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1360188c-22ae-4975-a8f5-9724ad3b329c%2Fdd07606f-76b7-4a54-b04c-cc4f52e075d3%2Fifi3zfd_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 1
Consider two finite length sequences
x[n]
=
ſ(−1)″, if 0 ≤ n ≤ 3,
0, otherwise
y[n] =
=
1, if n =
2, if n = 1,
3, if n = 2,
2, if n = 3,
0, otherwise
= 0,
1. Compute the linear convolution z₁ [n] = x[n] ⋆ y[n].
2. Compute the circular convolution z2[n] = x[n]y[n].
3. Compute the circular convolution z3[n] = x[n]Oy[n].
(1)
(2)
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