4. Let x(k)= ku(k) h(k)= [6, 5, 4, 3, 2, 1] = 6, k = 0 5, k = 1 4, k = 2 3, k = 3 2, k = 4 1, k = 5 0, elsewhere Let N = 11. (a) Plot x(k) for 0 ≤ k ≤ N-1. (b) Plot h(k) for 0 ≤ k ≤ N-1. (G) Find the convolution y(k) of x(k) and h(k). List the values for 0 ≤ k ≤ N-1. N 1

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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2
F2
W
Z
F3
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4.
IIISI
Let
x(k) = ku(k)
h(k) [6, 5, 4, 3, 2, 1] =
Let N = 11.
(a) Plot x(k) for 0 ≤ k ≤ N-1.
(b) Plot h(k) for 0 ≤ k ≤ N-1.
6, k = 0
5, k = 1
4, k = 2
3, k = 3
2, k = 4
1, k = 5
10, elsewhere
(c) Find the convolution y(k) of x(k) and h(k). List the values for 0 ≤ k ≤ N-1.
(d) Plot y(k) for 0 ≤ k ≤ N-1.
numk
Transcribed Image Text:2 F2 W Z F3 3 S 4. IIISI Let x(k) = ku(k) h(k) [6, 5, 4, 3, 2, 1] = Let N = 11. (a) Plot x(k) for 0 ≤ k ≤ N-1. (b) Plot h(k) for 0 ≤ k ≤ N-1. 6, k = 0 5, k = 1 4, k = 2 3, k = 3 2, k = 4 1, k = 5 10, elsewhere (c) Find the convolution y(k) of x(k) and h(k). List the values for 0 ≤ k ≤ N-1. (d) Plot y(k) for 0 ≤ k ≤ N-1. numk
Expert Solution
Step 1: what is given and what to do:

Given:

straight x open parentheses straight k close parentheses equals ku open parentheses straight k close parentheses comma
straight h open parentheses straight k close parentheses equals open square brackets bold 6 comma space 5 comma space 4 comma space 3 comma space 2 comma space 1 close square brackets

To do:

straight a right parenthesis space Plot space straight x open parentheses straight k close parentheses space for space 0 less or equal than straight k less or equal than straight N minus 1.
straight b right parenthesis space Plot space straight h open parentheses straight k close parentheses space for space 0 less or equal than straight k less or equal than straight N minus 1.
straight c right parenthesis space find space the space convolution space straight y left parenthesis straight k right parenthesis space of space straight x left parenthesis straight k right parenthesis space and space straight h left parenthesis straight k right parenthesis. space And space list space the space values space for space 0 less or equal than straight k less or equal than straight N minus 1.

where N=11.

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