7.4. Consider a causal system that has the system function z + 0.2 z – 0.2° H[2] When appropriate, assume that the initial conditions of the system are zero. a) Determine the output y;[n] of the system in response to r: [n] = (0.4)"u[n]. If the output does not exist, state “The output y:[n] does not exist," and give the reason. b) Determine the output y2[n] of the system in response to z2{n] = (0.4)". If the output does not exist, state “The output y2[n] does not exist," and give the reason. c) Determine the output ys[n] of the system in response to r3[n] = (0.4)|n|. If the output does not exist, state “The output y3[n] does not exist," and give the reason.
7.4. Consider a causal system that has the system function z + 0.2 z – 0.2° H[2] When appropriate, assume that the initial conditions of the system are zero. a) Determine the output y;[n] of the system in response to r: [n] = (0.4)"u[n]. If the output does not exist, state “The output y:[n] does not exist," and give the reason. b) Determine the output y2[n] of the system in response to z2{n] = (0.4)". If the output does not exist, state “The output y2[n] does not exist," and give the reason. c) Determine the output ys[n] of the system in response to r3[n] = (0.4)|n|. If the output does not exist, state “The output y3[n] does not exist," and give the reason.
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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Question
![7.4. Consider a causal system that has the system function
z + 0.2
z – 0.2
H[z]
When appropriate, assume that the initial conditions of the system are zero.
a) Determine the output y1 [n] of the system in response to x1 [n] = (0.4)"u[n]. If the output
does not exist, state "The output yi[n] does not exist," and give the reason.
b) Determine the output y2[n] of the system in response to r2[n] = (0.4)". If the output
does not exist, state “The output y2[n] does not exist," and give the reason.
%3D
11
c) Determine the output y3[n] of the system in response to x3(n] = (0.4)nl. If the output
does not exist, state "The output y3[n] does not exist," and give the reason.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8530e82-7d31-4442-ada5-dc030786f27d%2Fc0b79a67-dc6e-432a-9fd6-f1660d8ab7d7%2Fxpaym6g_processed.png&w=3840&q=75)
Transcribed Image Text:7.4. Consider a causal system that has the system function
z + 0.2
z – 0.2
H[z]
When appropriate, assume that the initial conditions of the system are zero.
a) Determine the output y1 [n] of the system in response to x1 [n] = (0.4)"u[n]. If the output
does not exist, state "The output yi[n] does not exist," and give the reason.
b) Determine the output y2[n] of the system in response to r2[n] = (0.4)". If the output
does not exist, state “The output y2[n] does not exist," and give the reason.
%3D
11
c) Determine the output y3[n] of the system in response to x3(n] = (0.4)nl. If the output
does not exist, state "The output y3[n] does not exist," and give the reason.
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