2) The system function H(z) of a stable LTI system has three poles and three zeros, as shown in the plot below. Also, the system response to the input x[n] = (-1)" (all n) is given by y[n] = %3D 20(-1)" (all n). (M = 2) z = 0 (M = 1) z = 1 z = 1/2 (M = 1) z = -2 (M = 2) а) Determine H(z) and its region of convergence. b) Determine H(z) and its region of convergence. c) Give one value of a (other than zero) for which the sequence x'[n] = a" (for all n) %3D is not an acceptable input for this system. Page
2) The system function H(z) of a stable LTI system has three poles and three zeros, as shown in the plot below. Also, the system response to the input x[n] = (-1)" (all n) is given by y[n] = %3D 20(-1)" (all n). (M = 2) z = 0 (M = 1) z = 1 z = 1/2 (M = 1) z = -2 (M = 2) а) Determine H(z) and its region of convergence. b) Determine H(z) and its region of convergence. c) Give one value of a (other than zero) for which the sequence x'[n] = a" (for all n) %3D is not an acceptable input for this system. Page
Introductory Circuit Analysis (13th Edition)
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Publisher:Robert L. Boylestad
Chapter1: Introduction
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Question
![2)
The system function H(z) of a stable LTI system has three poles and three zeros, as shown in
the plot below. Also, the system response to the input x[n] = (-1)" (all n) is given by y[n] =
%3D
20(–1)" (all n).
(M = 2)
z = 0
(M = 1)
z = 1
z = -2
(M = 2)
z = 1/2
(M = 1)
a)
Determine H(z) and its region of convergence.
b)
Determine H(z) and its region of convergence.
c)
Give one value of a (other than zero) for which the sequence x'[n] = a" (for all n)
is not an acceptable input for this system.
Page
+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd07e8233-789e-4760-ba71-e70869af7b54%2F68f605a7-ba05-4821-9925-63e28d903407%2Fzwe9up_processed.png&w=3840&q=75)
Transcribed Image Text:2)
The system function H(z) of a stable LTI system has three poles and three zeros, as shown in
the plot below. Also, the system response to the input x[n] = (-1)" (all n) is given by y[n] =
%3D
20(–1)" (all n).
(M = 2)
z = 0
(M = 1)
z = 1
z = -2
(M = 2)
z = 1/2
(M = 1)
a)
Determine H(z) and its region of convergence.
b)
Determine H(z) and its region of convergence.
c)
Give one value of a (other than zero) for which the sequence x'[n] = a" (for all n)
is not an acceptable input for this system.
Page
+
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