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Problem 4. A discrete-time causal LTI system has the transfer function H(z)- (1+0.32 ¹)(1-42-2) (1+0.642-2) (a) Mark the poles and zeros in the complex plane. Is the system stable? (b) A stable and causal discrete-time LTI system is called minimum phase if all of its zeros are in the unit circle. Find a minimum-phase system H(2) and an all-pass system Hap(2) such that H(2) = Hm(2)Hap(2).

Problem 4. A discrete-time causal LTI system has the transfer function H(z)- (1+0.32 ¹)(1-42-2) (1+0.642-2) (a) Mark the poles and zeros in the complex plane. Is the system stable? (b) A stable and causal discrete-time LTI system is called minimum phase if all of its zeros are in the unit circle. Find a minimum-phase system H(2) and an all-pass system Hap(2) such that H(2) = Hm(2)Hap(2).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Problem 4. A discrete-time causal LTI system has the transfer function H(z)- (1+0.32 ¹)(1-42-2) (1+0.642-2) (a) Mark the poles and zeros in the complex plane. Is the system stable? (b) A stable and causal discrete-time LTI system is called minimum phase if all of its zeros are in the unit circle. Find a minimum-phase system H(2) and an all-pass system Hap(2) such that H(2) = Hm(2)Hap(2).
Transcribed Image Text:Problem 4. A discrete-time causal LTI system has the transfer function H(z)- (1+0.32 ¹)(1-42-2) (1+0.642-2) (a) Mark the poles and zeros in the complex plane. Is the system stable? (b) A stable and causal discrete-time LTI system is called minimum phase if all of its zeros are in the unit circle. Find a minimum-phase system H(2) and an all-pass system Hap(2) such that H(2) = Hm(2)Hap(2).
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