5.38. H(2) is the system function for a stable LTI system and is given by: (1-92-2)(1+1) H(z) = 1 - -1 (a) H(z) can be represented as a cascade of a minimum-phase system Hmin (2) and a unity- gain all-pass system Hap (z). Determine a choice for Hmin (2) and Hap(z) and specify whether or not they are unique up to a scale factor. (b) Is the minimum-phase system, Hmin (2), an FIR system? Explain. (c) Is the minimum-phase system, Hmin (2), a generalized linear-phase system? If not, can H(z) be represented as a cascade of a generalized linear-phase system Hin (2) and an all-pass system Hap2 (2)? If your answer is yes, determine Hin (2) and Hap2(z). If your answer is no, explain why such representation does not exist.
5.38. H(2) is the system function for a stable LTI system and is given by: (1-92-2)(1+1) H(z) = 1 - -1 (a) H(z) can be represented as a cascade of a minimum-phase system Hmin (2) and a unity- gain all-pass system Hap (z). Determine a choice for Hmin (2) and Hap(z) and specify whether or not they are unique up to a scale factor. (b) Is the minimum-phase system, Hmin (2), an FIR system? Explain. (c) Is the minimum-phase system, Hmin (2), a generalized linear-phase system? If not, can H(z) be represented as a cascade of a generalized linear-phase system Hin (2) and an all-pass system Hap2 (2)? If your answer is yes, determine Hin (2) and Hap2(z). If your answer is no, explain why such representation does not exist.
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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