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. If a system function has zeros at the origin of the z-plane then the system function is a proper rational function. Why?  2. Can you obtain the z-transform of u[n] at z = 0? If you can, what is its value? If you cannot, why not?  3. What is the preferred method for obtaining the inverse z-transform of rational functions? Describe this method.  4. Explain why a one-sided z-transform is able to determine response to a LCCDE with initial conditions while the two-sided z-transform cannot.  5. Can any system with a rational system function be decomposed into a product of an allpass system and a minimum-phase system? If yes, then explain how?

. If a system function has zeros at the origin of the z-plane then the system function is a proper rational function. Why?  2. Can you obtain the z-transform of u[n] at z = 0? If you can, what is its value? If you cannot, why not?  3. What is the preferred method for obtaining the inverse z-transform of rational functions? Describe this method.  4. Explain why a one-sided z-transform is able to determine response to a LCCDE with initial conditions while the two-sided z-transform cannot.  5. Can any system with a rational system function be decomposed into a product of an allpass system and a minimum-phase system? If yes, then explain how?

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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1. If a system function has zeros at the origin of the z-plane then the system function is a proper
rational function. Why? 

2. Can you obtain the z-transform of u[n] at z = 0? If you can, what is its value? If you cannot,
why not? 

3. What is the preferred method for obtaining the inverse z-transform of rational functions?
Describe this method. 

4. Explain why a one-sided z-transform is able to determine response to a LCCDE with initial
conditions while the two-sided z-transform cannot. 

5. Can any system with a rational system function be decomposed into a product of an allpass
system and a minimum-phase system? If yes, then explain how? 

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