a. Show and explain the ROC of H(z) = (1 − z−¹)²(1 – 1⁄z¯¹)z³.b. Explain whether the system is causal and stable.c. Find the inverse z-transform of H(z).d. Explain the causality and stability according to the impulse response.e. Is this FIR or IIR system, why?

Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Answered: a. Show and explain the ROC of H(z) =…

a. Show and explain the ROC of H(z) = (1-z-¹)²(1-z-¹)z³. b. Explain whether the system is causal and stable. c. Find the inverse z-transform of H(z).

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

a. Show and explain the ROC of H(z) = (1 − z−¹)²(1 – 1⁄z¯¹)z³.
b. Explain whether the system is causal and stable.
c. Find the inverse z-transform of H(z).
d. Explain the causality and stability according to the impulse response.
e. Is this FIR or IIR system, why?

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