2. For a causal LTI system described by the following input-output relation. y(n) = 2ay(n − 1) − a²y(n − 2) + bax(n − 1) Determine "a" so that the system is stable. Use both z-transform (find poles, zeros, the ROC) and time-domain analysis.

2. For a causal LTI system described by the following input-output relation. y(n) = 2ay(n − 1) − a²y(n − 2) + bax(n − 1) Determine "a" so that the system is stable. Use both z-transform (find poles, zeros, the ROC) and time-domain analysis.

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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Question

2. For a causal LTI system described by the following
input-output relation.
y(n) = 2ay(n − 1) − a²y(n − 2) + bax(n − 1)
Determine "a" so that the system is stable. Use both
z-transform (find poles, zeros, the ROC) and time-domain
analysis.

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