For causal LTI systems with transfer func- tions listed below, find the zeros and poles and state whether or not each system is stable with a brief jus- tification for why. If the system is stable, find the impulse response for the system.

For causal LTI systems with transfer func- tions listed below, find the zeros and poles and state whether or not each system is stable with a brief jus- tification for why. If the system is stable, find the impulse response for the system.

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

For causal LTI systems with transfer func-
tions listed below, find the zeros and poles and state
whether or not each system is stable with a brief jus-
tification for why. If the system is stable, find the
impulse response for the system.

c.)
d.)
e.)
Ĥc(z) =
2.52² +0.5z
z²+0.2z - 0.08
Ĥa(z) = 2 + 5z¯² – 122-4
Ĥe(z) =
1.5z² + 2z
z2 +0.4z +0.13

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Step 2: c. Justifying whether the given system is stable or not.

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Step 3: Finding the impulse response.

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Step 4: d. Justifying whether the given system is stable or not and finding the impulse response.

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Step 5: e. Justifying whether the given system is stable or not.

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Step 6: Finding the impulse response.

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