The system function of a causal linear time-invariant system isH(z) =1+ -The input to this system isx[n] = (})" u[n] + u[-n - 1].%3D(a) Find the impulse response of the system, h[n].(b) Find the output y[n].(c) Is the system stable? That is, is h[n] absolutely summable?

Given : The system function:H(z)=1-z-11+34z-1The input to this sytem:xn=13nun+u-n-1

The system function of a causal linear time-invariant system is 1- z-1 H(z) = The input to this system is x[n] = (})" u[n] + u[-n – 1]. (a) Find the impulse response of the system, h[n]. (b) Find the output y[n]. (c) Is the system stable? That is, is h[n] absolutely summable?

The system function of a causal linear time-invariant system is 1- z-1 H(z) = The input to this system is x[n] = (})" u[n] + u[-n – 1]. (a) Find the impulse response of the system, h[n]. (b) Find the output y[n]. (c) Is the system stable? That is, is h[n] absolutely summable?

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

The system function of a causal linear time-invariant system is
H(z) =
1+ -
The input to this system is
x[n] = (})" u[n] + u[-n - 1].
%3D
(a) Find the impulse response of the system, h[n].
(b) Find the output y[n].
(c) Is the system stable? That is, is h[n] absolutely summable?

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