The system function H(z) of a stable LTI system has three poles and three zeros, as shown in the plot below. Also, the system response to the input x[n] = (-1)" (all n) is given by y[n] = 20(-1)" (all n). (М 3 2) z = 0 (M = 1) z = 1 z = -2 = 2) z = 1/2 а) Determine H(z) and its region of convergence. b) Determine the impulse response h[n]. c) Give one value of a (other than zero) for which the sequence x'[n] = a" (for all n) %3D is not an acceptable input for this system. 2)

The system function H(z) of a stable LTI system has three poles and three zeros, as shown in the plot below. Also, the system response to the input x[n] = (-1)" (all n) is given by y[n] = 20(-1)" (all n). (М 3 2) z = 0 (M = 1) z = 1 z = -2 = 2) z = 1/2 а) Determine H(z) and its region of convergence. b) Determine the impulse response h[n]. c) Give one value of a (other than zero) for which the sequence x'[n] = a" (for all n) %3D is not an acceptable input for this system. 2)

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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