Assume a system function of an LTI system is 5 z2 H(z) = (z2 – z – 6) The input to the system x(n) = (-2)"u(n). Assuming y(n) and Y(z) are the Z-transform pair, and y(n) is the output of the above system: a) determine Y(z) assuming ROC of H(z) is |z|>3 b) Determine y(n) by inverting Y(z) using the method of residuals (assuming ROC of H(z) is |z|>3) c) What is the ROC of a stable system given by H(z) ? d) What is the response y(n) of a stable system given by H(z)?

Assume a system function of an LTI system is 5 z2 H(z) = (z2 – z – 6) The input to the system x(n) = (-2)"u(n). Assuming y(n) and Y(z) are the Z-transform pair, and y(n) is the output of the above system: a) determine Y(z) assuming ROC of H(z) is |z|>3 b) Determine y(n) by inverting Y(z) using the method of residuals (assuming ROC of H(z) is |z|>3) c) What is the ROC of a stable system given by H(z) ? d) What is the response y(n) of a stable system given by H(z)?

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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