3.16. When the input to an LTI system isx[n] =u[n] + (2)" u[-n – 1),%3Dthe corresponding output isy{n] = 5() uln] –- 5) u[n).(a) Find the system function H(z) of the system. Plot the pole(s) and zero(s) of H (z) andindicate the ROC.(b) Find the impulse response h[n] of the system.(c) Write a difference equation that is satisfied by the given input and output.(d) Is the system stable? Is it causal?

Differential equation: It is an equation in Z-transform that relates the input and the output of the…

3.16. When the input to an LTI system is -()" i) u[n] + (2)"u[-n – 1), x[n] = the corresponding output is y[n] = 5 () uln] – 5 () uln). (a) Find the system function H(z) of the system. Plot the pole(s) and zero(s) of H (2) and indicate the ROC. (b) Find the impulse response hin] of the system. (c) Write a difference equation that is satisfied by the given input and output. (d) Is the system stable? Is it causal?

3.16. When the input to an LTI system is -()" i) u[n] + (2)"u[-n – 1), x[n] = the corresponding output is y[n] = 5 () uln] – 5 () uln). (a) Find the system function H(z) of the system. Plot the pole(s) and zero(s) of H (2) and indicate the ROC. (b) Find the impulse response hin] of the system. (c) Write a difference equation that is satisfied by the given input and output. (d) Is the system stable? Is it causal?

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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