Q1. A causal discrete-time system is characterized by the difference equation: Уn] %3D у[п - 2] + x[n] — х[п — 4]. a. Find the transfer function, H(z), of this system. (Hint: (x* – 1) = (x – 1)(x + 1)(x – j)(x + j)) b. Plot the pole-zero diagram and clearly mention the ROC for H(z). c. Show that the system is unstable by specifying a bounded input, x[n], for which this system results in unbounded output.

Q1. A causal discrete-time system is characterized by the difference equation: Уn] %3D у[п - 2] + x[n] — х[п — 4]. a. Find the transfer function, H(z), of this system. (Hint: (x* – 1) = (x – 1)(x + 1)(x – j)(x + j)) b. Plot the pole-zero diagram and clearly mention the ROC for H(z). c. Show that the system is unstable by specifying a bounded input, x[n], for which this system results in unbounded output.

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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