### Problem StatementSuppose we know \( X(z) \) has two poles at \( p_1 = 0.8e^{j\frac{\pi}{4}} \) and \( p_2 = 0.8e^{-j\frac{\pi}{4}} \) and two zeros at \( z_1 = 1 \), \( z_2 = -1 \).#### Questions**(a)** What is the expression for \( X(z) \)?**(b)** You are told \( x(n) = Z^{-1}[X(z)] \) is a causal signal. What is the ROC of \( X(z) \)? Determine \( x(n) \). Is \( x(n) \) bounded?**(c)** You are told \( x(n) = Z^{-1}[X(z)] \) is an anti-causal signal. What is the ROC of \( X(z) \)? Determine \( x(n) \). Is \( x(n) \) bounded?**Hint:** You can determine \( x(n) \) up to a constant.

Answered: Image /qna-images/answer/dc2dd374-d3f6-4f1d-a3e5-54242f8e9aba.jpg

Suppose we know X(z) has two poles at p₁ = 0.8e and p2 = = 1, 22 = -1. zeros at 21 = (a) What is the expression for X(z)? = 0.8e-¹ and two (b) You are told x(n) = Z-¹[X(z)] is a causal signal. What is ROC of X(z)? Determine x(n). Is x(n) bounded? (c) You are told r(n) = Z-¹[X(z)] is an anti-causal signal. What is ROC of X(z)? Determine x(n). Is x(n) bounded? Hint: You can determine x(n) up to a constant.

Suppose we know X(z) has two poles at p₁ = 0.8e and p2 = = 1, 22 = -1. zeros at 21 = (a) What is the expression for X(z)? = 0.8e-¹ and two (b) You are told x(n) = Z-¹[X(z)] is a causal signal. What is ROC of X(z)? Determine x(n). Is x(n) bounded? (c) You are told r(n) = Z-¹[X(z)] is an anti-causal signal. What is ROC of X(z)? Determine x(n). Is x(n) bounded? Hint: You can determine x(n) up to a constant.

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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