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Determine all possible signals that have the following Z-transform: X(z) = 1 1-2- Hint: X(z) has three poles at p₁ = 1, p2 = P3 = -3. co11 2 -2 -

Determine all possible signals that have the following Z-transform: X(z) = 1 1-2- Hint: X(z) has three poles at p₁ = 1, p2 = P3 = -3. co11 2 -2 -

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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**Problem Statement:** Determine all possible signals that have the following Z-transform: \[ X(z) = \frac{1}{1 - \frac{1}{3}z^{-1} - \frac{5}{9}z^{-2} - \frac{1}{9}z^{-3}} \] **Hint:** \( X(z) \) has three poles at \( p_1 = 1 \), \( p_2 = p_3 = -\frac{1}{3} \).
Transcribed Image Text:**Problem Statement:** Determine all possible signals that have the following Z-transform: \[ X(z) = \frac{1}{1 - \frac{1}{3}z^{-1} - \frac{5}{9}z^{-2} - \frac{1}{9}z^{-3}} \] **Hint:** \( X(z) \) has three poles at \( p_1 = 1 \), \( p_2 = p_3 = -\frac{1}{3} \).
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