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Given that the Z-transform of a system is : 1 X(z) 1 – 1.5z-1 + 0.5z-2 i) Find the partial-fraction expansion for X(z). ii) Determine the system function x(n) if the region of convergence (ROC) is |리 >1 iii) Determine the system function x(n) if the region of convergence (ROC) is |z| < 0.5

Given that the Z-transform of a system is : 1 X(z) 1 – 1.5z-1 + 0.5z-2 i) Find the partial-fraction expansion for X(z). ii) Determine the system function x(n) if the region of convergence (ROC) is |리 >1 iii) Determine the system function x(n) if the region of convergence (ROC) is |z| < 0.5

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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a) Given that the Z-transform of a system is : 1 X(z) : 1– 1.5z-1 + 0.5z-2 i) Find the partial-fraction expansion for X(z). i) Determine the system function x(n) if the region of convergence (ROC) is |z| > 1 iii) Determine the system function x(n) if the region of convergence (ROC) is |리 < 0.5 iv) Determine the system function x(n) if the region of convergence (ROC) is 0.5 < |z| < 1
Transcribed Image Text:a) Given that the Z-transform of a system is : 1 X(z) : 1– 1.5z-1 + 0.5z-2 i) Find the partial-fraction expansion for X(z). i) Determine the system function x(n) if the region of convergence (ROC) is |z| > 1 iii) Determine the system function x(n) if the region of convergence (ROC) is |리 < 0.5 iv) Determine the system function x(n) if the region of convergence (ROC) is 0.5 < |z| < 1
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