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Given is the LCC difference equation that represents some LTI system (assume zero-initial-conditions): У (п) + 2у(п — 1) - Зу(n — 2) %3 х(п) + x(п — 1) a) Find the system function H(z) of this system and sketch the pole-zero plot п-2 b) What is Y(z) when x(n) = 8(n – 1) + 2(;) и(п - 2) c) if x (n) = u(n), find the output y(n) with the help of H(z), and by inverting the Y(z) (partial fraction exp)

Given is the LCC difference equation that represents some LTI system (assume zero-initial-conditions): У (п) + 2у(п — 1) - Зу(n — 2) %3 х(п) + x(п — 1) a) Find the system function H(z) of this system and sketch the pole-zero plot п-2 b) What is Y(z) when x(n) = 8(n – 1) + 2(;) и(п - 2) c) if x (n) = u(n), find the output y(n) with the help of H(z), and by inverting the Y(z) (partial fraction exp)

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Given is the LCC difference equation that represents some LTI system (assume zero-initial-conditions): y(n) + 2y(n – 1) – 3y(n – 2) = x(n) + x(n – 1) a) Find the system function H(z) of this system and sketch the pole-zero plot п-2 b) What is Y(z) when x(n) = 8(n – 1) + 2(;) u(n – 2) c) if x (n) = u(n), find the output y(n) with the help of H(z), and by inverting the Y(z) (partial fraction exp)
Transcribed Image Text:Given is the LCC difference equation that represents some LTI system (assume zero-initial-conditions): y(n) + 2y(n – 1) – 3y(n – 2) = x(n) + x(n – 1) a) Find the system function H(z) of this system and sketch the pole-zero plot п-2 b) What is Y(z) when x(n) = 8(n – 1) + 2(;) u(n – 2) c) if x (n) = u(n), find the output y(n) with the help of H(z), and by inverting the Y(z) (partial fraction exp)
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