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1. Find an expression for y[n] if y[n+ 2] + 2y[n+ 1] − 8y[n] = x[n+2] − 2x[n+ 1] + 4x[n] with r[n] = (1.5)"u[n], y[-1] = −4, y[-2] = 4. The first few sub-questions below can be answered by just substituting values into the difference equation, but for the later ones you need to derive a general expression. (d) What is the coefficient of (2)"? (e) What is the coefficient of (-4)"? (f) What is the coefficient of (1.5)"?

1. Find an expression for y[n] if y[n+ 2] + 2y[n+ 1] − 8y[n] = x[n+2] − 2x[n+ 1] + 4x[n] with r[n] = (1.5)"u[n], y[-1] = −4, y[-2] = 4. The first few sub-questions below can be answered by just substituting values into the difference equation, but for the later ones you need to derive a general expression. (d) What is the coefficient of (2)"? (e) What is the coefficient of (-4)"? (f) What is the coefficient of (1.5)"?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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Difference equations (z transforms) 1. Find an expression for y[n] if y[n+ 2] + 2y[n+ 1] − 8y[n] = x[n+ 2] − 2x [n + 1] + 4x[n] with r[n] = (1.5)"u[n], y[−1] = −4, y[-2] = 4. The first few sub-questions below can be answered by just substituting values into the difference equation, but for the later ones you need to derive a general expression. (d) What is the coefficient of (2)"? (e) What is the coefficient of (-4)"? (f) What is the coefficient of (1.5)"?
Transcribed Image Text:Difference equations (z transforms) 1. Find an expression for y[n] if y[n+ 2] + 2y[n+ 1] − 8y[n] = x[n+ 2] − 2x [n + 1] + 4x[n] with r[n] = (1.5)"u[n], y[−1] = −4, y[-2] = 4. The first few sub-questions below can be answered by just substituting values into the difference equation, but for the later ones you need to derive a general expression. (d) What is the coefficient of (2)"? (e) What is the coefficient of (-4)"? (f) What is the coefficient of (1.5)"?
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