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Consider the discrete-time LTI system characterized by the following difference equation with input and initial conditions specified: y[n] - 4y[n-1] + 3y[n-2] = x[n], with y[0] = 1 and y[1] =0, x[n] = (-1/2)" u[n-2]

Consider the discrete-time LTI system characterized by the following difference equation with input and initial conditions specified: y[n] - 4y[n-1] + 3y[n-2] = x[n], with y[0] = 1 and y[1] =0, x[n] = (-1/2)" u[n-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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Solve this difference equation by hand using the classical method. Verify by hand that the complete response y[n] you have found above satisfies the initial conditions and the difference equation.
Transcribed Image Text:Solve this difference equation by hand using the classical method. Verify by hand that the complete response y[n] you have found above satisfies the initial conditions and the difference equation.
Consider the discrete-time LTI system characterized by the following difference equation with input and initial conditions specified: y[n] - 4y[n-1] + 3y[n-2] = x[n], with y[0] =1 and y[1] = 0, x[n] = (-1/2)" u[n-2]
Transcribed Image Text:Consider the discrete-time LTI system characterized by the following difference equation with input and initial conditions specified: y[n] - 4y[n-1] + 3y[n-2] = x[n], with y[0] =1 and y[1] = 0, x[n] = (-1/2)" u[n-2]
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