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Consider the causal, discrete-time LTI system described by the difference equation: ylml +jyn-11-n-2] =지n-1 a) Determine the frequency response H(N) of the system. b) Determine the impulse response h[n]. c) Find the impulse response of the inverse system h-(n] that satisfies H(M)H-'N) = 1. Is the inverse system causal? d) Determine the output y[n] when x[n] = (})"-!u[n– 1] + 8[n].

Consider the causal, discrete-time LTI system described by the difference equation: ylml +jyn-11-n-2] =지n-1 a) Determine the frequency response H(N) of the system. b) Determine the impulse response h[n]. c) Find the impulse response of the inverse system h-(n] that satisfies H(M)H-'N) = 1. Is the inverse system causal? d) Determine the output y[n] when x[n] = (})"-!u[n– 1] + 8[n].

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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Consider the causal, discrete-time LTI system described by the difference equation:

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Consider the causal, discrete-time LTI system described by the difference equation: y[n] + yln– 1] –yln– 2) = - 2] = a) Determine the frequency response H(N) of the system. b) Determine the impulse response h[n]. c) Find the impulse response of the inverse system h-'(n] that satisfies H(0) H-'(1) = 1. Is the inverse system causal? d) Determine the output y[n] when x[n] = (})"-1 u[n– 1] + 8[n].
Transcribed Image Text:Consider the causal, discrete-time LTI system described by the difference equation: y[n] + yln– 1] –yln– 2) = - 2] = a) Determine the frequency response H(N) of the system. b) Determine the impulse response h[n]. c) Find the impulse response of the inverse system h-'(n] that satisfies H(0) H-'(1) = 1. Is the inverse system causal? d) Determine the output y[n] when x[n] = (})"-1 u[n– 1] + 8[n].
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