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Determine the frequency response H(e) and the impulse response h[n] for the system whose input is x[n] and output is y[n]: y[n] = x[n] -0.5 x[n 1]

Determine the frequency response H(e) and the impulse response h[n] for the system whose input is x[n] and output is y[n]: y[n] = x[n] -0.5 x[n 1]

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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Determine the frequency response H(e) and the impulse response h[n] for the system whose input is x[n] and output is y[n]: y[n] = x[n] -0.5 x[n 1]
Transcribed Image Text:Determine the frequency response H(e) and the impulse response h[n] for the system whose input is x[n] and output is y[n]: y[n] = x[n] -0.5 x[n 1]
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Step 1: Introduction about the given question

In this question, we need to determine the frequency response H(ejw) and impulse response of the given system. 


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As we know that H(ejw) = 1-0.5e-jw, is there a way to rearrange it so that we can use the Fourier Transform pair in the picture?

a" u[n], a < 1 1 1-ae-jw
Transcribed Image Text:a" u[n], a < 1 1 1-ae-jw
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