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Consider a discrete-time LTI system described by the following difference equation, where x[n] is the system input and y[n] is the system output. y[n] +0.369y[n − 2] +0.196y[n − 4] = 0.207x[n] — 0.413x[n − 2] +0.207x[n - 4] a) Find and plot the frequency response (both the magnitude response and the phase response) of this system. b) How would you characterize the frequency selective behavior of this system: low-pass, band-pass, or high-pass?

Consider a discrete-time LTI system described by the following difference equation, where x[n] is the system input and y[n] is the system output. y[n] +0.369y[n − 2] +0.196y[n − 4] = 0.207x[n] — 0.413x[n − 2] +0.207x[n - 4] a) Find and plot the frequency response (both the magnitude response and the phase response) of this system. b) How would you characterize the frequency selective behavior of this system: low-pass, band-pass, or high-pass?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Consider a discrete-time LTI system described by the following difference equation, where x[n] is the system input and y[n] is the system output. y[n] +0.369y[n − 2] + 0.196y[n − 4] = 0.207x[n] – 0.413x[n – 2] +0.207x[n − 4] a) Find and plot the frequency response (both the magnitude response and the phase response) of this system. b) How would you characterize the frequency selective behavior of this system: low-pass, band-pass, or high-pass?
Transcribed Image Text:Consider a discrete-time LTI system described by the following difference equation, where x[n] is the system input and y[n] is the system output. y[n] +0.369y[n − 2] + 0.196y[n − 4] = 0.207x[n] – 0.413x[n – 2] +0.207x[n − 4] a) Find and plot the frequency response (both the magnitude response and the phase response) of this system. b) How would you characterize the frequency selective behavior of this system: low-pass, band-pass, or high-pass?
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