2-Take the system G, with the input x, and output y, and an input-output relationship y(n) = x(n) + 2.x(n – 1) + 2.x(n – 2) + x(n – 3). -Find its output if {1, 2, 1}. -Using the phasors, find the amplitude, and phase of y, if x(n) = cos(wn.) Sketch the am- plitude and phase of y, as a function of w. Based on your results explain if G, is a filter. What kind?

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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2-Take the system G, with the input x, and output y, and an input-output relationship
y(n) = x(n) + 2.x(n – 1) + 2.x(n – 2) + x(n – 3).
-Find its output if
{1, 2, 1}.
-Using the phasors, find the amplitude, and phase of y, if x(n) = cos(wn.) Sketch the am-
plitude and phase of y, as a function of w. Based on your results explain if G, is a filter.
What kind?
Transcribed Image Text:2-Take the system G, with the input x, and output y, and an input-output relationship y(n) = x(n) + 2.x(n – 1) + 2.x(n – 2) + x(n – 3). -Find its output if {1, 2, 1}. -Using the phasors, find the amplitude, and phase of y, if x(n) = cos(wn.) Sketch the am- plitude and phase of y, as a function of w. Based on your results explain if G, is a filter. What kind?
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