normally is y[n] due to the surrounding effect, where the expression is shown in the following equation x[n] → x[n] -x[n – 1] +x[n– 2] → y[n] The goal is to compute the inverse filter g[n] that recovers x[n] from y[n]., so that g[n] undoes the effect of h[n]. The flow is as stated: x[n] - h[n] → y[n] → g[n] + x[n]

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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QUESTION 2
In communication system, the tuned Radio Frequency signal x[n] that you receive is not x[n] but
normally is y[n] due to the surrounding effect, where the expression is shown in the following
equation
x[n] → x[n] -3지[n-1] +교n-2]-yln]
The goal is to compute the inverse filter g[n] that recovers x[r] from y[n], so that g[r] undoes
the effect of h[n]. The flow is as stated:
x[n] – h[n] – y[n] – g[n] → x[n]
Find G[z] and g[n].
Hint:
The overall impulse response of the systems in cascade is the convolution of their impulse
responses. So we want h[n]*g[n] =&[n]. which implies Hz]G[2] = 1.
Transcribed Image Text:QUESTION 2 In communication system, the tuned Radio Frequency signal x[n] that you receive is not x[n] but normally is y[n] due to the surrounding effect, where the expression is shown in the following equation x[n] → x[n] -3지[n-1] +교n-2]-yln] The goal is to compute the inverse filter g[n] that recovers x[r] from y[n], so that g[r] undoes the effect of h[n]. The flow is as stated: x[n] – h[n] – y[n] – g[n] → x[n] Find G[z] and g[n]. Hint: The overall impulse response of the systems in cascade is the convolution of their impulse responses. So we want h[n]*g[n] =&[n]. which implies Hz]G[2] = 1.
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