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...


QUESTION 2<br>In communication system, the tuned Radio Frequency signal x[n] that you receive is not x[n] but<br>normally is y[n] due to the surrounding effect, where the expression is shown in the following<br>equation<br>1<br>x[n] → x[n] –5x[n – 1] +<br>교지n - 2] →<br>- y[n]<br>-<br>-<br>The goal is to compute the inverse filter g[n] that recovers x[n] from y[n], so that g[n] undoes<br>the effect of h[n]. The flow is as stated:<br>x[n] → h[n] → y[n] → g[n] → x[n]<br>Find G[z] and g[n].<br>Hint:<br>The overall impulse response of the systems in cascade is the convolution of their impulse<br>responses. So we want h[n]* g[n] = 8[n], which implies H[z]G[z] = 1.<br>

Extracted 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 1 x[n] → x[n] –5x[n – 1] + 교지n - 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] 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] = 8[n], which implies H[z]G[z] = 1.

Jun 10, 2022
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