Q2. The impulse response of a discrete-time system is specified as x[n] = 2{8[n] - {()" «n1}. g. Find the z-transform, X(z), of x[n]. h. Plot the pole-zero plot clearly showing the poles and zeros. Can you identify the type of filter? i. Find the energy spectral density for x[n]. j. Find the total energy in the impulse response, x[n]. k. Find the autocorrelation, rx[l], of x[n].

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Q2. The impulse response of a discrete-time system is specified as
x[n] = 2{8[n] {()* u[r]}.
g. Find the z-transform, X(z), of x[n].
h. Plot the pole-zero plot clearly showing the poles and zeros. Can you identify the
type of filter?
i. Find the energy spectral density for x[n].
j. Find the total energy in the impulse response, x[n].
k. Find the autocorrelation, rx [1], of x[n].
Transcribed Image Text:Q2. The impulse response of a discrete-time system is specified as x[n] = 2{8[n] {()* u[r]}. g. Find the z-transform, X(z), of x[n]. h. Plot the pole-zero plot clearly showing the poles and zeros. Can you identify the type of filter? i. Find the energy spectral density for x[n]. j. Find the total energy in the impulse response, x[n]. k. Find the autocorrelation, rx [1], of x[n].
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