Let r[n] be the random process that is generated by filtering white noise w[n] ~ N(0, 2) with a discrete-time filter that is designed by applying the bilinear transform to a continuous-time filter....

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Extracted text: Let r[n] be the random process that is generated by filtering white noise w[n] ~ N(0, 2) with a discrete-time filter that is designed by applying the bilinear transform to a continuous-time filter. The system function of the continuous-time filter is given as 2(s+1) 3s +1 H(s) = For the sampling period Ta = 2, find the transfer function of the system H(2). а. %3D b. Find the power spectrum Pw(z) of w[n] and Px(z) of x[n].