Consider a random process x n that is the response of the linear time invariant system shown in Figure P2 89 1 In the figure, w n represents a real zero mean stationary white noise process with (a) Express x 2 n in terms of xx n or xx (e j ) (b) Determine xx (e j ), the power density spectrum of x n (c) Determine xx n , the correlation function of x n 1 H(e) w n 1 0 5 e x n

Question: Consider a random process x[n] that is the response of the linear time-invariant system shown in Figure P2.89-1. In the figure, w[n] represents a real

Consider a random process x[n] that is the response of the linear time-invariant system shown in Figure P2.89-1. In the figure, w[n] represents a real zero-mean stationary white-noise process with?

1 H(e) = w{n] 1-0.5 e- x[n].

(a) Express ?{x²[n]} in terms of ?_xx[n] or ?_xx(e^j?).

(b) Determine ?_xx(e^j?), the power density spectrum of x[n].?

1 H(e) = w{n] 1-0.5 e- x[n].

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