The input to a digital filter is a random sequence E[Xi] = 3 and auto-covariance functionX-1, X0, X1,withk = 0Cx(m,k) = Cov( Xm, Xmtk) = 0.9 Ikl = 1otherwiseThe smoothing filter produces the output sequence: Xn Xn-1 Xn-2 Yn = 3Compute the following:(a) E[LYn] = 3(b) Var[Yn] = 0.162962963
The input to a digital filter is a random sequence E[Xi] = 3 and au…
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