A discrete random sequence is the input to a discrete linear filter h [n]. The output is

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A discrete random sequence is the input to a discrete linear filter h [n]. The output is Y [n]. Let Z [n] = X [n+ i] – Y [n]. Find E [Z2 [n]], in terms of the autocorrelation functions for X [n] and Y [n].and the cross- correlation function between X [n] and Y [n].
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