Question: Consider the linear prediction random process X [n] = (1/ 2) X [n 1] + E [n] n = 1, 2, 3, , , where

Consider the linear prediction random process X [n] = (1/ 2) X [n– 1] + E [n] n = 1, 2, 3, , , where X [0] = 0 and E [n] is a zero- mean, IID random process.
(a) Find the mean and autocorrelation functions for X [n]. Is X [n] WSS?
(b) Find the PSD of X [n].

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