Problem 4. WSS and Signal Detection. a. Consider a real Gaussian random sequence x(n), n an...

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Problem 4. WSS and Signal Detection. a. Consider a real Gaussian random sequence x(n), n an integer, with E[x(n)] = 0, E[x(n)] = 1, E[x(n)x(m)] = pln-m| where 0 < p < 1. Let x(n) y(n) = n #0 n 0. n = 0. i. Is x(n) wide sense stationary? ii. Find the covariance of y(n) and state whether or not it is wide sense stationary. Problem 4. WSS and Signal Detection. a. Consider a real Gaussian random sequence x(n), n an integer, with E[x(n)] = 0, E[x(n)] = 1, E[x(n)x(m)] = pln-m| where 0 < p < 1. Let x(n) y(n) = n #0 n 0. n = 0. i. Is x(n) wide sense stationary? ii. Find the covariance of y(n) and state whether or not it is wide sense stationary.