Question

3.4 Let X(t) be a zero mean WSS Gaussian random process with autocorrelation function RX(T) = e,

(a) What is the variance of X(t)?

(b) Let h(t) = 5(1)-(t-1) be the impulse response of a linear system with input X(1) and output Y(1). Find the mean and vari-

ance of y(1).

(c) Is Y(1) WSS?

(d) Find P{Y(1) > 2). Express your answer in terms of the Q function.

Question image 1