A random process X (t) has the following member functions: x1 (t) = – 2cos (t), x2 (t) = – 2sin(t) x3 (t) = 2[cos( t) + sin(t)] x4(t) = [cos (t) – sin(t)]. Each member function occurs with equal probability.
(a) Find the mean function, µX (t).
(b) Find the autocorrelation function, RX, X (t1, t2).
(c) Is the process WSS? Is it stationary in the strict sense?