The square wave x (t) of Figure of constant amplitude A, period T0, and delay td represents the sample function of a random process X (t). They delay is random, described by the probability density function

(a) Determine the probabilities density function of the random variable X (tk) obtained by the observing the random process X (t) at time tk.

(b) Determine the means and autocorrelation function of X (t) using ensemble-averaging.

(c) Determine the mean and autocorrelation function of X (t) using time-averaging.

(d) Establish whether or not X (t) is stationary. In what sense is itergodic?

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