Suppose the power line in the previous problem has an impulse response that may be approximated by

Question:

Suppose the power line in the previous problem has an impulse response that may be approximated by h (t) = te– atu (t), where a = 10s– 1.
(a) What does the shot noise on the power line look like? Sketch a possible member function of the shot noise process.
(b) Find the mean function of the shot noise process.
(c) Find the autocorrelation function of the shot noise process.