(a) Determine the power spectra for the random processes generated by the following diff...

(a) Determine the power spectra for the random processes generated by the following difference equations.

1. x(n) = —0.81x (n — 2) + w(n) — w(n — 1)

2. x(n) = w(n) — w(n — 2)

3. x(n) —0.81x (n — 2) + w(n)

where w(n) is a white noise process with variance. .

(b) Sketch the spectra for the processes given in part (a).

(c) Determine the autocorrelation for the processes in (2) and (3).