(a) Determine the power spectra for the random process generated by the following difference equations.
(1) x(n) = -0.81x(n – 2) + ω(n) – ω(n – 1)
(2) x(n) = ω(n) – ω(n – 2)
(3) x(n) = -0.81x(n – 2) + ω(n)
Where ω(n) is white noise process with variance σ2ω.
(b) Sketch the spectra for the processes given in part (a).
(c) Determine the autocorrelation γxx(m) for the processes in (2) and (3).