Consider the linear system described by the difference equation y(n) = 0.8y(n - 1) + x...

Consider the linear system described by the difference equation

y(n) = 0.8y(n - 1) + x(n) + x(n - 1)

where x (n) is a wide-sense stationary random process with zero mean and autocorrelation

(a) Determine the power density spectrum of the output y (n).

(b) Determine the autocorrelation Y_yy (m) of the output.

(c) Determine the variance of the output.