A discrete-time system is given by Y[n] = aY[n - 1] + X[n] where Ja

A discrete-time system is given by Y [n] = aY[n 1] + X [n] where lal < 1 The input X [n] is discrete-time white noise with average The impulse response h[n] of the system defined by h[n] = ah[n 1] -+ [n]. Find the spectral density and average power of the output Y [n]