The narrowband noise process is passed through the system shown in the accompanying figure. In the system, the LPF has a bandwidth which is large compared to B but small compared to fo.
(a) Show that the output of the system is proportional to | GN (t)| 2, where GN (t) is the complex envelope of N (t).
(b) Find and sketch the autocorrelation function of the output of the system.