Suppose we want to transmit a band limited stochastic signal, S(t), on a channel disturbed by flicker noise. The spectral density of the signal is   and that of the flicker noise is   up to high...

Suppose we want to transmit a band limited stochastic signal, S(t), on a channel disturbed by flicker noise. The spectral density of the signal is

and that of the flicker noise is
  up to high frequencies.

(a) Design an optimal noise reducing filter. Make a plot of the frequency response and compute the SNR (signal-to-noise ratio).

(b) The following transfer function is not optimal,

Compute the SNR of the output signal with this filter.