The received signal r (t) = s (t) +n (t) in a communication system is passed through an ideal lowpass filter (LPF) with bandwidth W and unity gain. The signal compo nent s (t) has a power spectral density
where B is the 3 dB bandwidth. The noise component n (t) has a power spectra density N0/2 for all frequencies. Determine and plot the SNR as a function of the ratio WIB. What is the filter bandwidth W that yields a maximum SNR?