Consider a simple AM based communication system where an ideal envelope detector is used

at the receiver for demodulation. Consider a sinusoidal message signal of frequency $4$ KHz$.$ The total

power of the received AM signal is $0\mathrm{.}001$ Watt and the power received in each sideband is $1104$ Watt$\mathrm{.}2$

Assume the noise at the receiver input to be zero mean AWGN with PSD N$0$

$2=109$ Watt$/$Hz$.$ What is

the baseband SNR$?$ What is the SNR in the message estimate at the detector output? $($Assume the useful

signal bandwidth to be W $=4$ KHz