In the received amplitude-modulated signal
si(t) = A[1 + m(t)]cos2PIfct
m(t) has the power spectral density
G(m)(f) = (n_m/2)(|f|/fm), |f| <= fm or 0, |f| > fm
The received signal is accompanied by noise spectral density n/2.
The output signal-to-noise ratio is then?
Using the Fourier transform find the corresponding power spectral density can be found where GM(f) is the given power spectral density. Since we have found the bandwidth is we can determine the noise power.