I have a signal which is thermally occupied. The signal is filtered with an cavity, therefore the noise spectrum is simply a Lorentzian function. I was wondering what would be the resulting noise floor on a square law detector (V ~ P2). Will the signal to noise ratio just be the square of signal power / integrated noise spectrum? I am asking this since I think there should be a beating between different frequency components of the noise. Shouldn't that increase the noise floor? If so, how can it be derived? Can anyone provide literature on that?