I have a power signal (in dBm) which contains lots of peaks (around -80 dBm) and most of the time is around -110 dBm which we can call it noise level (obviously with fluctuations). As you know, both noise and sudden jumps to a peak value introduce high frequency components on the signal.
My question here is how to differentiate these two sources of high frequency components? I want to filter out the noise of the signal along with not loosing any meaningful part of it. I have drawn the FFT of the signal, but I cannot find any specific high frequency corresponding to the peaks. Is there any way to find it?
Thank you in advance.