If there is an very narrow band system that experiences ultra fast fading with fading dips leading to phase fluctuations how does this increases the signal bandwith?
Dear Mr Isrie, If the fading is due to channel then probably the fluctuations will increase the frequency spread after mixing with first Local Oscillator thus requiring more bandwidth to be processed. This is as per my comprehension of the question. Do remember it is ultimately the Signal to Noise ratio that has to be maintained to coherently receive the data. Type of modulation will also be a factor.
If the signal has ultra-fast fading with phase variation with a rate d(phase)/dt =omega then this will generate a frequency at least 2 pi omega away from the original frequency. This will increase the bandwidth. It is phase or angle modulation. I suggest you read up phase modulation. The old HP application note gives a simple introduction, and can still be found on the Keysight website http://literature.cdn.keysight.com/litweb/pdf/5954-9130.pdf