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fm is analog transmission......its clearer than am only bcos of the power spectral density being larger....the noise being spread in all the β+1 side bands on both sides....it can be digitised but i dont know if its actually done....also bcos the power wasted in the carrier is much less compared to am.....
FM is analog, but in FSK (FSK is digital) , it has similarities to FM.
the difference in FSK: it onty uses 3 sets of frequency to be translated as rest, mark or space frequency. these frequencies represents the digital information signal as a 0 or 1 (in space and mark frequencies) and rest frequency represents the "off" state of the transmission (just to difference with the space frequency which represents 0).