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Recovering PSK from FM demodulated data

Recovering PSK from FM demodulated data

Recovering PSK from FM demodulated data

(OP)
Hi, I'm quite new to the field of communications and I've been recording satellite data for demodulation for kicks. The system I'm looking at, Orbcomm, modulates data in the form of SDPSK, or basically some form of PSK. However, there is some software that takes in a NFM demodulated version of the data:
http://www.youtube.com/watch?v=bZ6Exd9X7hM
and manages to decode it. I've been puzzling over how this demodulation works. My understanding is that PM modulated data can be recovered from the FM demodulated data by integration, but mathematically, this seems to be correct only to some scaling factor. How does one then recover the PSK data given this?

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