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Optimum Coherent Phase and Frequency Demodulation of a Class of Modulating Spectra

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2 Author(s)

The optimum phase-locked loop demodulator is obtained for a carrier, phase modulated by a stationary Gaussian modulating process whose spectrum is proportional to 1/1 + (f/B)2n where n is any positive integer. Results are obtained also when the carrier is frequency modulated by the process for the limiting cases n = 1 and as n approaches infinity. It is shown that for phase modulation the output SNR as a function of the channel SNR in the bandwidth B varies from linear to exponential behavior as n increases from 1 to ¿. For the limiting cases the performance of frequency modulation is slightly inferior to that for phase modulation.

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IEEE Transactions on Space Electronics and Telemetry  (Volume:10 ,  Issue: 3 )