Optimum Coherent Phase and Frequency Demodulation of a Class of Modulating Spectra
- 1 September 1964
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Space Electronics and Telemetry
- Vol. 10 (3), 95-102
- https://doi.org/10.1109/tset.1964.4335601
Abstract
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.Keywords
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