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This paper is concerned with optimum diversity receiver structure and itsperformance analysis of differential phase shift keying (DPSK) withdifferential detection over nonselective, independent, nonidenticallydistributed, Rayleigh fading channels. The fading process in each branch isassumed to have an arbitrary Doppler spectrum with arbitrary Doppler bandwidth,but to have distinct, asymmetric fading power spectral density characteristic.Using 8-DPSK as an example, the average bit error probability (BEP) of theoptimum diversity receiver is obtained by calculating the BEP for each of thethree individual bits. The BEP results derived are given in exact, explicit,closed-form expressions which show clearly the behavior of the performance as afunction of various system parameters.

Differential Diversity Reception of MDPSK over Independent Rayleigh Channels with Nonidentical Branch Statistics and Asymmetric Fading Spectrum