Bit error probabilities of MDPSK over correlated nonselective Rayleigh fading channel with diversity reception

We analyze the bit error probability (BEP) of differential phase shift keying (DPSK) with postdetection maximal ratio combining (MRC) in Rayleigh fading channels. The system accommodates temporal fading correlation in each channel as well as equal fading correlation and noise correlation between different diversity branches. Exact BEP results for 2DPSK and 4DPSK and a very good approximation for 8DPSK are derived in closed-form. The results are new and unify some previously published BEP results for MDPSK with diversity reception.