An error bound analysis for M-DPSK in frequency-selective Rayleigh fading channel with diversity reception

A theoretical upper bound is presented to calculate the error probability for raised cosine filtered M-ary differential phase-shift keying (RC M-DPSK) in frequency-selective Rayleigh fading channels. This analysis also allows the use of postdetection maximal-ratio diversity combining. The effect of delay spread and filter roll-off are also considered in the formulation. The irreducible error probabilities for 2, 4, 8 and 16-DPSK are compared with first and second order diversity reception. The numerical results show similar irreducible error performances for 4 and 8-DPSK with both performing better compared to B-DPSK and 16-DPSK. When diversity is applied, the performance of 4-DPSK is superior to that of other levels. The irreducible error performance of 4, 8 and 16-DPSK is shown to be better than B-DPSK in frequency selective fading channels.<
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