New performance results for MDPSK with noncoherent diversity in fast Rayleigh fading

The error performance for M-ary differential phase-shift keying (MDPSK) with non-coherent diversity in fast fading was recently tackled, ending up with a very general formula applicable to various operational environments. The only drawback of this formula is its expression with a double integral which, alongside a singularity existing in the integrand, poses considerable burdens in numerical calculation. In this correspondence, by restricting to the case of independent fast Rayleigh fading channels with equal power, we show how to obtain a much simpler solution with only one integral