ERROR-PROBABILITY BOUNDS FOR M-PSK AND M-DPSK AND SELECTIVE FADING DIVERSITY CHANNELS

A method is described for obtaining tight closed form bounds on the probability of error for M-ary phase-shift keying (M-PSK) and M-ary differential phase-shift keying (M-DPSK) on fading diversity channels. The channels exhibit doubly selective fading and have specular components. In addition, the random impulse responses of the diversity channels may be correlated; and the probability distributions for the fading on different diversity channels need not be the same. Error probability expressions are given for binary DPSK, 8-DPSK, and 16-DPSK modulation as examples of the application of the general method described.