Accurate evaluation for M-phase signaling over arbitrary correlated fading channels

The central issue to the error probability analysis of M-phase signaling is to determine the phase distribution of the received signal. In this paper, we take a novel approach by formulating the phase distribution in terms of joint moment generating functions (MGFs) of the real and imaginary parts of the decision variable at the receiver output. We further derive fast convergent formulas by using the two-dimensional (2-D) inverse Laplace transform enabling us to accurately evaluate the phase distribution. The new technique is very general, taking into account the effects of arbitrary diversity order, symbol alphabet size M, and arbitrary diversity branch correlation. Numerical results are also presented for illustration.