Multicast transmission with nonuniform phase-shift-key modulation and convolutional coding over Rayleigh fading channels

In this paper we present simple closed-form expressions for the probability of error for M-ary phase-shift key (M-PSK) signaling over a channel with additive white Gaussian noise and nonselective Rayleigh fading. These expressions can be used to analyze the performance of standard uniform M-PSK constellations and nonuniform M-PSK constellations. Nonuniform M-PSK has previously been shown to be useful for multimedia communication, multicast transmission, and adaptive signaling. We analyze several systems that employ nonuniform M-PSK for multicast transmission over Rayleigh fading channels, and we determine the performance of nonuniform, M-PSK with convolutional coding.