Wireless fading communication system performance evaluations via SIRP and SDP methods

Many statistical models are available for the non-line-of-sight flat-fading wireless communication channel. It is of great interest to evaluate performance bounds of wireless communication systems whose channel statistics cannot be modeled with certainty. In the past, the authors have advocated the use of moment-bound theory to obtain bounds on the performance metrics. However, these bounds may be very loose when only scanty prior knowledge of the channel is available, typically in the form of moments and of the type of probability distribution of the channel fading. In this paper we combine the theory of moment bounds with that of spherically invariant random processes (SIRP), which has been proposed as a unified theory of fading statistics, and use semi-definite programming (SDP) to show how sharper bounds of the error rate of a communication system can be computed.