Statistical modeling of co-channel interference in a field of Poisson distributed interferers

Abstract

With increasing spatial reuse of the radio spectrum, co-channel interference is becoming a dominant noise source and may severely degrade the communication performance of wireless transceivers. In this paper, we consider the problem of statistical-physical modeling of co-channel interference from an annulus field of Poisson interferers. Our contributions include (1) demonstrating the applicability of the symmetric alpha stable and Middleton Class A distributions in modeling co-channel interference in various topologies of interferers, and (2) deriving analytical conditions on the system parameters for which these distributions accurately model the interference statistics. Through simulation, we compare the decay rate of tail probabilities of the empirical co-channel interference and the symmetric alpha stable, Middleton Class A, and Gaussian models for different topologies of interferers. Practical applications include co-channel interference modeling for various wireless network environments, including ad hoc and cellular networks.