Interference and error probability evaluation in multiservice interference limited wireless ad hoc networks

Wael Bazzi, Fakhri Karray

Abstract: In this work, we provide a mathematical framework for estimating the expected value of the carrier to interference ratio and evaluating the probability of error in a wireless ad hoc network. Our approach differs from the earlier studies in that previous valuable work has been mostly based on simulations, on simplified regular patterns for node distribution, has been limited to single service networks, or has not integrated the medium access model in the network. In our analysis, we consider a multiservice interference limited wireless ad hoc network using a multiple access scheme with carrier sensing at the data link layer. The population of nodes in the network is considered as a number governed by a two-dimensional Poisson process. We derive explicit formulas for the carrier to interference ratio and probability of error experienced by nodes in the network. Numerical results are provided for the case of two service classes, where carrier to interference ratios and probabilities of packet loss experienced by nodes in the network are presented as functions of the node densities.