Distributed Rate Control for High Reliability in Poisson Bipolar Networks

Abstract

Reliable communication is a key requirement in wireless networks. For ad hoc networks, satisfying this requirement is challenging due to the interference caused by uncoordinated concurrent transmissions. In this regard, we provide a simple distributed way for a transmitter to meet the target reliability in an interference-limited network. Specifically, for the Poisson bipolar network with Rayleigh fading, we propose a method for a transmitter to decide on its rate (or, equivalently, the signal-to-interference ratio threshold) such that each link in the network achieves a certain reliability. Here the distributed means that the transmitter only knows the distance from its receiver to the nearest interferer and the fading statistics. Based on this local information, we present a semi-heuristic approach to find the distribution of the signal-to- interference ratio (SIR) threshold corresponding to the total interference power from all interferers. For this purpose, we use the property of the interference that it follows a stable distribution for the standard path loss model. We show that the SIR threshold follows the Weibull distribution.