Communication in a Poisson Field of Interferers -- Part I: Interference Distribution and Error Probability

TL;DR

This paper develops a comprehensive mathematical model for wireless communication systems affected by interference from randomly scattered interferers, analyzing interference distribution and error probabilities under various physical conditions.

Contribution

It introduces a novel framework modeling interferers as a Poisson process, extending traditional noise analysis to include network interference effects for diverse modulation schemes.

Findings

Derived the distribution of aggregate interference in Poisson fields.

Characterized error probabilities including outage and average error rates.

Validated the model for various physical parameters affecting interference.

Abstract

We present a mathematical model for communication subject to both network interference and noise. We introduce a framework where the interferers are scattered according to a spatial Poisson process, and are operating asynchronously in a wireless environment subject to path loss, shadowing, and multipath fading. We consider both cases of slow and fast-varying interferer positions. The paper is comprised of two separate parts. In Part I, we determine the distribution of the aggregate network interference at the output of a linear receiver. We characterize the error performance of the link, in terms of average and outage probabilities. The proposed model is valid for any linear modulation scheme (e.g., M-ary phase shift keying or M-ary quadrature amplitude modulation), and captures all the essential physical parameters that affect network interference. Our work generalizes the conventional analysis of communication in the presence of additive white Gaussian noise and fast fading, allowing the traditional results to be extended to include the effect of network interference. In Part II of the paper, we derive the capacity of the link when subject to network interference and noise, and characterize the spectrum of the aggregate interference.