Interference Functionals in Poisson Networks

TL;DR

This paper introduces a new theorem for calculating expected sum-product functionals of Poisson point processes, enhancing the analysis of interference in wireless networks with Nakagami fading.

Contribution

It presents a novel interference functional theorem and applies it to derive outage probabilities in Poisson wireless networks, extending stochastic geometry tools.

Findings

Derived outage probabilities for Nakagami fading networks

Extended stochastic geometry methods for interference analysis

Provided a new mathematical framework for interference functionals

Abstract

We propose and prove a theorem that allows the calculation of a class of functionals on Poisson point processes that have the form of expected values of sum-products of functions. In proving the theorem, we present a variant of the Campbell-Mecke theorem from stochastic geometry. We proceed to apply our result in the calculation of expected values involving interference in wireless Poisson networks. Based on this, we derive outage probabilities for transmissions in a Poisson network with Nakagami fading. Our results extend the stochastic geometry toolbox used for the mathematical analysis of interference-limited wireless networks.