Mean Interference in Hard-Core Wireless Networks

TL;DR

This paper analyzes the average interference in Matérn hard-core processes used to model CSMA networks, revealing significant differences from Poisson models, especially for type I processes.

Contribution

It provides explicit formulas for mean interference in Matérn hard-core processes and compares their behavior with Poisson processes, highlighting key differences.

Findings

Type I processes show exponential increase in interference with hard-core distance.

Type II processes have a bounded interference gap of less than 1 dB.

The models differ significantly despite similar densities.

Abstract

Mat\'ern hard core processes of types I and II are the point processes of choice to model concurrent transmitters in CSMA networks. We determine the mean interference observed at a node of the process and compare it with the mean interference in a Poisson point process of the same density. It turns out that despite the similarity of the two models, they behave rather differently. For type I, the excess interference (relative to the Poisson case) increases exponentially in the hard-core distance, while for type II, the gap never exceeds 1 dB.