On Interference Dynamics in Mat\'ern Networks

TL;DR

This paper analyzes the temporal interference dynamics in carrier sense multiple access wireless networks modeled by Matérn hard-core processes, revealing significant differences from Poisson approximations in variance, covariance, and correlation.

Contribution

It introduces the first stochastic geometry analysis of interference dynamics in CSMA networks modeled by Matérn processes, providing new analytical expressions.

Findings

Interference variance, covariance, and correlation differ significantly from Poisson models.

Matérn process models capture interference dynamics more accurately in CSMA networks.

Results inform better interference management and protocol design.

Abstract

A thorough understanding of the temporal dynamics of interference in wireless networks is crucial for the design of communication protocols, scheduling, and interference management. This paper applies stochastic geometry to investigate interference dynamics for the first time in a network with nodes that use carrier sense multiple access. This type of networks is approximated by a Mat\'ern hard-core point process of type II with Nakagami fading. We derive and analyze expressions for the variance, covariance, and correlation of the interference power at a given point in space. Results show that even though the commonly used Poisson approximation to carrier sense multiple access may have the same average interference than the Mat\'ern model, the three interference dynamics measurements investigated behave significantly different.