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 article applies stochastic geometry to investigate the interference dynamics in a network of nodes that use carrier sense multiple access (CSMA). This type of network is approximated by a Matérn 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 an arbitrary location. Results show that even though the commonly used Poisson approximation to CSMA may have the same average interference as the Matérn model, the interference dynamics behaves significantly different. In this way, this study reveals a pitfall in the modeling of wireless systems and contributes to the theory of interference calculus.
Highlights
1.1 MotivationTHE modeling and analysis of interference in wireless networks by means of stochastic geometry [1] has become popular in the course of the past 15 years
We show that interference correlation in Matern networks is significantly different from that in Poisson networks, which leads to the qualitative conclusion that a Poisson point process (PPP) is unsuited to capture second-order properties of carrier sense multiple access (CSMA) networks
We show that there is a significant difference between PPPs and Matern hard-core point process (MPP), and it is to be assumed that the correlation is significantly different for ALOHA and carrier sensing MAC
Summary
THE modeling and analysis of interference in wireless networks by means of stochastic geometry [1] has become popular in the course of the past 15 years (see [2], [3], [4]). A common network model includes uniformly randomly distributed nodes employing slotted ALOHA for medium access and Poisson arrival of transmission demands This leads to uniformly distributed senders for interference analysis, which can be modeled by a Poisson point process (PPP). A better, very natural choice to model the senders in networks with carrier sensing is the Matern hard-core point process (MPP) [17] It introduces a guard circle around each sender in which no other node is allowed to send (see [3], [18]). This resembles the carrier sensing and is, suited for any kind of wireless network with spatial reservation of a transmission floor. The article at hand intends to fill this research gap with special emphasis on the stochastic analysis of interference dynamics
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