Success Probability and Area Spectral Efficiency of a VANET Modeled as a Cox Process

TL;DR

This paper models VANETs as a Cox process with Poisson line and point processes, analyzing success probability and ASE, revealing convergence to simpler models and optimal transmission strategies.

Contribution

It introduces a Cox process model for VANETs, providing new insights into success probability, ASE, and optimal transmission probabilities compared to traditional PPP models.

Findings

Success probability converges to 1D and 2D PPP models at extreme densities.

Optimal transmission probability for ASE differs significantly from simpler models.

The model offers a more accurate representation of VANET performance.

Abstract

This paper analyzes the performance of a vehicular ad hoc network (VANET) modeled as a Cox process, where the spatial layout of the roads is modeled by a Poisson line process (PLP) and the locations of nodes on each line are modeled as a 1D Poisson point process (PPP). For this setup, we characterize the success probability of a typical link and the area spectral efficiency (ASE) of the network assuming slotted ALOHA as the channel access scheme. We then concretely establish that the success probability of a typical link in a VANET modeled using a Cox process converges to that of a 1D and 2D PPP for some extreme values of the line and node densities. We also study the trends in success probability as a function of the system parameters and show that the optimum transmission probability that maximizes the ASE for this Cox process model differs significantly from those of the relatively-simpler 1D and 2D PPP models used commonly in the literature to model vehicular networks.