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

Vishnu Vardhan Chetlur; Harpreet S. Dhillon

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arXiv · 1804.10298

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

Vishnu Vardhan Chetlur·Harpreet S. Dhillon

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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.

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Vishnu Vardhan Chetlur, Harpreet S. Dhillon. 2018-04-26. Success Probability and Area Spectral Efficiency of a VANET Modeled as a Cox Process. https://arxiv.org/abs/1804.10298

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