Signal Fractions Analysis and Safety-Distance Modeling in V2V Inter-lane Communications

TL;DR

This paper introduces a Matern hard-core process-based model to analyze signal fractions and safety distances in V2V inter-lane communications, providing new analytical tools for safety-critical vehicular network design.

Contribution

It develops a novel stochastic geometric framework using Matern hard-core processes to accurately model safety distances and signal fractions in V2V networks.

Findings

Derived closed-form PDFs for communication distances with different antenna types.

Showed the nearest vehicle within safety distance follows a uniform distribution.

Identified an upper limit for signal fraction based on transmit power.

Abstract

For vehicular networks, safety distances are important, but existing spatial models fail to characterize this parameter, especially for inter-lane communications. This work proposes a Matern hard-core processes based framework to appraise the performance of signal fractions (SF), where the hard-core distance is used to depict safety distances. By considering both semicircle and omnidirectional antennas, we derive high-accurate closed-form probability density functions of communication distances to acquire the complementary cumulative distribution function of SF. The derived expressions theoretically demonstrate that the nearest vehicle within the safety distance follows a uniform distribution and there is an upper limit for SF in terms of the transmit power.