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ADDENDUM Details of the Derivation of the Probability of Coverage for\n the Relaying Scheme (Section IV in the paper: "A Poisson Line Process based\n Framework for Determining the Needed RSU Density and Relaying Hops in\n Vehicular Networks'')

2020/06/19 by Hussein A. Ammar, Ammar, Hussein A., Abdel-karim Ajami +3
Computer Science · Engineering · #Advanced MIMO Systems Optimization #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Information Theory (cs.IT) #Vehicular Ad Hoc Networks (VANETs) #Wireless Communication Security Techniques

paper · pdf · doi:10.48550/arxiv.2006.11434

openalex publication_date 2020/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper develops a framework to study multi-hop relaying in a vehicular\nnetwork consisting of vehicles and Road Side Units (RSUs), and the effect of\nthis relaying on the network coverage and the communication delay. We use a\nstochastic geometry model that consists of a combination of Poisson Line\nProcess (PLP) and 1D Poisson Point Process (PPP) to reliably characterize the\nvehicular network layout and the locations of the vehicles and the RSUs. Using\nthis model, we analyze the effect of the different network parameters on the\ncoverage provided by the RSUs to the vehicles. Then, we investigate how the\nuncovered vehicles can receive their intended packets by relaying them through\nmultiple hops that form connected paths to the RSUs. We also analyze the delay\nintroduced to packet delivery due to multi-hop relaying. Namely, we present\nresults that illustrate the coverage gains achieved through multi-hop relaying\nand the delays induced. Such results could be used by network planners and\noperators to decide on the different configurations and operational parameters\nof the vehicular network to suit particular scenarios and objectives.\n

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