This paper analyzes statistical properties of the Poisson line Cox point process useful in the modeling of vehicular networks. The point process is created by a two-stage construction: a Poisson line process to model road infrastructure and independent Poisson point processes, conditionally on the Poisson lines, to model vehicles on the roads. We derive basic properties of the point process, including the general quadratic position of the points, the nearest distance distribution, the Laplace functional, the densities of facets of the Cox-Voronoi tessellation, and the asymptotic behavior of the typical Voronoi cell under vehicular densification. These properties are closely linked to features that are important in vehicular networks.
ADDENDUM Details of the Derivation of the Probability of Coverage for the Relaying Scheme (Section IV in the paper: "A Poisson Line Process based Framework for Determining the Needed RSU Density and Relaying Hops in Vehicular Networks'')
Shortest Path Lengths in Poisson Line Cox Processes: Approximations and Applications
Department of Electrical Engineering, IIT Delhi(德里印度理工学院电气工程系);DYOGENE team, INRIA Paris(INRIA巴黎研究所DYOGENE团队);Department of Electrical Engineering, University of Notre Dame(圣母大学电气工程系)
Modeling and Analysis of Sensing Assisted UAV Networks for Urban Vehicular Communications
Central Institute of Technology Kokrajhar(科克拉贾哈尔中央理工学院);National Institute of Technology Calicut(卡利卡特国家技术学院);Indian Institute of Technology Kanpur(坎普尔印度理工学院)
Outlier Detection of Poisson-Distributed Targets Using a Seabed Sensor Network
Georgia Southern University(佐治亚南方大学);Virginia Polytechnic Institute and State University(弗吉尼亚理工大学和州大学);Johns Hopkins University Applied Physics Laboratory(约翰霍普金斯大学应用物理实验室)
Modeling and Statistical Characterization of Large-Scale Automotive Radar Networks
Bharti School of Telecommunication Technology and Management, IIT Delhi(印度德里理工学院电信技术与管理学院);Department of Electrical Engineering, IIT Delhi(印度德里理工学院电气工程系);Department of Electronics and Communication Engineering, IIIT Delhi(印度德里信息理工学院电子与通信工程系)
The Meta Distribution of the SIR in Linear Motorway VANETs
信干比(SIR)的Meta分布是无线网络的重要性能指标,因为对于遍历点过程,它描述了在点过程上有条件地实现一定可靠性的调度链路的分数。Meta分布的矩的计算需要点过程的概率生成泛函(PGFL)。在高速公路上的车载自组织网络中,泊松点过程(Poisson point process,PPP)是一个很差的部署模型,因为高速公路上的驾驶员需要保持很大的安全距离。在本文中,我们建立了一个模型,车间距的分布等于一个常数的硬核距离和一个指数分布的随机变量的总和。我们设计了一个新的\emph{discretization model}的车辆位置,可以用来近似PGFL由于硬核点过程和Meta分布的SIR从合成高速公路痕迹。另一方面,由于核心过程,PPP显著高估了Meta分布的变异系数,其预测失败。此外,我们表明,Meta分布的计算变得特别有意义的SIR分布的上尾。