arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1801.04556cs.ITmath.IT
收藏

车辆网络的Poisson Cox点过程

Poisson Cox Point Processes for Vehicular Networks

Chang-Sik Choi, François Baccelli

摘要:

分析了车辆网络模型中泊松线Cox点过程的统计性质。点过程是由两个阶段的建设:一个泊松线过程模型的道路基础设施和独立的泊松点过程,有条件的泊松线,模型的道路上的车辆。我们得到的点过程的基本性质,包括一般的二次位置的点,最近的距离分布,拉普拉斯功能,面的Cox-Voronoi镶嵌的密度,和车辆致密化下的典型Voronoi细胞的渐近行为。这些属性与车辆网络中重要的功能密切相关。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑