Cox Models for Vehicular Networks: SIR Performance and Equivalence
Cox Models for Vehicular Networks: SIR Performance and Equivalence
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DOI：
10.1109/twc.2020.3023914
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发表时间：
2021-01
影响因子：
10.4
通讯作者：
J. Jeyaraj;M. Haenggi
中科院分区：
文献类型：
--
作者：
J. Jeyaraj;M. Haenggi
我们引入了一个通用的框架，通过定义街道系统作为$\mathbb {R}^{2}$的随机1D子集的车辆网络的建模和分析。街道系统又规定车辆的考克斯过程的随机强度测量，即，车辆在每条街道上形成独立的一维泊松点过程。在这个Coxian框架中的模型可以描述不同长度和方向的街道，形成交叉口或T形路口。街道的长度可以是无限的或有限的，并且相互独立或依赖。我们分析了不同模型的通信可靠性，其中可靠性是车辆在十字路口，T形路口或一般位置可以成功地从一定距离的发射机接收消息的概率。此外，我们引入了车辆模型之间的等效性的概念，这意味着一个代表性的模型可以作为其他模型的可靠性方面的代理。具体来说，我们证明了泊松棒过程为基础的车辆网络是等价的泊松线过程为基础的和泊松lilypond模型为基础的车辆网络，以及它们的旋转变种。
We introduce a general framework for the modeling and analysis of vehicular networks by defining street systems as random 1D subsets of $\mathbb {R}^{2}$ . The street system, in turn, specifies the random intensity measure of a Cox process of vehicles, i.e., vehicles form independent 1D Poisson point processes on each street. Models in this Coxian framework can characterize streets of different lengths and orientations forming intersections or T-junctions. The lengths of the streets can be infinite or finite and mutually independent or dependent. We analyze the reliability of communication for different models, where reliability is the probability that a vehicle at an intersection, a T-junction, or a general location can receive a message successfully from a transmitter at a certain distance. Further, we introduce a notion of equivalence between vehicular models, which means that a representative model can be used as a proxy for other models in terms of reliability. Specifically, we prove that the Poisson stick process-based vehicular network is equivalent to the Poisson line process-based and Poisson lilypond model-based vehicular networks, and their rotational variants.