论文标题
关于由Poisson Line Cox流程建模的车辆用户的负载分布
On the Load Distribution of Vehicular Users Modeled by a Poisson Line Cox Process
论文作者
论文摘要
在这封信中,我们表征了由Poisson Line Cox Process(PLCP)模拟的车辆用户,在蜂窝宏基站(MBS)上的负载。通过均匀的2D泊松点过程(PPP)对MBS的位置进行建模,我们首先表征了泊松线过程(PLP)线(PLP)的总和弦长度分布,与典型的Poisson voronoi(PV)单元相交。使用此结果,我们得出了典型MBS上负载的确切概率质量函数(PMF)。考虑到该表达式的计算复杂性,我们为PMF提出了一个易于使用的近似值,这也非常准确。在此结果的基础上,我们还计算了为典型车辆用户服务的标记MB上的负载PMF。该结果可以表征网络中典型接收器的速率覆盖率,这也被作为有用的案例研究。
In this letter, we characterize the load on the cellular macro base stations (MBSs) due to vehicular users modeled by a Poisson line Cox process (PLCP). Modeling the locations of MBSs by a homogeneous 2D Poisson point process (PPP), we first characterize the total chord length distribution of the lines of the Poisson line process (PLP) intersecting the typical Poisson Voronoi (PV) cell. Using this result, we derive the exact probability mass function (PMF) of the load on the typical MBS. Considering the computational complexity of this expression, we propose an easy-to-use approximation for the PMF that is also remarkably accurate. Building on this result, we also compute the PMF of the load on the tagged MBS that serves the typical vehicular user. This result enables the characterization of the rate coverage of the typical receiver in the network, which is also included as a useful case study.