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arXiv 2301.02469eess.SPcs.ITmath.ITmath.PR
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Cox点过程用于多高度低地球轨道卫星网络

Cox Point Processes for Multi Altitude LEO Satellite Networks

Chang-Sik Choi, François Baccelli

AI总结:

本文提出一种可变高度泊松轨道过程与Cox点过程模型,用于多星座LEO卫星网络,并推导距离分布、中断概率等关键统计量,以评估系统性能。

摘要:

为了对利用多个星座的现有或未来低地球轨道(LEO)卫星网络进行建模,我们提出了一种简单的分析方法来表示卫星在轨道上的聚集性。更具体地说,我们开发了一个可变高度的泊松轨道过程,该过程有效捕获了卫星始终位于轨道上且这些轨道高度可能变化的几何事实。在轨道过程条件下,位于这些轨道上的卫星被建模为线性泊松点过程,从而形成Cox点过程。对于该模型,我们推导了有用的统计量,包括典型用户到其最近可见卫星的距离分布、中断概率、所提出的Cox卫星点过程的拉普拉斯泛函,以及一般衰落条件下Cox分布卫星干扰功率的拉普拉斯变换。所推导的统计量使得能够评估此类LEO卫星通信系统性能作为网络参数的函数。

英文摘要:

To model existing or future low Earth orbit (LEO) satellite networks leveraging multiple constellations, we propose a simple analytical approach to represent the clustering of satellites on orbits. More precisely, we develop a variable-altitude Poisson orbit process that effectively captures the geometric fact that satellites are always positioned on orbits, and these orbits may vary in altitude. Conditionally on the orbit process, satellites situated on these orbits are modeled as linear Poisson point processes, thereby forming a Cox point process. For this model, we derive useful statistics, including the distribution of the distance from the typical user to its nearest visible satellite, the outage probability, the Laplace functional of the proposed Cox satellite point process, and the Laplace transform of the interference power from the Cox-distributed satellites under general fading. The derived statistics enable the evaluation of the performance of such LEO satellite communication systems as functions of network parameters.

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。

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