一种基于Cox点过程的LEO与MEO卫星网络新型解析模型
A Novel Analytical Model for LEO and MEO Satellite Networks based on Cox Point Processes
AI总结：
本文提出基于Cox点过程的解析模型，准确刻画LEO/MEO卫星沿轨道分布特性，并推导无卫星概率、干扰拉普拉斯变换及覆盖概率，为卫星网络系统级设计优化提供工具。
摘要：
本文利用随机几何工具，为低地球轨道（LEO）或中地球轨道（MEO）卫星通信的下行链路开发了一个解析框架。我们提出了一种易于处理的方法来分析此类卫星通信系统，并考虑了卫星位于圆形轨道上这一事实。通过开发一个联合生成轨道及轨道上卫星的Cox点过程模型，我们准确地纳入了LEO或MEO卫星星座的这一几何特性。我们的工作与以往假定卫星位置完全随机的建模研究形成对比，那些研究忽视了卫星是联合分布在轨道上这一基本事实。利用该Cox模型，我们分析了位于地球上的用户体验到的网络性能。具体而言，我们评估了所提出网络的无卫星概率以及该网络产生的干扰的拉普拉斯变换。利用该变换，我们计算了其SIR（信号干扰比）分布，即覆盖概率。通过将基本网络性能表示为关键参数的函数，该模型使人们能够评估下行LEO或MEO卫星通信的统计特性，因此可作为一种系统级设计工具，用于运营和优化未来复杂的LEO或MEO卫星网络。
英文摘要：
This work develops an analytical framework for downlink low Earth orbit (LEO) or medium Earth orbit (MEO) satellite communications, leveraging tools from stochastic geometry. We propose a tractable approach to the analysis of such satellite communication systems, accounting for the fact that satellites are located on circular orbits. We accurately incorporate this geometric property of LEO or MEO satellite constellations by developing a Cox point process model that jointly produces orbits and satellites on these orbits. Our work contrasts with previous modeling studies that presumed satellite locations to be entirely random, thereby overlooking the fundamental fact that satellites are jointly positioned on orbits. Employing this Cox model, we analyze the network performance experienced by users located on Earth. Specifically, we evaluate the no-satellite probability of the proposed network and the Laplace transform of the interference created by such a network. Using it, we compute its SIR (signal-to-interference) distribution, namely its coverage probability. By presenting fundamental network performance as functions of key parameters, this model allows one to assess the statistical properties of downlink LEO or MEO satellite communications and can thus be used as a system-level design tool to operate and optimize forthcoming complex LEO or MEO satellite 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。
