AI 中文总结
针对多层低地球轨道卫星物联网星座在莱斯衰落信道下性能未知的问题，提出基于随机几何的建模与分析框架，集成相关信道建模和点过程，推导关键性能指标表达式，仿真验证模型准确性与有效性，为星座研究与系统优化提供支持。
AI 中文摘要
为实现全球物联网的多卫星覆盖，低地球轨道卫星物联网星座通常包含不同高度的多层轨道。然而，由于复杂的理论建模和难以处理 的数学分析，多层低地球轨道卫星物联网星座在实际莱斯衰落卫星信道下的性能尚不清楚。为应对这些挑战，本文提出了一种基于随机几何的多层低地球轨道卫星物联网星座建模与分析框架，集成了莱斯信道建模和考克斯点过程。具体而言，引入了一种新颖的信道近似方法来克服莱斯衰落带来的复杂表达式。在此基础上，推导了关键性能指标的精确闭式表达式，包括连通概率、覆盖概率和传输速率，特别是在物联网短包传输的情况下。大量仿真结果验证了所提模型的准确性和有效性，并揭示了重要的设计见解。这些结果不仅为低地球轨道卫星物联网星座的建模和分析提供了新的理论视角，也为系统部署和优化提供了实际指导。
英文摘要
To provide multiple-satellite coverage for global Internet of Things (IoT), a low Earth orbit (LEO) satellite IoT constellation usually contains multiple-layer orbits with different altitudes. However, the performance of multiple-layer LEO satellite IoT constellations under practical Rician fading satellite channels remains unknown due to complex theoretical modeling and intractable mathematical analysis. To address these challenges, this paper proposes a stochastic geometry-based modeling and analysis framework for multiple-layer LEO satellite IoT constellations, integrating Rician channel modeling and Cox point processes. Specifically, we introduce a novel channel approximation method to overcome the intractable expressions caused by the Rician fading. Building on this method, we derive exact closed-form expressions for key performance metrics, including connectivity probability, coverage probability, and transmission rate, especially in the case of IoT short-packet transmission. Extensive simulation results validate the accuracy and effectiveness of the proposed model and reveal significant design insights. The results not only provide new theoretical perspectives for modeling and analysis of LEO satellite IoT constellations but also offer practical guidance for system deployment and optimization.
