Fine-Grained Stochastic Geometry Analysis of Multi-LEO Satellite Communication Networks

Abstract

Multi-LEO (low Earth orbit) satellite communication networks (mLEO-SCNs) jointly serve ground users (GUs) via multiple satellites, mitigating the limitations of individual satellite-supported systems and enhancing reliability. To quantify the performance benefits of the mLEO-SCN, in this paper, we propose a fine-grained analytical framework that aims to capture downlink signal transmission performance encompassing multi-LEO satellites to the user under two representative communication schemes, namely synchronous and sequential transmission, accounting for shadowed Rician fading. Leveraging the tool of stochastic geometry, we derive analytical expressions of the transmission success probability (TSP), the $b^{\text {th }}$ moment of the conditional TSP, and the meta distribution (MD) of signal-tonoise ratio (SNR). Extensive results validate the accuracy of the derivations, reveal the impact of key parameters, including the reliability threshold, SNR threshold, constellation altitude, and the number of serving satellites, on the network performance. These findings demonstrate that the proposed framework enables the comparison of network reliability between the two schemes in the mLEO-SCN.