Satellite Coverage Probability With Multi-RIS Deployments Under Correlated LoS Conditions

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Abstract
Urban environments pose a fundamental challenge to millimeter-wave (mmWave) satellite communications (SatCom) by introducing spatially correlated line-of-sight (LoS) blockage, also known as shadowing, which degrades reliability, even with the assistance of reconfigurable intelligent surfaces (RIS). We develop a tractable analytical framework to evaluate the success probability of SatCom systems aided by multi-RIS deployments while considering the crucial factor of correlated LoS conditions. First, we derive an analytical closed-form expression for the exact per-realization success probability. To address the intractability of averaging over minimum-distance constrained (repulsive) RIS deployments, we propose a geometry-averaged formulation by approximating the Matérn hard-core (MHC) process with an inhomogeneous PPP (IPPP) of a known conditional intensity. We then propose a scalable annular-averaging method that replaces the radial integral with ringwise averages, enabling efficient large-scale analysis. Monte Carlo simulations confirm the model’s validity and reveal the impact of blockage intensity, correlation decay, and RIS–user separation, thus providing practical guidelines for RIS deployment to assist future non-terrestrial networks.
Funding Information
  • Australian Research Council (ARC) Discovery Project (DP220103281)
  • Future Fellowship (FT210100728)

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