Performance Analysis of Beyond 5G Networks in the Presence of Spatial Correlation between Reconfigurable Intelligent Surfaces and Base Stations

In this paper, we utilize stochastic geometry to investigate coverage probability and energy efficiency within a cellular network augmented by reconfigurable intelligent surfaces (RIS). Applying the Matern cluster process, a specialized form of the Poisson cluster process, we model the spatial relationships of base stations (BSs) and RISs. Our focus is on assessing composite channel gains under the Nakagami-m fading channel model, specifically examining both the desired signal channel and the interference channel in the context benefit of RIS-assisted transmission. To highlight the proposed system, we examine the coverage probability and sum-rate over typical users for both RIS-assisted and BS-only service scenarios with different user densities. Additionally, our contribution is complemented by various simulations that indicate RIS-assisted scenario has better results in certain situations in terms of coverage probability.