Modelling and analysis of repulsive cellular networks using Matérn hard‐core point processes

Abstract The repulsive nature of Matérn hard‐core point process makes it well‐suited for modelling base station placements, where proximity constraints are critical. This letter reexamines the spatial properties of the model and proposes an empirical Weibull approximation for the contact distance distribution, where the shape and scale parameters can be reliably estimated through tractable regression models. Additionally, the probability generating functional is approximated using an exponential upper bound, simplifying the computation of the Laplace transform of interference. From these results, analytically tractable expressions are derived for the probability of coverage and average data rate. Simulations validate the accuracy of these analytical estimates.