Interference modelling in cellular networks with β-Ginibre point process deployed base stations

Spatial models for the locations of base stations (BSs) in cellular networks have long been desirable since they play a pivotal role in evaluating the mutual interference and, hence, overall performance of the network. The Poisson point process (PPP) is the most analytically tractable and widely used model for the location of BSs, but it fails to capture the underlying separation between the BSs of cellular networks. In this paper we use the most recent proposed model, the β-Ginibre point process (β-GPP), for the locations of BSs to capture the underlying separation between them. Simple yet accurate approximations for the Laplace transform of interference are still missing from the research literature for a β-GPP model. We address this shortcoming, and provide an approximate expression for the Laplace transform of interference using the diagonal approximation for computing the determinant of the kernel matrix K of a β-GPP. We apply that expression to derive a simple computable integral representation for the coverage probability of a typical user under the assumption of a Rayleigh fading channel. To show the accuracy of our derived expression, we compare it with that obtained by simulations and existing results in literature for different values of β. Further, we show that for the value of β=0, our derived expression become equal to the PPP case. Here, we also provide the extensive simulation results to validate the accuracy of our derived analytical expressions.