On the meta distribution in spatially correlated non-Poisson cellular networks

• Main Authors: Shanshan Wang, Marco Di Renzo
• Format: Article
• Language: English
• Published: SpringerOpen 2019-06-01
• Series: EURASIP Journal on Wireless Communications and Networking
• Subjects: Cellular networks; Stochastic geometry; Inhomogeneous Poisson point processes; Meta distribution
• Online Access: http://link.springer.com/article/10.1186/s13638-019-1453-x

Abstract In this paper, we consider a cellular network in which the locations of the base stations are spatially correlated. We introduce an analytical framework for computing the distribution of the conditional coverage probability given the point process, which is referred to as the meta distribution and provides one with fine-grained information on the performance of cellular networks beyond spatial averages. To this end, we approximate, from the typical user standpoint, the spatially correlated (non-Poisson) cellular network with an inhomogeneous Poisson point process. In addition, we employ a new and recently proposed definition of the coverage probability and introduce an efficient numerical method for computing the meta distribution. The accuracy of the proposed approach is validated with the aid of numerical simulations.