Downlink coverage probability in cellular networks with Poisson-Poisson cluster deployed base stations

TL;DR

This paper derives an exact, numerically computable formula for downlink coverage probability in cellular networks with base stations modeled as Poisson-Poisson cluster processes, filling a key gap in the analysis of such networks.

Contribution

It provides the first exact derivation of coverage probability for PPCP-modeled base stations in a fundamental cellular network setup.

Findings

Numerical results match Monte Carlo simulations.

Derived formula enables efficient coverage probability computation.

Fills a gap in modeling heterogeneous cellular networks.

Abstract

Poisson-Poisson cluster processes (PPCPs) are a class of point processes exhibiting attractive point patterns. Recently, PPCPs are actively studied for modeling and analysis of heterogeneous cellular networks or device-to-device networks. However, surprisingly, to the best knowledge of the author, there is no exact derivation of downlink coverage probability in a numerically computable form for a cellular network with base stations (BSs) deployed according to a PPCP within the most fundamental setup such as single-tier, Rayleigh fading and nearest BS association. In this paper, we consider this fundamental model and derive a numerically computable form of coverage probability. To validate the analysis, we compare the results of numerical computations with those by Monte Carlo simulations and confirm the good agreement.