Downlink Coverage Probability in Cellular Networks With Poisson–Poisson Cluster Deployed Base Stations

Poisson-Poisson cluster processes (PPCPs) are a class of point processes exhibiting attractive point patterns. Recently, PPCPs have been actively studied for modeling and analysis of heterogeneous cellular networks and device-to-device networks. However, to the best of the author's knowledge, there is no exact derivation of downlink coverage probability in a numerically computable form for a cellular network model 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 letter, we consider such a 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 good agreement.