2018/03/16 by Naoto Miyoshi, Miyoshi, Naoto
Economics, Econometrics and Finance · Mathematics · Social Sciences · #60G55 (Primary) 94A05 (Secondary) #FOS: Computer and information sciences #FOS: Mathematics #Human Mobility and Location-Based Analysis #Information Theory (cs.IT) #Point processes and geometric inequalities #Probability (math.PR) #Spatial and Panel Data Analysis
paper · pdf · doi:10.48550/arxiv.1803.06172
openalex publication_date 2018/03/16 · openalex created_date 2018/03/29 · openalex updated_date 2026/07/28
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.