The Intensity Matching Approach: A Tractable Stochastic Geometry Approximation to System–Level Analysis of Cellular Networks

Marco Di Renzo (1) , Wei Lu (1) , Peng Guan (1)

1 L2S - Laboratoire des signaux et systèmes

The intensity matching approach for tractable performance evaluation and optimization of cellular networks is introduced. It assumes that the base stations are modeled as the points of a Poisson point process (PPP) and leverages stochastic geometry for system-level analysis. Its rationale relies on observing that system-level performance is determined by the intensity measure of transformations of the underlaying spatial PPP. By approximating the original system model with a simplified one, whose performance is determined by a mathematically convenient intensity measure, tractable yet accurate integral expressions for computing area spectral efficiency and potential throughput are provided. The considered system model accounts for many practical aspects that, for tractability, are typically neglected, e.g., line-of-sight (LOS) and non-LOS propagation, antenna radiation patterns, traffic load, practical cell associations, and general fading channels. The proposed approach, more importantly, is conveniently formulated for unveiling the impact of several system parameters, e.g., the density of base stations and blockages. The effectiveness of this novel and general methodology is validated with the aid of empirical data for the locations of base stations and for the footprints of buildings in dense urban environments.

Keywords: Index Terms Ultra-Dense Cellular Networks; Poisson Point Processes; Stochastic Geometry

Domains: Networking and Internet Architecture [cs.NI]

Marco Di Renzo, Wei Lu, Peng Guan. The Intensity Matching Approach: A Tractable Stochastic Geometry Approximation to System–Level Analysis of Cellular Networks. IEEE Transactions on Wireless Communications, 2016, 15 (9), pp.5963-5983. ⟨10.1109/twc.2016.2574852⟩. ⟨hal-01765338⟩