Comparative Analysis of Distance Distributions for CoMP-Aided Cellular Networks Using Thomas Cluster Process

Abstract

In typical wireless networks with hotspots, e.g., shopping centers or schools, the interference is serious with dense users and small cell base stations (SBSs), where the spatial distributions of them appear in the clustering nature. Coordinated multi-point transmission (CoMP) is exploited to limit the interference and enhance the coverage of the network. As a key intermediate step in the coverage analysis of CoMP-aided cellular networks with Thomas cluster process (TCP), distance distributions are explored for two association policies: 1) <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Policy 1</i> , under which the SBSs located in the same cluster as the typical user are assumed open-access, and 2) <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Policy 2</i> , under which all SBSs are open-access. We derive the joint probability density functions (PDFs) of distances from a typical user to cooperative SBSs for the above two association policies, respectively. Distributions of the nearest distance are further proved to be a particular case of the derived joint distance distributions. Our simulations analyze the effect of distribution parameters and give insights on which scenario different association policies are fitted in.