Load on the Typical Poisson Voronoi Cell With Clustered User Distribution

Abstract

In this letter, we characterize the distribution of the number of users associated with the typical base station (BS), termed the typical cell load , in a cellular network where the BSs are distributed as a homogeneous Poisson point process (PPP) and the users are distributed as an independent Poisson cluster process (PCP). In this setting, we derive the exact expressions for the first two moments of the typical cell load. Given the computational complexity of evaluating the higher moments, we derive easy-to-use approximations for the probability generating function (PGF) of the typical cell load, which can be inverted to obtain the probability mass function (PMF).