Stochastic modelling of downlink transmit power in wireless cellular networks

This paper applies stochastic geometry to model the distribution of downlink transmit power in macro base stations in mobile networks. Using data from cellular 3G deployments in the UK, we find, through hypothesis tests, that the maximum transmit powers of base stations in urban environments are independent of both the local density of base stations and the transmit power of adjacent base stations. Following this, we propose using random assignment from a fixed probability distribution as a model for base station downlink transmit power assignment. This proposed method is shown to be suitable for base station power assignment via goodness-of-fit tests. We also study how different probabilistic and deterministic transmit power assignments to base stations affect the complementary cumulative distribution function of the SINR experienced by a user in the network.