Stochastic geometry based optimization of coverage and exposure in wireless networks

This master's thesis aims to introduce a joint analysis of coverage and exposure of sub-6[GHz] downlink transmissions in Heterogeneous Networks (HetNets) using stochastic geometry. This analysis focuses on a joint optimization of coverage and exposure in HetNets. The objective of this optimization is to provide some explanations about how a HetNet should be deployed in order to ensure a given Quality-of-Service and limit the exposure. For this purpose, a performance metric evaluating coverage and exposure, defined as a joint probability, in a HetNet is developed. Based on this metric, two constrained optimization problems on the tier densities and transmission powers are introduced and solved analytically: a general network deployment and a network expansion. Solving these optimizations demonstrates the relation between the network characteristics and its performances, and illustrates the impact of the path-loss on the optimal deployment strategy.