This paper provides an analytical framework to characterize the performance
of Heterogeneous Networks (HetNets), where the positions of base stations and
users are modeled by spatial Poisson Point Processes (stochastic geometry). We
have been able to formally derive outage probability, rate coverage
probability, and mean user bit-rate when a frequency reuse of K and a novel
prioritized SIR-based cell association scheme are applied. A simulation
approach has been adopted in order to validate our analytical model;
theoretical results are in good agreement with simulation ones. The results
obtained highlight that the adopted cell association technique allows very low
outage probability and the fulfillment of certain bit-rate requirements by
means of adequate selection of reuse factor and micro cell density. This
analytical model can be adopted by network operators to gain insights on cell
planning. Finally, the performance of our SIR-based cell association scheme has
been validated through comparisons with other schemes in literature.Comment: Paper accepted to appear on the Journal of Communication Networks
(accepted on November 28, 2017); 15 page
