Chapter 13 - mmWave cellular networks: Stochastic geometry modeling, analysis, and experimental validation

Abstract

In this chapter, a new mathematical framework for the analysis of millimeter wave cellular networks is introduced. Its peculiarity lies in considering realistic path-loss and blockage models, which are derived from the experimental data. The path-loss model accounts for different distributions of line-of-sight and nonline-of-sight propagation conditions. The blockage model also includes an outage state that provides a better representation of the outage possibilities of millimeter wave transmission. By modeling the locations of the base stations as points of a Poisson point process, simple and exact integrals as well as approximated and closed-form formulas for computing the coverage probability and the average rate are obtained. With the aid of Monte Carlo simulations and using experimental data, the noise-limited approximation is shown to be sufficiently accurate for typical network densities. The noise-limited approximation, however, may not be sufficiently accurate for ultra-dense network deployments and for subgigahertz transmission bandwidths. For these case studies, the analytical approach is generalized to take other-cell interference into account at the cost of increasing its computational complexity. The accuracy of the stochastic geometry modeling of millimeter wave cellular networks is investigated, by explicitly taking realistic base station locations, building footprints, spatial blockages and channel propagations into account. The numerical results highlight that sufficiently dense millimeter wave cellular networks are capable of outperforming micro wave cellular networks, in terms of coverage and rate.