Coverage probability of uplink millimeter wave cellular network with non-homogeneous interferers’ point process

Abstract

In this paper, we have derived stochastic geometry based generalized mathematical expressions for the uplink signal-to-interference-plus-noise-ratio (SINR) coverage probability, rate coverage probability and area spectral efficiency (ASE) of millimeter wave cellular network. The locations of base stations (BSs) and the user equipments (UEs) are modeled as two independent homogeneous Poisson Point Process (PPP) while location of interfering UEs is modeled as non-homogeneous PPP (non-HPPP). To model distinct line-of-sight (LOS) and non-line-of-sight (NLOS) propagation characteristics due to signal blockage at millimeter wave frequencies, a distance-dependent path loss model is employed and directional beamforming with antenna radiation pattern having Gaussian main lobe is considered. Minimum path loss based user association scheme is assumed for coverage analysis. The derived expressions are validated through simulations. It has been found that the SINR coverage probability and ASE increases with the increasing base station density at first, then decreases as the network becomes denser and eventually collapse as the density is further increased. Also, rate coverage probability decreases as the network goes dense. Hence, an optimum value of base station density can be determined that maximizes SINR coverage probability and area spectral efficiency. The analysis is also simplified for dense network using LOS ball blockage model. We have compared coverage probability estimate using homogeneous and non-homogeneous PPP model of interferer, where it is shown that for dense network both models have similar performance whereas for low density network, our non-homogeneous PPP model gives better coverage performance.