PHP-Based Model and Analysis of Millimeter Wave Heterogeneous Cellular Network

TL;DR

This paper introduces a Poisson hole process model with circular sector holes for millimeter wave heterogeneous cellular networks, capturing spatial separation and propagation effects, and provides accurate coverage analysis validated by simulations.

Contribution

It proposes a novel PHP modeling approach with sector-shaped holes for mmWave HCNs, incorporating blockage and beamforming, and derives accurate coverage probability expressions.

Findings

PHP model captures spatial separation more accurately.

Coverage probability expressions are validated by simulations.

Holes significantly affect coverage and differ from circular hole models.

Abstract

In this paper, a novel Poisson hole process (PHP) modeling of wireless networks is proposed. We consider a more general hole shape, i.e. circular sector holes in a random direction, to capture the spatial separation between tiers in a millimeter wave (mmWave) heterogeneous cellular network (HCN). In this case, small cell BSs (SBSs) and macrocell BSs (MBSs) are distributed as a PHP and Poisson point process (PPP). Due to fundamental propagation differences between mmWave and microwave frequencies, we incorporate blockage and directional beamforming in the network model. Using tools from stochastic geometry, the evaluation of the coverage performance in a two-tier mmWave HCN is provided. Since the exact formulation of distance distribution, association probability and coverage probability based on PHP modeling of SBSs is not known, fairly accurate expressions for them are derived and validated by simulation results. Moreover, some interesting facts about the effect of holes on coverage probability and the relation between proposed hole configuration and prior models with circular holes is discovered. It turns out that the analysis based on the proposed PHP model can provide a more general study than prior works and the proposed approaches are more accurate for two-tier HCNs than independent PPP-based analysis.