Meta Distribution of Downlink $\tt SIR$ in a Poisson Cluster Process-based HetNet Model

TL;DR

This paper derives the meta distribution of downlink SIR in a HetNet model combining Poisson and Poisson cluster processes, capturing hotspot formations and spatial coupling, advancing the fine-grained performance analysis of such networks.

Contribution

It provides the first derivation of the meta distribution of downlink SIR for a PCP-based HetNet model, addressing a key open problem in the field.

Findings

Meta distribution of downlink SIR derived for PCP-based HetNet

Captures effects of hotspots and spatial coupling

Enables detailed performance analysis of HetNets

Abstract

The performance analysis of heterogeneous cellular networks (HetNets), that relied mostly on the homogeneous Poisson point process (PPP) for the spatial distribution of the users and base stations (BSs), has seen a major transition with the emergence of the Poisson cluster process (PCP)-based models. With the combination of PPP and PCP, it is possible to construct a general HetNet model which can capture formation of hotspots and spatial coupling between the users and the BSs. While the downlink coverage analysis of this model in terms of the distribution of the received downlink signal-to-interference ratio ($\tt SIR$) is well understood by now, more fine grained analysis in terms of the meta distribution of ${\tt SIR}$ is an open problem. In this letter, we solve this problem by deriving the meta distribution of the downlink ${\tt SIR}$ assuming that the typical user connects to the BS providing the maximum received power.