Downlink Analysis for the Typical Cell in Poisson Cellular Networks

TL;DR

This paper develops a new analytical approach to accurately evaluate the downlink performance of the typical cell in Poisson cellular networks, addressing limitations of traditional typical user-based analysis.

Contribution

It introduces a novel construction for direct characterization of the typical cell's downlink performance, including exact analysis in 1-D and accurate approximation in 2-D.

Findings

Exact 1-D downlink analysis for the typical cell

Accurate 2-D approximation for the typical cell

Insights into differences between typical user and typical cell perspectives

Abstract

Owing to its unparalleled tractability, the Poisson point process (PPP) has emerged as a popular model for the analysis of cellular networks. Considering a stationary point process of users, which is independent of the base station (BS) point process, it is well known that the typical user does not lie in the typical cell and thus it may not truly represent the typical cell performance. Inspired by this observation, we present a construction that allows a direct characterization of the downlink performance of the typical cell. For this, we present an exact downlink analysis for the 1-D case and a remarkably accurate approximation for the 2-D case. Several useful insights about the differences and similarities in the two viewpoints (typical user vs. typical cell) are also provided.