On noise limited cellular networks

TL;DR

This paper develops a comprehensive theoretical framework for noise-limited cellular networks, accounting for user-server association beyond proximity, and derives formulas for outage probability and signal quality metrics.

Contribution

Introduces a novel model where users connect to the best server rather than the closest, providing new analytical formulas for network performance metrics.

Findings

Derived general outage probability formula

Calculated expectation and variance bounds for SNR functionals

Analyzed user-server association impact on network performance

Abstract

This paper introduces a general theoretical framework to analyze noise limited networks. More precisely, we consider two homogenous Poisson point processes of base stations and users. General model of radio signal propagation and effect of fading are also considered. The main difference of our model with respect to other existing models is that a user connects to his best servers but not necessarily the closest one. We provide general formula for the outage probability. We study functionals related to the SNR as well as the sum of these functionals over all users per cell. For the latter, the expectation and bounds on the variance are obtained.