Stochastic Ordering based Carrier-to-Interference Ratio Analysis for the Shotgun Cellular Systems

TL;DR

This paper introduces a stochastic ordering method to compare carrier-to-interference ratios in cellular systems with randomly distributed base stations, simplifying analysis without needing explicit distribution calculations.

Contribution

It presents a novel analytical approach using stochastic ordering to compare cellular system performance based on base station densities alone.

Findings

Enables comparison of cellular systems without complex distribution calculations

Provides a simple analytical tool for non-homogeneous Poisson cellular models

Facilitates performance evaluation based on base station density differences

Abstract

A simple analytical tool based on stochastic ordering is developed to compare the distributions of carrier-to-interference ratio at the mobile station of two cellular systems where the base stations are distributed randomly according to certain non-homogeneous Poisson point processes. The comparison is conveniently done by studying only the base station densities without having to solve for the distributions of the carrier-to-interference ratio, that are often hard to obtain.