A Fluid Model for Performance Analysis in Cellular Networks

<p/> <p>We propose a new framework to study the performance of cellular networks using a fluid model and we derive from this model analytical formulas for interference, outage probability, and spatial outage probability. The key idea of the fluid model is to consider the discrete base st...

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Main Authors: Coupechoux Marceau, Godlewski Philippe, Kelif Jean-Marc
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:EURASIP Journal on Wireless Communications and Networking
Online Access:http://jwcn.eurasipjournals.com/content/2010/435189
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author Coupechoux Marceau
Godlewski Philippe
Kelif Jean-Marc
author_facet Coupechoux Marceau
Godlewski Philippe
Kelif Jean-Marc
author_sort Coupechoux Marceau
collection DOAJ
description <p/> <p>We propose a new framework to study the performance of cellular networks using a fluid model and we derive from this model analytical formulas for interference, outage probability, and spatial outage probability. The key idea of the fluid model is to consider the discrete base station (BS) entities as a continuum of transmitters that are spatially distributed in the network. This model allows us to obtain simple analytical expressions to reveal main characteristics of the network. In this paper, we focus on the downlink other-cell interference factor (OCIF), which is defined for a given user as the ratio of its outer cell received power to its inner cell received power. A closed-form formula of the OCIF is provided in this paper. From this formula, we are able to obtain the global outage probability as well as the spatial outage probability, which depends on the location of a mobile station (MS) initiating a new call. Our analytical results are compared to Monte Carlo simulations performed in a traditional hexagonal network. Furthermore, we demonstrate an application of the outage probability related to cell breathing and densification of cellular networks.</p>
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spelling doaj.art-090d3737549a493ca3012a36602f0dfe2022-12-22T01:57:13ZengSpringerOpenEURASIP Journal on Wireless Communications and Networking1687-14721687-14992010-01-0120101435189A Fluid Model for Performance Analysis in Cellular NetworksCoupechoux MarceauGodlewski PhilippeKelif Jean-Marc<p/> <p>We propose a new framework to study the performance of cellular networks using a fluid model and we derive from this model analytical formulas for interference, outage probability, and spatial outage probability. The key idea of the fluid model is to consider the discrete base station (BS) entities as a continuum of transmitters that are spatially distributed in the network. This model allows us to obtain simple analytical expressions to reveal main characteristics of the network. In this paper, we focus on the downlink other-cell interference factor (OCIF), which is defined for a given user as the ratio of its outer cell received power to its inner cell received power. A closed-form formula of the OCIF is provided in this paper. From this formula, we are able to obtain the global outage probability as well as the spatial outage probability, which depends on the location of a mobile station (MS) initiating a new call. Our analytical results are compared to Monte Carlo simulations performed in a traditional hexagonal network. Furthermore, we demonstrate an application of the outage probability related to cell breathing and densification of cellular networks.</p>http://jwcn.eurasipjournals.com/content/2010/435189
spellingShingle Coupechoux Marceau
Godlewski Philippe
Kelif Jean-Marc
A Fluid Model for Performance Analysis in Cellular Networks
EURASIP Journal on Wireless Communications and Networking
title A Fluid Model for Performance Analysis in Cellular Networks
title_full A Fluid Model for Performance Analysis in Cellular Networks
title_fullStr A Fluid Model for Performance Analysis in Cellular Networks
title_full_unstemmed A Fluid Model for Performance Analysis in Cellular Networks
title_short A Fluid Model for Performance Analysis in Cellular Networks
title_sort fluid model for performance analysis in cellular networks
url http://jwcn.eurasipjournals.com/content/2010/435189
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