A Tractable Approach to Coverage and Rate in Cellular Networks

Jeffrey G. Andrews François Baccelli 1, 2, 3 Radha Krishna Ganti
3 TREC - Theory of networks and communications
DI-ENS - Département d'informatique de l'École normale supérieure, ENS Paris - École normale supérieure - Paris, Inria Paris-Rocquencourt
Abstract : Cellular networks are usually modeled by placing the base stations on a grid, with mobile users either randomly scattered or placed deterministically. These models have been used extensively but suffer from being both highly idealized and not very tractable, so complex system-level simulations are used to evaluate coverage/outage probability and rate. More tractable models have long been desirable. We develop new general models for the multi-cell signal-to-interference plus-noise ratio (SINR) using stochastic geometry. Under very general assumptions, the resulting expressions for the downlink SINR CCDF (equivalent to the coverage probability) involve quickly computable integrals, and in some practical special cases can be simplified to common integrals (e.g., the Q-function) or even to simple closed-form expressions. We also derive the mean rate, and then the coverage gain (and mean rate loss) from static frequency reuse. We compare our coverage predictions to the grid model and an actual base station deployment, and observe that the proposed model is pessimistic (a lower bound on coverage) whereas the grid model is optimistic, and that both are about equally accurate. In addition to being more tractable, the proposed model may better capture the increasingly opportunistic and dense placement of base stations in future networks
Type de document :
Article dans une revue
IEEE Transactions on Communications, Institute of Electrical and Electronics Engineers, 2010, 59 (11), pp.3122-3134. 〈http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=06042301〉
Liste complète des métadonnées

https://hal.inria.fr/hal-00940544
Contributeur : Fabien Mathieu <>
Soumis le : samedi 1 février 2014 - 18:44:41
Dernière modification le : jeudi 11 janvier 2018 - 06:20:06

Identifiants

  • HAL Id : hal-00940544, version 1

Collections

INRIA | UPMC | PSL

Citation

Jeffrey G. Andrews, François Baccelli, Radha Krishna Ganti. A Tractable Approach to Coverage and Rate in Cellular Networks. IEEE Transactions on Communications, Institute of Electrical and Electronics Engineers, 2010, 59 (11), pp.3122-3134. 〈http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=06042301〉. 〈hal-00940544〉

Partager

Métriques

Consultations de la notice

188