Random cell association and void probability in poisson-distributed cellular networks

Chun Hung Liu, Li-Chun Wang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

31 Scopus citations

Abstract

This paper studied the fundamental modeling defect existing in Poisson-distributed cellular networks in which all base stations form a homogeneous Poisson point process (PPP) of intensity λB and all users form another independent PPP of intensity λU. The modeling defect, hardly discovered in prior works, is the void cell issue that stems from the independence between the distributions of users and BSs and 'user-centric' cell association, and it could give rise to very inaccurate analytical results. We showed that the void probability of a cell under generalized random cell association is always bounded above zero and its theoretical lower bound is exp (-λUB) that can be achieved by large association weighting. An accurate expression of the void probability of a cell was derived and simulation results validated its correctness. We also showed that the associated BSs are essentially no longer a PPP such that modeling them as a PPP to facilitate the analysis of interference-related performance metrics may detach from reality if the BS intensity is not significantly large if compared with the user intensity.

Original languageEnglish
Title of host publication2015 IEEE International Conference on Communications, ICC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2816-2821
Number of pages6
ISBN (Electronic)9781467364324
DOIs
StatePublished - 9 Sep 2015
EventIEEE International Conference on Communications, ICC 2015 - London, United Kingdom
Duration: 8 Jun 201512 Jun 2015

Publication series

NameIEEE International Conference on Communications
Volume2015-September
ISSN (Print)1550-3607

Conference

ConferenceIEEE International Conference on Communications, ICC 2015
CountryUnited Kingdom
CityLondon
Period8/06/1512/06/15

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  • Cite this

    Liu, C. H., & Wang, L-C. (2015). Random cell association and void probability in poisson-distributed cellular networks. In 2015 IEEE International Conference on Communications, ICC 2015 (pp. 2816-2821). [7248753] (IEEE International Conference on Communications; Vol. 2015-September). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICC.2015.7248753