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Contractive interference functions and rates of convergence of distributed power control laws
KTH, School of Electrical Engineering (EES), Automatic Control.
KTH, School of Electrical Engineering (EES), Automatic Control.
KTH, School of Electrical Engineering (EES), Automatic Control.
2012 (English)In: IEEE International Conference on Communications (ICC), Ottawa, Canada., IEEE , 2012, 4395-4399 p.Conference paper, Published paper (Refereed)
Abstract [en]

The standard interference functions introduced by Yates have been very influential on the analysis and design of distributed power control laws. While powerful and versatile, the framework has some drawbacks: the existence of fixed-points has to be established separately, and no guarantees are given on the rate of convergence of the iterates. This paper introduces contractive interference functions, a slight reformulation of the standard interference functions that guarantees existence and uniqueness of fixed-points and geometric convergence rates. We show that many power control laws from the literature are contractive and derive, sometimes for the first time, convergence rate estimates for these algorithms. Finally, we show that although standard interference functions are not contractive, they are paracontractions with respect to a certain metric space. Extensions to two-sided scalable interference functions are also discussed.

Place, publisher, year, edition, pages
IEEE , 2012. 4395-4399 p.
Series
IEEE International Conference on Communications, ISSN 1550-3607
Keyword [en]
Cellular Radio Systems, Algorithms, Framework
National Category
Communication Systems Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-79689DOI: 10.1109/ICC.2012.6364323ISI: 000312855704132Scopus ID: 2-s2.0-84871988008ISBN: 978-1-4577-2051-2 (print)OAI: oai:DiVA.org:kth-79689DiVA: diva2:496506
Conference
2012 IEEE International Conference on Communications
Funder
ICT - The Next Generation
Note

QC 20121218

Available from: 2012-02-10 Created: 2012-02-09 Last updated: 2013-04-22Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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