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Coordinated Max-Min SIR Optimization in Multicell Downlink - Duality and Algorithm

Cai, Desmond and Quek, Tony Q. S. and Tan, Chee Wei (2011) Coordinated Max-Min SIR Optimization in Multicell Downlink - Duality and Algorithm. In: 2011 IEEE International Conference on Communications (ICC). IEEE International Conference on Communications. IEEE , New York, NY, pp. 1-6. ISBN 978-1-61284-232-5. https://resolver.caltech.edu/CaltechAUTHORS:20120106-154336513

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Abstract

Typical formulations of max-min weighted SIR problems involve either a total power constraint or individual power constraints. These formulations are unable to handle the complexities in multicell networks where each base station can be subject to its own sum power constraint. This paper considers the max-min weighted SIR problem subject to multiple weighted-sum power constraints, where the weights can represent relative power costs of serving different users. First, we derive the uplink-downlink duality principle by applying Lagrange duality to the single-constraint problem. Next, we apply nonlinear Perron-Frobenius theory to derive a closed-form solution for the multiple-constraint problem. Then, by exploiting the structure of the closed-form solution, we relate the multiple-constraint problem with its single-constraint subproblems and establish the dual uplink problem. Finally, we further apply nonlinear Perron-Frobenius theory to derive an algorithm which converges geometrically fast to the optimal solution.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/icc.2011.5962539DOIArticle
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5962539PublisherArticle
ORCID:
AuthorORCID
Cai, Desmond0000-0001-9207-1890
Additional Information:© 2011 IEEE. Date of Current Version: 29 July 2011. The work in this paper was partially supported by grants from the Research Grants Council of Hong Kong, Project No. RGC CityU 112909 and CityU 7008087. We would like to acknowledge helpful discussions with Steven Low at Caltech.
Funders:
Funding AgencyGrant Number
Research Grants Council of Hong Kong RGC CityU 112909
Research Grants Council of Hong Kong RGC CityU 7008087
Series Name:IEEE International Conference on Communications
Record Number:CaltechAUTHORS:20120106-154336513
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20120106-154336513
Official Citation:Cai, D.W.H.; Quek, T.Q.S.; Tan, C.W.; , "Coordinated Max-Min SIR Optimization in Multicell Downlink - Duality and Algorithm," Communications (ICC), 2011 IEEE International Conference on , vol., no., pp.1-6, 5-9 June 2011 doi: 10.1109/icc.2011.5962539 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5962539&isnumber=5962409
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:28707
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:09 Jan 2012 15:40
Last Modified:03 Oct 2019 03:34

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