NDLI: Weighted Proportional Fairness Capacity of Gaussian MIMO Broadcast Channels

Content Provider	IEEE Xplore Digital Library
Author	Jia Liu Thomas Hou, Y.
Copyright Year	2008
Description	Author affiliation: Virginia Polytech. Inst. & State Univ., Blacksburg (Jia Liu; Thomas Hou, Y.)
Abstract	Recently, there has been tremendous interest in exploring the capacity region of multiple-input multiple-output broadcast channels (MIMO-BC). However, fairness, a very important performance measure of multi-user communications systems and networks, has not been addressed for MIMO-BC in the literature. In this paper, we study how to determine the weighted proportional fairness (WPF) capacity of MIMO-BC. The difficulty of finding the WPF capacity of MIMO-BC lies in that it contains two difficult subproblems: 1) a complex combinatorial optimization problem to determine the optimal decoding order in the dual MIMO multiple access channel (MEMO-MAC) and 2) a nonconvex optimization problem in computing the optimal input covariance matrices to achieve WPF capacity. To circumvent the difficulty in the first subproblem, we derive a set of optimality conditions that the optimal decoding order must satisfy. Based on these optimality conditions, we design an efficient algorithm called iterative gradient sorting (IGS) to determine the optimal decoding order by iteratively sorting the gradient entries and moving across corner points. We also show that this method can be geometrically interpreted as sequential gradient projections. For the second subproblem, we propose an efficient algorithm based on conjugate gradient projection (CGP) technique, which employs the concept of Hessian conjugate. We also develop a polynomial time algorithm to solve the projection subproblem.
Starting Page	385
Ending Page	393
File Size	329640
Page Count	9
File Format	PDF
ISBN	9781424420254
ISSN	0743166X
DOI	10.1109/INFOCOM.2008.85
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-04-13
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	MIMO Broadcasting Communication systems Covariance matrix Iterative decoding Iterative algorithms Sorting Information theory Communications Society Algorithm design and analysis
Content Type	Text
Resource Type	Article
Subject	Computer Science Electrical and Electronic Engineering

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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