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This article is part of the series Multiuser MIMO Transmission with Limited Feedback, Cooperation, and Coordination.

Open Access Open Badges Research Article

On the Asymptotic Optimality of Opportunistic Norm-Based User Selection with Hard SINR Constraint

Xi Zhang1*, Eduard A Jorswieck2, Björn Ottersten1 and Arogyasvsami Paulraj3

Author Affiliations

1 Signal Processing Laboratory, ACCESS Linnaeus Center, Royal Institute of Technology (KTH), 10044 Stockholm, SE, Sweden

2 Communications Laboratory, Faculty of Electrical Engineering and Information Technology, Dresden University of Technology, 01062 Dresden, Germany

3 Information Systems Laboratory, Stanford University, CA 94305, USA

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EURASIP Journal on Advances in Signal Processing 2009, 2009:475273  doi:10.1155/2009/475273

The electronic version of this article is the complete one and can be found online at: http://asp.eurasipjournals.com/content/2009/1/475273

Received:30 November 2008
Revisions received:2 April 2009
Accepted:10 June 2009
Published:30 August 2009

© 2009 The Author(s).

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Recently, user selection algorithms in combination with linear precoding have been proposed that achieve the same scaling as the sum capacity of the MIMO broadcast channel. Robust opportunistic beamforming, which only requires partial channel state information for user selection, further reduces feedback requirements. In this work, we study the optimality of the opportunistic norm-based user selection system in conjunction with hard SINR requirements under max-min fair beamforming transmit power minimization. It is shown that opportunistic norm-based user selection is asymptotically optimal, as the number of transmit antennas goes to infinity when only two users are selected in high SNR regime. The asymptotic performance of opportunistic norm-based user selection is also studied when the number of users goes to infinity. When a limited number of transmit antennas and/or median range of users are available, only insignificant performance degradation is observed in simulations with an ideal channel model or based on measurement data.

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