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  • Research Article
  • Open Access

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

  • 1Email author,
  • 2,
  • 1 and
  • 3
EURASIP Journal on Advances in Signal Processing20092009:475273

  • Received: 30 November 2008
  • Accepted: 10 June 2009
  • Published:


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.


  • Channel State Information
  • Broadcast Channel
  • User Selection
  • Asymptotic Performance
  • Asymptotic Optimality

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Authors’ Affiliations

Signal Processing Laboratory, ACCESS Linnaeus Center, Royal Institute of Technology (KTH), 10044 Stockholm, SE, Sweden
Communications Laboratory, Faculty of Electrical Engineering and Information Technology, Dresden University of Technology, 01062 Dresden, Germany
Information Systems Laboratory, Stanford University, CA 94305, USA


© Xi Zhang et al. 2009

This article is published under license to BioMed Central Ltd. 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.