QAM and PSK codebooks for limited feedback MIMO beamforming

  • Authors:

  • Daniel J. Ryan;I. Vaughan L. Clarkson;Iain B. Collings;Dongning Guo;Michael L. Honig

  • Affiliations:

  • Department of Electronics and Telecommunications, IET, Norwegian University of Science and Technology, Trondheim, Norway;School of Information Technology and Electrical Engineering, The University of Queensland, Brisbane, Qld., Australia;Wireless Technologies Laboratory, CSIRO ICT Centre, Sydney, NSW, Australia;Department of Electrical Engineering & Computer Science, Northwestern University, Evanston, IL;Department of Electrical Engineering & Computer Science, Northwestern University, Evanston, IL

  • Venue:
  • IEEE Transactions on Communications
  • Year:
  • 2009

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Abstract

This paper considers the problem of beamforming in multiple-input multiple-output (MIMO) wireless systems. Assuming perfect channel state information at the receiver, the choice of the beamforming vector is made possible through a noiseless limited-rate feedback of one or more bits per coefficient to the transmitter. This paper proposes the use of beamforming codebooks based on quadrature amplitude modulation (QAM) and phase-shift keying (PSK) constellations, which essentially eliminates the need for storage of the codebook. We show that such codebooks perform arbitrarily close to the perfect feedback case as the constellation size increases, and that full diversity order is achieved. We demonstrate an equivalence between the beamforming codebook search problem with that of noncoherent sequence detection. Based on this we propose fast beamforming vector search algorithms. Monte-Carlo simulations are presented to show that the performance is comparable to the best known codebooks, and that the search complexity can be reduced by several orders of magnitude.