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Far-Field Multicast Beamforming for Uniform Linear Antenna Arrays
Technical University of Crete, Chania, Greece.
Technical University of Crete, Chania, Greece.
University of Minnesota, Minneapolis, USA.
2007 (English)In: IEEE Transactions on Signal Processing, ISSN 1053-587X, E-ISSN 1941-0476, Vol. 55, no 10, 4916-4927 p.Article in journal (Refereed) Published
Abstract [en]

The problem of transmit beamforming to multiple cochannel multicast groups is considered for the important special case when the channel vectors are Vandermonde. This arises when a uniform linear antenna antenna (ULA) array is used at the transmitter under far-field line-of-sight propagation conditions, as provisioned in 802.16e and related wireless backhaul scenarios. Two design approaches are pursued: (i) minimizing the total transmitted power subject to providing at least a prescribed received signal-to-interference-plus-noise-ratio (SINR) to each intended receiver; and (ii) maximizing the minimum received SINR under a total transmit power budget. Whereas these problems have been recently shown to be NP-hard, in general, it is proven here that for Vandermonde channel vectors, it is possible to recast the optimization in terms of the autocorrelation sequences of the sought beam vectors, yielding an equivalent convex reformulation. This affords efficient optimal solution using modern interior point methods. The optimal beam vectors can then be recovered using spectral factorization. Robust extensions for the case of partial channel state information, where the direction of each receiver is known to lie in an interval, are also developed. Interestingly, these also admit convex reformulation. The various optimal designs are illustrated and contrasted in a suite of pertinent numerical experiments.

Place, publisher, year, edition, pages
2007. Vol. 55, no 10, 4916-4927 p.
Keyword [en]
Broadcasting, convex optimization, downlink beamforming, multicasting, semidefinite relaxation
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-66516DOI: 10.1109/TSP.2007.897903OAI: diva2:404880
©2009 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. Eleftherios Karipidis, Nicholas Sidiropoulos and Zhi-Quan Luo, Far-Field Multicast Beamforming for Uniform Linear Antenna Arrays, 2007, IEEE Transactions on Signal Processing, (55), 10, 4916-4927. Available from: 2011-03-18 Created: 2011-03-18 Last updated: 2011-03-28

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