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Beamformer Designs for MISO Broadcast Channels with Zero-Forcing Dirty Paper Coding
University of Oulu, Finland.
KTH, School of Electrical Engineering (EES), Signal Processing. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0002-3599-5584
KTH, School of Electrical Engineering (EES), Signal Processing. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0003-2298-6774
2013 (English)In: IEEE Transactions on Wireless Communications, ISSN 1536-1276, E-ISSN 1558-2248, Vol. 12, no 3, 1173-1185 p.Article in journal (Refereed) Published
Abstract [en]

We consider the beamformer design for multipleinput multiple-output (MISO) broadcast channels (MISO BCs) using zero-forcing dirty paper coding (ZF-DPC). Assuming a sum power constraint (SPC), most previously proposed beamformer designs are based on the QR decomposition (QRD), which is a natural choice to satisfy the ZF constraints. However, the optimality of the QRD-based design for ZF-DPC has remained unknown. In this paper, first, we analytically establish that the QRD-based design is indeed optimal for any performance measure under a SPC. Then, we propose an optimal beamformer design method for ZF-DPC with per-antenna power constraints (PAPCs), using a convex optimization framework. The beamformer design is first formulated as a rank-1-constrained optimization problem. Exploiting the special structure of the ZF-DPC scheme, we prove that the rank constraint can be relaxed and still provide the same solution. In addition, we propose a fast converging algorithm to the beamformer design problem, under the duality framework between the BCs and multiple access channels (MACs). More specifically, we show that a BC with ZF-DPC has the dual MAC with ZF-based successive interference cancellation (ZF-SIC). In this way, the beamformer design for ZF-DPC is transformed into a power allocation problem for ZF-SIC, which can be solved more efficiently.

Place, publisher, year, edition, pages
2013. Vol. 12, no 3, 1173-1185 p.
Keyword [en]
MISO, broadcast, beamforming, dirty paper coding, zero-forcing
National Category
Signal Processing
URN: urn:nbn:se:kth:diva-120191DOI: 10.1109/TWC.2012.122212.120464ISI: 000316801800020ScopusID: 2-s2.0-84875598495OAI: diva2:613769
EU, FP7, Seventh Framework Programme, FP7/2007-2013EU, European Research Council, 228044

QC 20130524

Available from: 2013-04-02 Created: 2013-04-02 Last updated: 2013-08-28Bibliographically approved

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Tran, Le-NamBengtsson, MatsOttersten, Björn
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