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MIMO Transmit Beamforming Under Uniform Elemental Power Constraint
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
2007 (English)In: IEEE Transactions on Signal Processing, ISSN 1053-587X, E-ISSN 1941-0476, Vol. 55, no 11, 5395-5406 p.Article in journal (Refereed) Published
Abstract [en]

We consider multi-input multi-output (MIMO) transmit beamforming under the uniform elemental power constraint. This is a nonconvex optimization problem, and it is usually difficult to find the optimal transmit beamformer. First, we show that for the multi-input single-output (MISO) case, the optimal solution has a closed-form expression. Then we propose a cyclic algorithm for the MIMO case which uses the closed-form MISO optimal solution iteratively. The cyclic algorithm has a low computational complexity and is locally convergent under mild conditions. Moreover, we consider finite-rate feedback methods needed for transmit beamforming. We propose a simple scalar quantization method, as well as a novel vector quantization method. For the latter method, the codebook is constructed under the uniform elemental power constraint and the method is referred as VQ-UEP. We analyze VQ-UEP performance for the MISO case. Specifically, we obtain an approximate expression for the average degradation of the receive signal-to-noise ratio (SNR) caused by VQ-UEP. Numerical examples are provided to demonstrate the effectiveness of our proposed transmit beamformer designs and the finite-rate feedback techniques.

Place, publisher, year, edition, pages
2007. Vol. 55, no 11, 5395-5406 p.
Keyword [en]
Finite-rate feedback, Multi-input multi-output (MIMO), Multi-input single-output (MISO), Quantization, Trans mit beamforming, Uniform elemental power constraint
National Category
Computer and Information Science
Identifiers
URN: urn:nbn:se:uu:diva-13469DOI: 10.1109/TSP.2007.896058ISI: 000250374300023OAI: oai:DiVA.org:uu-13469DiVA: diva2:41239
Available from: 2008-01-23 Created: 2008-01-23 Last updated: 2017-12-11Bibliographically approved

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Stoica, Peter

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