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Robust MIMO Precoding for the Schatten Norm Based Channel Uncertainty Sets
Southeast University, China.
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. University of Luxembourg, Luxembourg .ORCID iD: 0000-0003-2298-6774
Hong Kong University of Science and Technology, Hong Kong.
2013 (English)In: 2013 IEEE Global Communications Conference (GLOBECOM), IEEE Communications Society, 2013, 3394-3399 p.Conference paper (Refereed)
Abstract [en]

In this paper, we consider robust MIMO precoding designs against deterministic imperfect channel state information at the transmitter (CSIT). In contrast to the existing works based on one or two particular channel uncertainty models, we consider a general uncertainty set defined by a generic matrix norm, called the Schatten norm, which includes most deterministic imperfect CSIT as special cases. Adopting worst-case robustness, the robust MIMO precoding design is formulated as a maximin problem to maximize the worst-case received signal-to-noise ratio or minimize the worst-case error probability. We show that the robust precoder admits a channel-diagonalizing structure for all Schatten norm based uncertainty sets, and then simplify the complex-valued matrix problem to a real-valued vector power allocation problem. We further show that the simplified power allocation problem can be analytically solved in a waterfilling manner, thus leading to a fully closed-form solution to the robust precoding design. Finally, we also investigate the robustness of beamforming and uniform-power transmission.

Place, publisher, year, edition, pages
IEEE Communications Society, 2013. 3394-3399 p.
Keyword [en]
Imperfect CSIT, maximin, MIMO, minimax, Schatten norm, worst-case robustness
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Research subject
URN: urn:nbn:se:kth:diva-138103DOI: 10.1109/GLOCOM.2013.6831597ScopusID: 2-s2.0-84904133351ISBN: 978-147991353-4OAI: diva2:680386
2013 IEEE Global Communications Conference, GLOBECOM 2013; Atlanta, GA; United States; 9 December 2013 through 13 December 2013

QC 20140912

Available from: 2013-12-17 Created: 2013-12-17 Last updated: 2014-09-12Bibliographically approved

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Bengtsson, MatsOttersten, Björn
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