liu.seSearch for publications in DiVA
Change search
ReferencesLink to record
Permanent link

Direct link
The Sign-Definiteness Lemma and Its Applications to Robust Transceiver Optimization for Multiuser MIMO Systems
Linköping University, Department of Electrical Engineering, Communication Systems. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Communication Systems. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-7599-4367
2013 (English)In: IEEE Transactions on Signal Processing, ISSN 1053-587X, E-ISSN 1941-0476, Vol. 61, no 2, 238-252 p.Article in journal (Refereed) Published
Abstract [en]

We formally generalize the sign-definiteness lemma to the case of complex-valued matrices and multiple norm-bounded uncertainties. This lemma has found many applications in the study of the stability of control systems, and in the design and optimization of robust transceivers in communications. We then present three different novel applications of this lemma in the area of multi-user multiple-input multiple-output (MIMO) robust transceiver optimization. Specifically, the scenarios of interest are: (i) robust linear beamforming in an interfering adhoc network, (ii) robust design of a general relay network, including the two-way relay channel as a special case, and (iii) a half-duplex one-way relay system with multiple relays. For these networks, we formulate the design problems of minimizing the (sum) MSE of the symbol detection subject to different average power budget constraints. We show that these design problems are non-convex (with bilinear or trilinear constraints) and semiinfinite in multiple independent uncertainty matrix-valued variables. We propose a two-stage solution where in the first step the semi-infinite constraints are converted to linear matrix inequalities using the generalized signdefiniteness lemma, and in the second step, we use an iterative algorithm based on alternating convex search (ACS). Via simulations we evaluate the performance of the proposed scheme.

Place, publisher, year, edition, pages
IEEE Signal Processing Society, 2013. Vol. 61, no 2, 238-252 p.
Keyword [en]
Robust Transceiver Optimization, Multi-user MIMO, Sign-definiteness Lemma, Robust Design, Relay Networks, Adhoc Networks, Beamforming
National Category
Signal Processing Communication Systems
URN: urn:nbn:se:liu:diva-85874DOI: 10.1109/TSP.2012.2222379ISI: 000314678900002OAI: diva2:573456
eLLIIT - The Linköping‐Lund Initiative on IT and Mobile CommunicationsEU, FP7, Seventh Framework ProgrammeKnut and Alice Wallenberg Foundation
Available from: 2012-11-30 Created: 2012-11-30 Last updated: 2016-08-31

Open Access in DiVA

fulltext(638 kB)368 downloads
File information
File name FULLTEXT01.pdfFile size 638 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Avazkonandeh Gharavol, EbrahimLarsson, Erik G.
By organisation
Communication SystemsThe Institute of Technology
In the same journal
IEEE Transactions on Signal Processing
Signal ProcessingCommunication Systems

Search outside of DiVA

GoogleGoogle Scholar
Total: 368 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 555 hits
ReferencesLink to record
Permanent link

Direct link