The Sign-Definiteness Lemma and Its Applications to Robust Transceiver Optimization for Multiuser MIMO Systems
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
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.
Robust Transceiver Optimization, Multi-user MIMO, Sign-definiteness Lemma, Robust Design, Relay Networks, Adhoc Networks, Beamforming
Signal Processing Communication Systems
IdentifiersURN: urn:nbn:se:liu:diva-85874DOI: 10.1109/TSP.2012.2222379ISI: 000314678900002OAI: oai:DiVA.org:liu-85874DiVA: diva2:573456
FundereLLIIT - The Linköping‐Lund Initiative on IT and Mobile CommunicationsEU, FP7, Seventh Framework ProgrammeKnut and Alice Wallenberg Foundation