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Journal of Electrical and Computer Engineering
Volume 2012 (2012), Article ID 290390, 9 pages
Research Article

Minimum Symbol Error Probability MIMO Design under the Per-Antenna Power Constraint

Department of Electrical and Computer Engineering, Polytechnic Institute of NYU, 6 MetroTech Center, Brooklyn, NY 11201, USA

Received 21 October 2011; Revised 26 January 2012; Accepted 31 January 2012

Academic Editor: D. Laurenson

Copyright © 2012 Enoch Lu and I.-Tai Lu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Approximate minimum symbol error probability transceiver design of single user MIMO systems under the practical per-antenna power constraint is considered. The upper bound of a lower bound on the minimum distance between the symbol hypotheses is established. Necessary conditions and structures of the transmit covariance matrix for reaching the upper bound are discussed. Three numerical approaches (rank zero, rank one, and permutation) for obtaining the optimum precoder are proposed. When the upper bound is reached, the resulting design is optimum. When the upper bound is not reached, a numerical fix is used. The approach is very simple and can be of practical use.