Matrix analysis
Constructing a Hermitian Matrix from Its Diagonal Entries and Eigenvalues
SIAM Journal on Matrix Analysis and Applications
Vector Space Projections: A Numerical Approach to Signal and Image Processing, Neural Nets, and Optics
Robust power allocation algorithms for MIMO OFDM systems with imperfect CSI
IEEE Transactions on Signal Processing
Optimal designs for space-time linear precoders and decoders
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
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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.