Minimum Distance based Precoder Design for General MIMO Systems using Gram Matrix

다국어 초록 (Multilingual Abstract)

Assuming perfect channel state information (CSI) atthe transmitter and receiver, the optimization problem of maximizingthe minimum Euclidean distance between two received signalsby a linear precoder is considered for multiple-inputmultipleoutput(MIMO) systems with arbitrary dimensions and arbitraryaryquadrature amplitude modulation (QAM) input. A generalprecoding framework is first presented based on the Gram matrix,which is shown for 2-dimensional (2-D) and 3-dimensional (3-D) MIMO systems when employing the ellipse expanding method(EEM). An extended precoder for high-dimensional MIMO systemis proposed following the precoding framework, where theGram matrix for high-dimensional precoding matrix can be generatedthrough those chosen from 2-D and 3-D results in associationwith a permutation matrix. A complexity-reduced maximumlikelihood detector is also obtained according to the special structureof the proposed precoder. The analytical and numerical resultsindicate that the proposed precoder outperforms the other precodingschemes in terms of both minimum distance and bit error rate(BER).

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