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In this paper, the authors study low complexity Double Space Time Transmit Diversity (D-STTD) and orthogonal frequency division multiplexing (OFDM) system with antenna shuffling. They propose a novel antenna shuffling method based on the criterion of minimizing the condition number of channel correlation matrix. The condition number is an indicator about the quality of the channel. By selecting the minimum of condition number which has better channel quality, consequently, a linear detector with respect to this new channel may achieve better performance results. A low complexity variant of the condition number calculation is also proposed, and it is shown that this criterion can be reduced to the Minimum Mean Square Error (MMSE) criterion.
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