As we know, differential unitary space-time modulation suit for the wireless environment that there is no channel state information at both the transmitter and the receiver. In order to gain better performance in high SNR, we must design a differential unitary space-time modulation constellation with largest diversity product In this paper, a rotation matrix is introduced in the constellation design. We can achieve larger diversity product with this method than with conventional cyclic unitary method. When the size of constellation is even, the computational complexity can be minimized. The simulation result shows that the performance of the proposed code is about IdB better than cyclic unitary code in high SNR.
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