Most space-time codes have been designed so that they have full-rank. However, when the number of receive antennas is large, the minimum trace plays a more important role in performance. In this paper, we propose new space-time codes using the 64QAM signal constellations that are suitable for the situation. The proposed codes are compared the bit error probability to the quasi-orthogonal space-time block codes (QOSTBC) and the Alamouti code. The results show the proposed codes have a small rank, however, significant performance gain when the number of receive antennas is large.
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