Space-time Codes Meeting the Diversity-multiplexing Gain Tradeoff with Low Signalling Complexity
نویسندگان
چکیده
In the recent landmark paper of Zheng and Tse it is shown that there exists a fundamental tradeoff between diversity gain and multiplexing gain, referred to as the Diversity-Multiplexing gain(D-MG) tradeoff. It is shown in [5] that ST codes with non-vanishing determinant (NVD) constructed from cyclic-divisionalgebras (CDA), are optimal under the D-MG tradeoff for any number nt, nr of transmit and receive antennas and with minimum delay T = nt. CDA-based ST codes with NVD have been previously constructed for restricted values of nt. This paper presents an explicit construction of space-time (ST) codes for arbitrary number of transmit antennas that achieve the D-MG tradeoff. A unified construction of D-MG optimal CDA-based ST codes with NVD is given here, for any number nt of transmit antennas.
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