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This tradeoff is precisely known in the case of independent and identically distributed (i.i.d.) Rayleigh fading, for $T geq n_t+n_r-1$ where $T$ is the number of time slots over which coding takes place and $n_t,n_r$ are the number of transmit and receive antennas, respectively. For $T ≪ n_t+n_r-1$ , only upper and lower bounds on the D-MG tradeoff are available. In this paper, we present a complete solution to the problem of explicitly constructing D-MG optimal ST codes, i.e., codes that achieve the D-MG tradeoff for any number of receive antennas. We do this by showing that for the square minimum-delay case when $T=n_t=n$ , cyclic-division-algebra (CDA)-based ST codes having the nonvanishing determinant property are D-MG optimal. While constructions of such codes were previously known for restricted values of $n$ , we provide here a construction for such codes that is valid for all $n$ . For the rectangular, $T ≫ n_t$ case, we present two general techniques for building D-MG-optimal rectangular ST codes from their square counterparts. 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Explicit Space–Time Codes Achieving the Diversity–Multiplexing Gain Tradeoff 论文

Explicit Space–Time Codes Achieving the Diversity–Multiplexing Gain Tradeoff · 相关技术

相关技术