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首页> 外文期刊>IEEE Transactions on Information Theory >On Space–Time Trellis Codes Achieving Optimal Diversity Multiplexing Tradeoff
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On Space–Time Trellis Codes Achieving Optimal Diversity Multiplexing Tradeoff

机译：时空网格码实现最优分集复用权衡

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Multiple antennas can be used for increasing the amount of diversity (diversity gain) or increasing the data rate (the number of degrees of freedom or spatial multiplexing gain) in wireless communication. As quantified by Zheng and Tse, given a multiple-input-multiple-output (MIMO) channel, both gains can, in fact, be simultaneously obtained, but there is a fundamental tradeoff (called the Diversity-Multiplexing Gain (DM-G) tradeoff) between how much of each type of gain, any coding scheme can extract. Space-time codes (STCs) can be employed to make use of these advantages offered by multiple antennas. Space-Time Trellis Codes (STTCs) are known to have better bit error rate performance than Space-Time Block Codes (STBCs), but with a penalty in decoding complexity. Also, for STTCs, the frame length is assumed to be finite and hence zeros are forced towards the end of the frame (called the trailing zeros), inducing rate loss. In this correspondence, we derive an upper bound on the DM-G tradeoff of full-rate STTCs with nonvanishing determinant (NVD). Also, we show that the full-rate STTCs with NVD are optimal under the DM-G tradeoff for any number of transmit and receive antennas, neglecting the rate loss due to trailing zeros. Next, we give an explicit generalized full-rate STTC construction for any number of states of the trellis, which achieves the optimal DM-G tradeoff for any number of transmit and receive antennas, neglecting the rate loss due to trailing zeros
机译：多个天线可用于增加无线通信中的分集量（分集增益）或增加数据速率（自由度或空间复用增益的数量）。正如Zheng和Tse所量化的，在给定多输入多输出（MIMO）信道的情况下，实际上可以同时获得两个增益，但是存在一个基本的权衡（称为分集多路复用增益（DM-G）权衡），每种编码方案都可以提取每种增益的多少。可以采用时空码（STC）来利用多个天线提供的这些优势。众所周知，空时网格码（STTC）具有比空时分组码（STBC）更好的误码率性能，但是在解码复杂性方面受到了损失。同样，对于STTC，假定帧长度是有限的，因此将零逼近帧尾（称为尾随零），从而导致速率损失。在此对应关系中，我们得出了全速率STTC与无影响行列式（NVD）的DM-G折衷的上限。此外，我们表明，在DM-G权衡下，对于任何数量的发射和接收天线，具有NVD的全速率STTC都是最佳的，而忽略了由于尾随零引起的速率损失。接下来，我们为任意数量的网格状态给出显式的广义全速率STTC构造，对于任意数量的发射和接收天线，它都实现了最佳的DM-G折衷，而忽略了由于尾随零引起的速率损失

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