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Approaching the Ergodic Capacity of the MIMO Channel with Lattice Codes

机译：用格码接近MIMO信道的遍历容量

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摘要

Many aspects of lattice coding and decoding under time-varying multiple-antenna systems remain unexplored. This paper studies the achievable rates using lattice codes for the multiple-input- multiple-output (MIMO) point-to-point channel with ergodic fading and channel state information at the receiver. The proposed lattice coding scheme involves the use of decision regions that are universal for almost all realizations of a given fading distribution and hence providing a significant computational advantage over channel- matching decision regions. Under Rayleigh fading, the rates achieved are within a constant gap to the ergodic capacity. The gap is also shown to diminish as the number of receive antennas increases, implying the asymptotic optimality of lattice codes even at finite signal-to-noise ratio (SNR).
机译：在时变多天线系统下的晶格编码和解码的许多方面仍未探索。本文利用多输入多输出（MIMO）点对点信道使用晶格代码的可实现的速率，在接收器处具有ergodic衰落和信道状态信息。所提出的晶格编码方案涉及使用定义的决策区域，该决策区域对于几乎所有关于给定的衰落分配的实现，从而在匹配匹配决策区域上提供了显着的计算优势。在瑞利衰落下，所取得的速率在于遍历能力的恒定间隙。随着接收天线的数量增加，也显示间隙减小，即使在有限的信噪比（SNR）上，暗示晶格代码的渐近最优性。

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