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Code Rate-Diversity-Multiplexing Tradeoff

机译:码率-多样性-复用权衡

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摘要

Multiple antenna systems can be used to increase system reliability or to increase system capacity. Initially, space–time codes were designed to achieve one of these two types of gain. Recently, though, a tradeoff between these two system resources has been characterized by the diversity-multiplexing tradeoff. Achieving this optimal performance frontier requires proper coding. For diversity optimality, the signal transmitted from each antenna must redundantly describe the message bits. This redundancy has been quantified by the rate of a space–time code, which relates space–time codebook size to constituent single-input–single-output (SISO) constellation size. Achievable diversity has also been shown to decrease with increasing rates, which establishes the diversity-rate tradeoff. In this work, we consider a generalized notion of the rate of the space–time code, which we refer to as the code rate $R_c$, and the associated diversity-code rate tradeoff. We then generalize the diversity-multiplexing and diversity-code rate tradeoffs and find that a new diversity-multiplexing tradeoff exists as a function of the code rate.
机译:可以使用多个天线系统来增加系统可靠性或增加系统容量。最初,时空代码旨在实现这两种增益之一。但是,近来,这两种系统资源之间的权衡已经以分集复用权衡为特征。要实现这一最佳性能边界,需要进行适当的编码。为了获得最佳分集,从每个天线发送的信号必须冗余地描述消息位。这种冗余已通过时空码的速率进行了量化,该速率将时空码本的大小与组成的单输入单输出(SISO)星座图大小相关联。还显示出可实现的多样性随速率的增加而减少,这建立了多样性速率的权衡。在这项工作中,我们考虑了时空码率的广义概念,即码率$ R_c $和相关的分集码率的权衡。然后,我们概括了分集复用和分集码率的权衡,发现存在新的分集复用权衡作为码率的函数。

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