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Diversity Analysis of Randomized Linear Dispersion Codes in a Half-Duplex Amplify-and-Forward Multiple-Relay System

机译:半双工放大转发多中继系统中随机线性色散码的分集分析

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摘要

A point-to-point multiple-relay communication system with half-duplex constraints is considered. The relays operate under the amplify-and-forward paradigm and implement a linear dispersion distributed space-time code with randomized dispersion matrices of independent and identically distributed entries. The large-signal-to-noise-ratio behavior of the asymptotically large deterministic system is studied for both the optimum (maximum likelihood) receiver and the linear minimum mean squared error (LMMSE) receiver. The diversity order of the system is shown to have a strong dependence on the aspect ratio of the linear dispersion matrices. More specifically, when the linear dispersion matrices are sufficiently tall, both receivers achieve the maximum diversity order, i.e., the total number of relays plus one. Conversely, when the linear dispersion matrices are fat (in the sense that relays linearly compress the information received from the source), the optimum receiver is shown to achieve an asymptotic diversity order of two, whereas the LMMSE receiver is totally unable to exploit the available spatial diversity.
机译:考虑具有半双工约束的点对点多中继通信系统。继电器在放大和转发范式下运行,并实现线性色散分布的时空代码,该代码具有独立且相同分布条目的随机色散矩阵。对于最优(最大似然)接收器和线性最小均方误差(LMMSE)接收器,研究了渐近大确定性系统的大信号与噪声比行为。系统的分集阶数显示出对线性色散矩阵的长宽比的强烈依赖性。更具体地说,当线性色散矩阵足够高时,两个接收机都达到最大分集阶数,即,中继总数加一。相反,当线性色散矩阵很胖时(就中继线性压缩从源接收的信息而言),最佳接收器显示为渐近分集阶数为2,而LMMSE接收器完全无法利用可用的空间多样性。

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