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The Second-Order Coding Rate of the MIMO Quasi-Static Rayleigh Fading Channel

机译:MIMO准静态瑞利衰落信道的二阶编码率

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摘要

The second-order coding rate of the multiple-input multiple-output (MIMO) quasi-static Rayleigh fading channel is studied. We tackle this problem via an information-spectrum approach and statistical bounds based on recent random matrix theory techniques. We derive a central limit theorem (CLT) to analyze the information density in the regime where the block length and the number of transmit and receive antennas and , respectively, grow simultaneously large. This result leads to the characterization of closed-form upper and lower bounds on the optimal average error probability when the coding rate is within of the asymptotic capacity.
机译:研究了多输入多输出准静态瑞利衰落信道的二阶编码率。我们通过基于最新随机矩阵理论技术的信息频谱方法和统计范围来解决此问题。我们推导了一个中心极限定理(CLT),以分析在块长和发射天线和接收天线的数量同时分别变大的情况下的信息密度。当编码率在渐近容量之内时,此结果导致最佳平均误差概率的闭合形式的上限和下限的表征。

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