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Largest eigenvalue of complex Wishart matrices and performance analysis of MIMO MRC systems

机译:复杂Wishart矩阵的最大特征值和MIMO MRC系统的性能分析

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This paper extends Khatri (1964, 1969) distribution of the largest eigenvalue of central complex Wishart matrices to the noncentral case. It then applies the resulting new statistical results to obtain closed-form expressions for the outage probability of multiple-input-multiple-output (MIMO) systems employing maximal ratio combining (known also as "beamforming" systems) and operating over Rician-fading channels. When applicable these expressions are compared with special cases previously reported in the literature dealing with the performance of (1) MIMO systems over Rayleigh-fading channels and (2) single-input-multiple-output (SIMO) systems over Rician-fading channels. As a double check these analytical results are validated by Monte Carlo simulations and as an illustration of the mathematical formalism some numerical examples for particular cases of interest are plotted and discussed. These results show that, given a fixed number of total antenna elements and under the same scattering condition (1) SIMO systems are equivalent to multiple-input-single-output systems and (2) it is preferable to distribute the number of antenna elements evenly between the transmitter and the receiver for a minimum outage probability performance.
机译:本文将中心复Wishart矩阵的最大特征值的Khatri(1964,1969)分布扩展到非中心情况。然后,它应用所得的新统计结果来获得采用最大比率组合(也称为“波束形成”系统)并在Rician衰落信道上运行的多输入多输出(MIMO)系统中断概率的闭式表达式。在适用的情况下,将这些表达式与文献中先前报道的处理(1)瑞利衰落信道上的MIMO系统和(2)黎思衰落信道上的单输入多输出(SIMO)系统的性能的特殊情况进行比较。作为双重检查,这些分析结果已通过蒙特卡洛模拟进行了验证,并作为数学形式主义的例证,对某些特殊情况下的数值示例进行了绘图和讨论。这些结果表明,给定固定数量的天线元件并且在相同的散射条件下(1)SIMO系统等效于多输入单输出系统;(2)最好均匀分配天线元件的数量在发射器和接收器之间设置一个最小中断概率性能。

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