Measurements taken at the campus of Brigham Young University (BYU) are used to investigate the statistical properties of the indoor MIMO channel. Two statistical tests, Royston's and Henze-Zirkler's, are applied to the MIMO data to assess whether the data belongs to a multivariate normal distribution or not. The possibility of modeling the covariance matrix as a Kronecker product of the correlations at the transmitter and receiver are also investigated by deriving a likelihood ratio test. It is found that small MIMO systems such as 2×2 can be considered normally distributed and can also be approximated with a Kronecker structure. Larger systems, on the other hand, show evidence of strong non-normality and is not well modeled using a Kronecker product. However, for short measurement segments, these distributions can be used for approximate channel capacity calculations.
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机译：在Brigham Young University（BYU）校园中拍摄的测量用于调查室内MIMO通道的统计特性。两个统计测试，Royston和Henze-zirkler应用于MIMO数据，以评估数据是否属于多元正态分布。还通过导出似然比测试来研究作为发射器和接收器相关的相关性的Kronecker乘积的调节协方差矩阵的可能性。结果发现，诸如2×2的小型MIMO系统可以被认为是通常分布的，并且也可以用克朗克er结构近似。另一方面，较大的系统显示出强不正常性的证据，并没有使用Kronecker产品进行建模。然而，对于短测量段，这些分布可以用于近似信道容量计算。
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