A Maximum Entropy Characterization of Spatially Correlated MIMO Wireless Channels
A Maximum Entropy Characterization of Spatially Correlated MIMO Wireless Channels
复制标题
空间相关 MIMO 无线信道的最大熵表征
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
A. L. Moustakas
中科院分区：
文献类型：
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作者：
M. Guillaud;M. Debbah;A. L. Moustakas
我们调查的问题，建立联合概率分布的条目的多输入多输出（MIMO）空间相关的平坦衰落信道，当很少或没有关于信道特性的信息。我们证明了随机半正定矩阵的熵由Wishart分布最大化。我们随后获得的MIMO传输矩阵的最大熵分布，通过建立其分布的协方差的条件下，并通过稍后边缘化的协方差矩阵。所得到的分布是各向同性的，并且被解析地描述为信道矩阵的Frobenius范数的函数。
We investigate the problem of establishing the joint probability distribution of the entries of a multiple-input multiple-output (MIMO) spatially correlated flat-fading channel, when little or no information about the channel properties are available. We show that the entropy of a random positive semidefinite matrix is maximized by the Wishart distribution. We subsequently obtain the maximum entropy distribution of the MIMO transfer matrix by establishing its distribution conditioned on the covariance, and by later marginalizing over the covariance matrix. The obtained distribution is isotropic, and is described analytically as a function of the Frobenius norm of the channel matrix.