Asymptotic statistics of mutual information for doubly correlated MIMO channels
Asymptotic statistics of mutual information for doubly correlated MIMO channels
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DOI：
10.1109/twc.2008.060271
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发表时间：
2008-02
影响因子：
10.4
通讯作者：
Hyundong Shin;M. Win;M. Chiani
中科院分区：
文献类型：
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作者：
Hyundong Shin;M. Win;M. Chiani
在本文中，我们推导了在发射机和接收机均存在空间衰落相关性的情况下多输入多输出（MIMO）瑞利衰落信道的互信息的渐近统计。我们首先为结构化相关矩阵引入一类渐近线性谱统计，称为相关项。然后，MIMO 互信息的均值和方差用渐进机制中的空间相关矩阵的相关性来表示，其中发射和接收天线的数量趋于无穷大。特别是，使用关于 Toeplitz 矩阵渐近特征值分布的 Szego 定理，我们给出了具有 Toeplitz 结构指数（或 Kac-Murdock-Szego）、三对角和常数（或类内）相关矩阵的特殊类相关矩阵的示例。
In this paper, we derive the asymptotic statistics of mutual information for multiple-input multiple-output (MIMO) Rayleigh-fading channels in the presence of spatial fading correlation at both the transmitter and the receiver. We first introduce a class of asymptotic linear spectral statistics, called correlants, for a structured correlation matrix. The mean and variance of MIMO mutual information are then expressed in terms of the correlants of spatial correlation matrices in the asymptotic regime where the number of transmit and receive antennas tends to infinity. In particular, using Szego's theorem on the asymptotic eigenvalue distribution of Toeplitz matrices, we give examples for special classes of correlation matrices with Toeplitz structure-exponential (or Kac-Murdock-Szego), tridiagonal, and constant (or intraclass ) correlation matrices.