MIMO Gaussian Channels With Arbitrary Inputs: Optimal Precoding and Power Allocation
MIMO Gaussian Channels With Arbitrary Inputs: Optimal Precoding and Power Allocation
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DOI：
10.1109/tit.2009.2039045
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发表时间：
2010-03
影响因子：
2.5
通讯作者：
F. Pérez-Cruz;M. Rodrigues;S. Verdú
中科院分区：
文献类型：
--
作者：
F. Pérez-Cruz;M. Rodrigues;S. Verdú
在本文中，我们研究的线性预编码和功率分配政策，最大化的互信息一般多输入多输出（MIMO）高斯信道与任意输入分布，利用互信息和最小均方误差（MMSE）之间的关系。最佳线性预编码器满足作为信道和输入星座的函数的定点方程。对于非高斯输入，非对角预编码矩阵通常增加信息传输速率，即使对于并行非交互信道也是如此。每当预编码被排除，最优功率分配策略也满足一个固定点方程，我们提出了一个概括的汞/注水算法，以前提出的并行无干扰信道，其中汞水平不仅占非高斯输入分布，但也为输入之间的干扰。
In this paper, we investigate the linear precoding and power allocation policies that maximize the mutual information for general multiple-input-multiple-output (MIMO) Gaussian channels with arbitrary input distributions, by capitalizing on the relationship between mutual information and minimum mean-square error (MMSE). The optimal linear precoder satisfies a fixed-point equation as a function of the channel and the input constellation. For non-Gaussian inputs, a nondiagonal precoding matrix in general increases the information transmission rate, even for parallel noninteracting channels. Whenever precoding is precluded, the optimal power allocation policy also satisfies a fixed-point equation; we put forth a generalization of the mercury/waterfilling algorithm, previously proposed for parallel noninterfering channels, in which the mercury level accounts not only for the non-Gaussian input distributions, but also for the interference among inputs.