Optimum power allocation for parallel Gaussian channels with arbitrary input distributions
Optimum power allocation for parallel Gaussian channels with arbitrary input distributions
复制标题
DOI：
10.1109/tit.2006.876220
复制
发表时间：
2006-07-01
影响因子：
2.5
通讯作者：
Verdu, Sergio
中科院分区：
文献类型：
--
作者：
Lozano, Angel;Tulino, Antonia M.;Verdu, Sergio
在平均功率约束下，独立并行高斯噪声信道的互信息通过按照注水策略分配功率的独立高斯输入达到最大化。在实际中，使用具有有限峰均比的离散信号星座（m - PSK、m - QAM等）来代替理想的高斯信号。本文给出了在具有任意输入分布的并行信道上使互信息最大化的功率分配策略。这种策略有一种图形解释，称为汞/注水，它推广了注水解决方案并保留了其部分直观性。高斯信道的互信息与非线性最小均方误差（MMSE）之间的关系被证明是解决功率分配问题的关键。
The mutual information of independent parallel Gaussian-noise channels is maximized, under an average power constraint, by independent Gaussian inputs whose power is allocated according to the waterfilling policy. In practice, discrete signaling constellations with limited peak-to-average ratios (m-PSK, m-QAM, etc.) are used in lieu of the ideal Gaussian signals. This paper gives the power allocation policy that maximizes the mutual information over parallel channels with arbitrary input distributions. Such policy admits a graphical interpretation, referred to as mercury/waterfilling, which generalizes the waterfilling solution and allows retaining some of its intuition. The relationship between mutual information of Gaussian channels and nonlinear minimum mean-square error (MMSE) proves key to solving the power allocation problem.