Based on the generalization of the central limit theorem(CLT) to special dependent variables, this paper shows that maximization of the nonGaussianity(NG) measure can separate the statistically dependent source signal...Based on the generalization of the central limit theorem(CLT) to special dependent variables, this paper shows that maximization of the nonGaussianity(NG) measure can separate the statistically dependent source signals, and the novel NG measure is given by Cook's Euclidean distance using the Chebyshev-Hermite series expansion. Then, a novel blind source separation (BSS) algorithm for linear mixed signals is proposed using Cook's NG measure, which makes it possible to separate statistically dependent source signals. Moreover, the proposed separation algorithm can result in the famous FastICA algorithm. Simulation results show that the proposed separation algorithm is able to separate the dependent signals and yield ideal展开更多
本文分析和比较了太湖水位预报的三种可能途径,认为采用具有物理基础的相关途径编制太湖水位预报方案最合适.在此基础上将太湖流域简化成 m 个线性入流系统和 n 个出流河道,根据水量平衡方程、水力学方法和水文学原理,推导出具有物理基...本文分析和比较了太湖水位预报的三种可能途径,认为采用具有物理基础的相关途径编制太湖水位预报方案最合适.在此基础上将太湖流域简化成 m 个线性入流系统和 n 个出流河道,根据水量平衡方程、水力学方法和水文学原理,推导出具有物理基础的太湖水位预报多元回归模型.模型的主要方程是线性的,其系数的物理意义是明确的.可以采用逐步回归方法和分析方法相结合的途径来确定.在太湖水位预报中,应用这一模型可以满足预报精度的要求.展开更多
基金The National Natural Science Foundation of China (No.60672049)the Science Foundation of Henan University of Technolo-gy(No.06XJC032)
文摘Based on the generalization of the central limit theorem(CLT) to special dependent variables, this paper shows that maximization of the nonGaussianity(NG) measure can separate the statistically dependent source signals, and the novel NG measure is given by Cook's Euclidean distance using the Chebyshev-Hermite series expansion. Then, a novel blind source separation (BSS) algorithm for linear mixed signals is proposed using Cook's NG measure, which makes it possible to separate statistically dependent source signals. Moreover, the proposed separation algorithm can result in the famous FastICA algorithm. Simulation results show that the proposed separation algorithm is able to separate the dependent signals and yield ideal
文摘本文分析和比较了太湖水位预报的三种可能途径,认为采用具有物理基础的相关途径编制太湖水位预报方案最合适.在此基础上将太湖流域简化成 m 个线性入流系统和 n 个出流河道,根据水量平衡方程、水力学方法和水文学原理,推导出具有物理基础的太湖水位预报多元回归模型.模型的主要方程是线性的,其系数的物理意义是明确的.可以采用逐步回归方法和分析方法相结合的途径来确定.在太湖水位预报中,应用这一模型可以满足预报精度的要求.
