基于独立分量分析的谐波检测

长期以来,谐波治理一直是电能质量控制的重要组成部分, 而准确的检测又是有效治理和分析谐波的前提和基础。将谐波的问题视作盲源分离问题,并将该领域中广泛使用的独立分量分析法运用到检测算法中。通过构建适当的虚拟观测源,从观测信号中分离出基波和各次谐波分量。实验结果表明,该方法在实时性要求不高的情况下可准确检测谐波。     

Contrasts,independent component analysis,and blind deconvolution

A general definition of contrast criteria is proposed, which induces the concept of trivial filters. These optimization criteria enjoy identifiability properties, and aim at delivering outputs satisfying specific properties, such as statistical independence or a discrete character. Several ways of building new contrast criteria are described. It is then briefly elaborated on practical numerical algorithms. Copyright © 2004 John Wiley & Sons, Ltd.     

用独立分量分析消除工频通信中的谐波干扰

通信信号在配电网传输中，其背景信号必然含有大量的谐波成分，这给通信信号的检测带来极大的困难。文中首先介绍了基于配电网的双向工频通信系统，并根据双向工频通信的信号特征，提出了基于独立分量分析的谐波消除方法。该方法在消除谐波干扰的同时，几乎对有用信号成分未有任何破坏影响。还通过MATLAB仿真对此方法进行了验证，结果良好。     

A new blind source separation method based on fractional lower‐order statistics

We proposed neural network structures related to multilayer feed‐forward networks for performing blind source separation (BSS) based on fractional lower‐order statistics. As alpha stable distribution process has no its second‐ or higher‐order statistics, we modified conventional BSS algorithms so that their capabilities are greatly improved under both Gaussian and lower‐order alpha stable distribution noise environments. We analysed the performances of the new algorithm, including the stability and convergence performance. The analysis is based on the assumption that the additive noise can be modelled as alpha stable process. The simulation experiments and analysis show that the proposed class of networks and algorithms is more robust than second‐order‐statistics‐based algorithm. Copyright © 2006 John Wiley & Sons, Ltd.     

基于独立分量分析的工频通信中的谐波干扰消除

双向工频通信系统是一种基于配电网络的通信系统。通信信号在配电网中传输时,其背景信号中必然含有大量的谐波成分,这会给通信信号的检测带来极大的困难。该文根据双向工频通信的信号特征,提出了基于独立分量分析的谐波消除方法。该方法在消除谐波干扰的同时,有用信号成分几乎不被破坏。通过Matlab对此方法进行了验证,取得了良好的效果。     

Large‐scale super‐Gaussian sources separation using Fast‐ICA with rational nonlinearities

Independent component analysis (ICA) is one of the most powerful methods for solving blind source separation problem. In various ICA methods, the Fast‐ICA is an excellent algorithm, and it finds the demixing matrix that optimizes the nonlinear contrast function. There are three original contrast functions in the Fast‐ICA to separate super‐Gaussian and sub‐Gaussian sources, and their respective derivatives are similar to nonlinearities used in neural networks. For the separation of large‐scale super‐Gaussian sources, however, the contrast functions and the nonlinearities are not optimal owing to high computational cost. To solve this potential problem, this paper proposes four rational polynomial functions to replace the original nonlinearities. Because the rational polynomials can be quickly evaluated, when they are used in the Fast‐ICA, the computational load of the algorithms can be effectively reduced. The proposed rational functions are derived by the Pade approximant from Taylor series expansion of the original nonlinearities. To reduce the error of approximation, we make the behaviors of rational functions approach that of the original ones within an effective range as well as possible. The simulation results show that the Fast‐ICA algorithms with rational nonlinearities not only can speed up the convergence but also improve the separation performance of super‐Gaussian blind source separation. Copyright © 2016 John Wiley & Sons, Ltd.