摘要
文章讨论了小波的正交性、紧支性、对称性以及平滑性的作用，分析了框架意义下的冗余小波变换的特点，以及小波框架和尺度参数离散化的要点，在此基础上提出了利用复值小波变换的相位信息辅助幅值信息进行电力系统故障奇异信息检测的方法。以Ｍｏｒｌｅｔ 复值小波为例，通过对算例的分析，论证了复值小波变换的相位信息对奇异性更为敏感，能清晰地反映出信号的突变，并说明了小波尺度的选择对分析信号奇异性的作用。
The functions of orthogonality,compactibility symmetry and smoothness of the wavelet are discussed in this paper.The characteristics of redundant wavelet transform under 'Frame',wavelet frame and discretization of scales are analyzed simultaneously.A new method to detect singular signals of power systems using arguments and magnitudes of complex wavelet transform is presented in thes paper.Then the analyzing results of some signals using Morlet complex wavelet shows that arguments of complex wavelet transform are more sensitive to singularity,and sudden changing information can be obtained at certain scale,and it is important that the selection of wavelet and scales corresponding to the analyzing signals.
出处
《中国电机工程学报》
EI
CSCD
北大核心
1999年第11期1-4,51,共5页
Proceedings of the CSEE
基金
国家自然科学基金资助
华中电力集团公司资助
