摘要
提出了一种构造双正交紧支复小波的方法 :以现有任何一种正交或双正交实小波为基础 ,可构造出消失矩阶数可任意选定的无穷多个相频特性 (包括线性相位特性 )不同的双正交紧支复小波。其特点为 :由于是双正交紧支型 ,可采用Mallat算法等快速算法 ,因此使用时实时性好 ;因为是复小波 ,所以能提取电力系统至关重要的相位信息 ;具有多种相频特性 ,便于与相频特性多变的电力系统信号匹配等 ,因此这类小波在电力系统有广泛的应用前景。
This paper presents a lifting scheme based generalizition procedure to construct omplex compactly supported biorthogonal wavelets as many as need with various phase spectrums including linear phase spectrums and the number of vanishing moments we want. This kind of complex wavelets can extract phase information and can match well to different signals with different phase spectrums. Wavelet tranforms with these wavelets can be implemented quickly. These make them be powerful tools for signal processing in power system. Examples how to design complex compactly supported biorthogonal wavelets by this procedure are given.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2001年第5期34-37,42,共5页
Proceedings of the CSEE
基金
国家自然科学基金资助项目! (5 0 0 770 2 1)
