摘要
近年来,紧支撑对称正交复小波被广泛应用到不同领域.本文给出一简单的方法对紧支撑的正交复小波进行参数化.该方法可以用来构造一类紧支撑、满足高阶求和法则的正交实值或复值小波.最后给出了具有不同性质的正交复小波的构造例子.
The compactly supported orthogonal complex wavelets with symmetry have widely been used in various applications during the recent years. In this paper, we present a simple but complete method for the parameterizing orthogonal complex wavelets with length from four to six. This method can provide a class of orthogonal real or complex wavelets with short support and high sum rules. Furthermore, some examples are given in this paper.
出处
《工程数学学报》
CSCD
北大核心
2013年第5期773-780,共8页
Chinese Journal of Engineering Mathematics
基金
The National Natural Science Foundation of China(11071152)
the Natural Science Foundation of Guangdong Province(10151503101000025
S2011010004511)
关键词
参数化
正交性
复小波
对称性
紧支撑
parameterization
orthogonality
complex wavelets
symmetry
compact support
