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紧支撑正交复小波的参数化(英文)
Parameterizations of Orthogonal Complex Wavelets with Short Support
【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.
【Abstract】 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.
【关键词】 参数化;
正交性;
复小波;
对称性;
紧支撑;
【Key words】 parameterization; orthogonality; complex wavelets; symmetry; compact support;
【Key words】 parameterization; orthogonality; complex wavelets; symmetry; compact support;
【基金】 The National Natural Science Foundation of China(11071152);the Natural Science Foundation of Guangdong Province(10151503101000025;S2011010004511)
- 【文献出处】 工程数学学报 ,Chinese Journal of Engineering Mathematics , 编辑部邮箱 ,2013年05期
- 【分类号】O174.2
- 【被引频次】3
- 【下载频次】60