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紧支撑对称正交多小波的构造
Construction of Compactly Supported Symmetric Orthonormal Multi-wavelet
【摘要】 因为多小波可以同时具有对称性与正交性等诸多性质而成为研究热点.本文通过选取适当的正交矩阵,给出一种由已知紧支撑对称正交多小波来构造相应性质的紧支撑对称正交多小波的新方法.该方法简单易行,并以DGHM紧支撑对称正交多小波为例给出了具体构造过程.
【Abstract】 Multiwavelets,which have some advantages for example: symmetric and orthonormal etc,become a focus of research.In this paper,one method is given to generate a new compactly supported symmetric orthonormal multi-wavelet from a compactly symmetric orthonormal multi-wavelet by chosing a proper orthogonal matrix.The new multi-wavelet has similar property with the wavelet.At last,the DGHM compactly supported symmetric orthonormal multi-wavelet is given in the method as an example.
【基金】 黑龙江省教育厅高校骨干教师创新项(1054G010)
- 【文献出处】 哈尔滨理工大学学报 ,Journal of Harbin University of Science and Technology , 编辑部邮箱 ,2009年03期
- 【分类号】O174.2
- 【被引频次】9
- 【下载频次】139