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紧支小波基的非对称性及改进
Non symmetry of compactly supported wavelets bases and its improvement
【摘要】 文中给出了紧支正交小波基的非对称性(除Haar基外)的一种简捷且容易理解的证明方法;在讨论了紧支正交小波基的这种非对称性在实际应用中的不便后,系统地总结了两大类的改进方法,提出了一种用多尺度函数来改进其对称性的思路,并对重要的改进法给出了具体的算例
【Abstract】 A simple proof is given of the non symmetry of compactly supported wavelet bases (except Haar base). The inconvenience of the non symmetry in some applications is discussed before two types of improvement are systematically summarized. We propose an idea for improving its non symmetry by use of several scaling functions, with some examples given.
【关键词】 紧支正交小波;
对称性;
coif小波;
双正交小波;
【Key words】 compactly supported orthonormal wavelet; symmetry; coiflet; biorthogonal wavelet;
【Key words】 compactly supported orthonormal wavelet; symmetry; coiflet; biorthogonal wavelet;
- 【文献出处】 西安电子科技大学学报 ,JOUNAL OF XIDIAN UNIVERSITY , 编辑部邮箱 ,1999年03期
- 【分类号】O174
- 【被引频次】9
- 【下载频次】116