A CLASS OF COMPACTLY SUPPORTED ORTHOGONAL SYMMETRIC COMPLEX WAVELETS WITH DILATION FACTOR 3

doi:10.1016/S0252-9602(12)60110-6

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (4): 1415-1425.doi: 10.1016/S0252-9602(12)60110-6

A CLASS OF COMPACTLY SUPPORTED ORTHOGONAL SYMMETRIC COMPLEX WAVELETS WITH DILATION FACTOR 3

杨守志¹|沈延锋¹|李尤发²

1.Department of Mathematics, Shantou University, Shantou 515063, China|2.Department of Mathematics, Guangxi University, Nanning 530004, China

收稿日期:2010-11-09 修回日期:2011-08-31 出版日期:2012-07-20 发布日期:2012-07-20
基金资助:
This work was supported by the National Natural Science Foundation of China (11071152, 11126343), the Natural Science Foundation of Guangdong Province (10151503101000025, S2011010004511).

A CLASS OF COMPACTLY SUPPORTED ORTHOGONAL SYMMETRIC COMPLEX WAVELETS WITH DILATION FACTOR 3

YANG Shou-Zhi¹, SHEN Yan-Feng¹, LI You-Fa²

1.Department of Mathematics, Shantou University, Shantou 515063, China|2.Department of Mathematics, Guangxi University, Nanning 530004, China

Received:2010-11-09 Revised:2011-08-31 Online:2012-07-20 Published:2012-07-20
Supported by:
This work was supported by the National Natural Science Foundation of China (11071152, 11126343), the Natural Science Foundation of Guangdong Province (10151503101000025, S2011010004511).

摘要/Abstract

摘要：

When approximation order is an odd positive integer, a simple method is given to construct compactly supported orthogonal symmetric complex scaling function with dilation factor 3. Two corresponding orthogonal wavelets, one is symmetric and the other is antisymmetric about origin, are constructed explicitly. Additionally, when approximation order is an even integer 2, we also give a method to construct compactly supported orthogonal symmetric complex wavelets. In the end, there are several examples that illustrate the corresponding results.

关键词: orthogonal complex wavelets, approximation order, symmetry, scaling func-tion

Abstract:

Key words: orthogonal complex wavelets, approximation order, symmetry, scaling func-tion

中图分类号:

42C15

杨守志, 沈延锋, 李尤发. A CLASS OF COMPACTLY SUPPORTED ORTHOGONAL SYMMETRIC COMPLEX WAVELETS WITH DILATION FACTOR 3[J]. 数学物理学报(英文版), 2012, 32(4): 1415-1425.

YANG Shou-Zhi, SHEN Yan-Feng, LI You-Fa. A CLASS OF COMPACTLY SUPPORTED ORTHOGONAL SYMMETRIC COMPLEX WAVELETS WITH DILATION FACTOR 3[J]. Acta mathematica scientia,Series B, 2012, 32(4): 1415-1425.

参考文献

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A CLASS OF COMPACTLY SUPPORTED ORTHOGONAL SYMMETRIC COMPLEX WAVELETS WITH DILATION FACTOR 3

A CLASS OF COMPACTLY SUPPORTED ORTHOGONAL SYMMETRIC COMPLEX WAVELETS WITH DILATION FACTOR 3

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