Acta mathematica scientia, Series B >
A CLASS OF COMPACTLY SUPPORTED ORTHOGONAL SYMMETRIC COMPLEX WAVELETS WITH DILATION FACTOR 3
Received date: 2010-11-09
Revised date: 2011-08-31
Online 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).
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.
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 . DOI: 10.1016/S0252-9602(12)60110-6
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