A class of compactly supported orthogonal symmetric complex wavelets with dilation factor 3 |
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Authors: | Yang Shouzhi Shen Yanfeng Li Youfa |
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Affiliation: | 1. Department of Mathematics, Shantou University, Shantou 515063, China;2. Department of Mathematics, Guangxi University, Nanning 530004, China |
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Abstract: | 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. |
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Keywords: | orthogonal complex wavelets approximation order symmetry scaling function |
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