| 一阶基样条N1（x）作为尺度函数在不同尺度因子下小波的构造 |
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| 引用本文： | 杨守志. 一阶基样条N1（x）作为尺度函数在不同尺度因子下小波的构造[J]. 信阳师范学院学报(自然科学版), 1996, 9(1): 6-12 |
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| 作者姓名： | 杨守志 |
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| 作者单位： | 信阳师院数学系 |
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| 摘 要： | 本文对Ｎ１（ｘ）作尺度函数在尺度因子ａ＝２，３，４三种情形，讨论其小波的构造。ａ＝２时，存在唯一的小波分解；ａ＝３时，存在唯一的对称小波和反对称小波分解；ａ＝４，存在无穷多种一个对称小波和两个反对称小波的分解。
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| 关 键 词： | B样条函数 尺度函数 正交基 尺度函数 |
Construction of Compactly Supported Orthonorma,Wavelets by Cardinal Spline N_1(x) as Scale Function |
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| Yang Shouzhi. Construction of Compactly Supported Orthonorma,Wavelets by Cardinal Spline N_1(x) as Scale Function[J]. Journal of Xinyang Teachers College(Natural Science Edition), 1996, 9(1): 6-12 |
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| Authors: | Yang Shouzhi |
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| Affiliation: | Dept of Math.Xinyang Teachers College.Xinyang Henan;China 464000 |
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| Abstract: | In this paper,when N,(x)is been as scale function,for scaling parameter a=2,3,4,Conslruction of Wavelets are given.when a=2,there is unique Orthonormal wavelet bale (ignored sign) lwhen a=3,there is unique orlhonormal wavelet base that.is composed of a symmetric and antisymmetric(ignored sign) lwhen a=4,there is infinite wavelets base that is composed of a symmetric and two antisymmetric wavelets. |
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| Keywords: | N_1 (x) Scale function Orthonormal base Symmetric scale function. |
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