| 一种具有消失矩的小波基的构造 |
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| 引用本文： | 彭瑞仁,陈基明,彭康.一种具有消失矩的小波基的构造[J].应用数学和力学,1999,20(3):235-240. |
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| 作者姓名： | 彭瑞仁 陈基明 彭康 |
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| 作者单位： | 1.上海大学29信箱, 上海, 200072; |
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| 摘 要： | 在N≥2情况下构造了一种性质良好的小波母函数,这种小波母函数N阶可导并且趋于零的阶数为O|t|-N(|t|→∞),同时具有N-2阶消失矩和某种对称性.文章还就N=4的情况给出了计算实例.
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| 关 键 词： | 消失矩 尺度函数 正交小波母函数 |
| 收稿时间： | 1998-01-20 |
Construction of Wavelet Bases with Vanishing Movement |
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| Peng Ruiren,Chen Jiming,Peng Kang.Construction of Wavelet Bases with Vanishing Movement[J].Applied Mathematics and Mechanics,1999,20(3):235-240. |
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| Authors: | Peng Ruiren Chen Jiming Peng Kang |
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| Institution: | 1.Science College, Shanghai University;Shanghai 200072, P. R. China;2.Changzhou Textile Industrial Coll, Changzhou, 213000, P. R. China |
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| Abstract: | A kind of mother wavelet with good properties is constructed for any N≥2, which is di-f ferentiable for N times, converges to zero at the order of O|t|-N(|t|→∞) and has N-2 order of vanishing movement and some property of symmetry meanwhile. A computation example for N=4 is also given. |
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| Keywords: | vanishing movement scaling function orthgonal mother wavelet |
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