| 一类新三元紧支撑正交小波及其构造 |
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| 引用本文： | 徐应祥,关履泰,许伟志.一类新三元紧支撑正交小波及其构造[J].中山大学学报(自然科学版),2010,49(5). |
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| 作者姓名： | 徐应祥 关履泰 许伟志 |
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| 作者单位： | 中山大学科学计算与计算机应用系,广东,广州,510275 |
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| 基金项目： | 教育部高等学校博士点科研基金资助项目 |
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| 摘 要： | 研究了一类新三元紧支撑正交小波的构造方法,由此构造方法可得到一类新的三元张量积(可分的)小波和三元非张量积(不可分)小波,而且构造过程较为简单。在给出详细的构造方法的同时,讨论了这类新的三元小波所具有的消失矩性质,最后给出了一些具体的例子。
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| 关 键 词： | 紧支撑 非张量积 正交小波 尺度函数 共轭滤波器 |
| 收稿时间： | 2009-09-01; |
Construction of a Class of New Tri-variate Compactly Supported Orthogonal Wavelets |
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| XU Yingxiang,GUAN Lütai,XU Weizhi.Construction of a Class of New Tri-variate Compactly Supported Orthogonal Wavelets[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2010,49(5). |
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| Authors: | XU Yingxiang GUAN Lütai XU Weizhi |
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| Institution: | (Department of Scientific Computation and Computer Application,Sun Yat sen University, Guangzhou 510275, China) |
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| Abstract: | A method of construction of tri variate compactly supported orthogonal wavelets is studied. By the constructing method, some new tri variate separable and tri variate non separable wavelets can be obtained and the method is very simple. Giving the detail of the constructing method, the vanishing moments properties of this new tri variate wavelets are also discussed. Some numerical examples are given. |
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| Keywords: | compactly supported non tensor product orthogonal wavelet scaling function conjugate filter |
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