| 一类广义小波消失矩的研究 |
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| 引用本文： | 张国兵,丁宣浩.一类广义小波消失矩的研究[J].汕头大学学报(自然科学版),2009,24(3):10-14,40. |
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| 作者姓名： | 张国兵 丁宣浩 |
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| 作者单位： | 桂林电子科技大学数学与计算科学学院,广西,桂林,541004 |
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| 基金项目： | 国家自然科学基金资助项目，广西研究生创新基金资助项目，广西教育厅资助项目，广西科学基金资助项目 |
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| 摘 要： | 用消失矩的标准定义来考察由特殊方法构造出来的一类广义小波的消失矩性质,给出了这类广义小波消失矩判别的一般理论和方法,进一步利用所给的判别理论和方法来判断由B-样条函数构造出来的广义小波的消失矩.
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| 关 键 词： | 消失矩 B-样条函数 Riesz基 样条小波 |
Research of Vanishing Moments for a Generalized Wavelets |
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| ZHANG Guo-bing,DING Xuan-hao.Research of Vanishing Moments for a Generalized Wavelets[J].Journal of Shantou University(Natural Science Edition),2009,24(3):10-14,40. |
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| Authors: | ZHANG Guo-bing DING Xuan-hao |
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| Institution: | (Deparment of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin 541004, Guangxi, China) |
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| Abstract: | The vanishing moments property of the generalized wavelets that it is constructed by special method is investigated using standard definition of the vanishing moments. The general theory and method are given to judge the vanishing moments of the generalized wavelets. Furthermore, the generalized wavelets that are constructed by the B-spline function are judged by using the given general theory and method in this paper. |
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| Keywords: | vanishing moments B-spline function Riesz basis spline wavelets |
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