| 引用本文： |
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张国兵,丁宣浩,蒋英春.两类B-样条小波的性质[J].广西科学,2009,16(3):243-245,252. [点击复制]
- ZHANG Guo-bing,DING Xuan-hao,JIANG Ying-chun.The Properties of Two Categories of B-spline Wavelets[J].Guangxi Sciences,2009,16(3):243-245,252. [点击复制]
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| 摘要: |
| 讨论由多尺度分析构造的两类B-样条小波的紧支撑性,对称性或反对称性,消失矩及可导性等性质.这些性质的研究进一步完善了算子小波理论,增强了小波的实用性. |
| 关键词: 样条小波 B-样条函数 Riesz基 多尺度分析 |
| DOI： |
| 投稿时间：2009-03-05 |
| 基金项目:国家自然科学基金项目(10871217);广西区研究生创新基金项目(2007105950701M04);广西区教育厅项目(桂教科研200607LX010);广西科学基金项目(桂科基0731018);桂林电子科技大学教研基金项目(Z20710)资助 |
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| The Properties of Two Categories of B-spline Wavelets |
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ZHANG Guo-bing, DING Xuan-hao, JIANG Ying-chun
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| (School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China) |
| Abstract: |
| The properties of compactly supported, symmetry or antisymmetry, vanishing moments, derivative and so on of two categories of B-spline wavelets constructed by multiresolution analysis are discussed in this paper, by the study of these properties, operator and wavelet theory is obtained to be further improved and the practical application of wavelets is further enhanced. |
| Key words: spline wavelet B-spline function Riesz basis multiresolution analysis |
