| 三带紧支撑正交内插尺度函数的构造 |
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| 引用本文： | 王亚军,冯象初. 三带紧支撑正交内插尺度函数的构造[J]. 江苏科技大学学报(社会科学版), 2007, 21(3): 33-35 |
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| 作者姓名： | 王亚军 冯象初 |
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| 作者单位： | 江苏科技大学,数理学院,江苏,镇江,212003;西安电子科技大学,理学院,陕西,西安,710071 |
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| 摘 要： | 提出了设计同时具有紧支撑、正交性、内插性和正则性的3-带尺度函数的方法,从而利用Walter小波采样定理能够快速而准确地重构多分辨空间Vj(φ)的信号f(t),除了计算机的有限字长误差外,没有任何截断误差。
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| 关 键 词： | 采样定理 尺度函数 内插性 正则性 |
| 文章编号： | 1673-4807（2007）03-0033-03 |
| 修稿时间： | 2006-06-30 |
Construction of 3-band Compactly Supported Orthogonal Interpolating Scaling Functions |
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| WANG Yajun,FENG Xiangchu. Construction of 3-band Compactly Supported Orthogonal Interpolating Scaling Functions[J]. Journal of Jiangsu University of Science and Technology(Natural Science Edition), 2007, 21(3): 33-35 |
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| Authors: | WANG Yajun FENG Xiangchu |
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| Affiliation: | 1. School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang Jiangsu 212003, China; 2. School of Science, Xidian University, Xian Shanxi ,710071, China |
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| Abstract: | An approach to the design of a three-band scaling function is proposed with the compact support,the orthogonality,the regularity and the interpolation.The Walter's sampling theorem for the wavelet subspace in the three-band case is used to reconstruct the signal quickly and accurately on the multiresolution space without any truncated errors. |
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| Keywords: | sampling theorem scaling function interpolation regularity |
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