| 小波分析标架理论的几何表述 |
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| 引用本文： | 孙功勤,李长昕.小波分析标架理论的几何表述[J].鞍山科技大学学报,2007,30(3):225-229,235. |
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| 作者姓名： | 孙功勤 李长昕 |
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| 作者单位： | 辽宁科技大学电子与信息工程学院,辽宁鞍山114051 |
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| 摘 要： | 标架理论是小波分析理论中的一个关键内容。给出了这一理论的一个几何表述，从而深入地揭示了标架理论的实质，进而阐明了稳定性条件，标架常数的意义，分析了Riesz基与标架之间的区别与联系，并给出了对偶标架与重构公式的一个简洁推导。
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| 关 键 词： | 小波 正交基 标架 对偶标架 |
| 文章编号： | 1672-4410（2007）03-0225-06 |
| 收稿时间： | 2007-04-10 |
| 修稿时间： | 2007-04-10 |
A geometrical presentation of frame theory in wavelet analysis |
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| SUN Gong-qin , LI Chang-xin.A geometrical presentation of frame theory in wavelet analysis[J].Journal of Anshan University of Science and Technology,2007,30(3):225-229,235. |
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| Authors: | SUN Gong-qin LI Chang-xin |
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| Institution: | School of Electronic and Information Engineering, University of Science and Technology Liaoning, Anshan 114051, China |
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| Abstract: | As a key content in the theory of wavelet analysis(WA),the notion of the frame was described abstractly in almost all the literatures of WA.A geometrical presentation of the frame theory was given so as to reveal the essential mater behind the notion of the frame.The meaning of the condition of stability and compatibility is also analyzed,which makes it clear that the difference and relationship between Riesz bases and the frame. |
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| Keywords: | wavelet orthogonal base frame dual frame |
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