| 由小波变换模极大值重构信号的快速算法 |
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| 引用本文： | 孙丰荣,翟广涛,李艳玲,刘泽,张梅,张运.由小波变换模极大值重构信号的快速算法[J].小型微型计算机系统,2005,26(12):2147-2149. |
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| 作者姓名： | 孙丰荣 翟广涛 李艳玲 刘泽 张梅 张运 |
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| 作者单位： | 1. 山东大学,信息科学与工程学院,山东,济南,250100
2. 山东大学,齐鲁医院心内科,山东,济南,250100 |
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| 基金项目： | 国家自然科学基金项目（60271015）资助. |
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| 摘 要： | 信号在不同尺度上的小波变换模极大值包含了信号中的重要信息,因此研究如何由小波变换模极大值重构信号是很有意义的.本文提出了一种基于Hermite插值由二进小波变换模极大值重构信号的快速算法.数值试验表明,与Mallat经典的交替投影算法相比,本文算法可以在保证信号重构质量的前提下简化计算过程,提高计算效率,计算所需时间与交替投影算法相比大大减少,是一种实用性较强的信号重构算法.
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| 关 键 词： | 二进小波变换 模极大值 信号重构 Hermite插值 |
| 文章编号： | 1000-1220（2005）12-2147-03 |
| 收稿时间： | 2004-11-15 |
| 修稿时间： | 2004-11-15 |
Fast Algorithm of Signal Reconstruction from Modulus Maxima of the Wavelet Transform |
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| SUN Feng-rong,ZHAI Guang-tao,LI Yan-ling,LIU Ze,ZHANG Mei,ZHANG Yun.Fast Algorithm of Signal Reconstruction from Modulus Maxima of the Wavelet Transform[J].Mini-micro Systems,2005,26(12):2147-2149. |
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| Authors: | SUN Feng-rong ZHAI Guang-tao LI Yan-ling LIU Ze ZHANG Mei ZHANG Yun |
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| Affiliation: | 1.School of Information Science and Technology, ShanDong University, Jinan 250100,China; 2.Department of Cardiology,Qilu Hospital of ShanDong University,Jinan 250012,China |
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| Abstract: | The modulus maxima of wavelet transform on different levels contain important information of signals, so it is meaningful to probe how to reconstruct wavelet coefficients form the modulus maxima. A fast algorithm based on Hermite interpolation polynomial for reconstructing signal from the wavelet transform maxima is proposed in the paper. Compared with the classical alternating projection algorithm introduced by Mallat, the numerical experiments show that the fast algorithm is simpler, more efficient, and it is practical for signal reconstruction. |
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| Keywords: | wavelet transform signal reconstruction modulus maxima Hermite interpolation polynomial |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
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