| 互为Hilbert变换对的正交小波构造及其应用 |
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| 引用本文： | 陈志新,徐金梧,杨德斌.互为Hilbert变换对的正交小波构造及其应用[J].北京科技大学学报,2008,30(4):446-451. |
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| 作者姓名： | 陈志新 徐金梧 杨德斌 |
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| 作者单位： | 北京科技大学机械工程学院,北京,100083 |
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| 摘 要： | 提出一种互为Hilbert变换对的小波代数构造方法.这种互为Hilbert变换对的小波基的构造是从构造小波的充要条件入手,利用延迟滤波器的思想,把问题化为代数方程组求解.该方法可以避免进行谱分解.经实验证实:由基于本文构造的小波对的对偶树复小波变换可以得到比离散小波变换更好的特征提取效果.
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| 关 键 词： | 小波构造 Hilbert变换对 对偶树复小波变换 滤波器 故障诊断 |
| 修稿时间： | 2006年12月5日 |
Design and application of Hilbert transform pairs of wavelet bases |
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| CHEN Zhixin,XU Jinwu,YANG Debin.Design and application of Hilbert transform pairs of wavelet bases[J].Journal of University of Science and Technology Beijing,2008,30(4):446-451. |
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| Authors: | CHEN Zhixin XU Jinwu YANG Debin |
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| Abstract: | A method for designing Hilbert transform pairs of orthogonal and biorthogonal wavelet bases was proposed,which can translate the problem into resolving algebraic equations via a flat fractional delay filter based on the sufficient and necessary condition for constructing wavelet.It avoids performing spectral factorization.Experiments show that the dual-tree complex wavelet transform(DT-CWT)based on the wavelet bases constructed by this method can more fit to extract features than the real discrete wavelet transform(DWT). |
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| Keywords: | wavelet construction Hilbert transform pairs dual-tree complex wavelet transform filter fault diagnosis |
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