| 互为Hilbert变换对的对偶树复小波的构造 |
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| 引用本文： | 李万社,田丽伟.互为Hilbert变换对的对偶树复小波的构造[J].云南师范大学学报(自然科学版),2011,31(1):4-8. |
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| 作者姓名： | 李万社 田丽伟 |
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| 作者单位： | 陕西师范大学,数学与信息科学学院,陕西,西安,710062 |
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| 基金项目： | 国家自然科学基金资助项目(10571113) |
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| 摘 要： | 分析了对偶树复小波变换的相关原理,利用Q-移位的思想从构造小波的充要条件出发,给出了互为Hilbert变换对的复小波的代数构造方法。该方法避免了进行谱分解,且具体给出了支集长度为3的小波所对应的滤波器。
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| 关 键 词： | Hilbert变换对 解析复小波 Q-移位正交滤波器 线性相位 |
Design of Hilbert Transform Pairs of Dual-Tree Complex Wavelet |
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| LI Wan-she,TIAN Li-wei.Design of Hilbert Transform Pairs of Dual-Tree Complex Wavelet[J].Journal of Yunnan Normal University (Natural Sciences Edition),2011,31(1):4-8. |
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| Authors: | LI Wan-she TIAN Li-wei |
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| Institution: | LI Wan-she,TIAN Li-wei(College of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,China) |
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| Abstract: | This paper analyzes the dual tree complex wavelet transform of the relevant principles.A method for design Hilbert transform pairs of wavelet algebra constructed was proposed from the necessary and sufficient conditions for constructing wavelet.It avoids performing spectral factorization,and gives the supported set of length 3 corresponding to the wavelet filter. |
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| Keywords: | dual-tree complex wavelet transform Hilbert transform pairs Q-shift orthogonal filter Complex analytical wavelet |
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