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中国电机工程学报 2007, 27(22) 8-13 DOI:
ISSN: 0258-8013 CN: 11-2107/TM |
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| 电力系统 |
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实小波变换提取相位信息方法研究 |
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陈祥训 |
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中国电力科学研究院 |
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摘要：
理论上快速离散小波变换(RDWT)的近似系数s(n)、细节系数w(n)中包含被分析信号的所有信息，包括相位信息，因此相位信息可利用RDWT提取。该文提出三种从RDWT的s(n)、w(n)系数中提取相位信息的方法，与现有的用复小波变换提取相位信息的方法相比，该文方法具有RDWT特有的简单、快速、信息非冗余等显著优点，而且对每个尺度上的小波变换系数进行正交化处理，便可借助小波域相子提取该尺度上的一种频率分量的真实相位，这些特点是现有方法不可能同时具备的。对Matlab测试波形的分析证明了该文方法提取的相位信息是正确的。
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关键词：
实小波变换
相位信息
小波域正交信号
小波域相子
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Methods to Extract Phase Information Using Real Wavelet Transforms |
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Abstract:
Real valued discrete wavelet transform (RDWT) can be used to extract phase information of the analyzed signal because the information theoretically should be preserved in the smooth coefficients s(n) and detail coefficients w(n) of the RDWT. This paper presented three methods to separate phase information from the real value s(n) and w(n). Compared with existing complex wavelet transform-based methods, proposed methods inherited all excellence features from RDWT, that is simple, fast, and non-redundancy. Furthermore, using wavelet domain phasor defined in this paper the new methods have ability to obtain true phase angle of one frequency component of the signal at each wavelet transform scale if quadrature technique suggested in the paper is utilized to modify s(n) and/or w(n). It is impossible to have all above features for a complex wavelet transform-based method. Phase information extracted from testing signals in Matlab wavelet toolbox demonstrated that the proposed methods are correct.
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Keywords:
real valued wavelet transform
phase information
quadrature signal in wavelet-domain
phasor in wavelet-domain
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收稿日期 2006-06-30 修回日期 1900-01-01 网络版发布日期 |
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DOI: |
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基金项目:
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通讯作者: 陈祥训 |
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作者简介: |
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作者Email: xxchen@epri.ac.cn |
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| Copyright by 中国电机工程学报 |
