| 运用希尔伯特黄变换进行多分量信号的频散分析 |
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| 引用本文： | 蒋 礼. 运用希尔伯特黄变换进行多分量信号的频散分析[J]. 电讯技术, 2011, 51(7): 60-66. DOI: 10.3969/j.issn.1001-893x.2011.07.013 |
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| 作者姓名： | 蒋 礼 |
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| 作者单位： | 中国地质大学地球物理与空间信息学院,武汉430074;华北水利水电学院数学与信息科学学院,郑州450011 |
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| 基金项目： | 国家自然科学基金资助项目（40974079） |
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| 摘 要： | 基于谱分析原理将希尔伯特黄变换应用于多分量信号的频散分析,通过希尔伯特时频能量谱获得每个单分量信号的能量分布和群速度,通过希尔伯特时频相位谱获得每个单分量信号的相速度.在相速度的计算过程中提出异步相差和校正相差的算法,可以有效避免相位解缠.仿真结果表明,上述方案可以获得较为准确的频散分析结果.
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| 关 键 词： | 频散分析 希尔伯特谱 经验模态分解 固有模态函数 |
Frequency Dispersion Analysis of Multi component Signal using Hilbert Huang Transform |
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| JIANG Li. Frequency Dispersion Analysis of Multi component Signal using Hilbert Huang Transform[J]. Telecommunication Engineering, 2011, 51(7): 60-66. DOI: 10.3969/j.issn.1001-893x.2011.07.013 |
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| Authors: | JIANG Li |
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| Affiliation: | JIANG Li1,2(1.Institute of Geophysics and Geomatics,China University of Geosciences,Wuhan 430074,China;2.College of Mathematics and Information Science,North China University of Water Resources and Electric Power,Zhengzhou 450011,China) |
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| Abstract: | The Hilbert-Huang transform is used to analyse frequency dispersion of multi-component signal based on SASW(Spectral Analysis of Surface Waves). The group velocity and energy distribution of every single component signal can be obtained from the Hilbert time-frequency-energy spectrum.The phase velocity of every single component signal can be obtained from the Hilbert time-frequency-phase spectrum. In the process of calculating the phase velocity, the algorithm of asynchronous phase difference and emendation phase difference is advanced to solve the problem of phase unwrapping. The simulation results indicate that both above methods can lead to more satisfactory results in analysis of frequency dispersion. |
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