| 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。 |
| 关键词: 频散分析；希尔伯特谱 经验模态分解 固有模态函数 |
| DOI： |
|
| 基金项目:国家自然科学基金资助项目（40974079） |
|
| Frequency Dispersion Analysis of Multi component Signal using Hilbert Huang Transform |
| JIANG Li |
| (Institute of Geophysics and Geomatics, China University of Geosciences,Wuha
n 430074,China;
College of Mathematics and Information Science,North China University of Wat
er Resources and Electric Power, Zhengzhou 450011,China) |
| Abstract: |
| The Hilbert-Huang transform is used to analyse frequency dispersion o
f 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-en
er
gy spectrum.The phase velocity of every single component signal can be obtained
f
rom the Hilbert time-frequency-phase spectrum. In the process of calculating the
phase velocity, the algorithm of asynchronous phase difference and emendation p
hase 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. |
| Key words: frequency dispersion analysis Hilbert spectrum empirical mode decomposition intrinsic mode function |
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