| Huang Daji,Zhao Jinping,Su Jilan. 2003. Practical implementation of Hilbert-Huang Transform algorithm. Acta Oceanologica Sinica, (1):1－14 |
| Practical implementation of Hilbert-Huang Transform algorithm |
| Practical implementation of Hilbert-Huang Transform algorithm |
| Received:June 30, 2002 Revised:October 20, 2002 |
| DOI： |
| Key words:Hilbert-Huang Transform(HHT) signal processing Empirical Mode Decomposition(EMD) |
| 中文关键词: Hilbert-Huang Transform(HHT) signal processing Empirical Mode Decomposition(EMD) |
| 基金项目:This study is supported by the National Natural Science Foundation of China(NSFC)under contract Nos 49790010,40076010 and 49634140,National Key Basic Research and Development Plan in China under contract No.G1999043701)and the OCEAN-863 Project of China. |
| Author Name | Affiliation | | Huang Daji | Laboratory of the Ocean Dynamic Processes and Satellite Oceanography, Second Institute of Oceanography, State Oceanic Administration, Hangzhou 310012, China | | Zhao Jinping | Laboratory of the Ocean Dynamic Processes and Satellite Oceanography, Second Institute of Oceanography, State Oceanic Administration, Hangzhou 310012, China | | Su Jilan | Laboratory of the Ocean Dynamic Processes and Satellite Oceanography, Second Institute of Oceanography, State Oceanic Administration, Hangzhou 310012, China |
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| Abstract: |
| Hilbert-Huang Transform(HHT) is a newly developed powerful method for nonlinear and non-stationary time series analysis.The empirical mode decomposition is the key part of HHT,while its algorithm was protected by NASA as a US patent,which limits the wide application among the scientific community.Two approaches,mirror periodic and extrema extending methods,have been developed for handling the end effects of empirical mode decomposition.The implementation of the HHT is realized in detail to widen the application.The detailed comparison of the results from two methods with that from Huang et al.(1998,1999),and the comparison between two methods are presented.Generally,both methods reproduce faithful results as those of Huang et al.For mirror periodic method(MPM),the data are extended once forever.Ideally,it is a way for handling the end effects of the HHT,especially for the signal that has symmetric waveform.The extrema extending method(EEM) behaves as good as MPM,and it is better than MPM for the signal that has strong asymmetric waveform.However,it has to perform extrema exvelope extending every shifting process. |
| 中文摘要: |
| Hilbert-Huang Transform(HHT) is a newly developed powerful method for nonlinear and non-stationary time series analysis.The empirical mode decomposition is the key part of HHT,while its algorithm was protected by NASA as a US patent,which limits the wide application among the scientific community.Two approaches,mirror periodic and extrema extending methods,have been developed for handling the end effects of empirical mode decomposition.The implementation of the HHT is realized in detail to widen the application.The detailed comparison of the results from two methods with that from Huang et al.(1998,1999),and the comparison between two methods are presented.Generally,both methods reproduce faithful results as those of Huang et al.For mirror periodic method(MPM),the data are extended once forever.Ideally,it is a way for handling the end effects of the HHT,especially for the signal that has symmetric waveform.The extrema extending method(EEM) behaves as good as MPM,and it is better than MPM for the signal that has strong asymmetric waveform.However,it has to perform extrema exvelope extending every shifting process. |
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