Practical implementation of Hilbert-Huang Transform algorithm

查看全文 作　　者：[1]黄大吉;[1]赵进平;[1]苏纪兰 机构地区：[1]Laboratory of the Ocean Dynamic Processes and Satellite Oceanography,Second Institute of Oceanography,State Oceanic Administration,Hangzhou 310012,China 出　　处：《Acta Oceanologica Sinica》索引2003年第22卷第1期,共14页 基　　金：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. 摘　　要：Hilbert-Huang Transform (HHT) is a newly developed powerful method for nonlinearand 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 thescientific community. Two approaches, mirror periodic and extrema extending methods, have been de-veloped for handling the end effects of empirical mode decomposition. The implementation of the HHT isrealized in detail to widen the application. The detailed comparison of the results from two methods withthat from Huang et al. (1998, 1999), and the comparison between two methods are presented. Gener-ally, 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 theHHT, 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 wave-form. However, it has to perform extrema envelope extending in every shifting process. 关 键 词：HHT EEM MPM 非线性非稳态时间序列分析 Hilbert-Huang变换算法 信号分析