Practical implementation of Hilbert—Huang Transform algorithm
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.