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《Journal of Data Acquisition & Processing》 2005-01
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New Envelope Algorithm for Hilbert-Huang Transform

ZHONG You-ming, Jin Tao, QIN Shu-ren (Test Center, College of Mechanical Engineering, Chongqing University, Chongqing, 400030,China)  
Hilbert-Huang transform (HHT) is a new method for signal analysis developed by Norden.E.Huang et al in 1998. The key problem is the envelope (-fitting) algorithm, however, the existing algorithms are still not very perfect. This paper first introduces the problem of envelope algorithm of HHT and analyzes the shortages of two shorts of classical envelope algorithms, i.e. cubic spline interpolation algorithm and Akima interpolation algorithm. According to the principle of the parabola parameter spline interpolation algorithm, an important conclusion, called section slide theorem is proved with eyeable geometry meaning and a new envelope algorithm-subsection power function method is presented. The new envelope algorithm is worthy of being referred and applied since some examples have shown that the new envelope algorithm sometimes is softer than cubic spline interpolation algorithm and slider than Akima interpolation algorithm, and it brings less persuade frequency in HHT analysis.
【Fund】: 国家自然科学基金 ( 5 0 1 3 5 0 5 0 )资助项目 ;; 国家自然科学基金 ( 5 0 2 75 1 5 4)资助项目
【CateGory Index】: TB534
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