Abstract
There are overshoot and undershoot phenomenon and end swing phenomenon in the cubic spline fitting in Hilbert-Huang transform. The two problems influence data quality of the empirical mode decomposition seriously. The cubic spline fitting has been analysed, and the causes of producing the overshoot and undershoot phenomenon and the end swing phenomenon have been pointed out in this paper. Two new methods of cubic spline fitting and sine spline fitting and the new technique of handling the end points of the original data curve can completely remove the overshoot and undershoot phenomenon and the end swing phenomenon on the condition of unchanging original data, and have the advantages of the continuous fitting functions and its continuous one order derivative, the simple and convenient calculations, the small calculation amount and the easy work on it.
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Foundation item: The Foundation Research and Development Programs of China (2004CB418404).
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Long, Ss., Zhang, Tb. & Long, F. Causes and solutions of overshoot and undershoot and end swing in Hilbert-Huang transform. Acta Seimol. Sin. 18, 602–610 (2005). https://doi.org/10.1007/s11589-005-0039-3
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DOI: https://doi.org/10.1007/s11589-005-0039-3