Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 335, Issue -, Pages 112-123Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2018.04.008
Keywords
Empirical mode decomposition (EMD); C-2 piecewise rational cubic spline interpolation (PRCSI); C-2 monotone piecewise rational cubic spline interpolation (MPRCSI); Envelope algorithm; Undershoots
Categories
Funding
- National Natural Science Foundation of China [61771001]
Ask authors/readers for more resources
In this paper, we propose an improved empirical mode decomposition (EMD) method, termed IEMD, with modified envelope algorithm based on C-2 piecewise rational and C-2 monotone piecewise rational cubic spline interpolations, for the decomposition of nonlinear and non-stationary EMI signals. In the sifting procedure, we first construct the upper and lower envelopes employing C-2 piecewise rational cubic spline interpolation (PRCSI) technique. Considering the existence of undershoots, we further modify the original envelopes iteratively with C-2 monotone piecewise rational cubic spline interpolation (MPRCSI) technique, for the elimination of undershoots as accurate as possible. Experiments on synthetic and real signals, compared with three improved versions of EMD, three for ensemble EMD (EEMD) and TL-SVD, demonstrate that the proposed method is more valid and flexible when applied to the decomposition of synthesis harmonic signals and real EEG signals, signifying it also can be applied to the decomposition of EMI signals which are known to be extremely nonlinear and non-stationary. (C) 2018 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available