An Improved EMD and Its Applications to Find the Basis Functions of EMI Signals

A B-spline empirical mode decomposition (BEMD) method is proposed to improve the celebrated empirical mode decomposition (EMD) method. The improvement of BEMD on EMD mainly concentrates on the sifting process. First, instead of the curve that resulted from computing the average of upper and lower envelopes, the curve interpolated by the midpoints of local maximal and minimal points is used as the mean curve, which can reduce the cost of computation. Second, the cubic spline interpolation is replaced with cubic B-spline interpolation on account of the advantages of B-spline over polynomial spline. The effectiveness of BEMD compared with EMD is validated by numerical simulations and an application to find the basis functions of EMI signals.

[1]  Yuesheng Xu,et al.  A B-spline approach for empirical mode decompositions , 2006, Adv. Comput. Math..

[2]  Bo Zhang,et al.  Research on periodic switching frequency modulation for conducted EMI suppressing in power converter , 2011, Microelectron. J..

[3]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[4]  Jin-Liang Wang,et al.  Extreme-Point Symmetric Mode Decomposition Method for Data Analysis , 2013, Adv. Data Sci. Adapt. Anal..

[5]  Yong Yan,et al.  Hilbert–Huang transform based signal analysis for the characterization of gas–liquid two-phase flow , 2007 .

[6]  P. Tse,et al.  An improved Hilbert–Huang transform and its application in vibration signal analysis , 2005 .

[7]  Wang Xiaotong,et al.  Improved EMD for the analysis of FM signals , 2012 .

[8]  Bin Zhang,et al.  Envelope Extraction of Anaesthesia Breathing Sound Signal on Hilbert Huang Transform , 2012 .

[9]  Abdelkhalek BOUCHIKHI,et al.  Multicomponent AM-FM signals analysis based on EMD-B-splines ESA , 2012, Signal Process..

[10]  Olivier Adam,et al.  The use of the Hilbert-Huang transform to analyze transient signals emitted by sperm whales , 2006 .

[11]  Troels Sørensen,et al.  GPS synchronization and EMC of harmonic and transient measurement equipment in offshore wind farms , 2012 .

[12]  Di Zhao,et al.  A New Signal Classification Method Based on EEMD and FCM and its Application in Bearing Fault Diagnosis , 2014 .

[13]  Stéphane Lecoeuche,et al.  Set-membership methods applied to identify high-frequency elements of EMI filters , 2014 .