On the selection of Intrinsic Mode Function in EMD method: Application on heart sound signal

Empirical mode decomposition (EMD) allows decomposing an observed multicomponent signal into a set of monocomponent signals called Intrinsic Mode Functions (IMFs). EMD provides a large number of IMFs and it is important to select the fundamental IMFs and eliminate the redundant ones. This paper proposes a new criterion, based simultaneously on the Minkowski distance and the Jensen Rényi divergence of order α (α-JRD), to automatically select the appropriate IMFs in a set of the extracted ones. Examples, using synthetic and real-life heart sound signals, are presented in order to validate the performance of the proposed technique.

[1]  Gabriel Rilling,et al.  One or Two Frequencies? The Empirical Mode Decomposition Answers , 2008, IEEE Transactions on Signal Processing.

[2]  H. C. Lee,et al.  Time-frequency analysis of the first heart sound. Part 2: An appropriate time-frequency representation technique , 1997, Medical and Biological Engineering and Computing.

[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]  Selin Aviyente.  Information processing on the time-frequency plane , 2004, 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[5]  Gabriel Rilling,et al.  On empirical mode decomposition and its algorithms , 2003 .

[6]  Manuel Duarte Ortigueira,et al.  On the HHT, its problems, and some solutions , 2008 .

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

[8]  Cheng Junsheng,et al.  Research on the intrinsic mode function (IMF) criterion in EMD method , 2006 .

[9]  H. C. Lee,et al.  Time-frequency analysis of the first heart sound. Part 1: Simulation and analysis , 1997, Medical and Biological Engineering and Computing.

[10]  S. Charleston-Villalobos,et al.  Analysis of Simulated Heart Sounds by Intrinsic Mode Functions , 2006, 2006 International Conference of the IEEE Engineering in Medicine and Biology Society.

[11]  Louis-Gilles Durand,et al.  Nonlinear transient chirp signal modeling of the aortic and pulmonary components of the second heart sound , 2000, IEEE Transactions on Biomedical Engineering.