Title :
Empirical mode decomposition as a filter bank
Author :
Flandrin, Patrick ; Rilling, Gabriel ; Gonçalvés, Paulo
Author_Institution :
Ecole Normale Superieure de Lyon, UMR CNRS, Lyon, France
Abstract :
Empirical mode decomposition (EMD) has recently been pioneered by Huang et al. for adaptively representing nonstationary signals as sums of zero-mean amplitude modulation frequency modulation components. In order to better understand the way EMD behaves in stochastic situations involving broadband noise, we report here on numerical experiments based on fractional Gaussian noise. In such a case, it turns out that EMD acts essentially as a dyadic filter bank resembling those involved in wavelet decompositions. It is also pointed out that the hierarchy of the extracted modes may be similarly exploited for getting access to the Hurst exponent.
Keywords :
Gaussian noise; amplitude modulation; channel bank filters; frequency modulation; Hurst exponent; broadband noise; dyadic filter bank; empirical mode decomposition; extracted mode; filter bank; fractional Gaussian noise; frequency modulation component; nonstationary signal; wavelet decomposition; zero-mean amplitude modulation; 1f noise; Amplitude modulation; Filter bank; Filtering; Frequency modulation; Gaussian noise; Helium; Signal analysis; Signal processing; Stochastic resonance;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2003.821662