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Riling G, Flandrin P. ¡°One or Two Frequencies? The Empirical Mode Decomposition Answers¡±, IEEE Trans. on Signal Processing, Vol.42, pp.1-11,2008
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his paper investigates how the empirical mode decomposition (EMD), a fully data-driven technique recently introduced for decomposing any oscillatory waveform into zero-mean components, behaves in the case of a composite two-tones signal. Essentially two regimes are shown to exist, depending on whether the amplitude ratio of the tones is greater or smaller than unity, and the corresponding resolution properties of the EMD turn out to be in good agreement with intuition and physical interpretation. A refined analysis is provided for quantifying the observed behaviors and theoretical claims are supported by numerical experiments. The analysis is then extended to a nonlinear model where the same two regimes are shown to exist and the resolution properties of the EMD are assessed.

Published in:
Signal Processing, IEEE Transactions on  (Volume:56 ,  Issue: 1 )
Date of Publication:
Jan. 2008
Page(s):
85 - 95
ISSN :
1053-587X
INSPEC Accession Number:
9742692
Digital Object Identifier :
10.1109/TSP.2007.906771
Date of Current Version :
18 Ê®¶þÔÂ 2007
Issue Date :
Jan. 2008
Sponsored by :
IEEE Signal Processing Society
Publisher:
IEEE
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