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Zbl 1100.94006
Sharpley, Robert C.; Vatchev, Vesselin
Analysis of the intrinsic mode functions. (English)
[J] Constructive Approximation 24, No. 1, 17-47 (2006). ISSN 0176-4276; ISSN 1432-0940/e

Summary: The Empirical Mode Decomposition is a process for signals which produces Intrinsic Mode Functions from which instantaneous frequencies may be extracted by simple application of the Hilbert transform. The beauty of this method to generate redundant representations is in its simplicity and its effectiveness.\par Our study has two objectives: first, to provide an alternate characterization of the Intrinsic Mode components into which the signal is decomposed and, second, to better understand the resulting polar representations, specifically the ones which are produced by the Hilbert transform of these intrinsic modes.

MSC 2000:: *94A12 Signal theory
44A15 Special transforms
41A58 Series expansions
34B24 Sturm-Liouville theory
93B30 System identification

Keywords: empirical mode decomposition; Hilbert transform

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