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A Flexible Method for Envelope Estimation in Empirical Mode Decomposition
Author(s) -
Yoshikazu Washizawa,
Toshihisa Tanaka,
Danilo P. Mandic,
Andrzej Cichocki
Publication year - 2006
Publication title -
lecture notes in computer science
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.249
H-Index - 400
eISSN - 1611-3349
pISSN - 0302-9743
ISBN - 3-540-46542-1
DOI - 10.1007/11893011_158
Subject(s) - hilbert–huang transform , envelope (radar) , computer science , mode (computer interface) , quadratic equation , algorithm , function (biology) , decomposition , spline (mechanical) , mathematical optimization , mathematics , computer vision , telecommunications , ecology , radar , geometry , structural engineering , evolutionary biology , engineering , biology , operating system , filter (signal processing)
A flexible and efficient method for finding the envelope within the empirical mode decomposition (EMD) is introduced. Unlike the existing (deterministic) spline based strategy, the proposed envelope is a result of an optimisation precess and sought as a minimum of a quadratic cost function. A closed form solution of this optimisation problem is obtained and it is shown that by choosing free parameters, we can fine-tune the frequency resolution or the number of intrinsic mode functions (IMFs) as well as the shape of the envelopes. Computer simulations on both the synthetic and real-world electro-encephalogram (EEG) data support the analysis.

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