Rotation Invariant Complex Empirical Mode Decomposition

A new method to extend the empirical mode decomposition (EMD) into the complex domain is proposed. Unlike the existing method for EMD in the complex domain, this is achieved in a generic way so that the mathematical development of this method mirrors the algorithm defined for EMD in the real domain....

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Bibliographic Details
Main Authors: Bin Altaf, M. Umair, Gautama, Temujin, Tanaka, Toshihisa, Mandic, Danilo P.
Format: Conference Proceeding
Language:English
Subjects:
Agricultural engineering
Data analysis
Educational institutions
Empirical Mode Decomposition
Estimation
Fourier transforms
Frequency conversion
Signal analysis
Signal mapping
Signal Modality Characterization
Signal processing algorithms
Signal resolution
Time domain analysis
Wavelet analysis
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Description
Summary:A new method to extend the empirical mode decomposition (EMD) into the complex domain is proposed. Unlike the existing method for EMD in the complex domain, this is achieved in a generic way so that the mathematical development of this method mirrors the algorithm defined for EMD in the real domain. The so derived intrinsic mode functions (IMFs) are complex by design and are shown to provide a consistent framework for handling both real and complex data. The simulations on real world complex-valued signals illustrate the applications of the technique.
ISSN:1520-6149
2379-190X
DOI:10.1109/ICASSP.2007.366853