Title :
Complex Empirical Mode Decomposition
Author :
Tanaka, Toshihisa ; Mandic, Danilo P.
Abstract :
A method for the empirical mode decomposition (EMD) of complex-valued data is proposed. This is achieved based on the filter bank interpretation of the EMD mapping and by making use of the relationship between the positive and negative frequency component of the Fourier spectrum. The so-generated intrinsic mode functions (IMFs) are complex-valued, which facilitates the extension of the standard EMD to the complex domain. The analysis is supported by simulations on both synthetic and real-world complex-valued signals
Keywords :
Fourier analysis; channel bank filters; EMD mapping; Fourier spectrum; IMF; complex-valued data; empirical mode decomposition; filter bank interpretation; intrinsic mode function; negative frequency component; positive frequency component; Agricultural engineering; Analytical models; Filter bank; Helium; Oceans; Radar signal processing; Signal analysis; Signal processing; Signal resolution; Time frequency analysis; Complex-valued signals; empirical mode decomposition (EMD); nonlinear signal analysis; time-frequency analysis;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2006.882107