The complex local mean decomposition

Authors:
Cheolsoo Park;David Looney;Marc M. Van Hulle;Danilo P. Mandic
Affiliations:
Department of Electrical and Electronic Engineering, Imperial College London, London SW7 2BT, UK;Department of Electrical and Electronic Engineering, Imperial College London, London SW7 2BT, UK;Laboratorium voor Neuro- en Psychofysiologie, K.U.Leuven, Campus Gasthuisberg, Herestraat 49, B-3000 Leuven, Belgium;Department of Electrical and Electronic Engineering, Imperial College London, London SW7 2BT, UK
Venue:
Neurocomputing
Year:
2011

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Abstract

The local mean decomposition (LMD) has been recently developed for the analysis of time series which have nonlinearity and nonstationarity. The smoothed local mean of the LMD surpasses the cubic spline method used by the empirical mode decomposition (EMD) to extract amplitude and frequency modulated components. To process complex-valued data, we propose complex LMD, a natural and generic extension to the complex domain of the original LMD algorithm. It is shown that complex LMD extracts the frequency modulated rotation and envelope components. Simulations on both artificial and real-world complex-valued signals support the analysis.