Method for eliminating mode mixing of empirical mode decomposition based on the revised blind source separation

• Published in: Signal processing Vol. 92; no. 1; pp. 248 - 258
• Main Authors: Tang, Baoping, Dong, Shaojiang, Song, Tao
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 2012; Elsevier
• Subjects: Algorithms; Applied sciences; Blind source separation; Blinds; Channels; Decomposition; Detection, estimation, filtering, equalization, prediction; Empirical analysis; Empirical mode decomposition; Equivalence; Exact sciences and technology; Information, signal and communications theory; Mode mixing; Morphological filter; Noise; Phase space reconstruction; Separation; Signal and communications theory; Signal, noise; Telecommunications and information theory; Morphological filter; Mode mixing; Empirical mode decomposition; Blind source separation; Phase space reconstruction; Optimal filter; Independent component analysis; Decomposition method; Empirical method; Algorithm; Simulation; Signal processing; Phase space; Phase reconstruction; Fixed point
• ISSN: 0165-1684; 1872-7557
• DOI: 10.1016/j.sigpro.2011.07.013

Since mode mixing of empirical mode decomposition (EMD) is mainly caused by the intermittence and noise, we propose a novel method to eliminate mode mixing of EMD based on the revised blind source separation. To this aim, an optimal morphological filter is employed to eliminate the noise. As a result, the component of mode mixing caused by noise is suppressed. Furthermore, the de-noised signal is decomposed into different intrinsic mode function (IMF) components through the EMD algorithm. Since it is impossible to apply blind source separation to a single channel signal directly, the IMF component, which has mode mixing is chosen and reconstructed in the phase space. Following that, the equivalent hypothetical signals are obtained. Finally, an improved fixed-point algorithm based on independent component analysis (ICA) is introduced to separate the overlapping components. The analysis of simulation and practical application demonstrates that our proposed method can effectively tackle the mode mixing problem of EMD. The main steps of the proposed procedure for eliminating mode mixing of the empirical mode decomposition [Display omitted] . ► Use the morphological filter for noise removal. ► IMF component that has the problem of mode mixing was selected and reconstructed in the phase space. ► Fixed-point algorithm based on independent component analysis was improved by means of clustering evaluation. ► Revised fixed-point algorithm was used for extracting the different frequency components.