The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
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...Despite that, in the IMEn analysis the feature set is generated from a single process, i.e., EMD; hence, this could be advantageous when the focus is placed on the minimization of the computational burden and contributes to a fast realization of the IMEn analysis....
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...This presents increased robustness to the variability of local trends in biomedical signals [33], such as sEMG, and fosters the classification ability of IMEn analysis....
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...This paper stems from the work reported in [29] and explores the classification power of one feature, i.e., the sample entropy [32] combined with the empirical mode decomposition (EMD) [33], namely intrinsic-mode entropy (IMEn) [34], for the classification of 60 GSL signs, when applied to sEMG and 3-D-Acc data....
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...The latter allows the computation of the SampEn over the different EMD levels, enabling the evolution of the signal regularity....
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...If K is the total number of modes yielded by the EMD decomposition and the residual rK (t) is considered as the (K+1)th mode, then CK +1IMF corresponds to the original signal x(t)....
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References
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...(ii) Lorenz equation The famous Lorenz equation (Lorenz 1963) was proposed initially to study deterministic non-periodic flow....
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...A brief tutorial on the Hilbert transform with the emphasis on its physical interpretation can be found in Bendat & Piersol (1986)....
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5,910 citations
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...In order to obtain meaningful instantaneous frequency, restrictive conditions have to be imposed on the data as discussed by Gabor (1946), Bedrosian (1963) and, more recently, Boashash (1992): for any function to have a meaningful instantaneous frequency, the real part of its Fourier transform has…...
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...In general, if more quantitative results are desired, the original skeleton presentation is better; if more qualitative results are desired, the smoothed presentation is better....
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...Therefore, the parameter, ν, defined as N21 −N20 = 1 π2 m4m0 −m22 m2m0 = 1 π2 ν2, (3.7) offers a standard bandwidth measure (see, for example, Rice 1944a, b, 1945a, b; Longuet-Higgins 1957)....
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