The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
Citations
95 citations
Cites background or methods from "The empirical mode decomposition an..."
...Empirical mode decomposition (EMD) is a single-channel technique, first proposed in 1998 [35], for nonlinear and...
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...An IMF is a function that satisfies two following conditions [35]: (1) The number...
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...To calculate an IMF from a time series signal x, a sifting process is implemented [35]....
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95 citations
95 citations
95 citations
Cites methods from "The empirical mode decomposition an..."
...Empirical Mode Decomposition (EMD) has been recently pioneered by Huang et al. [1, 2] for adaptively decomposing nonstationary and/or nonlinear time series....
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94 citations
Cites background or methods from "The empirical mode decomposition an..."
...Since the original EMD paper [8] appeared, there have been extensive research and application of this technique to 1-D signal processing because of the superior quality of EMD for nonstationary signals....
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...Huang et al. [8] have also proposed an algorithm called “sifting” to extract IMFs from the original signal as follows: where are IMFs and monotonic function is the residue....
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...D EMD boundary processing mainly include three classes: 1) the method adopted by Huang [8] which Manuscript received May 12, 2004; revised July 5, 2004....
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...[8] for the processing of nonstationary functions....
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...[8] have also proposed an algorithm called “sifting” to extract IMFs from the original signal as...
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References
16,554 citations
"The empirical mode decomposition an..." refers background in this paper
...(ii) Lorenz equation The famous Lorenz equation (Lorenz 1963) was proposed initially to study deterministic non-periodic flow....
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8,808 citations
6,693 citations
"The empirical mode decomposition an..." refers background in this paper
...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
"The empirical mode decomposition an..." refers methods in this paper
...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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5,806 citations
"The empirical mode decomposition an..." refers background in this paper
...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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