The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
Citations
177 citations
Cites background or methods from "The empirical mode decomposition an..."
...EMD is a data-driven technique to decompose a signal, by means of an iterative process called the sifting algorithm, into a finite set of oscillatory components called IMFs [Huang et al. (1998)]....
[...]
...However, the EMD output is prone to mode-mixing which mainly occurs due to the overlapping of the IMF spectra [Huang et al. (1998)], and the aliasing caused by sub-Nyquist extrema sampling....
[...]
176 citations
176 citations
Cites background from "The empirical mode decomposition an..."
...6 Empirical mode decomposition (EMD), proposed by Huang and his co-authors in 1998, is an effective approach 7 for handling the nonlinear and non-stationary time series [13,14,15]....
[...]
176 citations
176 citations
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....
[...]
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)....
[...]
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…...
[...]
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....
[...]
...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)....
[...]