The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
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Cites background or methods from "The empirical mode decomposition an..."
...Despite the limited mathematical understanding and some obvious shortcomings, the EMDmethod has had significant impact and is widely used in a broad variety of time-frequency analysis applications....
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...Index Terms—AM-FM, augmented Lagrangian, Fourier transform, Hilbert transform, mode decomposition, spectral decomposition, variational problem, Wiener filter....
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2,304 citations
1,945 citations
Cites background or methods from "The empirical mode decomposition an..."
...As discussed in Huang et al (1998a), such a definition gives only a global averaged meaning to the energy and time scales....
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...(7) The procedure is illustrated in Huang et al (1998a)....
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...We will introduce the whole process by starting from the Hilbert transform....
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...31 :4 by C A L IF O R N IA I N ST IT U T E P1: KKK/NBL/spd/mbg P2: NBL/ARY QC: NBL/kba T1: NBL November 24, 1998 12:47 Annual Reviews AR075-12...
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...A degree of statistical stationarity is also defined by Huang et al (1998a)....
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1,774 citations
References
62 citations
"The empirical mode decomposition an..." refers background or methods in this paper
...Because of the importance of the equatorial region in determining the global climate pattern, the altimeter data have been used extensively to study the dynamics of this area (Miller et al. 1988; Miller & Cheney 1990; Zheng et al. 1994, 1995)....
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...Such continuous available data now are derived from both crossover and collinear differences (Miller & Cheney 1990), covering the period from April 1985 Proc....
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37 citations
"The empirical mode decomposition an..." refers background in this paper
...Limited applications have also been made to the time–frequency distribution in time series (see, for example, Farge 1992; Long et al. 1993) and two-dimensional images (Spedding et al. 1993)....
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...Limited applications have also been made to the time{frequency distribution in time series (see, for example, Farge 1992; Long et al. 1993) and two-dimensional images ( Spedding et al. 1993 )....
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33 citations
21 citations
"The empirical mode decomposition an..." refers background or methods in this paper
...Limited applications have also been made to the time–frequency distribution in time series (see, for example, Farge 1992; Long et al. 1993) and two-dimensional images (Spedding et al. 1993)....
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...Contrary to almost all the previous methods, this new method is intuitive, direct, a posteriori and adaptive, with the basis of the decomposition based on, and derived from, the data....
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20 citations
"The empirical mode decomposition an..." refers background or methods in this paper
...The dynamics of the equatorial Kelvin waves have been discussed extensively by Zheng et al. (1995). They concluded that steady wind cannot excite sustained Kelvin waves, but the variable wind, especially the westerly wind burst, can cause resonant interactions of the excited Kelvin waves with an intrinsic frequency of (1....
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...Because of the importance of the equatorial region in determining the global climate pattern, the altimeter data have been used extensively to study the dynamics of this area (Miller et al. 1988; Miller & Cheney 1990; Zheng et al. 1994, 1995)....
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