The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
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...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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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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References
15 citations
"The empirical mode decomposition an..." refers methods in this paper
...An extension of this method has been made by Yen (1994), who used the Wigner–Ville distribution to define wave packets that reduce Proc....
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...An extension of this method has been made by Yen (1994) , who used the Wigner{Ville distribution to dene wave packets that reduce...
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14 citations
"The empirical mode decomposition an..." refers background in this paper
...Hadley et al. (1991) studied such a case and attributed the peakiness to soil-induced amplification of the ground motion....
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...The new Hilbert spectral analysis has clearly identified the new oscillation mode similar to the case studied by Hadley et al. (1991) but from a different cause....
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13 citations
10 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)....
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...The accepted view of the equatorial dynamics is the propagation of Kelvin waves forced by variable wind stress (Byod 1980; Zheng et al. 1995)....
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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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10 citations
"The empirical mode decomposition an..." refers methods in this paper
...(iv) Altimeter data from the equatorial ocean Satellite altimetry has been a powerful technique for large scale ocean circulation studies (Huang et al. 1978; Robinson et al. 1983)....
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