Spectral analysis of nonlinear water waves based on the Hilbert-Huang transformation

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Original languageGerman
Pages (from-to)22-27
Number of pages6
JournalJournal of Offshore Mechanics and Arctic Engineering
Volume124
Issue number1
Publication statusPublished - 2002

Abstract

The Hilbert-Huang transformation (HHT) is a new method for analyzing nonlinear and non-stationary data series. The central idea behind the HHT is the so-called empirical mode decomposition (EMD) that numerically decomposes a time-dependent signal into its own underlying characteristic modes. Applying the Hilbert transformation (HT) to each of these disintegrated intrinsic mode function (IMF) subsequently provides the Hilbert amplitude or energy spectrum-producing more accurate spectra and proposing in all probability entirely new physical insights of nonlinear and nonstationary processes. The present paper describes the application of the HHT concerning the spectral frequency analysis of nonlinear transient water waves. [DOI: 10.1115/1.1423911].

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Spectral analysis of nonlinear water waves based on the Hilbert-Huang transformation. / Schlurmann, T.
In: Journal of Offshore Mechanics and Arctic Engineering, Vol. 124, No. 1, 2002, p. 22-27.

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keywords = "Mathematical transformations, Spectrum analysis, Emperical mode decomposition (EMD), Water waves, mathematical analysis, spectral analysis, transient flow, water wave, nonlinear wave",
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N2 - The Hilbert-Huang transformation (HHT) is a new method for analyzing nonlinear and non-stationary data series. The central idea behind the HHT is the so-called empirical mode decomposition (EMD) that numerically decomposes a time-dependent signal into its own underlying characteristic modes. Applying the Hilbert transformation (HT) to each of these disintegrated intrinsic mode function (IMF) subsequently provides the Hilbert amplitude or energy spectrum-producing more accurate spectra and proposing in all probability entirely new physical insights of nonlinear and nonstationary processes. The present paper describes the application of the HHT concerning the spectral frequency analysis of nonlinear transient water waves. [DOI: 10.1115/1.1423911].

AB - The Hilbert-Huang transformation (HHT) is a new method for analyzing nonlinear and non-stationary data series. The central idea behind the HHT is the so-called empirical mode decomposition (EMD) that numerically decomposes a time-dependent signal into its own underlying characteristic modes. Applying the Hilbert transformation (HT) to each of these disintegrated intrinsic mode function (IMF) subsequently provides the Hilbert amplitude or energy spectrum-producing more accurate spectra and proposing in all probability entirely new physical insights of nonlinear and nonstationary processes. The present paper describes the application of the HHT concerning the spectral frequency analysis of nonlinear transient water waves. [DOI: 10.1115/1.1423911].

KW - Mathematical transformations

KW - Spectrum analysis

KW - Emperical mode decomposition (EMD)

KW - Water waves

KW - mathematical analysis

KW - spectral analysis

KW - transient flow

KW - water wave

KW - nonlinear wave

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JO - Journal of Offshore Mechanics and Arctic Engineering

JF - Journal of Offshore Mechanics and Arctic Engineering

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