Abstract
▪ Abstract We survey the newly developed Hilbert spectral analysis method and its applications to Stokes waves, nonlinear wave evolution processes, the spectral form of the random wave field, and turbulence. Our emphasis is on the inadequacy of presently available methods in nonlinear and nonstationary data analysis. Hilbert spectral analysis is here proposed as an alternative. This new method provides not only a more precise definition of particular events in time-frequency space than wavelet analysis, but also more physically meaningful interpretations of the underlying dynamic processes.
Keywords
Nonlinear systemRigged Hilbert spaceWaveletSpectral analysisSpectral spaceHilbert spectral analysisHilbert spaceStatistical physicsSpectrum (functional analysis)TurbulencePhysicsComputer scienceSpectral densityMathematical analysisHilbert transformMathematicsReproducing kernel Hilbert spaceMechanicsArtificial intelligenceTelecommunicationsQuantum mechanics
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Publication Info
- Year
- 1999
- Type
- article
- Volume
- 31
- Issue
- 1
- Pages
- 417-457
- Citations
- 2073
- Access
- Closed
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Cite This
Norden E. Huang,
Zhengwei Shen,
Steven Long
(1999).
A NEW VIEW OF NONLINEAR WATER WAVES: The Hilbert Spectrum.
Annual Review of Fluid Mechanics
, 31
(1)
, 417-457.
https://doi.org/10.1146/annurev.fluid.31.1.417
Identifiers
- DOI
- 10.1146/annurev.fluid.31.1.417