A new view of nonlinear water waves: The Hilbert spectrum

Norden E. Huang, Zheng Shen, Steven R. Long

Research output: Contribution to journalArticlepeer-review

2390 Scopus citations

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. Hubert 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.

Original languageEnglish
Pages (from-to)417-457
Number of pages41
JournalAnnual Review of Fluid Mechanics
Volume31
DOIs
StatePublished - 1999

Keywords

  • Empirical mode decomposition
  • Hilbert spectral analysis
  • Hilbert transform
  • Nonlinear process
  • Nonstationary

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