Hilbert Spectra of Nonlinear Ocean Waves

Abstract

The Hilbert-Huang transform (HHT) analysis interprets wave nonlinearity in terms of frequency modulation instead of harmonic generation. The resulting spectrum contains much higher spectral energy at low frequency and sharper drop off at high frequency in comparison with the spectra derived from Fourier-based analysis methods. The high energy level in the low-frequency components of the Hilbert Spectrum seems to be consistent with the rich group structure apparent in typical ocean-wave records. For wind-generated waves the spectral level of the Fourier spectrum is about two orders of magnitude smaller than that of the Hilbert spectrum at the first subharmonic of the peak frequency. The mean frequency of the Fourier spectrum is 20% higher than that of the Hilbert spectrum. Furthermore, the frequency of the wave groups is also more likely to be properly identified in the engineering and air-sea interaction arc discussed.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 08, 2006
Accession Number
ADA448839

Entities

People

  • David Wei Chi Wang
  • James Kaihatu
  • Norden E. Huang
  • Paul Hwang

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Bandwidth
  • Carrier Frequencies
  • Data Analysis
  • Demographic Cohorts
  • Differential Equations
  • Energy
  • Energy Levels
  • Engineering
  • Frequency
  • Frequency Bands
  • Frequency Modulation
  • High Energy
  • Military Research
  • Modulation
  • Ocean Waves
  • Water Waves
  • Waves

Readers

  • Approximation Theory.
  • Spectroscopy.
  • Wave Propagation and Nonlinear Chaotic Dynamics.