Ocean Wave Data Analysis Using Hilbert Transform Techniques.

Abstract

A novel technique to determine the phase velocity of long-wavelength shoaling waves is investigated. Operationally, the technique consists of three steps. First, using the Hilbert transform of a time series, the phase of the analytic signal is determined. Second, the correlations of the phases of analytic signals between two points in space are calculated and an average time of travel of the wave fronts is obtained. Third, if directional spectra are available or can be determined from time series of large array of buoys, the angular information can be used to determine the true time of travel. The phase velocity is obtained by dividing the distance between buoys by the correlation time. Using the Hilbert transform approach, there is no explicit assumption of the relation between frequency and wavenumber of waves in the wave field, indicating that it may be applicable to arbitrary wave fields, both linear and nonlinear. Limitations of the approach are discussed.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1996
Accession Number
ADA329217

Entities

People

  • Moises N. Lopez

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Convolution Integrals
  • Cross Correlation
  • Data Analysis
  • Diffraction
  • Distortion
  • Electrical Engineering
  • Frequency
  • Measurement
  • Ocean Waves
  • Phase Distortion
  • Phase Velocity
  • Power Spectra
  • Pressure Gages
  • Spectra
  • Water Waves
  • Wave Propagation
  • Waves

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Combustion Dynamics and Shock Wave Physics.
  • Phased Array Antenna Design.

Technology Areas

  • Space