A NEW VIEW OF NONLINEAR WATER WAVES: The Hilbert Spectrum-Reference-Cited by-同舟云学术

A NEW VIEW OF NONLINEAR WATER WAVES: The Hilbert Spectrum

Published:1999-01 Issue:1 Volume:31 Page:417-457
ISSN:0066-4189
Container-title:Annual Review of Fluid Mechanics
language:en
Short-container-title:Annu. Rev. Fluid Mech.

Author:

Huang Norden E.¹²³⁴⁵,Shen Zheng¹²³⁴⁵,Long Steven R.¹²³⁴⁵

Affiliation:

1. Division of Engineering Science, California Institute of Technology, Pasadena, California 91125.

2. On leave from Laboratory for Hydrospheric Processes, Oceans and Ice Branch, Code 971, NASA Goddard Space Flight Center, Greenbelt, Maryland 20771

3. Division of Engineering Science, California Institute of Technology, Pasadena, California 91125

4. Department of Civil Engineering, University of California at Irvine, Irvine, California 92697

5. Laboratory for Hydrospheric Processes, Observational Science Branch, Code 972, NASA GSFC, Wallops Flight Facility, Wallops Island, Virginia 23337;

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.

Publisher

Annual Reviews

Subject

Condensed Matter Physics

Link

https://www.annualreviews.org/doi/pdf/10.1146/annurev.fluid.31.1.417

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