A time-frequency application with the Stokes-Woodward technique

Type Article
Date 2003-11
Language English
Author(s) Elfouhaily Tanos, Guignard S, Branger H, Thompson D, Chapron Bertrand, Vandemark D, Elfouhaily Tanos, Guignard S, Branger H, Thompson D, Chapron Bertrand, Vandemark D
Affiliation(s) CNRS, Inst Rech Phenomenes Hors Equilibre, F-13384 Marseille, France.
Johns Hopkins Univ, Appl Phys Lab, Laurel, MD 20723 USA.
IFREMER, Dept Oceanog Spatiale, F-92138 Issy Les Moulineaux, France.
Univ New Hampshire, OPAL, Durham, NH 03824 USA.
Source IEEE Transactions on Geoscience and Remote Sensing (0196-2892) (IEEE), 2003-11 , Vol. 41 , N. 11 , P. 2670-2673
DOI 10.1109/TGRS.2003.817202
Keyword(s) Wind waves, Wave wave interaction, Vertical asymmetry, Time frequency distributions, Nonlinear hydrodynamic processes, Mode coupling, Instantaneous frequency, Instantaneous amplitude, Horizontal asymmetry, AM FM, Amplitude modulation frequency modulation
Abstract In a recent paper, we have generalized Woodward's theorem and applied it to the case of random signals jointly modulated in amplitude and frequency. This generalization yields a new spectral technique to estimate the amount of energy due to mode coupling without calling for higher order statistics. Two power spectra are detected; the first is related to the independent modes, and the second contains extra energy caused by mode coupling. This detection is now extended from frequency to time-frequency domain. A comparison between a wavelet transform and our time-frequency technique shows good agreement along with new insight into the time occurrence of the nonlinearities or mode coupling. An application to water surface waves is given in this letter as an example.
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Elfouhaily Tanos, Guignard S, Branger H, Thompson D, Chapron Bertrand, Vandemark D, Elfouhaily Tanos, Guignard S, Branger H, Thompson D, Chapron Bertrand, Vandemark D (2003). A time-frequency application with the Stokes-Woodward technique. IEEE Transactions on Geoscience and Remote Sensing, 41(11), 2670-2673. Publisher's official version : https://doi.org/10.1109/TGRS.2003.817202 , Open Access version : https://archimer.ifremer.fr/doc/00000/744/