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On the use of tricoherent analysis to detect non-linear wave-wave interactions

Abstract : For the description of non-linear effects in dispersive media, the approach of three- and four-wave interactions may be used. Higher-order spectral analysis is required for identifying interacting waves in random signals. The bicoherence spectrum, which is the normalized cumulant spectrum of the third order, has been applied to numerous studies for analysing three-wave interactions in numerical, laboratory and natural experiments. Here, we develop the Incoherence spectrum to detect four-wave interactions, calculate statistical properties of the trispectrum and tricoherence estimators as well as the confidence interval for the latter, and present results of numerical estimations of the tricoherence using synthetic signals.
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https://hal-insu.archives-ouvertes.fr/insu-02612298
Contributor : Nathalie Pothier <>
Submitted on : Tuesday, May 19, 2020 - 8:48:39 AM
Last modification on : Wednesday, May 20, 2020 - 1:41:15 AM

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V. Kravtchenko-Berejnoi, François Lefeuvre, Vladimir Krasnosselskikh, Dominique Lagoutte. On the use of tricoherent analysis to detect non-linear wave-wave interactions. Signal Processing, Elsevier, 1995, 42 (3), pp.291-309. ⟨10.1016/0165-1684(94)00136-N⟩. ⟨insu-02612298⟩

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