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Pré-Publication, Document De Travail Année : 2010

Analysis and separation of time-frequency components in signals with chaotic behavior

Résumé

The analysis of chaotic signals with time-frequency methods is considered. For this purpose, two new transformations are presented which consist in the decomposition of a signal onto an orthogonal set of respectively linear and hyperbolic chirps. The linear chirp transformation is able to discriminate and extract particular chaotic components in non-stationary square integrable signals. This is demonstrated in an example studying the reflectometry measures of a turbulent plasma. The hyperbolic chirp transformation is designed for the detection and extraction of chaotic parts in self-similar processes such as stochastic motions. Mathematical connections are made between these two methods and other well-known transformations.
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Dates et versions

hal-00460930 , version 1 (02-03-2010)
hal-00460930 , version 2 (19-03-2010)

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Benjamin Ricaud, Francoise Briolle, F. Clairet. Analysis and separation of time-frequency components in signals with chaotic behavior. 2010. ⟨hal-00460930v2⟩
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