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| Titel |
Wavelet ridge diagnosis of time-varying elliptical signals with application to an oceanic eddy |
| VerfasserIn |
J. M. Lilly, J.-C. Gascard |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 13, no. 5 ; Nr. 13, no. 5 (2006-09-14), S.467-483 |
| Datensatznummer |
250011835
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| Publikation (Nr.) |
 copernicus.org/npg-13-467-2006.pdf |
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| Zusammenfassung |
| A method for diagnosing the physical properties of a time-varying
ellipse is presented. This essentially involves extending the notion
of instantaneous frequency to the bivariate case. New complications, and
possibilities, arise from the fact that there are several meaningful
forms in which a time-varying ellipse may be represented. A
perturbation analysis valid for the near-circular case clarifies these
issues. Diagnosis of the ellipse properties may then be performed
using wavelet ridge analysis, and slowly-varying changes in the
ellipse structure may be decoupled from the fast orbital motion
through the use of elliptic integrals, without the need for additional
explicit filtering. The theory is presented in parallel with an
application to a position time series of a drifting subsurface float
trapped in an oceanic eddy. |
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