publication . Other literature type . Article . 2006

Wavelet ridge diagnosis of time-varying elliptical signals with application to an oceanic eddy

Lilly, J. M.; Gascard, Jean-Claude;
Open Access English
  • Published: 14 Sep 2006 Journal: Nonlinear Processes in Geophysics (issn: 1023-5809, eissn: 1607-7946, Copyright policy)
  • Publisher: European Geosciences Union (EGU)
Abstract
International audience; 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, witho...
Subjects
free text keywords: [SDU.STU]Sciences of the Universe [physics]/Earth Sciences, Geophysics. Cosmic physics, Q, [PHYS.ASTR.CO]Physics [physics]/Astrophysics [astro-ph]/Cosmology and Extra-Galactic Astrophysics [astro-ph.CO], Science, Physics, [SDU.ASTR]Sciences of the Universe [physics]/Astrophysics [astro-ph], QC1-999, [PHYS.PHYS.PHYS-GEO-PH]Physics [physics]/Physics [physics]/Geophysics [physics.geo-ph], QC801-809

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publication . Other literature type . Article . 2006

Wavelet ridge diagnosis of time-varying elliptical signals with application to an oceanic eddy

Lilly, J. M.; Gascard, Jean-Claude;