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Wavelet ridge diagnosis of time-varying elliptical signals with application to an oceanic eddy
- Source :
- Nonlinear Processes in Geophysics, Vol 13, Iss 5, Pp 467-483 (2006), Nonlinear Processes in Geophysics, Nonlinear Processes in Geophysics, 2006, 13 (5), pp.467-483. ⟨10.5194/npg-13-467-2006⟩, Nonlinear Processes in Geophysics, European Geosciences Union (EGU), 2006, 13 (5), pp.467-483. ⟨10.5194/npg-13-467-2006⟩
- Publication Year :
- 2006
- Publisher :
- Copernicus Publications, 2006.
-
Abstract
- 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.
- Subjects :
- 010504 meteorology & atmospheric sciences
[SDU.STU]Sciences of the Universe [physics]/Earth Sciences
[PHYS.PHYS.PHYS-GEO-PH]Physics [physics]/Physics [physics]/Geophysics [physics.geo-ph]
02 engineering and technology
Ellipse
01 natural sciences
Instantaneous phase
[PHYS.ASTR.CO]Physics [physics]/Astrophysics [astro-ph]/Cosmology and Extra-Galactic Astrophysics [astro-ph.CO]
Wavelet
Control theory
Position (vector)
0202 electrical engineering, electronic engineering, information engineering
Elliptic integral
lcsh:Science
0105 earth and related environmental sciences
Mathematics
Series (mathematics)
[SDU.ASTR]Sciences of the Universe [physics]/Astrophysics [astro-ph]
Mathematical analysis
lcsh:QC801-809
020206 networking & telecommunications
Ridge (differential geometry)
lcsh:QC1-999
lcsh:Geophysics. Cosmic physics
Orbital motion
lcsh:Q
lcsh:Physics
Subjects
Details
- Language :
- English
- ISSN :
- 16077946 and 10235809
- Volume :
- 13
- Issue :
- 5
- Database :
- OpenAIRE
- Journal :
- Nonlinear Processes in Geophysics
- Accession number :
- edsair.doi.dedup.....bdad7cf089954b4cec09523bdc642fae