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

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Lilly, J. M.; Gascard, Jean-Claude;
  • Publisher: Copernicus Publications
  • Journal: Nonlinear Processes in Geophysics (issn: 1023-5809, eissn: 1607-7946)
  • Publisher copyright policies & self-archiving
  • Related identifiers: doi: 10.5194/npg-13-467-2006
  • Subject: [SDU.STU]Sciences of the Universe [physics]/Earth Sciences | [PHYS.ASTR.CO]Physics [physics]/Astrophysics [astro-ph]/Cosmology and Extra-Galactic Astrophysics [astro-ph.CO] | [ PHYS.ASTR.CO ] Physics [physics]/Astrophysics [astro-ph]/Cosmology and Extra-Galactic Astrophysics [astro-ph.CO] | [ PHYS.PHYS.PHYS-GEO-PH ] Physics [physics]/Physics [physics]/Geophysics [physics.geo-ph] | [PHYS.PHYS.PHYS-GEO-PH]Physics [physics]/Physics [physics]/Geophysics [physics.geo-ph] | QC801-809 | [ SDU.ASTR ] Sciences of the Universe [physics]/Astrophysics [astro-ph] | Geophysics. Cosmic physics | Q | [ SDU.STU ] Sciences of the Universe [physics]/Earth Sciences | Science | Physics | [SDU.ASTR]Sciences of the Universe [physics]/Astrophysics [astro-ph] | QC1-999

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 tha... View more
  • References (14)
    14 references, page 1 of 2

    Boashash, B.: Estimating and interpreting the instantaneous frequency of a signal - Part 1: Fundamentals, Proc. IEEE, 80, 520- 538, 1992.

    Delprat, N., Escudie´, B., Guillemain, P., Kronland-Martinet, R., Tchamitchian, P., and Torre´sami, B.: Asymptotic wavelet and Gabor analysis: extraction of instantaneous frequencies, IEEE Trans. Inform. Theory, 38, 644-665, 1992.

    Dwight, H. B.: Tables of integrals and other mathematical data, Macmillian Publishing Co., Inc., New York, fourth edition, 1961.

    Gonella, J.: A rotary-component method for analyzing meteorological and oceanographic vector time series, Deep-Sea Res., 19, 833-846, 1972.

    Lankhorst, M. and Zenk, W.: Lagrangian observations of the middepth and deep velocity fields of the northeastern Atlantic Ocean, J. Phys. Oceanogr., 36, 43-63, 2006.

    Lapeyre, G., Hua, B. L., and Klein, P.: Dynamics of the orientation of active and passive scalars in two-dimensional turbulence, Phys. Fluids, 13, 251-264, 2001.

    Mallat, S.: A wavelet tour of signal processing, Academic Press, San Diego, 1999.

    McWilliams, J. C.: The emergence of isolated coherent vortices in turbulent flow, J. Fluid Mech., 146, 21-43, 1984.

    McWilliams, J. C.: Submesoscale coherent vortices in the ocean, Rev. Geophys., 23, 165-182, 1985.

    Olhede, S. C. and Walden, A. T.: Generalized Morse wavelets, IEEE Trans. Signal Processing, 50, 2661-2670, 2002.

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