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Proceedings Paper

Cramér-RAO lower bounds for sinusoidal models from Topex/Poseidon data in the Indian Ocean
Author(s): M. Arias Ballesteros; C. Medina; J. J. Alonso del Rosario; P. Villares-Durán; J. Gómez-Enri; M. Catalán Pérez-Urquiola; I. Labrador Costero
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Paper Abstract

The Cramer-Rao lower bound (CRLB) for the estimations of the cosine and sine amplitudes of multi-tone sinusoidal model is derived and applied on TOPEX/Poseidon satellite altimetry data sets covering the Indian Ocean. The CRLB depends on the variance of the White Gaussian Noise that it is computed by Modern Parametric Autoregressive Adaptative Spectral Analysis. Determining CRLB parameters it is possible to establish the minimal error associated to any model built to work in the study area what improves the intrinsic bias of the generated time series. The noise that appears in the altimetric data depends strongly on the errors from the atmospheric and geophysical corrections, so the role of the inverted barometer and tidal corrections are also analyzed. The results is summarized as: a) the spatial structure of the order of the parametric model considering the application or not of the above corrections and its relationship to the surface dynamical system of currents in Indian Ocean; b) the spatial structure of the variance of the WGN in the area and its meaning; c) the CRLB for the Geoid's estimators and the CRLB for the estimators of the semiannual and annual waves.

Paper Details

Date Published: 8 October 2007
PDF: 12 pages
Proc. SPIE 6743, Remote Sensing of the Ocean, Sea Ice, and Large Water Regions 2007, 674305 (8 October 2007); doi: 10.1117/12.737762
Show Author Affiliations
M. Arias Ballesteros, Univ. de Cádiz (Spain)
C. Medina, Univ. de Cádiz (Spain)
J. J. Alonso del Rosario, Univ. de Cádiz (Spain)
P. Villares-Durán, Univ. de Cádiz (Spain)
J. Gómez-Enri, Univ. de Cádiz (Spain)
M. Catalán Pérez-Urquiola, Univ. de Cádiz (Spain)
I. Labrador Costero, Univ. de Cádiz (Spain)

Published in SPIE Proceedings Vol. 6743:
Remote Sensing of the Ocean, Sea Ice, and Large Water Regions 2007
Charles R. Bostater; Stelios P. Mertikas; Xavier Neyt; Miguel Vélez-Reyes, Editor(s)

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