Local Least Squares Spectral Filtering and Combination by Harmonic Functions on the Sphere
نویسندگان
چکیده
منابع مشابه
Local Least Squares Spectral Filtering and Combination by Harmonic Functions on the Sphere
Least squares spectral combination is a well-known technique in physical geodesy. The established technique either suffers from the assumption of no correlations of errors between degrees or from a global optimisation of the variance or mean square error of the estimator. Today Earth gravitational models are available together with their full covariance matrices to rather high degrees, extra in...
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We introduce moving least squares approximation as an approximation scheme on the sphere. We prove error estimates and approximation orders. Finally, we show certain numerical results. x1. Introduction Recently, approximation on the sphere has become important because of its obvious applications to Meteorology, Oceanography and Geoscience and Geo-engineering in general. Over the last years seve...
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A general estimation model is defined in which two observations are available; one being a noisy version of the transmitted signal, while the other is a noisy-filtered and delayed version of the same transmitted signal. The delay and the filter are unknown quantities that must be estimated. An adaptive system, based on the least squares (LS) estimation criterion, is proposed in order to perform...
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Many methods using ensemble integrations of prediction models as integral parts of data assimilation have appeared in the atmospheric and oceanic literature. In general, these methods have been derived from the Kalman filter and have been known as ensemble Kalman filters. A more general class of methods including these ensemble Kalman filter methods is derived starting from the nonlinear filter...
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ژورنال
عنوان ژورنال: Journal of Geodetic Science
سال: 2011
ISSN: 2081-9943,2081-9919
DOI: 10.2478/v10156-011-0015-x