Geodesic
Analytical estimates of the accuracy of wind profile reconstruction from lidar scanning data
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 2, Tome 231 (2024), pp. 13-26

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We consider the problem of reconstructing three components of wind velocity from measurement data of the radial component along directions uniformly located on the surface of a vertical cone using the least squares method. Estimates are obtained for the maximum error in the reconstruction of each component of the wind speed vector and for the mean square errors in the asymptotic approximation. Estimates are obtained taking into account the completeness of measurement data.
Keywords: reconstruction accuracy, least squares method, wind profile, lidar scanning
Mots-clés : estimation 
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     author = {N. A. Baranov},
     title = {Analytical estimates of the accuracy of wind profile reconstruction from lidar scanning data},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {13--26},
     publisher = {mathdoc},
     volume = {231},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2024_231_a1/}
}
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N. A. Baranov. Analytical estimates of the accuracy of wind profile reconstruction from lidar scanning data. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 2, Tome 231 (2024), pp. 13-26. http://geodesic.mathdoc.fr/item/INTO_2024_231_a1/