We analyze the statistical structure of the data of remote sensing of the fields of surface temperature and the concentration of chlorophyll in the northwest part of the Black Sea with an aim to apply the method of optimal interpolation to the restoration of the maps of these fields according to the restricted amounts of data. We determine the scales of smoothing for the selection of the random components of the fields and estimate their difference from the statistical model uniform and isotropic over the space correlation coefficients. The functions of spectral densities are constructed along various sections and the best intervals of discretization of the fields required to perform the optimal interpolation with given accuracy are determined. It is shown that the construction of the maps of fields under the conditions of controlled accuracy of reconstruction of their values remains possible even if the amounts of the input satellite data are significantly decreased. We consider a procedure of evaluation of the best possible amounts of data required for the use of the method of optimal interpolation. Some examples of application of this procedure to the data of remote sensing of the fields of surface temperature and the concentration of chlorophyll are presented.
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Translated from Morskoi Gidrofizicheskii Zhurnal, No. 4, pp. 34–50, July–August, 2009.
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Pukhtyar, L.D., Stanichny, S.V. & Timchenko, I.E. Optimal interpolation of the data of remote sensing of the sea surface. Phys Oceanogr 19, 225–239 (2009). https://doi.org/10.1007/s11110-009-9049-3
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DOI: https://doi.org/10.1007/s11110-009-9049-3