Abstract
It is suggested that the algorithm of Kalman smoothing is used to analyse and process oceanographic data. Two methods of solving the Kalman smoothing problem are given: an iteration method and a precise method. Their advantages and disadvantages are considered, as well as different cases and conclusions.
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References
Sage, E. and Mels, J.An Estimation Theory and Its application in Communication and Control, Vol. 6. Moscow: Radio i Svyaz, (1976).
Omatu, S. Filtering, smoothing and prediction of distributed parameter systems: survey of rigorous approach.Distributed Parameter Control Systems. Oxford (1982), pp. 87–117.
Brison, A. and Ho, Yu. Shi.An Applied Theory of Optimum Control. Moscow: Mir (1972).
Bennet, A. F. and Budgell, W. P. The Kalman smoother for a linear quasi-geostrophic model of ocean circulation.Dyn. Atmos. Oceans (1989)13, 219–267.
Sage, E. and White, Ch. S.The Optimum Control of Systems. Moscow: Radio i Svyaz, (1982).
Courtier, P. and Talagrand, O. Variational assimilation of meteorological observations with the direct and adjoint shallow-water equations.Tellus (1990)42A, 531–549.
Gelfand, I. M. and Filin, S. V.Variational Calculus. Moscow: Fizmatgiz (1961).
Marchuk, G. I.A Numerical Solution of the Problems of the Dynamics of the Atmosphere and Ocean. Leningrad: Gidrometeoizdat (1974).
Penenko, V. V.Methods of Numerical Modelling of the Atmospheric Processes. Leningrad: Gidrometeoizdat (1981).
Trajestas, S. G. and Nightingale, J. M. Maximum-likelihood approach to the optimal filtering of distributed-parameter systems.Proc. Inst. Electr. Eng. (1968)115, 1207–1233.
Sarkisyan, A. S., Knysh, V. V., Demyshev, S. G., Moiseenko, V. A. and Obukhov, S. A. A multi-elementary four-dimensional analysis of hydrophysical fields based on dynamic-stochastic models (for the SECTIONS programme). In:Atmosphere, Ocean, Space — the SECTIONS Programme, Vol. 9. Moscow: VINITI (1989), pp. 5–64.
Knysh, V. V., Moiseenko, V. A. and Chernov, V. V. Some results of the four-dimensional analysis of hydrophysical fields in the tropical Atlantic Ocean.FAO (1988)24, 744–752.
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Translated by Mikhail M. Trufanov.
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Moiseenko, V.A., Saenko, O.A. The use of the Kalman smoothing algorithm for the analysis and processing of oceanographic data. Statement and methods of solution. Phys. Oceanogr. 5, 35–42 (1994). https://doi.org/10.1007/BF02197567
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DOI: https://doi.org/10.1007/BF02197567