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On an adaptive filter for altimetric data assimilation and its application to a primitive equation model, MICOM Cover

On an adaptive filter for altimetric data assimilation and its application to a primitive equation model, MICOM

Open Access
|Jan 2005

References

  1. Albert , R. 1972 . Regression and the Moore-Penrose pseudoinverse . Academic Press , New York .
  2. Amodei , L. 1995 . Approximate solution to a problem of meteorological data assimilation with model error. C. R. Acad. Sci., Paris , 321 , Series Ha , 1087 1094 ( in French ).
  3. Anderson , B. D. O. and Moore , J. B. 1979 . Optimal Filtering . Prentice-Hall, Englewood Cliffs , NJ .
  4. Baraille , R. and Filatoff , N. 1995 . Miami multilayer isopycnal shallow-water model . Research Report CMO, EPSHOM/CMO , Brest , France .
  5. Bennett , A. F. , Chua , S. and Leslie , L. M. 1997 . Generalized inversion of a Global Numerical Weather Prediction Model . MeteoroL Atmos. Phys . 60 , 165 178 .
  6. Bleck , R. 1998 . Ocean modeling in isopycnic coordinates. In: Ocean Modeling and Parameterization (eds E. P. Chassignet , and J. Verron ). NATO Science Series, Kluwer, Dordrecht , 423 - 448 .
  7. Bryan , K. 1969 . A numerical method for the study of the circulation of the word ocean . J. Comput. Phys . 4 , 347 376 .
  8. Chassignet , E. 1992 . Rings in numerical models of ocean general circulation: a statistical study . J. Geophys. Res . 97 , 9479 9492 .
  9. Cohn , S. and Todling , R. 1996 . Approximate data assimilation schemes for stable and unstable dynamics . J. MeteoroL Soc. Japan 74 ( 1 ), 63 75 .
  10. Cooper , M. and Haines , K. 1996 . Altimetric assimilation with water property conservation . J. Geophys. Res . 101 , 1059 1077 .
  11. Courtier , P. 1993 . Introduction to numerical weather prediction data as-similation methods. In: Proceedings of ECMWF workshop on development in the use of satellite data in numerical weather prediction, Shinfield Park, Reading, Berkshire, 180 - 207 .
  12. Dee , D. 1991 . Simplification of the Kalman filter for meteorological data assimilation . Q. J. R. MeteoroL Soc . 117 , 365 384 .
  13. De Mey , P. and Robinson , A. R. 1987 . Assimilation of altimeter eddy fields in a limited-area quasi-geostrophic model . J. Phys. Oceanogr . 17 , 2280 2293 .
  14. Evensen , E. 1994 . Sequential data assimilation with a non-linear quasi-geostrophic model using Monte Carlo methods to forecast error statistics . J. Geophys. Res. 99(C5) , 10 143–10 162 .
  15. Fukumori , I. and Malanotte-Rizzoli , P. 1995 . An approximate Kalman filter for ocean data assimilation: an example with an idealized Gulf Stream model . J. Geophys. Res . 100 ( C4 ), 6777 6793 .
  16. Fukumori , I. , Benveniste , J. , Wunsch , C. and Haivogel , D. 1993 . Assimilation of sea surface topography into an ocean circulation model using a steady-state smoother . J. Phys. Oceanogr 23 , 1831 1855 .
  17. Gavart , M. 2001 . Assimilation in a basin model and regional modelisation . Research Report CMO, EPSHOM/CMO , Brest , France .
  18. Gavart , M. and De Mey , P. 1997 . Isopycnal E0Fs in the Azores Current region: a statistical tool for dynamical analysis and data assimilation . J. Phys. Oceanogr 27 , 2146 2157 .
  19. Ghil , M. and Malanotte-Rizzoli , P. 1991 . Data assimilation in meteorology and oceanography. In:Advances in Geophysics , Vol. 33 . Academic Press , New York , 141 - 266 .
  20. Golub , G. H. and Van Loan , C. 1993 . Matrix Computation . Johns Hopkins Univ. Press .
  21. Haines , K. , Malanotte-Rizzoli , P. , Young , R. E. and Holland , W. R. 1993 . A comparison of two methods for the assimilation of altimeter data into a shallow water model . Dyn. Atmos. Oceans , 19 , 89 133 .
  22. Hoang , H. S. , Baraille , R. , Talagrand , O., De Mey , P. and Carton , X. 1997a. Adaptive filtering: application to satellite data assimilation in oceanography. J. Dyn. Atmos. Oceans 27 , 257 281.
  23. Hoang , H. S. , De Mey , P. , Talagrand , O. and Baraille , R. 1997b . A new reduced-order adaptive filter for state estimation in high dimensional systems . Automatica 33 , 1475 1498.
  24. Hoang , H. S. , Baraille , R. , Cohn , S. E. and Talagrand , O. 2000 . On stability of the partial singular value decomposition filter for stable and unstable dynamics. In: Proceedings of the International Conference on Mathematical Theory Networks and Systems (MTNS), June, Perpignan, France (available at http://www.univ-perp.fr/mtns2000/articles/13274.pdf).
  25. Hoang , H. S. , Baraille , R. and Talagrand , O. 2001 . On the design of a stable adaptive filter for high dimensional systems. Automatica 37 , 341 359.
  26. Jazwinslci , A. H. 1970 . Stochastic Processes and Filtering Theory . Academic Press , New York .
  27. Kailath , T. 1980 . Linear Systems . Prentice-Hall, Englewood Cliffs , NJ .
  28. Le Dimet , F.-X. and Talagrand , O. 1986 . Variational algorithm for analysis and assimilation of meteorological observations . Tellus 38A , 97 110 .
  29. Ljung , L. A. 1987 . System Identification . Prentice Hall, Englewood Cliffs , NJ .
  30. Mellor , G. L. and Ezer , T. 1991 . A Gulf stream model and an altimetry assimilation scheme . J. Geophys. Res . 96 ( C5 ), 8779 8795 .
  31. Pham , D. T. , Verron , J. and Roubaud , M. C. 1997 . Singular evolutive Kalman filter with EOF initialization for data assimilation in oceanography . J. Mar. Syst . 16 , 323 340 .
  32. Polyak , B. T. 1990 . New method of stochastic approximation type . Autom. Remote Contr 51 , 937 946 .
  33. Talagrand , O. and Courtier , P. 1987 . Variational assimilation of meteorological observations with the adjoint vorticity equation, I . Theory. Q. J. R. Meteorol Soc . 113 , 1311 1328 .
  34. Todling , R. and Cohn , S. 1994 . Suboptimal schemes for atmospheric data assimilation based on the Kalman filter . Mon. Wea. Rev . 122 , 2530 2557 .
  35. Tsypkin , Ya. 1971 . Adaptation and Learning in Automatic Systems . Academic Press , New York .
Language: English
Page range: 153 - 170
Submitted on: May 13, 2003
Accepted on: Aug 20, 2004
Published on: Jan 1, 2005
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 2005 H. S. Hoang, R. Baraille, O. Talagrand, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.