Estimation theory and atmospheric data assimilation

Geophysical Monograph Series

Volumn 114, Issue , 1999, Pages 49-65

  Todling, Ricardo ^a  

^a NASA GODDARD SPACE FLIGHT CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85040244798     PISSN: 00658448     EISSN: 23288779     Source Type: Book Series    
DOI: 10.1029/GM114p0049     Document Type: Chapter

References (35)

1. Anderson, B.D.O., & J.B. Moore, Optimal Filtering. Prentice Hall, 357 pp., 1979.
2. Antoulas, A.C. (Ed.), Mathematical System Theory. The Influence of R.E. Kalman. Springer-Verlag, 605 pp., 1991.
3. Bennett, A.F, Lecture Notes: 1997 Summer School on Inverse Methods and Data Assimilation, Oregon State University, 244 pp., 1997.
4. Bennett, A.F, Inverse Methods in Physical Oceanography. Cambridge University Press., 346 pp., 1992.
5. Butkov, E., Mathematical Physics. Addison-Wesley Publishing Co., 725 pp., 1968.
6. Cohn, S.E., An introduction to estimation theory. M. Ghil, K. Ide, A. Bennett, P. Courtier, M. Kimoto, N. Nagata, & N. Sato (Eds.): Data Assimilation in Meteorology and Oceanography: Theory and Practice, Universal Academic Press, 147-178, 1997.
7. Cohn, S.E., N.S. Sivakumaran, and R. Todling, A fixedlag Kalman smoother for retrospective data assimilation. Mon. Wea. Rev., 122, 2838-2867, 1994.
8. Courtier, P., Variational methods. M. Ghil, K. Ide, A. Bennett, P. Courtier, M. Kimoto, N. Nagata, & N. Sato (Eds.): Data Assimilation in Meteorology and Oceanography: Theory and Practice, Universal Academic Press, 211-218, 1997.
9. Daley, R., Atmospheric Data Analysis. Cambridge University Press, 457 pp., 1991.
10. Dee, D.P., On-line estimation of error covariance parameters for atmospheric data assimilation. Mon. Wea. Rev., 123, 1128-114, 1995.
11. Enting, I. G., Green’s Function Methods of Tracer Inversion, this volume, 1999, American Geophysical Union.
12. Gajić, Z., & M. Qureshi, Lyapunov Matrix Equation in System Stability and Control, Academic Press, 255 pp., 1995.
13. Gauss, K.F., Theory of the Motion of the Heavenly Bodies Movmg about the Sun in Conic Sections. Dover Publications, 326 pp., 1963.
14. Gelb, A. (Ed.), Applied Optimal Estimation. MIT Press, 374 pp., 1974.
15. Ghil, M., & P. Malanotte-Rizzoli, Data assimilation in meteorology and oceanography. Advances in Geophysics, 33, 141-266, 1991.
16. nd ed. The Johns Hopkins University Press, 642 pp., 1989.
17. Ide, K, P. Courtier, M. Ghil, and A. Lorenc, Unified notation for data assimilation: operational, sequential and variational. M. Ghil, K. Ide, A. Bennett, P. Courtier, M. Kimoto, N. Nagata, & N. Sato (Eds.): Data Assimilation m Meteorology and Oceanography: Theory and Practice, Universal Academic Press, 181-189, 1997.
18. Jazwinski, A.H., Stochastic Processes and Filtering Theory. Academic Press, 376 pp., 1970.
19. Kailath, T., A view of three decades of linear filtering theory. IEEE Trans. Inform. Theory, 20, 146-181, 1974.
20. Kalman, R.E., A new approach to linear filtering and prediction problems. Trans. ASME, Ser. D, J. Basic. Eng., 82, 35-45, 1960a.
21. Kalman, R.E., Contributions to the theory of optimal control. Bol. Soc. Mat. Mexicana, 5, 102-119, 1960b.
22. Kalman, R.E., & R.S. Bucy, New Results in Linear Filtering and Prediction Theory. Trans. ASME, Ser. D, J. Basic. Eng., 83, 95-108, 1961.
23. Lewis, F.L., Optimal Estimation with an Introduction to Stochastic Control Theory. John Wiley & Sons, 376 pp., 1986.
24. Maybeck, P.S., Stochastic Models, Estimation, and Control, Vol. 1. Academic Press, 423 pp., 1979.
25. Meditch, J.S., Stochastic Linear Estimation and Control. McGraw-Hill Book Co., 394 pp., 1969.
26. Ménard, R., 1999: Tracer assimilation, this volume, 1999 American Geophysical Union.
27. Miller, R. N., Theory and Practice of Data Assimilation for Oceanography. Rep. Meteorol. Oceanogr., No. 26. Harvard University. McGraw-Hill Book Co., 394 pp., 1987.
28. Prinn, R., Measurement Equation for Trace Chemicals in Fluids and Solution of Its Inverse, this volume, 1999, American Geophysical Union.
29. Sage, A.P., & J.L. Melsa, Estimation Theory with Applications to Communications and Control. McGraw-Hill Book Co., 529 pp., 1970.
30. Tarantola, A., Inverse Problem Theory: Methods for Data Fitting and Model Parameter Estimation. Elsevier, 613 pp., 1994.
31. Todling, R., Estimation theory and foundations of atmospheric data assimilation. NASA/DAO Office Notes, 183 pp., 1998.
32. Todling, R., & S.E. Cohn, Suboptimal schemes for atmospheric data assimilation based on the Kalman filter. Mon. Wea. Rev., 122, 2530-255, 1994.
33. Todling, R., & S.E. Cohn, Some strategies for Kalman filtering and smoothing. Proc. ECMWF Seminar on data assimilation, 91-111, 1996.
34. Todling, R., S.E. Cohn, and N.S. Sivakumaran, Suboptimal schemes for retrospective data assimilation based on the fixed-lag Kalman smoother. Mon. Wea. Rev., 126, 2274-2286, 1998.
35. Wunsch, C., The Ocean Circulation Inverse Problem. Cambridge University Press, 442 pp., 1996.