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Volumn 136, Issue 8, 2008, Pages 3035-3049

Sampling errors in ensemble kalman filtering. Part I: Theory

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL THEORY; COVARIANCE MATRIX; ERRORS; KALMAN FILTERS; MATRIX ALGEBRA; QUALITY CONTROL; SYSTEMATIC ERRORS; WAVE FILTERS;

EID: 53249135012     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/2007MWR2323.1     Document Type: Article
Times cited : (52)

References (34)
  • 1
    • 0035655814 scopus 로고    scopus 로고
    • An ensemble adjustment Kalman filter for data assimilation
    • Anderson, J. L., 2001: An ensemble adjustment Kalman filter for data assimilation. Mon. Wea. Rev., 129, 2884-2903.
    • (2001) Mon. Wea. Rev , vol.129 , pp. 2884-2903
    • Anderson, J.L.1
  • 2
    • 0033500692 scopus 로고    scopus 로고
    • A Monte Carlo implementation of the nonlinear filtering problem to produce ensemble assimilations and forecasts
    • Anderson, J. L., and S. L. Anderson, 1999: A Monte Carlo implementation of the nonlinear filtering problem to produce ensemble assimilations and forecasts. Mon. Wea. Rev., 127, 2741-2758.
    • (1999) Mon. Wea. Rev , vol.127 , pp. 2741-2758
    • Anderson, J.L.1    Anderson, S.L.2
  • 3
    • 0032439201 scopus 로고    scopus 로고
    • Analysis scheme in the ensemble Kalman filter
    • Burgers, G., P. J. van Leeuwen, and G. Evensen, 1998: Analysis scheme in the ensemble Kalman filter. Mon. Wea. Rev., 126, 1719-1724.
    • (1998) Mon. Wea. Rev , vol.126 , pp. 1719-1724
    • Burgers, G.1    van Leeuwen, P.J.2    Evensen, G.3
  • 4
    • 33645278639 scopus 로고    scopus 로고
    • Assimilation with an ensemble Kalman filter of synthetic radial wind data in anisotropic turbulence: Perfect model experiments
    • Charron, M., P. L. Houtekamer, and P. Bartello, 2006: Assimilation with an ensemble Kalman filter of synthetic radial wind data in anisotropic turbulence: Perfect model experiments. Mon. Wea. Rev., 134, 618-637.
    • (2006) Mon. Wea. Rev , vol.134 , pp. 618-637
    • Charron, M.1    Houtekamer, P.L.2    Bartello, P.3
  • 5
    • 0001482955 scopus 로고    scopus 로고
    • An introduction to estimation theory
    • Cohn, S., 1997: An introduction to estimation theory. J. Meteor. Soc. Japan, 75, 257-288.
    • (1997) J. Meteor. Soc. Japan , vol.75 , pp. 257-288
    • Cohn, S.1
  • 6
    • 53249151088 scopus 로고    scopus 로고
    • Corazza, M., E. Kalnay, D. J. Patil, E. Ott, J. Yorke, B. R. Hunt, I. Szunyogh, and M. Cai, 2002: Use of the breeding technique in the estimation of the background error covariance matrix for a quasi-geostrophic model. Preprints, Symp. on Observations, Data Assimilation and Probabilistic Prediction, Orlando, FL, Amer. Meteor. Soc., 6.4. [Available online at http://ams.confex.com/ams/pdfpapers/ 28755.pdf.]
    • Corazza, M., E. Kalnay, D. J. Patil, E. Ott, J. Yorke, B. R. Hunt, I. Szunyogh, and M. Cai, 2002: Use of the breeding technique in the estimation of the background error covariance matrix for a quasi-geostrophic model. Preprints, Symp. on Observations, Data Assimilation and Probabilistic Prediction, Orlando, FL, Amer. Meteor. Soc., 6.4. [Available online at http://ams.confex.com/ams/pdfpapers/ 28755.pdf.]
  • 8
    • 0001609731 scopus 로고
    • Stochastic dynamic prediction
    • Epstein, E., 1969: Stochastic dynamic prediction. Tellus, 21, 739-759.
    • (1969) Tellus , vol.21 , pp. 739-759
    • Epstein, E.1
  • 9
    • 0027047114 scopus 로고
    • Using the extended Kalman filter with a multilayer quasi-geostrophic ocean model
    • Evensen, G., 1992: Using the extended Kalman filter with a multilayer quasi-geostrophic ocean model. J. Geophys. Res., 97 (C11), 17 905-17 924.
    • (1992) J. Geophys. Res , vol.97 , Issue.C11
    • Evensen, G.1
  • 10
    • 0000601815 scopus 로고
    • Inverse methods and data assimilation in nonlinear ocean models
    • Evensen, G., 1994: Inverse methods and data assimilation in nonlinear ocean models. Physica D, 77,108-129.
    • (1994) Physica D , vol.77 , pp. 108-129
    • Evensen, G.1
  • 12
    • 0035663180 scopus 로고    scopus 로고
    • State estimation using a reduced-order kalman filter
    • Farrell, B., and P. Ioannou, 2001: State estimation using a reduced-order kalman filter. J. Atmos. Sci., 58, 3666-3680.
    • (2001) J. Atmos. Sci , vol.58 , pp. 3666-3680
    • Farrell, B.1    Ioannou, P.2
  • 13
    • 33750502680 scopus 로고    scopus 로고
    • Estimation of high-dimensional prior and posterior covariance matrices in Kalman filter variants
    • Furrer, R., and T. Bengtsson, 2007: Estimation of high-dimensional prior and posterior covariance matrices in Kalman filter variants. J. Multivariate Anal., 98, 227-255.
    • (2007) J. Multivariate Anal , vol.98 , pp. 227-255
    • Furrer, R.1    Bengtsson, T.2
  • 15
    • 52149112170 scopus 로고    scopus 로고
    • The reduced rank transform square root filter for data assimilation
    • Newcastle, Australia, Int. Federation on Automatic Control, FrB2.5
    • Gillijns, S., D. S. Bernstein, and B. D. Moor, 2005: The reduced rank transform square root filter for data assimilation. Proc. 14th IFAC Symp. on System Identification (SYSID-2006), Newcastle, Australia, Int. Federation on Automatic Control, FrB2.5.
    • (2005) Proc. 14th IFAC Symp. on System Identification (SYSID-2006)
    • Gillijns, S.1    Bernstein, D.S.2    Moor, B.D.3
  • 16
    • 0033792589 scopus 로고    scopus 로고
    • A hybrid ensemble Kalman filter-3D variational analysis scheme
    • Hamill, T. M., and C. Snyder, 2000: A hybrid ensemble Kalman filter-3D variational analysis scheme. Mon. Wea. Rev., 128, 2905-2919.
    • (2000) Mon. Wea. Rev , vol.128 , pp. 2905-2919
    • Hamill, T.M.1    Snyder, C.2
  • 17
    • 0035506430 scopus 로고    scopus 로고
    • Distance-dependent filtering of background error covariance estimates in an ensemble Kalman filter
    • Hamill, T. M., J. S. Whitaker, and C. Snyder, 2001: Distance-dependent filtering of background error covariance estimates in an ensemble Kalman filter. Mon. Wea. Rev., 129, 2776-2790.
    • (2001) Mon. Wea. Rev , vol.129 , pp. 2776-2790
    • Hamill, T.M.1    Whitaker, J.S.2    Snyder, C.3
  • 18
    • 0034277327 scopus 로고    scopus 로고
    • The role of operational constraints in selecting supplementary observations
    • Hansen, J. A., and L. A. Smith, 2000: The role of operational constraints in selecting supplementary observations. J. Atmos. Sci., 57, 2859-2871.
    • (2000) J. Atmos. Sci , vol.57 , pp. 2859-2871
    • Hansen, J.A.1    Smith, L.A.2
  • 19
    • 0032024819 scopus 로고    scopus 로고
    • Data assimilation using an ensemble Kalman filter technique
    • Houtekamer, P. L., and H. L. Mitchell, 1998: Data assimilation using an ensemble Kalman filter technique. Mon. Wea. Rev., 126, 796-811
    • (1998) Mon. Wea. Rev , vol.126 , pp. 796-811
    • Houtekamer, P.L.1    Mitchell, H.L.2
  • 21
    • 0035129828 scopus 로고    scopus 로고
    • A sequential ensemble Kalman filter for atmospheric data assimilation
    • Houtekamer, P. L., and H. L. Mitchell, 2001: A sequential ensemble Kalman filter for atmospheric data assimilation. Mon. Wea. Rev., 129, 123-137.
    • (2001) Mon. Wea. Rev , vol.129 , pp. 123-137
    • Houtekamer, P.L.1    Mitchell, H.L.2
  • 23
    • 0033912092 scopus 로고    scopus 로고
    • Data assimilation into a primitive-equation model with a parallel ensemble Kalman filter
    • Keppenne, C., 2000: Data assimilation into a primitive-equation model with a parallel ensemble Kalman filter. Mon. Wea. Rev., 128, 1971-1981.
    • (2000) Mon. Wea. Rev , vol.128 , pp. 1971-1981
    • Keppenne, C.1
  • 24
    • 4444303259 scopus 로고    scopus 로고
    • Implications of stochastic and deterministic filters as ensemble-based data assimilation methods in varying regimes of error growth
    • Lawson, W. G., and J. A. Hansen, 2004: Implications of stochastic and deterministic filters as ensemble-based data assimilation methods in varying regimes of error growth. Mon Wea. Rev., 132, 1966-1981.
    • (2004) Mon Wea. Rev , vol.132 , pp. 1966-1981
    • Lawson, W.G.1    Hansen, J.A.2
  • 25
    • 84975888044 scopus 로고
    • Analysis methods for numerical weather prediction
    • Lorenc, A. C., 1986: Analysis methods for numerical weather prediction. Quart. J. Roy. Meteor. Soc., 112, 1177-1194.
    • (1986) Quart. J. Roy. Meteor. Soc , vol.112 , pp. 1177-1194
    • Lorenc, A.C.1
  • 26
    • 53249120512 scopus 로고    scopus 로고
    • Maybeck, P. S., 1979: Stochastic Models, Estimation, and Control. 1. Mathematics in Science and Engineering, 141-1, Academic Press, 442 pp.
    • Maybeck, P. S., 1979: Stochastic Models, Estimation, and Control. Vol. 1. Mathematics in Science and Engineering, Vol. 141-1, Academic Press, 442 pp.
  • 27
    • 8844258829 scopus 로고    scopus 로고
    • A local ensemble Kalman filter for atmospheric data assimilation
    • Ott, E., and Coauthors, 2004: A local ensemble Kalman filter for atmospheric data assimilation. Tellus, 56A, 415-428.
    • (2004) Tellus , vol.56 A , pp. 415-428
    • Ott, E.1
  • 28
    • 0031742114 scopus 로고    scopus 로고
    • A singular evolutive extended Kalman filter for data assimilation in oceanography
    • Pham, D. T., J. Verron, and M. C. Roubaud, 1998: A singular evolutive extended Kalman filter for data assimilation in oceanography. J. Mar. Syst., 16, 323-340.
    • (1998) J. Mar. Syst , vol.16 , pp. 323-340
    • Pham, D.T.1    Verron, J.2    Roubaud, M.C.3
  • 29
    • 0036322061 scopus 로고    scopus 로고
    • Hydrologic data assimilation with the ensemble Kalman filter
    • Reichle, R. H., D. B. McLaughlin, and D. Entekhabi, 2002: Hydrologic data assimilation with the ensemble Kalman filter. Mon. Wea. Rev., 130, 103-114.
    • (2002) Mon. Wea. Rev , vol.130 , pp. 103-114
    • Reichle, R.H.1    McLaughlin, D.B.2    Entekhabi, D.3
  • 30
    • 0141571533 scopus 로고    scopus 로고
    • Assimilation of simulated Doppler radar observations with an ensemble Kalman filter
    • Snyder, C., and F. Zhang, 2003: Assimilation of simulated Doppler radar observations with an ensemble Kalman filter. Mon. Wea. Rev., 131, 1663-1677.
    • (2003) Mon. Wea. Rev , vol.131 , pp. 1663-1677
    • Snyder, C.1    Zhang, F.2
  • 32
    • 0032742740 scopus 로고    scopus 로고
    • van Leeuwen, P. J., 1999: Comment on Data assimilation using an ensemble Kalman filter technique. Mon. Wea. Rev., 127, 1374-1377.
    • van Leeuwen, P. J., 1999: Comment on "Data assimilation using an ensemble Kalman filter technique." Mon. Wea. Rev., 127, 1374-1377.
  • 33
    • 0036646009 scopus 로고    scopus 로고
    • Ensemble data assimilation without perturbed observations
    • Whitaker, J. S., and T. M. Hamill, 2002: Ensemble data assimilation without perturbed observations, Mon. Wea. Rev., 130, 1913-1924.,
    • (2002) Mon. Wea. Rev , vol.130 , pp. 1913-1924
    • Whitaker, J.S.1    Hamill, T.M.2


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