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Volumn 139, Issue 11, 2011, Pages 3571-3588

Ensemble state estimation for nonlinear systems using polynomial expansions in the innovation

Author keywords

Data assimilation; Ensembles; Filtering techniques; Forecasting; Kalman filters

Indexed keywords

BAYESIAN FRAMEWORKS; DATA ASSIMILATION; ENSEMBLES; ESTIMATION PROBLEM; FILTERING TECHNIQUES; FORECAST ERRORS; LORENZ ATTRACTOR; MOMENTS OF THE DISTRIBUTION; NONLINEAR FUNCTIONS; NONNORMAL; POLYNOMIAL EXPANSION; POLYNOMIAL SERIES; PROBABILITY DENSITY FUNCTION (PDF); SCALAR SYSTEMS; STATE ESTIMATES;

EID: 84855772814     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/2011MWR3558.1     Document Type: Article
Times cited : (26)

References (33)
  • 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
    • 34247642674 scopus 로고    scopus 로고
    • An adaptive covariance inflation error correction algorithm for ensemble filters
    • Anderson, J. L., 2007: An adaptive covariance inflation error correction algorithm for ensemble filters. Tellus, 59A, 210-224.
    • (2007) Tellus , vol.59 A , pp. 210-224
    • Anderson, J.L.1
  • 3
    • 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
  • 4
    • 0035270690 scopus 로고    scopus 로고
    • Adaptive sampling with the ensemble transform Kalman filter. Part I: Theoretical aspects
    • Bishop, C. H., B. J. Etherton, and S. J. Majumdar, 2001: Adaptive sampling with the ensemble transform Kalman filter. Part I: Theoretical aspects. Mon. Wea. Rev., 129, 420-436.
    • (2001) Mon. Wea. Rev. , vol.129 , pp. 420-436
    • Bishop, C.H.1    Etherton, B.J.2    Majumdar, S.J.3
  • 5
    • 24944560859 scopus 로고    scopus 로고
    • Ensemble-derived stationary and flow-dependent background-error covariances:Evaluation in a quasi-operational NWP setting
    • Buehner, M., 2005: Ensemble-derived stationary and flow-dependent background-error covariances:Evaluation in a quasi-operational NWP setting. Quart. J. Roy. Meteor. Soc., 131, 1013-1043.
    • (2005) Quart. J. Roy. Meteor. Soc. , vol.131 , pp. 1013-1043
    • Buehner, M.1
  • 6
    • 0032439201 scopus 로고    scopus 로고
    • On the analysis scheme in the ensemble Kalman filter
    • Burgers, G., P. J. van Leeuwen, and G. Evenson, 1998: On the 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    Evenson, G.3
  • 7
    • 0028561614 scopus 로고
    • A strategy for operational implementation of 4d-var, using an incremental approach
    • Courtier, P., J.-N. Thepaut, and A. Hollingsworth, 1994: A strategy for operational implementation of 4d-var, using an incremental approach. Quart. J. Roy. Meteor. Soc., 120, 1367-1387.
    • (1994) Quart. J. Roy. Meteor. Soc. , vol.120 , pp. 1367-1387
    • Courtier, P.1    Thepaut, J.-N.2    Hollingsworth, A.3
  • 8
    • 0028193070 scopus 로고
    • Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte-Carlo methods to forecast error statistics
    • Evenson, G., 1994: Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte-Carlo methods to forecast error statistics. J. Geophys. Res., 99, 143-162.
    • (1994) J. Geophys. Res. , vol.99 , pp. 143-162
    • Evenson, G.1
  • 9
    • 33846861503 scopus 로고    scopus 로고
    • On the equivalence between Kalman smoothing and weak-constraint fourdimensional variational data assimilation
    • Fisher, M., M. Leutbecher, and G. A. Kelly, 2005: On the equivalence between Kalman smoothing and weak-constraint fourdimensional variational data assimilation. Quart. J. Roy.Meteor. Soc., 131, 3235-3246.
    • (2005) Quart. J. Roy.Meteor. Soc. , vol.131 , pp. 3235-3246
    • Fisher, M.1    Leutbecher, M.2    Kelly, G.A.3
  • 10
    • 33745223678 scopus 로고    scopus 로고
    • A data assimilation method for log-normally distributed observational errors.Quart
    • Fletcher, S. J., and M. Zupanski, 2006: A data assimilation method for log-normally distributed observational errors.Quart. J. Roy.Meteor. Soc., 132, 2505-2519.
    • (2006) J. Roy.Meteor. Soc. , vol.132 , pp. 2505-2519
    • Fletcher, S.J.1    Zupanski, M.2
  • 12
    • 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
  • 13
    • 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
  • 15
    • 0031347068 scopus 로고    scopus 로고
    • New extension of the Kalman filter to nonlinear systems
    • I. Kader, Ed., International Society forOptical Engineering (SPIE Proceedings)
    • Julier, S. J., and J. K. Uhlmann, 1997: New extension of the Kalman filter to nonlinear systems. Signal Processing, Sensor Fusion, and Target Recognition VI, I. Kader, Ed., International Society forOptical Engineering (SPIE Proceedings, Vol. 3068), 182-193.
    • (1997) Signal Processing, Sensor Fusion, and Target Recognition VI , vol.3068 , pp. 182-193
    • Julier, S.J.1    Uhlmann, J.K.2
  • 16
    • 21244437999 scopus 로고    scopus 로고
    • Unscented filtering and nonlinear estimation
    • Julier, S. J., and J. K. Uhlmann, 2004: Unscented filtering and nonlinear estimation. Proc. IEEE, 92, 401-422.
    • (2004) Proc. IEEE , vol.92 , pp. 401-422
    • Julier, S.J.1    Uhlmann, J.K.2
  • 17
    • 85024429815 scopus 로고
    • A new approach to linear filtering and prediction problems
    • Kalman, R. E., 1960: A new approach to linear filtering and prediction problems. J. Basic Eng., 82, 35-45.
    • (1960) J. Basic Eng. , vol.82 , pp. 35-45
    • Kalman, R.E.1
  • 18
    • 85024423711 scopus 로고
    • New results in linear filtering and prediction theory
    • Kalman, R. E., and R. S. Bucy, 1961: New results in linear filtering and prediction theory. Trans. ASME J. Basic Eng., 83D, 95-107.
    • (1961) Trans. ASME J. Basic Eng. , vol.83 D , pp. 95-107
    • Kalman, R.E.1    Bucy, R.S.2
  • 19
    • 84932847698 scopus 로고
    • Approximations to optimal nonlinear filters
    • Kushner, H. J., 1967: Approximations to optimal nonlinear filters. IEEE Trans. Automat. Contrib., AC-12, 546-556.
    • (1967) IEEE Trans. Automat. Contrib. , vol.AC-12 , pp. 546-556
    • Kushner, H.J.1
  • 20
    • 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
  • 21
    • 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
  • 22
    • 34247212113 scopus 로고    scopus 로고
    • 4D-Var and the butterfly effect: Statistical four-dimensional data assimilation for a wide range of scales
    • Lorenc, A. C., and T. Payne, 2007: 4D-Var and the butterfly effect: Statistical four-dimensional data assimilation for a wide range of scales. Quart. J. Roy. Meteor. Soc., 133, 607-614.
    • (2007) Quart. J. Roy. Meteor. Soc. , vol.133 , pp. 607-614
    • Lorenc, A.C.1    Payne, T.2
  • 23
    • 0000241853 scopus 로고
    • Deterministic non-periodic flow
    • Lorenz, E. N., 1963: Deterministic non-periodic flow. J. Atmos. Sci., 20, 130-141.
    • (1963) J. Atmos. Sci. , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 24
    • 0028554556 scopus 로고
    • Advanced data assimilation in strongly nonlinear dynamical systems
    • Miller, R. N., M. Ghil, and F. Gauthiez, 1994: Advanced data assimilation in strongly nonlinear dynamical systems. J. Atmos. Sci., 51, 1037-1056.
    • (1994) J. Atmos. Sci. , vol.51 , pp. 1037-1056
    • Miller, R.N.1    Ghil, M.2    Gauthiez, F.3
  • 25
    • 0027073664 scopus 로고
    • Variational data assimilation with an adiabatic version of the NMC spectral model
    • Navon, I. M., X. Zhou, J. Derber, and J. Sela, 1992: Variational data assimilation with an adiabatic version of the NMC spectral model. Mon. Wea. Rev., 120, 1433-1446.
    • (1992) Mon. Wea. Rev. , vol.120 , pp. 1433-1446
    • Navon, I.M.1    Zhou, X.2    Derber, J.3    Sela, J.4
  • 26
    • 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
  • 27
    • 0142153709 scopus 로고    scopus 로고
    • Nonlinear growth of singular-vector-based perturbations
    • Reynolds, C. A., and T. E. Rosmond, 2003: Nonlinear growth of singular-vector-based perturbations. Quart. J. Roy. Meteor. Soc., 129, 3059-3078.
    • (2003) Quart. J. Roy. Meteor. Soc. , vol.129 , pp. 3059-3078
    • Reynolds, C.A.1    Rosmond, T.E.2
  • 28
    • 64149083162 scopus 로고    scopus 로고
    • Obstacles to high-dimensional particle filtering
    • Snyder, C., T. Bengtsson, and J. Anderson, 2008: Obstacles to high-dimensional particle filtering. Mon. Wea. Rev., 136, 4629-4640.
    • (2008) Mon. Wea. Rev. , vol.136 , pp. 4629-4640
    • Snyder, C.1    Bengtsson, T.2    Anderson, J.3
  • 29
    • 4344693347 scopus 로고    scopus 로고
    • Mesoscale predictability of moist baroclinic waves: Experiments with parameterized convection
    • Tan, Z., F. Zhang, R. Rotunno, and C. Snyder, 2004: Mesoscale predictability of moist baroclinic waves: Experiments with parameterized convection. J. Atmos. Sci., 61, 1794-1804.
    • (2004) J. Atmos. Sci. , vol.61 , pp. 1794-1804
    • Tan, Z.1    Zhang, F.2    Rotunno, R.3    Snyder, C.4
  • 30
    • 0037690374 scopus 로고    scopus 로고
    • Ensemble square root filters
    • Tippet, M. K., J. L. Anderson, C. H. Bishop, T. M. Hamill, and J. S. Whitaker, 2003: Ensemble square root filters. Mon. Wea. Rev., 131, 1485-1490. van Leeuwen, P. J., 2009: Particle filtering in geophysical systems. Mon. Wea. Rev., 137, 4089-4114.
    • (2003) Mon. Wea. Rev. , vol.131 , pp. 1485-1490
    • Tippet, M.K.1    Anderson, J.L.2    Bishop, C.H.3    Hamill, T.M.4    Whitaker, J.S.5
  • 31
    • 74949130817 scopus 로고    scopus 로고
    • Particle filtering in geophysical systems
    • van Leeuwen, P. J., 2009: Particle filtering in geophysical systems. Mon. Wea. Rev., 137, 4089-4114.
    • (2009) Mon. Wea. Rev. , vol.137 , pp. 4089-4114
    • van Leeuwen, P.J.1
  • 32
    • 0038656650 scopus 로고    scopus 로고
    • Effects of moist convection on mesoscale predictability
    • Zhang, F., C. Snyder, and R. Rotunno, 2003: Effects of moist convection on mesoscale predictability. J. Atmos. Sci., 60, 1173-1185.
    • (2003) J. Atmos. Sci. , vol.60 , pp. 1173-1185
    • Zhang, F.1    Snyder, C.2    Rotunno, R.3
  • 33
    • 24944523803 scopus 로고    scopus 로고
    • Maximum likelihood ensemble filter: Theoretical aspects
    • Zupanski, M., 2005: Maximum likelihood ensemble filter: Theoretical aspects. Mon. Wea. Rev., 133, 1710-1726.
    • (2005) Mon. Wea. Rev. , vol.133 , pp. 1710-1726
    • Zupanski, M.1


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