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Volumn 51, Issue 10, 2003, Pages 2592-2601

Gaussian particle filtering

Author keywords

Dynamic state space models; Extended Kalman filter; Gaussian mixture; Gaussian mixture filter; Gaussian particle filter; Gaussian sum filter; Gaussian sum particle filter; Monte Carlo filters; Nonlinear non Gaussian stochastic systems; Particle filters; Sequential Bayesian estimation; Sequential sampling methods; Unscented Kalman filter

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; DIGITAL FILTERS; ESTIMATION; KALMAN FILTERING; MATHEMATICAL MODELS; MONTE CARLO METHODS; PROBABILITY DISTRIBUTIONS; RECURSIVE FUNCTIONS; STATE SPACE METHODS;

EID: 0141954079     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2003.816758     Document Type: Article
Times cited : (798)

References (32)
  • 3
    • 0000691043 scopus 로고
    • Bayesian forecasting (with discussion)
    • P. J. Harrison and C. F. Stevens, "Bayesian forecasting (with discussion)," J. R. Statist. Soc. B, vol. 38, pp. 205-247, 1976.
    • (1976) J. R. Statist. Soc. B , vol.38 , pp. 205-247
    • Harrison, P.J.1    Stevens, C.F.2
  • 10
    • 0000761371 scopus 로고
    • Applied state-space modeling of non-Gaussian time series using integration based Kalman filtering
    • S. Frühwirth-Schnatter, "Applied state-space modeling of non-Gaussian time series using integration based Kalman filtering," Statist. Comput., vol. 4, pp. 259-269, 1994.
    • (1994) Statist. Comput. , vol.4 , pp. 259-269
    • Frühwirth-Schnatter, S.1
  • 11
    • 0016473357 scopus 로고
    • Approximate non-Gaussian filtering with linear state and observation relations
    • C. J. Masreliez, "Approximate non-Gaussian filtering with linear state and observation relations," IEEE Trans. Automat. Contr., vol. 20, pp. 107-110, 1975.
    • (1975) IEEE Trans. Automat. Contr. , vol.20 , pp. 107-110
    • Masreliez, C.J.1
  • 12
    • 84919201360 scopus 로고
    • Dynamic generalized linear models and Bayesian forecasting, (with discussion)
    • M. West, P. J. Harrison, and H. S. Migon, "Dynamic generalized linear models and Bayesian forecasting, (with discussion)," J. Amer. Statist. Assoc., vol. 80, 73-97, 1985.
    • (1985) J. Amer. Statist. Assoc. , vol.80 , pp. 73-97
    • West, M.1    Harrison, P.J.2    Migon, H.S.3
  • 14
    • 0034186948 scopus 로고    scopus 로고
    • Gaussian filters for nonlinear filtering problems
    • May
    • K. Ito and K. Xiong, "Gaussian filters for nonlinear filtering problems," IEEE Trans. Automat. Contr., vol. 45, pp. 910-927, May 2000.
    • (2000) IEEE Trans. Automat. Contr. , vol.45 , pp. 910-927
    • Ito, K.1    Xiong, K.2
  • 15
    • 0015385037 scopus 로고
    • Nonlinear Bayesian estimation using Gaussian sum approximation
    • July
    • D. L. Alspach and H. W. Sorenson, "Nonlinear Bayesian estimation using Gaussian sum approximation," IEEE Trans. Automat. Contr., vol. 17, pp. 439-448, July 1972.
    • (1972) IEEE Trans. Automat. Contr. , vol.17 , pp. 439-448
    • Alspach, D.L.1    Sorenson, H.W.2
  • 16
    • 0141896753 scopus 로고
    • Bayes theorem and digital realization for nonlinear filters
    • R. S. Bucy, "Bayes theorem and digital realization for nonlinear filters," J. Astronaut. Sci., vol. 80, pp. 73-97, 1969.
    • (1969) J. Astronaut. Sci. , vol.80 , pp. 73-97
    • Bucy, R.S.1
  • 17
    • 84950459387 scopus 로고
    • Non-Gaussian state-space modeling of nonstationary time series
    • G. Kitagawa, "Non-Gaussian state-space modeling of nonstationary time series," J. Amer. Statist. Assoc., vol. 82, no. 400, pp. 1032-1063, 1987.
    • (1987) J. Amer. Statist. Assoc. , vol.82 , Issue.400 , pp. 1032-1063
    • Kitagawa, G.1
  • 18
    • 0000871666 scopus 로고    scopus 로고
    • Recursive Bayesian estimation using piece-wise constant approximations
    • S. C. Kramer and H. W. Sorenson, "Recursive Bayesian estimation using piece-wise constant approximations," Automatica, vol. 24, pp. 789-801.
    • Automatica , vol.24 , pp. 789-801
    • Kramer, S.C.1    Sorenson, H.W.2
  • 19
    • 4243498308 scopus 로고
    • Efficient numerical integration in dynamic models
    • Dept. Statist., Univ. Warwick, Warwick, U.K., Res. Rep., 136
    • A. Pole and M. West, "Efficient numerical integration in dynamic models," Dept. Statist., Univ. Warwick, Warwick, U.K., Res. Rep., 136, 1988.
    • (1988)
    • Pole, A.1    West, M.2
  • 20
    • 0029408930 scopus 로고
    • Bayesian state estimation for tracking and guidance using the bootstrap filter
    • Nov.-Dec.
    • N. Gordon, D. Salmond, and C. Ewing, "Bayesian state estimation for tracking and guidance using the bootstrap filter," J. Guidance, Contr., Dyn., vol. 18, no. 6, pp. 1434-1443, Nov.-Dec. 1995.
    • (1995) J. Guidance, Contr., Dyn. , vol.18 , Issue.6 , pp. 1434-1443
    • Gordon, N.1    Salmond, D.2    Ewing, C.3
  • 22
    • 0032359151 scopus 로고    scopus 로고
    • Monte Carlo methods for dynamic systems
    • J. S. Liu and R. Chen, "Monte Carlo methods for dynamic systems," J. Amer. Statist. Assoc., vol. 93, no. 443, pp. 1032-1044, 1998.
    • (1998) J. Amer. Statist. Assoc. , vol.93 , Issue.443 , pp. 1032-1044
    • Liu, J.S.1    Chen, R.2
  • 23
    • 0001460136 scopus 로고    scopus 로고
    • On sequential Monte Carlo sampling methods for Bayesian filtering
    • A. Doucet, S. J. Godsill, and C. Andrieu, "On sequential Monte Carlo sampling methods for Bayesian filtering," Statist. Comput., vol. 10, no. 3, pp. 197-208, 2000.
    • (2000) Statist. Comput. , vol.10 , Issue.3 , pp. 197-208
    • Doucet, A.1    Godsill, S.J.2    Andrieu, C.3
  • 25
    • 0001667705 scopus 로고
    • Bayesian inference in econometrics models using Monte Carlo integration
    • J. Geweke, "Bayesian inference in econometrics models using Monte Carlo integration," Econometrica, vol. 33, no. 1, pp. 1317-1339, 1989.
    • (1989) Econometrica , vol.33 , Issue.1 , pp. 1317-1339
    • Geweke, J.1
  • 26
    • 0033723743 scopus 로고    scopus 로고
    • A new method for the nonlinear transformation of means and covariances in filters and estimators
    • Mar.
    • S. J. Julier, J. K. Uhlmann, and H. F. Durrant-Whyte, "A new method for the nonlinear transformation of means and covariances in filters and estimators," IEEE Trans. Automat. Contr., vol. 45, pp. 477-482, Mar. 2000.
    • (2000) IEEE Trans. Automat. Contr. , vol.45 , pp. 477-482
    • Julier, S.J.1    Uhlmann, J.K.2    Durrant-Whyte, H.F.3
  • 27
    • 0031321240 scopus 로고    scopus 로고
    • Dynamic conditional independence models and Markov chain Monte Carlo
    • Dec.
    • C. Berzuini, N. G. Best, W. R. Gilks, and C. Larizza, "Dynamic conditional independence models and Markov chain Monte Carlo," J. Amer. Statist. Assoc., vol. 92, no. 440, pp. 1403-1412, Dec. 1997.
    • (1997) J. Amer. Statist. Assoc. , vol.92 , Issue.440 , pp. 1403-1412
    • Berzuini, C.1    Best, N.G.2    Gilks, W.R.3    Larizza, C.4
  • 29
    • 0030865496 scopus 로고    scopus 로고
    • A fast weighted Bayesian bootstrap filter for nonlinear model state estimation
    • Jan.
    • E. R. Beadle and P. M. Djurić, "A fast weighted Bayesian bootstrap filter for nonlinear model state estimation," IEEE Trans. Aerosp. Electron. Syst., vol. 33, pp. 338-342, Jan. 1997.
    • (1997) IEEE Trans. Aerosp. Electron. Syst. , vol.33 , pp. 338-342
    • Beadle, E.R.1    Djurić, P.M.2
  • 30
    • 0029289453 scopus 로고
    • Stochastic simulation Bayesian approach to multitarget tracking
    • Apr.
    • D. Avitzour, "Stochastic simulation Bayesian approach to multitarget tracking," Proc. Inst. Elect. Eng.-Radar Sonar Navigat., vol. 142, no. 2, pp. 41-44, Apr. 1995.
    • (1995) Proc. Inst. Elect. Eng.-Radar Sonar Navigat. , vol.142 , Issue.2 , pp. 41-44
    • Avitzour, D.1
  • 31
    • 0027580559 scopus 로고
    • Novel approach to nonlinear/non-Gaussian Bayesian state estimation
    • Apr.
    • N. J. Gordon, D. J. Salmond, and A. F. M. Smith, "Novel approach to nonlinear/non-Gaussian Bayesian state estimation," Proc. Inst. Elect. Eng. F, vol. 140, no. 2, pp. 107-113, Apr. 1993.
    • (1993) Proc. Inst. Elect. Eng. F , vol.140 , Issue.2 , pp. 107-113
    • Gordon, N.J.1    Salmond, D.J.2    Smith, A.F.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.