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Volumn 56, Issue 4, 2008, Pages 1337-1348

A basic convergence result for particle filtering

Author keywords

Convergence of numerical methods; Nonlinear estimation; Particle filter; State estimation

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; ESTIMATION;

EID: 41849123126     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2007.911295     Document Type: Article
Times cited : (132)

References (30)
  • 2
    • 85024429815 scopus 로고
    • A new approach to linear filtering and prediction problems
    • R. E. Kalman, "A new approach to linear filtering and prediction problems," Trans. ASME, J. Basic Eng., vol. 82, pp. 35-45, 1960.
    • (1960) Trans. ASME, J. Basic Eng , vol.82 , pp. 35-45
    • Kalman, R.E.1
  • 4
    • 0001152229 scopus 로고
    • Application of state-space methods to navigation problems
    • S. F. Schmidt, "Application of state-space methods to navigation problems," Adv. Control Syst., vol. 3, pp. 293-340, 1966.
    • (1966) Adv. Control Syst , vol.3 , pp. 293-340
    • Schmidt, S.F.1
  • 5
    • 0000007140 scopus 로고
    • Recursive Bayesian estimation using Gaussian sum
    • H. W. Sorenson and D. L. Alspach, "Recursive Bayesian estimation using Gaussian sum," Automatica, vol. 7, pp. 465-479, 1971.
    • (1971) Automatica , vol.7 , pp. 465-479
    • Sorenson, H.W.1    Alspach, D.L.2
  • 6
    • 0001231547 scopus 로고
    • Digital synthesis on nonlinear filters
    • R. S. Bucy and K. D. Senne, "Digital synthesis on nonlinear filters," Automatica, vol. 7, pp. 287-298, 1971.
    • (1971) Automatica , vol.7 , pp. 287-298
    • Bucy, R.S.1    Senne, K.D.2
  • 7
    • 41849107991 scopus 로고    scopus 로고
    • N. Bergman, Recursive Bayesian estimation: Navigation and tracking applications, Dissertations No. 579, SE-581 83, Linköping Univ., Linköping, Sweden, 1999.
    • N. Bergman, "Recursive Bayesian estimation: Navigation and tracking applications," Dissertations No. 579, SE-581 83, Linköping Univ., Linköping, Sweden, 1999.
  • 8
    • 21244437999 scopus 로고    scopus 로고
    • Unscented filtering and nonlinear estimation
    • Mar
    • S. J. Julier and J. K. Uhlmann, "Unscented filtering and nonlinear estimation," Proc. IEEE, vol. 92, pp. 401-422, Mar. 2004.
    • (2004) Proc. IEEE , vol.92 , pp. 401-422
    • Julier, S.J.1    Uhlmann, J.K.2
  • 10
    • 0036475447 scopus 로고    scopus 로고
    • A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking
    • Feb
    • M. S. Arulampalam, S. Maskell, N. Gordon, and T. Clapp, "A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking," IEEE Trans. Signal Process., vol. 50, no. 2, pp. 174-188, Feb. 2002.
    • (2002) IEEE Trans. Signal Process , vol.50 , Issue.2 , pp. 174-188
    • Arulampalam, M.S.1    Maskell, S.2    Gordon, N.3    Clapp, T.4
  • 12
    • 33745955275 scopus 로고
    • The Monte Carlo method
    • N. Metropolis and S. Ulam, "The Monte Carlo method," J. Amer. Stat. Assoc., vol. 44, no. 247, pp. 335-341, 1949.
    • (1949) J. Amer. Stat. Assoc , vol.44 , Issue.247 , pp. 335-341
    • Metropolis, N.1    Ulam, S.2
  • 14
    • 0036504051 scopus 로고    scopus 로고
    • A survey of convergence results on particle filtering methods for practitioners
    • Mar
    • D. Crisan and A. Doucet, "A survey of convergence results on particle filtering methods for practitioners," IEEE Trans. Signal Process. vol. 50, no. 3, pp. 736-746, Mar. 2002.
    • (2002) IEEE Trans. Signal Process , vol.50 , Issue.3 , pp. 736-746
    • Crisan, D.1    Doucet, A.2
  • 15
    • 0002936641 scopus 로고    scopus 로고
    • Branching and Interacting Particle Systems Approximations of Feynman-Kac Formulae with Applications to Non-Linear Filtering
    • Berlin, Germany: Springer-Verlag
    • P. Del Moral and L. Miclo, Branching and Interacting Particle Systems Approximations of Feynman-Kac Formulae with Applications to Non-Linear Filtering. Berlin, Germany: Springer-Verlag, 2000, vol. 1729, Lecture Notes in Mathematics, pp. 1-145.
    • (2000) Lecture Notes in Mathematics , vol.1729 , pp. 1-145
    • Del Moral, P.1    Miclo, L.2
  • 16
    • 0001534675 scopus 로고    scopus 로고
    • Non-linear filtering: Interacting particle solution
    • P. Del Moral, "Non-linear filtering: Interacting particle solution," Markov Process. Related Fields, vol. 2, no. 4, pp. 555-580, 1996.
    • (1996) Markov Process. Related Fields , vol.2 , Issue.4 , pp. 555-580
    • Del Moral, P.1
  • 18
    • 0033438365 scopus 로고    scopus 로고
    • A central limit theorem for non linear filtering and interacting particle systems
    • P. Del Moral and A. Guionnet, "A central limit theorem for non linear filtering and interacting particle systems," Ann. Appl. Probab., vol. 9, no.2, pp. 275-297, 1999.
    • (1999) Ann. Appl. Probab , vol.9 , Issue.2 , pp. 275-297
    • Del Moral, P.1    Guionnet, A.2
  • 19
    • 41849113050 scopus 로고    scopus 로고
    • D. Crisan and M. Grunwald, Large deviation comparison of branching algorithms versus resampling algorithms, Statist. Lab., Cambridge Univ., Cambridge, U.K., Tech. Rep. TR1999-9, 1998.
    • D. Crisan and M. Grunwald, "Large deviation comparison of branching algorithms versus resampling algorithms," Statist. Lab., Cambridge Univ., Cambridge, U.K., Tech. Rep. TR1999-9, 1998.
  • 20
    • 0003040231 scopus 로고    scopus 로고
    • Large deviations for interacting particle systems: Applications to nonlinear filtering problems
    • P. Del Moral and A. Guionnet, "Large deviations for interacting particle systems: Applications to nonlinear filtering problems," Stoch. Process. Appl., vol. 78, pp. 69-95, 1998.
    • (1998) Stoch. Process. Appl , vol.78 , pp. 69-95
    • Del Moral, P.1    Guionnet, A.2
  • 21
    • 35648984763 scopus 로고    scopus 로고
    • Estimation of nonlinear dynamic systems - Theory and applications
    • Elect. Eng. Dept, Linköping Univ, Linköping, Sweden
    • T. B. Schön, "Estimation of nonlinear dynamic systems - Theory and applications," Dissertations No. 998, Elect. Eng. Dept., Linköping Univ., Linköping, Sweden, 2006.
    • (2006) Dissertations , Issue.998
    • Schön, T.B.1
  • 22
    • 51249187914 scopus 로고
    • p(p > 2) spanned by sequences of independent random variables
    • p(p > 2) spanned by sequences of independent random variables," Israel J. Math., vol. 8, no. 3, pp. 273-303, 1970.
    • (1970) Israel J. Math , vol.8 , Issue.3 , pp. 273-303
    • Rosenthal, H.1
  • 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," Stat. Comput., vol. 10, no. 3, pp. 197-208, 2000.
    • (2000) Stat. Comput , vol.10 , Issue.3 , pp. 197-208
    • Doucet, A.1    Godsill, S.J.2    Andrieu, C.3
  • 24
    • 0003665481 scopus 로고    scopus 로고
    • A. Doucet, N. de Freitas, and N. Gordon, Eds, New York: Springer-Verlag
    • A. Doucet, N. de Freitas, and N. Gordon, Eds., Sequential Monte Carlo Methods in Practice. New York: Springer-Verlag, 2001.
    • (2001) Sequential Monte Carlo Methods in Practice
  • 25
    • 0004182828 scopus 로고    scopus 로고
    • Monte Carlo Strategies in Scientific Computing
    • New York: Springer
    • J. S. Liu, Monte Carlo Strategies in Scientific Computing, ser. Springer Series in Statistics. New York: Springer, 2001.
    • (2001) ser. Springer Series in Statistics
    • Liu, J.S.1
  • 28
    • 41849105341 scopus 로고    scopus 로고
    • G. Poyiadjis, A. Doucet, and S. S. Singh, Maximum likelihood parameter estimation in general state-space models using particle methods, presented at the Amer. Statistical Assoc., Minneapolis, MN, Aug. 2005.
    • G. Poyiadjis, A. Doucet, and S. S. Singh, "Maximum likelihood parameter estimation in general state-space models using particle methods," presented at the Amer. Statistical Assoc., Minneapolis, MN, Aug. 2005.
  • 29
    • 30344486983 scopus 로고    scopus 로고
    • Recursive Monte Carlo filters: Algorithms and theoretical analysis
    • H. R. Künsch, "Recursive Monte Carlo filters: Algorithms and theoretical analysis," Ann. Stat., vol. 33, no. 5, pp. 1983-2021, 2005.
    • (2005) Ann. Stat , vol.33 , Issue.5 , pp. 1983-2021
    • Künsch, H.R.1
  • 30
    • 0003937712 scopus 로고
    • 2nd ed. New York: Academic, Probability and Mathematical Statistics
    • K. L. Chung, A Course in Probability Theory, 2nd ed. New York: Academic, 1974, vol. 21, Probability and Mathematical Statistics.
    • (1974) A Course in Probability Theory , vol.21
    • Chung, K.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.