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Volumn 92, Issue 2, 2008, Pages 179-195

Generalized gauss - Hermite filtering

Author keywords

Continuous discrete state space model; Discrete measurements; Gaussian filter; Hermite expansion; Nonlinear systems; Stochastic differential equations

Indexed keywords


EID: 46649085249     PISSN: 18638171     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10182-008-0068-z     Document Type: Article
Times cited : (19)

References (23)
  • 2
    • 0036216388 scopus 로고    scopus 로고
    • Maximum likelihood estimation of discretely sampled diffusions: A closed-form approximation approach
    • Aït-Sahalia, Y.: Maximum likelihood estimation of discretely sampled diffusions: A closed-form approximation approach. Econometrica 70(1), 223-262 (2002)
    • (2002) Econometrica , vol.70 , Issue.1 , pp. 223-262
    • Aït-Sahalia, Y.1
  • 4
    • 0033737762 scopus 로고    scopus 로고
    • Nonlinear filtering via generalized edgeworth series and Gauss-Hermite quadrature
    • Challa, S., Bar-Shalom, Y., Krishnamurthy, V.: Nonlinear filtering via generalized edgeworth series and Gauss-Hermite quadrature. IEEE Trans. Signal Process. 48, 1816-1820 (2000)
    • (2000) IEEE Trans. Signal Process. , vol.48 , pp. 1816-1820
    • Challa, S.1    Bar-Shalom, Y.2    Krishnamurthy, V.3
  • 6
    • 0022752210 scopus 로고
    • Exact finite-dimensional nonlinear filters
    • Daum, F.: Exact finite-dimensional nonlinear filters. IEEE Trans. Autom. Control 31, 616-622 (1986)
    • (1986) IEEE Trans. Autom. Control , vol.31 , pp. 616-622
    • Daum, F.1
  • 7
    • 23844456306 scopus 로고    scopus 로고
    • Nonlinear filters: Beyond the Kalman filter
    • Daum, F.: NonBinear filters: beyond the Kalman filter. IEEE A&E Syst. Mag 20(8), 57-69 (2005)
    • (2005) IEEE A&E Syst. Mag , vol.20 , Issue.8 , pp. 57-69
    • Daum, F.1
  • 8
    • 0034186948 scopus 로고    scopus 로고
    • Gaussian filters for nonlinear filtering problems
    • Ito, K., Xiong, K.: Gaussian filters for nonlinear filtering problems. IEEE Trans. Autom. Control 45(5), 910-927 (2000)
    • (2000) IEEE Trans. Autom. Control , vol.45 , Issue.5 , pp. 910-927
    • Ito, K.1    Xiong, K.2
  • 11
    • 21244437999 scopus 로고    scopus 로고
    • Unscented Kalman filtering and nonlinear estimation
    • Julier, S., Uhlmann, J.: Unscented Kalman filtering and nonlinear estimation. Proc. IEEE 92(3), 401-422 (2004)
    • (2004) Proc. IEEE , vol.92 , Issue.3 , pp. 401-422
    • Julier, S.1    Uhlmann, J.2
  • 12
    • 0033723743 scopus 로고    scopus 로고
    • A new method for the nonlinear transformation of means and covariances in filters and estimators
    • Julier, S., Uhlmann, J., Durrant-White, H.F.: A new method for the nonlinear transformation of means and covariances in filters and estimators. IEEE Trans. Autom. Control 45 (3), 477-482 (2000)
    • (2000) IEEE Trans. Autom. Control , vol.45 , Issue.3 , pp. 477-482
    • Julier, S.1    Uhlmann, J.2    Durrant-White, H.F.3
  • 13
    • 0003160681 scopus 로고
    • Quasi-moment functions in the theory of random processes
    • Kuznetsov, P., Stratonovich, R., Tikhonov, V.: Quasi-moment functions in the theory of random processes. Theory Probab. Appl. V(1), 80-97 (1960)
    • (1960) Theory Probab. Appl. , vol.5 , Issue.1 , pp. 80-97
    • Kuznetsov, P.1    Stratonovich, R.2    Tikhonov, V.3
  • 15
    • 0028554556 scopus 로고
    • Advanced data assimilation in strongly nonlinear dynamical systems
    • Miller, R., Ghil, M., Gauthiez, F.: Advanced data assimilation in strongly nonlinear dynamical systems. J. Atmos. Sci. 51(8), 1037-1056 (1994)
    • (1994) J. Atmos. Sci. , vol.51 , Issue.8 , pp. 1037-1056
    • Miller, R.1    Ghil, M.2    Gauthiez, F.3
  • 16
    • 0034326226 scopus 로고    scopus 로고
    • New developments in state estimation for nonlinear systems
    • Nørgaard, M., Poulsen, N., Ravn, O.: New developments in state estimation for nonlinear systems. Automatica 36, 1627-1638 (2000)
    • (2000) Automatica , vol.36 , pp. 1627-1638
    • Nørgaard, M.1    Poulsen, N.2    Ravn, O.3
  • 17
    • 0036925886 scopus 로고    scopus 로고
    • Parameter estimation of nonlinear stochastic differential equations: Simulated maximum likelihood vs. extended Kalman filter and Itô-Taylor expansion
    • Singer, H.: Parameter estimation of nonlinear stochastic differential equations: Simulated maximum likelihood vs. extended Kalman filter and Itô-Taylor expansion. J. Comput. Graph. Stat. 11(4), 972-995 (2002)
    • (2002) J. Comput. Graph. Stat. , vol.11 , Issue.4 , pp. 972-995
    • Singer, H.1
  • 18
    • 38349049508 scopus 로고    scopus 로고
    • Continuous-discrete unscented Kalman filtering
    • FernUniversität in Hagen
    • Singer, H.: Continuous-discrete unscented Kalman filtering. Diskussionsbeiträge Fachbereich Wirtschaftswissenschaft 384, FernUniversität in Hagen. http://www.fernuni-hagen.de/FBWIWI/ forschung/beitraege/pdf/db384.pdf (2006a)
    • (2006) Diskussionsbeiträge Fachbereich Wirtschaftswissenschaft 384
    • Singer, H.1
  • 19
    • 38349048561 scopus 로고    scopus 로고
    • Generalized Gauss-Hermite filtering for multivariate diffusion processes
    • FernUniversität in Hagen
    • Singer, H.: Generalized Gauss-Hermite filtering for multivariate diffusion processes. Diskussionsbeiträge Fachbereich Wirtschaftswissenschaft 402, FernUniversität in Hagen. http://www.fernuni-hagen.de/FBWIWI/forschung/beitraege/pdf/db402.pdf (2006b)
    • (2006) Diskussionsbeiträge Fachbereich Wirtschaftswissenschaft 402
    • Singer, H.1
  • 20
    • 33845310035 scopus 로고    scopus 로고
    • Moment equations and Hermite expansion for nonlinear stochastic differential equations with application to stock price models
    • Singer, H.: Moment equations and Hermite expansion for nonlinear stochastic differential equations with application to stock price models. Comput. Stat. 21(3), 385-397 (2006c)
    • (2006) Comput. Stat. , vol.21 , Issue.3 , pp. 385-397
    • Singer, H.1
  • 21
    • 85145127046 scopus 로고    scopus 로고
    • Stochastic differential equation models with sampled data
    • In: van Montfort, K., Oud, H., Satorra, A. (eds.) The European Association of Methodology (EAM) Methodology and Statistics Series, vol. II, pp. 73-106. Lawrence Erlbaum Associates, Mahwah
    • Singer, H.: Stochastic differential equation models with sampled data. In: Van Montfort, K., Oud, H., Satorra, A. (eds.) Longitudinal Models in the Behavioral and Related Sciences. The European Association of Methodology (EAM) Methodology and Statistics Series, vol. II, pp. 73-106. Lawrence Erlbaum Associates, Mahwah (2007)
    • (2007) Longitudinal Models in the Behavioral and Related Sciences
    • Singer, H.1
  • 22
    • 85173197389 scopus 로고
    • State estimation by orthogonal expansion of probability distributions
    • Srinivasan, K.: State estimation by orthogonal expansion of probability distributions. IEEE Trans. Autom. Control 15(1), 3-10 (1970)
    • (1970) IEEE Trans. Autom. Control , vol.15 , Issue.1 , pp. 3-10
    • Srinivasan, K.1
  • 23
    • 0030702235 scopus 로고    scopus 로고
    • An efficient radar tracking algorithm using multidimensional Gauss-Hermite quadratures
    • Tam, W., Hatzinakos, D.: An efficient radar tracking algorithm using multidimensional Gauss-Hermite quadratures. IEEE Int. Conf. Acoust. Speech Signal Process. 5, 3777-3780 (1997)
    • (1997) IEEE Int. Conf. Acoust. Speech Signal Process. , vol.5 , pp. 3777-3780
    • Tam, W.1    Hatzinakos, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.