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  • Nonlinear Estimation

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    2 Literature review on quadrature based nonlinear estimation (cont'd...)

    Reference

    [Arasaratnam 2007] I. Arasaratnam, S Haykin and R. Elliott, "Discrete-time nonlinear filtering algorithms using Gauss-Hermite quadrature", Proceedings of the IEEE, vol. 95, no. 5, pp. 953-977, May 2007.

    [Golub 1969] G.H. Golub and C.F. Van Loan,: "Calculation of Gauss quadrature rule" , maths. comput., vol. 23, no. 106, pp. 221-230, 1969.

    [Chalasani 2012] G Chalasani and S Bhaumik, "Bearing only tracking using Gauss-Hermite filter", Proceedings, IEEE conference on Industrial Electronics and Applications (ICIEA), pp. 1549-1554, 2012.

    [Singh 2013] A. K. singh snd S. Bhaumik, "Nonlinear estimation using transformed Gauss-Hermite quadrature points", IEEE intern. conf. signal process., comput. control, Solan, India, pp. 1-4, 2013.

    [Singer 2006] H. Singer, "Generalized Gauss-hermite filtering", FernUniversitat, Hagen, May 3, 2006.

    [Gerstner 1998] T. Gerstner and M. Griebel, "Numerical ingegration using sparse grids", Numerical algorithms, Springer, Vol. 18, Issue 3-4, pp. 209-232, 1998.

    [Heiss 2008] F. Heiss and V. Winschel "Likelihood approximation by numerical integration on sparse grids", Jr. Econ., vol. 144,no. 1, pp. 6280 , May 2008.

    [Smolyak 1963] S.A. Smolyak., "Quadrature and interpolation formulas for tensor products of certain classes of functions," Soviet Mathematics Doklady, vol. 4, pp. 240- 243, 1963.

    [Balaji 2008] Balaji and Damini, "Sparse tensors and discrete-time nonlinear filtering, IEEE Radar Conference, Canada, 2008.

    [Bungartz 2004] Bungartz, H. Joachim, and M. Griebel, "Sparse grids", Acta Numerica, Vol. 13, pp. 147269, 2004.

    [Wasilkowski 1995] Wasilkowski, W. Grzegorz and H. Wozniakowski, "Explicit cost bounds of algorithms for multivariate tensor product problems", Journal of Complexity, Vol. 8, pp. 337392, 1995.

    [Jia 2012a] B. Jia, M Xin and Y. Chen, "Sparse-grid quadrature nonlinear filtering", Automatica, vol. 48, no. 2, pp. 327-341, Feb. 2012.

    [Jia 2012b] B. Jia, M Xin and Y. Chen, "Comparison of the sparse-grid quadrature rule and the cubature rule in nonlinear filtering", 51st IEEE conference on decision and control, pp. 6022-6027, Dec. 2012.

    [Jia 2010] B. Jia,MXin and Y. Chen, "Sparse gauss-hermite quadrature filter for spacecraft altitude estimation", American control conference, June 2010. 27

    [Jia 2012c] B. Jia, M. Xin and Y. Chen, "Vision-based spacecraft relative navigation using the sparse gauss-hermite quadrature filter", American control conference, June 2012.

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