Bayesian nonlinear filtering using quadrature and cubature rules applied to sensor data fusion for positioning

IEEE International Conference on Communications

Volumn , Issue , 2010, Pages

  Fernández Prades, Carles ^a   Vilà Valls, Jordi ^b  

^a CENTRE TECNOLÒGIC DE TELECOMUNICACIONS DE CATALUNYA CTTC   (Spain)

^b GIPSA LAB   (France)

Author keywords

Bayesian estimation; Cubature rules; Gauss Hermite quadrature; Nonlinear filtering; Positioning; Sensor data fusion; Square root filters

Indexed keywords

BAYESIAN; BAYESIAN ESTIMATIONS; COMPUTATIONAL LOADS; CUBATURE RULES; DEGREE OF ACCURACY; DERIVATIVE-FREE ALGORITHM; GAUSS-HERMITE QUADRATURE; GAUSSIAN ASSUMPTION; GAUSSIANS; HETEROGENEOUS SENSORS; INERTIAL MEASUREMENT UNIT; MOTION MODELS; NONLINEAR ESTIMATOR; NONLINEAR FILTER; NUMERICAL INTEGRATIONS; NUMERICAL STABILITIES; ORDERS OF MAGNITUDE; PERFORMANCE IMPROVEMENTS; SEQUENTIAL MONTE CARLO METHODS; SQUARE-ROOT; UNSCENTED KALMAN FILTER;

APPROXIMATION ALGORITHMS; BAYESIAN NETWORKS; BEARINGS (MACHINE PARTS); CONVERGENCE OF NUMERICAL METHODS; ESTIMATION; GAUSSIAN DISTRIBUTION; INFORMATION FUSION; INTEGRATION; KALMAN FILTERS; MONTE CARLO METHODS; NONLINEAR ANALYSIS; NONLINEAR FILTERING; SENSORS; UNITS OF MEASUREMENT;

SENSOR DATA FUSION;

EID: 77955379183     PISSN: 05361486     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICC.2010.5502587     Document Type: Conference Paper

References (12)

1. I. Arasaratnam, S. Haykin, and R. J. Elliot, "Discrete-time nonlinear filtering algorithms using gauss-hermite quadrature," Proc. of the IEEE, vol. 95, no. 5, pp. 953-977, 2007.
2. I. Arasaratnam and S. Haykin, "Cubature Kalman Filters," IEEE Trans. Automatic Control, vol. 54, no. 6, pp. 1254-1269, June 2009.
3. A. Doucet, N. de Freitas, and N. Gordon, Eds., Sequential Monte Carlo in Practice, Springer, 2001.
4. R. Van der Merwe, E. A. Wan, and S. J. Julier, "Sigma-Point Kalman filters for nonlinear estimation and sensor-fusion: Applications to integrated navigation," in Proc. of the AIAA GNCC, Providence, RI, August 2004.
5. K. Ito and K. Xiong, "Gaussian filters for nonlinear filtering problems," IEEE Trans. on Automatic Control, vol. 45, no. 5, pp. 910-927, May 2000.
6. G. H. Golub, "Some modified matrix eigenvalue problems," SIAM Rev., vol. 15, no. 2, pp. 318-334, April 1973.
7. A. H. Stroud, Approximate calculation of multiple integrals, Prentice-Hall, Englewood Cliffs, NJ, 1971.
8. S. J. Julier and J. K. Uhlmann, "A new extension of the Kalman filter to nonlinear systems," in Proc. of the Int. Symp. ADSSC, 1997, vol. 3.
9. J. E. Potter and R. G. Stern and, "Statistical filtering of space navigation measurements," in Proc. of the AIAA GNCC, Cambridge, MA, August 1963.
10. R. Van der Merwe and E. A. Wan, "The square-root unscented Kalman filter for state and parameter estimation," in Proc. of ICASSP'01, Salt Lake City, UT, May 2001, vol. 6, pp. 3461-3464.
11. I. Arasaratnam and S. Haykin, "Square-Root Quadrature Kalman Filtering," IEEE Trans. on Signal Processing, vol. 56, no. 6, pp. 2589-2593, June 2008.
12. S. Godsill, J. Vermaak, W. Ng, and J. Li, "Models and algorithms for tracking of maneuvering objects using variable rate particle filters," Proceedings of the IEEE, vol. 950, no. 5, pp. 925-952, May 2007.