Title
Spherical Simplex-Radial Cubature Quadrature Kalman Filter.
Abstract
A spherical simplex-radial cubature quadrature Kalman filter (SSRCQKF) is proposed in order to further improve the nonlinear filtering accuracy. The Gaussian probability weighted integral of the nonlinear function is decomposed into spherical integral and radial integral, which are approximated by spherical simplex cubature rule and arbitrary order Gauss-Laguerre quadrature rule, respectively, and the novel spherical simplex-radial cubature quadrature rule is obtained. Combined with the Bayesian filtering framework, the general form and the specific form of SSRCQKF are put forward, and the numerical simulation results indicate that the proposed algorithm can achieve a higher filtering accuracy than CKF and SSRCKF.
Year
DOI
Venue
2017
10.1155/2017/7863875
JOURNAL OF ELECTRICAL AND COMPUTER ENGINEERING
Field
DocType
Volume
Gauss–Kronrod quadrature formula,Adaptive quadrature,Mathematical analysis,Numerical integration,Clenshaw–Curtis quadrature,Kalman filter,Quadrature (mathematics),Gauss–Jacobi quadrature,Gaussian quadrature,Mathematics
Journal
2017
ISSN
Citations 
PageRank 
2090-0147
1
0.36
References 
Authors
8
2
Name
Order
Citations
PageRank
Zhaoming Li1122.97
Yang, W.231.43