Spherical Simplex-Radial Cubature Quadrature Kalman Filter
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 s...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
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| Series: | Journal of Electrical and Computer Engineering |
| Online Access: | http://dx.doi.org/10.1155/2017/7863875 |
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| _version_ | 1832566489924763648 |
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| author | Zhaoming Li Wenge Yang |
| author_facet | Zhaoming Li Wenge Yang |
| author_sort | Zhaoming Li |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-88215d3464e042369bea800bbc205cb8 |
| institution | Kabale University |
| issn | 2090-0147 2090-0155 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Electrical and Computer Engineering |
| spelling | doaj-art-88215d3464e042369bea800bbc205cb82025-02-03T01:04:02ZengWileyJournal of Electrical and Computer Engineering2090-01472090-01552017-01-01201710.1155/2017/78638757863875Spherical Simplex-Radial Cubature Quadrature Kalman FilterZhaoming Li0Wenge Yang1Company of Postgraduate Management, Academy of Equipment, Beijing 101416, ChinaDepartment of Optical and Electrical Equipment, Academy of Equipment, Beijing 101416, ChinaA 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.http://dx.doi.org/10.1155/2017/7863875 |
| spellingShingle | Zhaoming Li Wenge Yang Spherical Simplex-Radial Cubature Quadrature Kalman Filter Journal of Electrical and Computer Engineering |
| title | Spherical Simplex-Radial Cubature Quadrature Kalman Filter |
| title_full | Spherical Simplex-Radial Cubature Quadrature Kalman Filter |
| title_fullStr | Spherical Simplex-Radial Cubature Quadrature Kalman Filter |
| title_full_unstemmed | Spherical Simplex-Radial Cubature Quadrature Kalman Filter |
| title_short | Spherical Simplex-Radial Cubature Quadrature Kalman Filter |
| title_sort | spherical simplex radial cubature quadrature kalman filter |
| url | http://dx.doi.org/10.1155/2017/7863875 |
| work_keys_str_mv | AT zhaomingli sphericalsimplexradialcubaturequadraturekalmanfilter AT wengeyang sphericalsimplexradialcubaturequadraturekalmanfilter |