High-degree spherical simplex-radial cubature quadrature Kalman filter
A high-degree spherica1 simp1ex-radia1 cubature quadrature Ka1man fi1ter（HDSSRCQKF）was proposed to improve the estimation accuracy of non1inear Ka1man fi1ter.The non1inear Gaussian weighted integra1 was decomposed into the spherica1 integra1 and radia1 integra1.These two integra1s were ca1cu1ated us...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2017-08-01
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| Series: | Tongxin xuebao |
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2017169/ |
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| author | Zhao-ming LI Wen-ge YANG Dan DING Yu-rong LIAO |
| author_facet | Zhao-ming LI Wen-ge YANG Dan DING Yu-rong LIAO |
| author_sort | Zhao-ming LI |
| collection | DOAJ |
| description | A high-degree spherica1 simp1ex-radia1 cubature quadrature Ka1man fi1ter（HDSSRCQKF）was proposed to improve the estimation accuracy of non1inear Ka1man fi1ter.The non1inear Gaussian weighted integra1 was decomposed into the spherica1 integra1 and radia1 integra1.These two integra1s were ca1cu1ated using the seventh-degree spherica1 simp1ex ru1e and the high-degree Gauss-Laguerre quadrature ru1e，respective1y，and resu1t in the high-degree spherica1 simp1ex-radia1 cubature quadrature ru1e，from which the genera1 computing method of the cubature points and corresponding weights were obtained.And then，the HDSSRCQKF was achieved under the non1inear Ka1man fi1tering framework using the above method.The numerica1 simu1ation resu1ts indicate that HDSSRCQKF has a higher accuracy compared to the existed high-degree cubature Ka1man fi1ter，that verifies the effectiveness of the proposed a1gorithm. |
| format | Article |
| id | doaj-art-da9c55a5ae8142b19fcaaa0adbdda6ee |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2017-08-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-da9c55a5ae8142b19fcaaa0adbdda6ee2025-01-14T07:12:47ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2017-08-013811111759711623High-degree spherical simplex-radial cubature quadrature Kalman filterZhao-ming LIWen-ge YANGDan DINGYu-rong LIAOA high-degree spherica1 simp1ex-radia1 cubature quadrature Ka1man fi1ter（HDSSRCQKF）was proposed to improve the estimation accuracy of non1inear Ka1man fi1ter.The non1inear Gaussian weighted integra1 was decomposed into the spherica1 integra1 and radia1 integra1.These two integra1s were ca1cu1ated using the seventh-degree spherica1 simp1ex ru1e and the high-degree Gauss-Laguerre quadrature ru1e，respective1y，and resu1t in the high-degree spherica1 simp1ex-radia1 cubature quadrature ru1e，from which the genera1 computing method of the cubature points and corresponding weights were obtained.And then，the HDSSRCQKF was achieved under the non1inear Ka1man fi1tering framework using the above method.The numerica1 simu1ation resu1ts indicate that HDSSRCQKF has a higher accuracy compared to the existed high-degree cubature Ka1man fi1ter，that verifies the effectiveness of the proposed a1gorithm.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2017169/cubature Ka1man fi1terGauss-Laguerre quadraturespherica1 simp1exnon1inear |
| spellingShingle | Zhao-ming LI Wen-ge YANG Dan DING Yu-rong LIAO High-degree spherical simplex-radial cubature quadrature Kalman filter Tongxin xuebao cubature Ka1man fi1ter Gauss-Laguerre quadrature spherica1 simp1ex non1inear |
| title | High-degree spherical simplex-radial cubature quadrature Kalman filter |
| title_full | High-degree spherical simplex-radial cubature quadrature Kalman filter |
| title_fullStr | High-degree spherical simplex-radial cubature quadrature Kalman filter |
| title_full_unstemmed | High-degree spherical simplex-radial cubature quadrature Kalman filter |
| title_short | High-degree spherical simplex-radial cubature quadrature Kalman filter |
| title_sort | high degree spherical simplex radial cubature quadrature kalman filter |
| topic | cubature Ka1man fi1ter Gauss-Laguerre quadrature spherica1 simp1ex non1inear |
| url | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2017169/ |
| work_keys_str_mv | AT zhaomingli highdegreesphericalsimplexradialcubaturequadraturekalmanfilter AT wengeyang highdegreesphericalsimplexradialcubaturequadraturekalmanfilter AT danding highdegreesphericalsimplexradialcubaturequadraturekalmanfilter AT yurongliao highdegreesphericalsimplexradialcubaturequadraturekalmanfilter |