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Non-Equal-Weighted Maximum Correntropy Filtering Algorithm for the GNSS/SINS Integrated Navigation System
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Siming LIU1, Xueyuan LIN2, Yuxin QIAO1, *
Journal of Geodesy and Geodynamics | 2026, 46(7) : 816 - 824
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Journal of Geodesy and Geodynamics | 2026, 46(7): 816-824
Non-Equal-Weighted Maximum Correntropy Filtering Algorithm for the GNSS/SINS Integrated Navigation System
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Siming LIU1, Xueyuan LIN2, Yuxin QIAO1, *
Affiliations
  • 1 College of Intelligent Science and Engineering, Yantai Nanshan University, Yantai 265713, China
  • 2 School of Artificial Intelligence, Shandong Vocational University of Foreign Affairs, Weihai 264500, China
Published: 2026-07-15 doi: 10.14075/j.jgg.2025.11.399
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In the maximum correntropy Kalman filter based on equal weighting (MCKF), since the error samples with different qualities are weighted equally, it affects the filtering accuracy of the GNSS/SINS integrated navigation system based on MCKF. To solve this problem, a non-equal-weighted maximum correntropy Kalman filter (NWMCKF) is proposed. Firstly, based on the equal weighting maximum correntropy criterion (MCC), a non-equal-weighted maximum correntropy criterion (NWMCC) is proposed to reduce the adverse effects caused by MCC applying the same weight to all error samples. Then, based on NWMCC, the algorithm equation of NWMCKF is derived, and the fixed-point iterative recursive algorithm flow of NWMCKF is given. Finally, experiments on the GNSS/SINS integrated navigation system based on KF, MCKF and NWMCKF are carried out for verification. The experimental results show that when the measurement noise is Gaussian noise, the filtering performance of NWMCKF is slightly better than that of MCKF; when the measurement noise is non-Gaussian noise, the filtering performance of NWMCKF is significantly better than that of MCKF.

non-equal-weighted maximum correlation entropy criterion(NWMCC)  /  non-equal-weighted maximum correlation entropy Kalman filter(NWMCKF)  /  integrated navigation  /  fixed-point iterative recursive algorithm
刘思明, 林雪原, 乔玉新. GNSS/SINS组合导航系统的非等加权最大相关熵滤波算法. 大地测量与地球动力学, 2026 , 46 (7) : 816 -824 . DOI: 10.14075/j.jgg.2025.11.399
Siming LIU, Xueyuan LIN, Yuxin QIAO. Non-Equal-Weighted Maximum Correntropy Filtering Algorithm for the GNSS/SINS Integrated Navigation System[J]. Journal of Geodesy and Geodynamics, 2026 , 46 (7) : 816 -824 . DOI: 10.14075/j.jgg.2025.11.399
Year 2026 volume 46 Issue 7
34
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doi: 10.14075/j.jgg.2025.11.399
  • Receive Date:2025-11-20
  • Online Date:2026-10-30
  • Published:2026-07-15
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  • Received:2025-11-20
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    1 College of Intelligent Science and Engineering, Yantai Nanshan University, Yantai 265713, China
    2 School of Artificial Intelligence, Shandong Vocational University of Foreign Affairs, Weihai 264500, China
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表12种不同金属材料的力学参数
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Family
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Number of
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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