volume | PIER Journals

Abstract

For the tracking problem of moving targets by small-scale platforms, this paper firstly proposed a ship target tracking model with joint electromagnetic signals based on point charge theory and point magnetic charge theory. Then, the target tracking was simulated and verified with the progressive update extended Kalman filter algorithm as the filtering unit and the small-scale platform as the sensor-carrying platform. Finally, the laboratory model validation was carried out, and the simulated source experiment and ship model experiment were conducted respectively. The simulation results show that the tracking method with the joint electromagnetic signal can achieve the tracking error less than 5 m in the range of 6 times the ship length. The results of the model experiments further verify the simulation results. When the signal-to-noise ratio is only 5, it can also achieve at least 2 times the ship's length of tracking, which can effectively solve the problem of poor tracking caused by the small size of the sensor carrying platform and the small number of sensors.

1. Cheng, J. F. and S. G. Gong, "Analysis of firing criteria of electric field fuse," Journal of Naval University of Engineering, Vol. 15, No. 4, 2003. Google Scholar

2. Luo, Y., Q.-M. Li, and H.-Y. He, "Study on electric field detection of ship based on character of gradient," International Conference on Consumer Electronics, IEEE, Jiangxi, China, 2011. Google Scholar

3. Wu, C. Q. and S. Zhao, "Study on the localization of the electric dipole sources," Acta Physica Sinica, Vol. 56, No. 9, 5180-5184, 2007.
doi:10.7498/aps.56.5180 Google Scholar

4. Zhao, S. and C. Wu, "Matrix analysis of poly-dipole source localization," Journal of Beijing Jiaotong University, Vol. 32, No. 3, 56-59, 2008. Google Scholar

5. Bao, Z. H., S. G. Gong, J. Y. Sun, et al. "Localization of a horizontal electric dipole source embedded in deep sea by using two vector-sensors," Journal of Naval University of Engineering, Vol. 23, No. 3, 2011. Google Scholar

6. Wang, X., "Target localization based on two particular electric-field planes," Chinese Journal of Ship Research, Vol. 9, No. 4, 104-108, 2014. Google Scholar

7. Yu, P., J. Cheng, and J. Zhang, "Ship target tracking using underwater electric field," Progress In Electromagnetics Research M, Vol. 86, 49-57, 2019.
doi:10.2528/PIERM19052001 Google Scholar

8. Donati, R. and J. P. Le Cadre, "Detection of oceanic electric fields based on the generalized likelihood ratio test (GLRT)," IEEE Proceedings --- Radar, Sonar and Navigation, Vol. 149, No. 5, 221-230, 2002.
doi:10.1049/ip-rsn:20020491 Google Scholar

9. Zhang, J. W., R. X. Jiang, D. W. Xiao, et al. "Ship tracking based on the difference of electric potential," Journal of Harbin Engineering University, Vol. 41, No. 06, 812-816+831, 2020. Google Scholar

10. Wynn, W. M., C. P. Frahm, P. J. Carroll, et al. "Advanced superconducting gradiometer/Magnetometer arrays and a novel signal processing technique," IEEE Transactions on Magnetics, Vol. 11, No. 2, 701-707, 1975.
doi:10.1109/TMAG.1975.1058672 Google Scholar

11. Wynn, W. M., "Magnetic dipole localization using the gradient rate tensor measured by a five-axis magnetic gradiometer with known velocity," Proceedings of SPIE --- The International Society for Optical Engineering, Vol. 2496, 357-367, 1995. Google Scholar

12. Wahlström, N., J. Callmer, and F. Gustafsson, "Magnetometers for tracking metallic targets," Information Fusion Conference, IEEE, New York, 2011. Google Scholar

13. Birsan, M., "Electromagnetic source localization in shallow waters using Bayesian matched-field inversion," Inverse Problems, Vol. 22, No. 1, 43, 2005.
doi:10.1088/0266-5611/22/1/003 Google Scholar

14. Wilson, M. A., S. A. Mccarthy, P. J. Collin, et al. "Alkene transformations catalysed by mineral matter during oil shale pyrolysis," Organic Geochemistry, Vol. 9, No. 5, 245-253, 1986.
doi:10.1016/0146-6380(86)90097-5 Google Scholar

15. Emerson, D. W., D. A. Clark, and S. J. Saul, "Magnetic exploration models incorporating remanence, demagnetization and anisotropy: HP 41C handheld computer algorithms," Exploration Geophysics, Vol. 16, No. 1, 1-122, 1985.
doi:10.1071/EG985001 Google Scholar

16. Wang, J. G., C. S. Lin, and S. G. Gong, "Algorithm of locating magnetic objects based on neural networks," Journal of the Naval Academy of Engineering, 2000. Google Scholar

17. Wang, J. G. and S. G. Gong, "Research on the problem of localizing magnetic target based on motion scalar magnetometer," Acta Electronica Sinica, Vol. 30, No. 7, 1057-1060, 2002. Google Scholar

18. Wu, Y. and Y. Sun, "Magnetic dipole target tracking based on recursive update Kalman filter," Journal of Bjing University of Aeronautics and Astronautics, Vol. 43, No. 9, 1805-1812, 2017. Google Scholar

19. Shan, S., S. H. Zhou, Z. H. Dai, and H. X. Zhang, "Strong tracking progressive update extended Kalman filter and its application in magnetic dipole tracking," Journal of Naval University of Engineering, Vol. 34, No. 01, 105-112, 202. Google Scholar

20. Wang, K. R., Y. D. Zhang, and Y. H. Liu, "Research on target organ motion tracking method based on the fusion of inertial navigation and electromagnetic navigation," Journal of Instruments and Meters, Vol. 9, No. 11, 177-187, 2020. Google Scholar

21. Guo, J. Q. and Y. P. Zhao, "A method of electromagnetic parameter selection for ray-tracing channel simulation," Journal of Radio Wave Science, Vol. 37, No. 01, 99-105, 2022. Google Scholar

22. Xing, K., "Application of tracking detection with transient electromagnetic method in driving roadways," Shanxi Coal, 2017. Google Scholar

23. Guo, C. B. and Q. Q. Yin, "Magnetic monopole array model for modeling ship magnetic signatures," Acta Physica Sinica, Vol. 68, No. 11, 114101, 2019.
doi:10.7498/aps.68.20190201 Google Scholar

24. Zanetti, R., "Adaptable recursive update filter," Journal of Guidance, Control, & Dynamics, Vol. 38, No. 7, 1295-1300, 2015.
doi:10.2514/1.G001031 Google Scholar

25. Huang, Y. L., Y. G. Zhang, N. Li, et al. "Gaussian approximate filter with progressive measurement update," Proceedings of the 54th Annual Conference on Decision and Control, 4344-4349, IEEE, Osaka, Japan, 2015. Google Scholar

26. Zhang, J. W., P. Yu, R. X. Jiang, and B. Q. Sun, "Research on target tracking method based on ship electric field," Journal of Military Engineering, Vol. 41, No. 03, 559-566, 2020. Google Scholar

27. Jiang, R. X., X. G. Chen, and J. W. Zhang, Ship Electric Fields and Their Applications, Defense Industry Press, 2021.

28. Liu, J. S. and S. J. Rong, "Calculation of magnetic charges in equivalent transformation between molecular current and magnetic dipole," Journal of Liaoning Normal University (Natural Science Edition), 2003. Google Scholar

29. Yu, P., J. W. Zhang, J. F. Cheng, et al. "Analysis of the natural electric field at different sea depths," Journal of Instrumentation, Vol. 16, No. 1, P01006-P01006, 2021.
doi:10.1088/1748-0221/16/01/P01006 Google Scholar

30. Zhao, H., Y. G. Li, S. M. Duan, and Z. H. Xu, "Characterization of the response of seawater motion induced magnetic field to typhoon," Journal of Ocean University of China (Natural Science Edition), 1-8, April 20, 2022. Google Scholar

Dr. Qi Liu

Dr. Zhaolong Sun

Dr. Run Xiang Jiang

Dr. Jiawei Zhang

Dr. Kui Zhu