Abstract
The existing literatures usually adopt the linear method to obtain the location error which is usually evaluated by geometrical dilution of precision (GDOP) in nonlinear passive location systems. However, the linear method is not always suitable in any condition, and the obtained GDOP may deviate the true values of location errors severely when the location system is of severe nonlinearity. Thus, a new nonlinear method for the calculation of location Error based on unscented transformation (UT) is proposed and verified in this paper.
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References
Xu HL (1998) Study on TDOA passive accuracy location of three stations. Electron Warf Technol 13(1):15–23
Sharp I, Yu K, Guo YJ (2009) GDOP analysis for positioning system design. IEEE Trans Veh Technol 58(7):3371–3382
Wang Z, Zhang J (2007) Analysis and simulations of GDOP in the location of GPS. Proc SPIE 6795:679572
Xiu JJ, He Y, Wang GH, Xiu JH (2005) Constellation of multisensors in bearing-only location system. IEE Proc-Radar Sonar Navig 152(3):215–218
Trasi K (2007) Localization algorithms for passive targets in radar networks. Master thesis, the University of Texas at Arlington
Beck A, Stocia P, Li J (2008) Exact and approximate solutions of source localization problems. IEEE Trans Signal Process 56(5):1770–1778
Julier S, Uhlmann J, Durrant-Whyte H (1995) A new approach for filtering nonlinear systems. In: Proceedings of American control conference, Seattle, WA, pp 1628–1632
Wan EA, vander Merwe R Nelson AT (2000) Dual estimation and the unscented transformation. Adv Neural Inf Process Syst 12:666–672
Julier SJ, Uhlmann J, Durrant-Whyte HF (2000) A new method for the nonlinear transformation of means and covariances in filters and estimators. IEEE Trans Autom Control 45(3):477–482
Lefebvre T, Bruyninckx H, De-Schutter J (2002) Comment on a new method for the nonlinear transformation of means and covariances in filters and estimators. IEEE Trans Autom Control 47(8)
Julier SJ (2002) The scaled unscented transformation. In: Proceedings of the American control conference, Anchorage, AK, 8–10 May 2002
Julier SJ (2003) The spherical simplex unscented transformation. In: Proceedings of the American control conference, Denver, CO, 4–6 June 2003
St-Pierre M, Gingras D (2004) Comparison between the unscented Kalman filter and the extended Kalman filter for the position estimation module of an integrated navigation information system. In: 2004 IEEE intelligent vehicles symposium, University of Parma, Parma, Italy, 14–17 June 2004
Acknowledgements
This work is supported by the National Natural Science Foundation of China (61671462, 61731023, and 61501489) and Special Foundation Program for Mountain Tai Scholars.
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Tan, S., Wang, G., Guan, C., Yu, H., Li, S., Cao, Q. (2020). A New Nonlinear Method for Calculating the Error of Passive Location. In: Liang, Q., Wang, W., Liu, X., Na, Z., Jia, M., Zhang, B. (eds) Communications, Signal Processing, and Systems. CSPS 2019. Lecture Notes in Electrical Engineering, vol 571. Springer, Singapore. https://doi.org/10.1007/978-981-13-9409-6_73
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DOI: https://doi.org/10.1007/978-981-13-9409-6_73
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