Abstract
In the measuring system of modern shooting ranges, numerical differentiation, which is key to the process of external ballistic measurement determination of carrier rockets, must be adopted for calculating kinematic velocity and acceleration parameters of carrier rockets by means of optical and radar measurement data. As existing numerical differentiation is not steady enough, the loss function is improved by fitting differential algorithm and this paper establishes a new steady fault-tolerant numerical differentiation with relatively high accuracy and fault-tolerant ability, so as to improve and enrich high-accuracy external ballistic measurement computing technology. The simulation results show that new numerical differentiation technique has high accuracy and practical engineering value.
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References
Liu LS (2002) External-ballistic measurement data processing. National Defense Industry Press, Beijing, pp 270–366
Wang ZM (1999) Calibration and assessment of ballistic tracking data. The Press of National University of Defense Technology, Changsha, pp 186–271
Wang ZM, Yi DY (1996) Measurement data modeling and parameter estimation. The Press of National University of Defense Technology, Changsha, pp 310–322
Hu F, Sun GJ (2000) The fault-tolerant smoothing and fault-tolerant differential smoothing based on multinomial fitting. Chinese J Eng Math 17(2):53–57
Hu SL, Sun GJ (1999) The statistical diagnosis technology regarding outliers of external-ballistic measurement data in shooting ranges. J Astronaut 20(2):68–74
Matassini L, Kantz H (2002) Optimizing of recurrence plots for noise reduction. Phys Rev E 65(2):1–6
Gao C, Qiao YF (2007) Real time error correction method for photoelectrical theodolite. Opt Precis Eng 15(6):846–851
Hu SL, Xu AH, Guo XH (2007) Technic of pulse radar tracking and measurement data processing. National Defense Industry Press, Beijing, pp 168–171
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Chai, M., Wang, M., Nie, T., Shen, S. (2015). The New Numerical Differentiation for Ballistic Determination. In: Shen, R., Qian, W. (eds) Proceedings of the 27th Conference of Spacecraft TT&C Technology in China. Lecture Notes in Electrical Engineering, vol 323. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44687-4_26
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DOI: https://doi.org/10.1007/978-3-662-44687-4_26
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