Abstract
The constrained total least squares algorithm for the passive location is presented based on the bearing-only measurements in this paper. By this algorithm the non-linear measurement equations are firstly transformed into linear equations and the effect of the measurement noise on the linear equation coefficients is analyzed, therefore the problem of the passive location can be considered as the problem of constrained total least squares, then the problem is changed into the optimized question without restraint which can be solved by the Newton algorithm, and finally the analysis of the location accuracy is given. The simulation results prove that the new algorithm is effective and practicable.
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References
Sun Z K, Zhou Y Y, He L X. Active/Passive Location Technology Based on Signal static/Multistatic (in Chinese). Beijing: National Defence Industry Press, 1996
Hu L Z. Passive Location (in Chinese). Beijing: National Defence Industry Press, 1996
He Y, Xiu J J. Survey of passive location methods. In: Proc Radar Academic Conference (in Chinese), 2002, 71–75
Qiu L, Shen Z K. LS-Kalman algorithm for passive target location and tracking with bearing-only measurements. Infrared Laser Eng, 2001, 30(2): 83–87
Foy W H. Position-location solutions by Taylor series estimation. IEEE Trans Aerosp Electron Syst, 1976, AES-12(3): 187–194
Abatzoglou T J, Mendel J M. Constrained total least squares. In: Proc 1987 IEEE ICASSP, TX: Dallas, 1987, 1485–1488
Abatzoglou T J, Mendel J M, Harada G A. The constrained total least squares technique and its applications to harmonic superresolution. IEEE Trans Signal Proc, 1991, SP-39: 1070–1087
Zhao R A, Wu F. Non-linear optimization theory and method (in Chinese). Hangzhou: Zhejiang Science and Technology Press, 1992
Zhang X D. Matrix Analysis and Application (in Chinese). Beijing: Qinghua University Press, 2004
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Wang, D., Zhang, L. & Wu, Y. Constrained total least squares algorithm for passive location based on bearing-only measurements. SCI CHINA SER F 50, 576–586 (2007). https://doi.org/10.1007/s11432-007-0023-8
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DOI: https://doi.org/10.1007/s11432-007-0023-8