Journal of Systems Engineering and Electronics ›› 2012, Vol. 34 ›› Issue (2): 221-226.doi: 10.3969/j.issn.1001-506X.2012.02.01

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Solution and analysis of constrained least square passive location algorithm

LI Chun 1,2, LIU Congfeng 3, LIAO Guisheng 1, LI Yanbin 2   

  1. 1. National Lab of Radar Signal Processing, Xidian University, Xi’an 710071, China；
    2. 54th Institute of China Electronics Technology Group Corporation, Shijiazhuang 050081, China;
    3. Institute of Electronic Countermeasure, Xidian University, Xi’an 710071, China
  • Online:2012-02-15 Published:2010-01-03

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Abstract:

In order to obtain the optimal Lagrange multiplier of the constrained least square passive location algorithm, a new method is proposed. With the detail analysis of the solving process of the optimization problem, the explicit formula for solving the Lagrange multiplier is obtained. At the same time, the formula is converted to an equivalent polynomial equation, and the coefficients are deduced. With detail simulation experiments, the performance of the least square location algorithms is analyzed, and the impact of the Lagrange multiplier selection is also analyzed. Moreover, the experiential selecting method is given, and the correctness and validness of the proposed algorithm are attested.

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