J4 ›› 2014, Vol. 41 ›› Issue (5): 36-41.doi: 10.3969/j.issn.1001-2400.2014.05.007

• Original Articles • Previous Articles     Next Articles

TDOA location algorithm based on modified Newton iterations

ZHU Guohui;FENG Dazheng;LI Jin;ZHOU Yan   

  1. (National Key Lab. of Radar Signal Processing, Xidian Univ., Xi'an  710071, China)
  • Received:2013-06-24 Online:2014-10-20 Published:2014-11-27
  • Contact: ZHU Guohui E-mail:zhugh@stu.xidian.edu.cn

Abstract:

For the divergence problem of traditional iterative process based location algorithms, a new modified Newton algorithm for the passive location from time differences of arrival (TDOA) is proposed. The proposed algorithm firstly reorganizes the nonlinear TDOA equations into pseudo-linear ones by using an auxiliary parameter, and a constrained weighted least-squares minimization is developed for the positioning problem instead of the Maximum Likelihood estimator. A modified Newton method based on eigenvalue modification is then applied to obtain the emitter position. In order to reduce the number of iterations, an appropriate iteration step size is computed via one-dimensional optimization by the quadratic interpolation method. Simulation results demonstrate the effectiveness of the proposed algorithm.

Key words: passive location, time difference of arrival, weighted least squares estimates, modified Newton algorithm, quadratic interpolation method

CLC Number: 

  • TN97

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