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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2015, Vol. 36 ›› Issue (3): 979-986.doi: 10.7527/S1000-6893.2014.0317

• Electronics and Control • Previous Articles     Next Articles

Bias compensation algorithm based on maximum likelihood estimation for passive localization using TDOA and FDOA measurements

TDOA and FDOA measurements ZHOU Cheng, HUANG Gaoming, SHAN Hongchang, GAO Jun   

  1. College of Electronic Engineering, Naval University of Engineering, Wuhan 430033, China
  • Received:2014-09-09 Revised:2014-11-19 Online:2015-03-15 Published:2015-03-31
  • Supported by:

    National Natural Science Foundation of China(60901069), National High-tech Research and Development Program of China (2013AAXXXX061)

Abstract:

In the time differences/frequency differences of arrival (TDOA/FDOA) passive localization system, the nonlinear nature of the localization problem creates bias to a location estimate. When the measurement noise is large and the geolocation geometry is poor, the bias of localization is significant. In order to solve the problem, a novel bias compensation localization algorithm based on maximum likelihood estimation is proposed. The algorithm locates the target in three steps. Firstly, it starts by solving the target location using the maximum likelihood estimator. Secondly, using the estimated location and noisy data measurements, the theoretical bias of the target location estimate is derived in the second step. Finally, the bias compensated result is derived by subtracting theoretical bias from the maximum likelihood solution. Theoretical analysis and actual results verify that the theoretical bias of target position and velocity matches very well with simulation when the noise is small, and the bias compensation algorithm can reduce the bias effectively while keeping the same root mean square error (RMSE) with the original maximum likelihood algorithm, meanwhile the target localization performance is improved effectively.

Key words: passive localization, bias compensation, maximum likelihood estimation, time differences of arrival, frequency differences of arrival

CLC Number: