Journal of Xidian University

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TDOA localization with linear-correction in the presence of sensor position errors

DENG Bing1,2;SUN Zhengbo2;YANG Le3;HE Qing2   

  1. (1. School of Information Systems Engineering, Information Engineering Univ., Zhengzhou 450002, China;
    2. National Key Lab. of Science and Technology on Blind Signal Processing, Chengdu 610041, China;
    3. School of Internet of Things (IoT) Engineering, Jiangnan Univ., Wuxi 214122, China)
  • Received:2016-06-15 Online:2017-08-20 Published:2017-09-29

Abstract:

This paper considers the problem of locating a source using time difference of arrival(TDOA) measurements obtained at spatially distributed sensors in the presence of sensor position errors. A linear-correction TDOA localization algorithm that involves closed-form weighted least squares(WLS) optimization only is developed. The proposed method first converts nonlinear TDOA equations into pseudo-linear ones by introducing an intermediate variable and obtains the initial source position estimate using the WLS technique. Then a linear-correction method is applied to improve the initial localization result by estimating and subtracting its positioning error. Simulation results demonstrate the good performance of the proposed method.

Key words: passive localization, time difference of arrival, sensor position error, weighted least squares estimation, Cramer-Rao lower bound