Performance Analysis and Improvement for TDOA Source Localization in the Presence of Synchronization Clock Bias
WANG Ding1,2, YIN Jie-xin1,2, LIU Rui-rui1,2, ZHANG Bo-long3
1. Institute of Information System Engineering, PLA Information Engineering University, Zhengzhou, Henan 450001, China;
2. National Digital Switching System Engineering & Technological Research Center, Zhengzhou, Henan 450002, China;
3. Military Economic Academy, Wuhan, Hubei 430035, China
Abstract:Synchronization clock bias can significantly increase the localization errors.In order to solve this problem,this paper presents theoretical analysis and the improved method.First,the Cramér-Rao bound(CRB) on the parameter estimation is shown in the presence of synchronization clock bias.A more compact CRB expression for the source position estimation is obtained.Based on the maximum likelihood(ML)criterion and the Taylor series(TS) localization method,an analytical expression for the mean square error(MSE) of the source position estimation is also derived when the estimator assumes the clock bias does not exist.Subsequently,the localization method based on dimension-reduction TS iteration is presented and the closed-form ML solution for the clock bias is also given.Finally,numerical experimental results support the validation of the theoretical analysis,and also demonstrate that the proposed method can mitigate the effects of clock bias.
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