A TSWLS-NM passive location method based on TDOA in case of four observers
A joint Two-Step Weighted Least Squares method and the Newton's Method(TSWLS-NM)algorithm is proposed to solve the 3D source localization in case of 4 observers based on Time Difference of Arrival(TDOA).A new location equation is established assuming that the auxiliary variables are known.The initial source position is estimated by solving the model with the TSWLS method in the case of 4 observers.Then the auxiliary variables are solved by Newton's Iterative Method to avoid the invalid solution.Finally,the source location estimation is further improved by error correction.Theoretical analysis and simulation results show that the proposed TSWLS-NM algorithm can achieve Cramer-Rao Lower Bound(CRLB)and is superior to both Taylor-series method and the direct rooting method in case of 4 observers.Meanwhile,the location accuracy of the proposed algorithm is better than the TSWLS method in case of 5 observers.
passive localizationtime difference of arrival(TDOA)two-step weighted least squares(TSWLS)Newton's method
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