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Localization of Multiple Disjoint Targets Using Time Difference of Arrival Measurements*

This paper addresses the localization problem for multiple disjoint targets using noisy time difference of arrival measurements in wireless sensor networks. In comparison with the classic two step weighted least squares method which firstly ignores the non-linear relation between each auxiliary variable and the corresponding target, the proposed method follows the weighted least squares strategy but takes these relationships as non-linear constraints in the formulation. An iterative approximate procedure is proposed to solve it efficiently. The Monte Carlo numerical simulation results demonstrate the good localization performance of the proposed method.