Abstract

In this paper, we address the source localization problem by using time difference of arrival (TDOA) and frequency difference of arrival (FDOA) measurements. The localization problem is formulated as a constrained weighted least-squares (CWLS) problem. Owing to the non-convex nature of the CWLS problem, it is difficult to obtain its global optimal solution. We iteratively perform a linearization procedure to the quadratic equality constraints to obtain a linear constrained quadratic optimization problem, which can be analytically solved. Simulation results show that the proposed iterative algorithm can converge to the optimal solution and achieves a significant performance improvement over the existing two step closed-form localization method.

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