ALGEBRAIC SOLUTION FOR TDOA LOCALIZATION IN MODIFIED POLAR REPRESENTATION

Time difference of arrival (TDOA) point positioning in the Cartesian coordinates is practical for a near-field source, and it will suffer from the thresholding effect when the source is in the far-field where only direction of arrival (DOA) can be obtained. Localization in the modified polar representation (MPR) is able to alleviate this problem, where point positioning and DOA estimation are unified into a single framework. The state-of-the-art literature only has an iterative realization of the maximum likelihood estimator (MLE) for this problem. This paper develops an algebraic closed-form positioning solution for MPR. The proposed algorithm avoids the initialization issue and is much more computationally efficient than the MLE with comparable accuracy. Simulation results validate the advocated performance.