MULTIDIMENSIONAL SCALING-BASED TDOA LOCALIZATION IN MODIFIED POLAR REPRESENTATION

Multidimensional scaling (MDS) is an attractive method for locationrelated applications due to its robustness against noise. This paper applies MDS to time difference of arrival (TDOA) localization in the modified polar representation (MPR) for integrating near-field and far-field localizations. The new MDS formulation yields a constrained optimization problem in terms of the source position. We then propose a computationally efficient and noise robust solution to solve this problem. The solution is closed-form and asymptotically unbiased. It can achieve better mean-square error (MSE) in the large noise region and possibly lower bias than the closed-form solutions from the literature, and also has attractive complexity.