An Efficient Estimator for TDOA-Based Source Localization With Minimum Number of Sensors

• Published in: IEEE communications letters Vol. 22; no. 12; pp. 2499 - 2502
• Main Authors: Amiri, Rouhollah, Behnia, Fereidoon, Noroozi, Ali
• Format: Journal Article
• Language: English
• Published: New York IEEE 01-12-2018; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Computer simulation; Covariance matrices; Cramer-Rao lower bound (CRLB); Estimation; Localization; Mathematical model; Noise measurement; Parameter estimation; Position measurement; Random noise; Sensors; source localization; State of the art; Time difference of arrival; time difference of arrival (TDOA); weighted least squares (WLS)
• ISSN: 1089-7798; 1558-2558
• DOI: 10.1109/LCOMM.2018.2876525

In this letter, the problem of source localization using time difference of arrival is investigated. Then, a closed-form two-stage solution is proposed based on estimation of the range nuisance parameter in the first stage and refinement of initial solution in the next stage. The proposed solution is shown analytically and verified by simulations to be an efficient estimate, which can attain the CRLB performance under mild Gaussian noise assumption. This method is able to locate the source with the minimum number of sensors required for <inline-formula> <tex-math notation="LaTeX">N </tex-math></inline-formula>-dimensional localization. Numerical simulations demonstrate significant performance improvement of the proposed method compared with the state-of-the-art algorithms and corroborate the theoretical developments.