3D Single Source Localization Based on Euclidean Distance Matrices

Klaus Brümann; Simon Doclo

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arXiv · 2205.08960

3D Single Source Localization Based on Euclidean Distance Matrices

Klaus Brümann·Simon Doclo

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Abstract

A popular approach for 3D source localization using multiple microphones is the steered-response power method, where the source position is directly estimated by maximizing a function of three continuous position variables. Instead of directly estimating the source position, in this paper we propose an indirect, distance-based method for 3D source localization. Based on properties of Euclidean distance matrices (EDMs), we reformulate the 3D source localization problem as the minimization of a cost function of a single variable, namely the distance between the source and the reference microphone. Using the known microphone geometry and estimated time-differences of arrival (TDOAs) between the microphones, we show how the 3D source position can be computed based on this variable. In addition, instead of using a single TDOA estimate per microphone pair, we propose an extension that enables to select the most appropriate estimate from a set of candidate TDOA estimates, which is especially relevant in reverberant environments with strong early reflections. Experimental results for different source and microphone constellations show that the proposed EDM-based method consistently outperforms the steered-response power method, especially when the source is close to the microphones.

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BibTeX RIS

Klaus Brümann, Simon Doclo. 2022-05-18. 3D Single Source Localization Based on Euclidean Distance Matrices. https://arxiv.org/abs/2205.08960

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