- 3D Single Supply Localization Based mostly on Euclidean Distance Matrices(arXiv)
Authors: Klaus Brümann, Simon Doclo
Summary: A well-liked method for 3D supply localization utilizing a number of microphones is the steered-response energy technique, the place the supply place is instantly estimated by maximizing a operate of three steady place variables. As an alternative of instantly estimating the supply place, on this paper we suggest an oblique, distance-based technique for 3D supply localization. Based mostly on properties of Euclidean distance matrices (EDMs), we reformulate the 3D supply localization downside because the minimization of a value operate of a single variable, specifically the gap between the supply and the reference microphone. Utilizing the identified microphone geometry and estimated time-differences of arrival (TDOAs) between the microphones, we present how the 3D supply place may be computed primarily based on this variable. As well as, as an alternative of utilizing a single TDOA estimate per microphone pair, we suggest an extension that permits to pick out essentially the most applicable estimate from a set of candidate TDOA estimates, which is very related in reverberant environments with sturdy early reflections. Experimental outcomes for various supply and microphone constellations present that the proposed EDM-based technique constantly outperforms the steered-response energy technique, particularly when the supply is near the microphones