Abstract
The purpose of this study is to localize instantaneously and to track sound source using circular array. Localization is done using a novel explicit inversion formula of direction and distance of a monopole source [S. Ando, ASA Seattle Meeting, 2011]. This method consists in applying the weighted integral method (IEEE Trans. SP, 57, 9, 2009, Inverse Problems, 26, 015011, 2010) on a partial differential equation (PDE) satisfied by the sound wave. In this study, we consider the location-constraint PDE (ASA/ASJ meeting, 2006) that describes the unilateral propagation of wide-band waves from a single source. We also take into account reverberation in this study by using a simplistic model of room reverberation. In the experiments, loci of instantaneous localization results are displayed on a motion image captured by a TV camera mounted on the 16-element circular array. Several experimental results are shown to demonstrate time-resolved localization capability of a multiply reflected source. Some theoretical a...
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