This paper proposes an efficient method for the joint localization of sources and estimation of the covariance of their signals. In practice, such an estimation is useful to study correlated sources existing, for instance, in the presence of spatially distributed sources or reflections, but is confronted with the challenge of computational complexity due to a large number of required estimates. The proposed method is called covariance matrix fitting by orthogonal least squares. It is based on a greedy dictionary based approach exploiting the orthogonal least squares algorithm in order to reduce the computational complexity of the estimation. Compared to existing methods for sources correlation matrix estimation, its lower computational complexity allows one to deal with high dimensional problems (i.e., fine discretization of the source space) and to explore large regions of possible sources positions. As shown by numerical results, it is more accurate than existing methods and does not require the tuning of any regularization parameter. Experiments in an anechoic chamber involving correlated sources or reflectors show the ability of the method to locate and identify physical and mirror sources as well.
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December 2019
December 31 2019
Localization of sparse and coherent sources by orthogonal least squares
Special Collection:
Acoustic Localization
Gilles Chardon;
Gilles Chardon
a)
1
Université Paris-Saclay, CNRS, CentraleSupélec, Laboratoire des signaux et systèmes
, 91190 Gif-sur-Yvette, France
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François Ollivier;
François Ollivier
2
Sorbonne Université, CNRS, Institut Jean Le Rond d'Alembert, UMR 7190
, F-75005 Paris, France
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José Picheral
José Picheral
1
Université Paris-Saclay, CNRS, CentraleSupélec, Laboratoire des signaux et systèmes
, 91190 Gif-sur-Yvette, France
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Gilles Chardon
1,a)
François Ollivier
2
José Picheral
1
1
Université Paris-Saclay, CNRS, CentraleSupélec, Laboratoire des signaux et systèmes
, 91190 Gif-sur-Yvette, France
2
Sorbonne Université, CNRS, Institut Jean Le Rond d'Alembert, UMR 7190
, F-75005 Paris, France
a)
Electronic mail: [email protected]
J. Acoust. Soc. Am. 146, 4873–4882 (2019)
Article history
Received:
March 15 2019
Accepted:
September 03 2019
Citation
Gilles Chardon, François Ollivier, José Picheral; Localization of sparse and coherent sources by orthogonal least squares. J. Acoust. Soc. Am. 1 December 2019; 146 (6): 4873–4882. https://doi.org/10.1121/1.5138931
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