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Autre Publication Scientifique Année : 2015

Model selection in inverse acoustic problems

Résumé

Whatever the inverse problem dealt with in engineering, there is a need of model description, which gives the behaviour of the direct problem. Unfortunately this model is not perfectly known and therefore the question of model selection is raised. We focus here in inverse acoustic problems such as holography, beamforming, tomography, etc. They are based on a propagation model, chosen a priori, and on some measurements of acoustic pressure. Supposing different kinds of propagation models, the aim of this work is thus to find the best one i.e., the model which fits the measurements at best. The geometrical interpretation of inverse problems gives a tool to obtain a classification. Indeed, this tool gives access to a cost function under the form of an angle between the measured pressure and the nearest pressure that the chosen model is able to generate, both pressure fields being considered as vectors. The model ranking is carried on well and on ill-conditioned models without and with parameters adaptation like sound speed, source orientations, etc. It appears that, despite all the unknowns, the models can still be classified by the geometrical tool.
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Dates et versions

hal-01165113 , version 1 (18-06-2015)

Identifiants

  • HAL Id : hal-01165113 , version 1

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Mathilde Griveaux, Vincent Martin. Model selection in inverse acoustic problems. 2015. ⟨hal-01165113⟩
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