Sensitivity analysis of two inverse methods: Beamforming and Bayesian focusing

L Gilquin (1) , Simon Bouley (1) , J. Antoni (1) , T. Le Magueresse (2) , C. Marteau (3)

1 LVA - Laboratoire Vibrations Acoustique
2 MicrodB
3 PSPM - Probabilités, statistique, physique mathématique

The characterization of acoustic sources typically involves the retro-propagation of the acoustic field measured with a microphone array to a mesh of the surface of interest, which amounts to solve an inverse problem. Such an inverse problem is built on the basis of a forward model prone to uncertainties arising from mismatches with the physics of the experiment. Assessing the effects of these unavoidable uncertainties on the resolution of the inverse problem represents a challenge. The present paper introduces a practical solution to measure these effects by conducting a sensitivity analysis. The latter provides a mean to identify and rank the main sources of uncertainty through the estimation of sensitivity indices. Two inverse methods are investigated through the sensitivity analysis: Beamforming and Bayesian focusing. The propagation of uncertainties is carried on numerically. The consistency between the real experiment and its numerical simulation is assessed by means of a small batch of measurements performed in a semi-anechoic chamber.

Domaines: Acoustique [physics.class-ph]; Applications [stat.AP]; Statistiques [math.ST]

L Gilquin, Simon Bouley, J. Antoni, T. Le Magueresse, C. Marteau. Sensitivity analysis of two inverse methods: Beamforming and Bayesian focusing. Journal of Sound and Vibration, 2019, ⟨10.1016/j.jsv.2019.05.002⟩. ⟨hal-01825318v2⟩