Sensitivity analysis of two inverse methods: Conventional Beamforming and Bayesian focusing. (1st September 2019)

• Record Type: Journal Article
• Authors: Gilquin, L.; Bouley, S.; Antoni, J.; Le Magueresse, T.; Marteau, C.
• Is Part Of: Journal of sound and vibration. Volume 455(2019)
• Page Start: 188
• Page End: 202
• Publication Date: 2019-09-01
• Subjects: Bayesian focusing -- Conventional Beamforming -- Inverse methods -- Uncertainty quantification -- Sensitivity analysis -- Sobol' indices; Sound -- Periodicals; Vibration -- Periodicals; Son -- Périodiques; Vibration -- Périodiques; Sound; Vibration; Periodicals; Electronic journals; 620.205
• DOI: 10.1016/j.jsv.2019.05.002
• Languages: English
• ISSNs: 0022-460X

Abstract

Abstract: 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: conventional 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.