Multifrequency mismatch functions for nonlinear parametric identificationsReport as inadecuate




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1 LMA - Laboratoire de Mécanique et d-Acoustique Marseille 2 Sons LMA - Laboratoire de Mécanique et d-Acoustique Marseille 3 O&I - Ondes et Imagerie LMA - Laboratoire de Mécanique et d-Acoustique Marseille

Abstract : This investigation is concerned with the ill-posed nature of non-linear inverse problems, in the frequency domain, for which the unknown parameters are determined, in iterative manner, by seeking the minima of a mismatch function quantifying the discrepancy between given data and the output of a numerical model. One might think that the identification can be done solely by the search of the minima of the mismatch function, but this problem is mathematically ill-posed and it is illusory to try to identify a satisfactory solution until the problems of stability noisy data and non-uniqueness local minima are resolved. This paper shows that a mismatch function resulting from summing up mono frequency mismatch functions corresponding to several different frequencies turns the inverse problem into a global optimization problem and overcomes the problem of the sensitivity of solutions to noisy data, without requiring a priori information on the probed medium.

Keywords : Parameter identification Non linear inverse problems





Author: Thierry Scotti - Armand Wirgin -

Source: https://hal.archives-ouvertes.fr/



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