Publications (1)1.55 Total impact
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Article: Regularization method applied to deconvolution problem in Real-Time Acoustic Holography.
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ABSTRACT: Near-field Acoustic Holography (NAH) [Maynard et Williams, 1985] is a measuring process for locating stationary sound sources from measurements made by an antenna of microphones positioned near the acoustic source plane. In order to characterize non-stationary sources, a new formulation has been introduced [Grulier, 2004] to propagate signals on a forward plane using a convolution product with an impulse response in the time-wavenumber domain. The purpose of this study is to solve the deconvolution problem in order to introduce the Real-Time Acoustic Holography and to test its accuracy. Taking the evanescent waves into account improves the spatial resolution of the solution but makes the deconvolution problem "ill-posed". Thus, the inverse of the impulse response is neither unique nor stable. Then, regularization methods that consist of giving an other constraint to the solution to solve this problem are studied. In particular, the standard Tikhonov regularization is used, which is based on the minimisation of the solution's energy, combined with generalized cross validation to estimate the regularization parameters. This method provides an image representation of the time dependent pressure of the source plane in order to localize and characterize the different sound sources.The Journal of the Acoustical Society of America 06/2008; 123(5):3386. · 1.55 Impact Factor
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2008
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Université du Maine
Le Mans, Pays de la Loire, France
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