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Plate impulse response spatial interpolation with sub-Nyquist sampling

Abstract : Impulse responses of vibrating plates are classically measured on a fine spa- tial grid satisfying the Shannon-Nyquist spatial sampling criterion, and interpo- lated between measurement points. For homogeneous and isotropic plates, this study proposed a more efficient sampling and interpolation process, inspired by the recent paradigm of compressed sensing. Remarkably, this method can accomodate any star-convex shape and unspecified boundary conditions. Here, impulse responses are first decomposed as sums of damped sinusoids, using the Simultaneous Orthogonal Matching Pursuit algorithm. Finally, modes are in- terpolated using a plane wave decomposition. As a beneficial side effect, these algorithms can also be used to obtain the dispersion curve of the plate with a limited number of measurements. Experimental results are given for 3 different plates of different shapes and boundary conditions, and compared to classical Shannon interpolation.
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Submitted on : Wednesday, December 19, 2012 - 11:41:01 AM
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Gilles Chardon, A. Leblanc, Laurent Daudet. Plate impulse response spatial interpolation with sub-Nyquist sampling. Journal of Sound and Vibration, Elsevier, 2011, 330, pp.5678-5689. ⟨10.1016/j.jsv.2011.07.003⟩. ⟨hal-00766950⟩



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