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Compressed sensing applied to modeshapes reconstruction

Morlier, Joseph and Bettebghor, Dimitri Compressed sensing applied to modeshapes reconstruction. (2011) In: IMAC XXX Conference and exposition on structural dynamics, 30 January 2012 - 2 February 2012 (Jacksonville, United States). (Unpublished)

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Modal analysis classicaly used signals that respect the Shannon/Nyquist theory. Compressive sampling (or Compressed Sampling, CS) is a recent development in digital signal processing that offers the potential of high resolution capture of physical signals from relatively few measurements, typically well below the number expected from the requirements of the Shannon/Nyquist sampling theorem. This technique combines two key ideas: sparse representation through an informed choice of linear basis for the class of signals under study; and incoherent (eg. pseudorandom) measurements of the signal to extract the maximum amount of information from the signal using a minimum amount of measurements. We propose one classical demonstration of CS in modal identification of a multi-harmonic impulse response function. Then one original application in modeshape reconstruction of a plate under vibration. Comparing classical L2 inversion and L1 optimization to recover sparse spatial data randomly localized sensors on the plate demonstrates the superiority of L1 reconstruction (RMSE).

Item Type:Conference or Workshop Item (Paper)
HAL Id:hal-01852318
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:Université de Toulouse > Ecole nationale supérieure des Mines d'Albi-Carmaux - IMT Mines Albi (FRANCE)
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
French research institutions > Office National d'Etudes et Recherches Aérospatiales - ONERA (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Laboratory name:
Deposited On:30 Jan 2012 12:57

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