Development of methods to deconvolve data from instrumental devices: Application to acoustic experiments

Henri-Pierre Valero (1, 2) , Stéphanie Gautier (1) , Ginette Saracco (1, 3) , Matthias Holschneider (1)

1 GR - Géosciences Rennes
2 Schlumberger KK
3 CEREGE - Centre européen de recherche et d'enseignement des géosciences de l'environnement

we propose two methods to deconvolve experimental data from the distorsions introduced by intrumental devices. If we suppose the total acquisition system (emission-reception line, amplifier, pre-amplifier) as a global experimental filter, we can define it experimentally from the generation of a family of source signals dilated in time. The estimation of this filter allows us to deconvolve the recorded output signal. The first approach is based on the simple reconstruction formula of the continuous wavelet transform. The second method is based on the construction of a normalized family of a finite number of specific filters, independent of the frequency range used. In both case, experimental results in an acoustic tank are presented. We show that after deconvolution, the source signal is correctly reconstructed from the recorded output signal and the global instrumental filter.

Keywords: Source deconvolution; wavelet filtering; Inverse continuous wavelet transform; Acoustic experiment

Domains: Acoustics [physics.class-ph]; Geophysics [physics.geo-ph]; Information Theory [math.IT]; Signal and Image Processing

Henri-Pierre Valero, Stéphanie Gautier, Ginette Saracco, Matthias Holschneider. Development of methods to deconvolve data from instrumental devices: Application to acoustic experiments. Proceedings of the IEEE, 2001, IEEE-WISP, pp.159-154. ⟨hal-01767223⟩