Full waveform inversion for bore reconstruction of woodwind-like instruments

The internal geometry of a wind instrument can be estimated from acoustic measurements. For woodwind instruments, this involves characterizing the inner shape (bore) but also the side holes (dimensions and location). In this study, the geometric parameters are recovered by a gradient-based optimizat...

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Autores principales: Ernoult Augustin, Chabassier Juliette, Rodriguez Samuel, Humeau Augustin
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Lenguaje:EN
Publicado: EDP Sciences 2021
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spelling oai:doaj.org-article:e96a7a4f3e1445f4909e150c19823e772021-12-02T17:10:48ZFull waveform inversion for bore reconstruction of woodwind-like instruments2681-461710.1051/aacus/2021038https://doaj.org/article/e96a7a4f3e1445f4909e150c19823e772021-01-01T00:00:00Zhttps://acta-acustica.edpsciences.org/articles/aacus/full_html/2021/01/aacus210048/aacus210048.htmlhttps://doaj.org/toc/2681-4617The internal geometry of a wind instrument can be estimated from acoustic measurements. For woodwind instruments, this involves characterizing the inner shape (bore) but also the side holes (dimensions and location). In this study, the geometric parameters are recovered by a gradient-based optimization process, which minimizes the deviation between simulated and measured linear acoustic responses of the resonator for several fingerings through an observable function. The acoustic fields are computed by solving a linear system resulting from the 1D spectral finite elements spatial discretization of the wave propagation equations (including thermo-viscous effects, radiation and side holes). The “full waveform inversion” (FWI) technique exploits the fact that the gradient of the cost function can be computed by solving the same linear system as that of the direct problem but with a different source term. The gradient is computed with better accuracy and less additional cost than with finite-difference. The dependence of the cost function on the choice of the observed quantity, the frequency range and the fingerings used, is first analyzed. Then, the FWI is used to reconstruct, from measured impedances, an elementary instrument with 14 design variables. The results, obtained in about 1 minute on a laptop, are in excellent agreement with the direct geometric measurements.Ernoult AugustinChabassier JulietteRodriguez SamuelHumeau AugustinEDP SciencesarticleAcoustics in engineering. Acoustical engineeringTA365-367Acoustics. SoundQC221-246ENActa Acustica, Vol 5, p 47 (2021)
institution DOAJ
collection DOAJ
language EN
topic Acoustics in engineering. Acoustical engineering
TA365-367
Acoustics. Sound
QC221-246
spellingShingle Acoustics in engineering. Acoustical engineering
TA365-367
Acoustics. Sound
QC221-246
Ernoult Augustin
Chabassier Juliette
Rodriguez Samuel
Humeau Augustin
Full waveform inversion for bore reconstruction of woodwind-like instruments
description The internal geometry of a wind instrument can be estimated from acoustic measurements. For woodwind instruments, this involves characterizing the inner shape (bore) but also the side holes (dimensions and location). In this study, the geometric parameters are recovered by a gradient-based optimization process, which minimizes the deviation between simulated and measured linear acoustic responses of the resonator for several fingerings through an observable function. The acoustic fields are computed by solving a linear system resulting from the 1D spectral finite elements spatial discretization of the wave propagation equations (including thermo-viscous effects, radiation and side holes). The “full waveform inversion” (FWI) technique exploits the fact that the gradient of the cost function can be computed by solving the same linear system as that of the direct problem but with a different source term. The gradient is computed with better accuracy and less additional cost than with finite-difference. The dependence of the cost function on the choice of the observed quantity, the frequency range and the fingerings used, is first analyzed. Then, the FWI is used to reconstruct, from measured impedances, an elementary instrument with 14 design variables. The results, obtained in about 1 minute on a laptop, are in excellent agreement with the direct geometric measurements.
format article
author Ernoult Augustin
Chabassier Juliette
Rodriguez Samuel
Humeau Augustin
author_facet Ernoult Augustin
Chabassier Juliette
Rodriguez Samuel
Humeau Augustin
author_sort Ernoult Augustin
title Full waveform inversion for bore reconstruction of woodwind-like instruments
title_short Full waveform inversion for bore reconstruction of woodwind-like instruments
title_full Full waveform inversion for bore reconstruction of woodwind-like instruments
title_fullStr Full waveform inversion for bore reconstruction of woodwind-like instruments
title_full_unstemmed Full waveform inversion for bore reconstruction of woodwind-like instruments
title_sort full waveform inversion for bore reconstruction of woodwind-like instruments
publisher EDP Sciences
publishDate 2021
url https://doaj.org/article/e96a7a4f3e1445f4909e150c19823e77
work_keys_str_mv AT ernoultaugustin fullwaveforminversionforborereconstructionofwoodwindlikeinstruments
AT chabassierjuliette fullwaveforminversionforborereconstructionofwoodwindlikeinstruments
AT rodriguezsamuel fullwaveforminversionforborereconstructionofwoodwindlikeinstruments
AT humeauaugustin fullwaveforminversionforborereconstructionofwoodwindlikeinstruments
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