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Digital waveguide modeling for wind instruments: building a state-space representation based on the Webster-Lokshin model

Mignot, Rémi and Hélie, Thomas and Matignon, Denis Digital waveguide modeling for wind instruments: building a state-space representation based on the Webster-Lokshin model. (2010) IEEE Transactions on Audio Speech and Language Processing, vol. 18 (n° 4). pp. 843-854. ISSN 1558-7916

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Official URL: http://dx.doi.org/10.1109/TASL.2009.2038671

Abstract

This paper deals with digital waveguide modeling of wind instruments. It presents the application of state-space representations for the refined acoustic model of Webster-Lokshin. This acoustic model describes the propagation of longitudinal waves in axisymmetric acoustic pipes with a varying cross-section, visco-thermal losses at the walls, and without assuming planar or spherical waves. Moreover, three types of discontinuities of the shape can be taken into account (radius, slope and curvature). The purpose of this work is to build low-cost digital simulations in the time domain based on the Webster-Lokshin model. First, decomposing a resonator into independent elementary parts and isolating delay operators lead to a Kelly-Lochbaum network of input/output systems and delays. Second, for a systematic assembling of elements, their state-space representations are derived in discrete time. Then, standard tools of automatic control are used to reduce the complexity of digital simulations in the time domain. The method is applied to a real trombone, and results of simulations are presented and compared with measurements. This method seems to be a promising approach in term of modularity, complexity of calculation and accuracy, for any acoustic resonators based on tubes.

Item Type:Article
Additional Information:Thanks to IEEE editor. The definitive version is available at http://www.ieeexplore.ieee.org
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution: Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE
Other partners > Institut de Recherche et Coordination Acoustique/Musique - IRCAM (FRANCE)
Laboratory name:
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Deposited By: Denis Matignon
Deposited On:10 May 2010 14:26

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