Sound synthesis of a nonlinear string using Volterra series - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2007

Sound synthesis of a nonlinear string using Volterra series

Résumé

This paper proposes to solve and simulate various Kirchhoff models of nonlinear strings thanks to Volterra series. Two nonlinearities are studied : the string tension is supposed to depend either on the global elongation of the string, either on the local strain located at x. For each model, a Volterra series is used to represent the displacement as a functional of excitation forces. The Volterra kernels are solved in the Laplace domain thanks to a modal decomposition. As a last step, systematic identifications on these kernels lead to a structure in the time domain, which is composed of ”linear filters”, instantaneous sums and instantaneous products. Such a structure allows for sound synthesis thanks to standard signal processing techniques. The nonlinear dynamics introduced by this simulation is significant and perceptible on sounds for sufficiently large excitations.
Fichier non déposé

Dates et versions

hal-01106330 , version 1 (20-01-2015)

Identifiants

  • HAL Id : hal-01106330 , version 1

Citer

David Roze, Thomas Hélie. Sound synthesis of a nonlinear string using Volterra series. International Congress on Acoustics, Sep 2007, Madrid, Espagne. pp.1-6. ⟨hal-01106330⟩
101 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More