Modeling voice production with time-delay systems: the larynx tube

Fabrice Silva (1, 2) , Guillermo Artana (3) , D Sciamarella (4)

1 M&S - Matériaux et Structures
2 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
3 FIUBA - Facultad de Ingeniería [Buenos Aires]
4 LIMSI - Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur

Time-delay systems (shortly, TDS) are also called systems with aftereffect or dead-time, hereditary systems, equations with deviating argument or differential-difference equations. In voice production, TDS play a role in voice-production modeling when source and tract are coupled allowing for delayed feedback on the vocal fold dynamics [2,3]. This work undertakes the incorporation of the larynx tube to this modeling scheme, following an approach inspired in the assimilation of the larynx tube to a Helmholtz resonator, introduced four decades ago to study the singing formant.

Mots clés: Time-delay system; larynx; singing formant

Domaines: Acoustique [physics.class-ph]; Biomécanique [physics.med-ph]; Vibrations [physics.class-ph]

Fabrice Silva, Guillermo Artana, D Sciamarella. Modeling voice production with time-delay systems: the larynx tube. 10th International Conference on Voice Physiology and Biomechanics , Mar 2016, Viña del Mar/Valparaiso, Chile. ⟨hal-01295803⟩