Sound synthesis with tension modulated nonlinearities based on functional transformations

Conference contribution


Publication Details

Author(s): Trautmann L, Rabenstein R
Editor(s): N.E. Mastorakis
Publisher: World Scientific and Engineering Academy and Society
Publication year: 2000
Pages range: 444-449
ISBN: 9608052238


Abstract


Transfer functions for digital sound synthesis based on physical models have recently been presented. The method transforms a continuous model for the vibrating body, given by a partial differential equation (PDE), into a multidimensional (MD) transfer function model (TFM). The TFM takes initial and boundary conditions, as well as excitation functions into account. It also treats the physical effects modeled by the PDE exactly. The algorithms obtained after discretization of the TFM preserve the inherent physical stability and are suitable for real-time implementations on digital signal processors. A recently presented example of a linear transversal oscillating tightened string with frequency dependent loss terms is extended here to a nonlinear vibration model. The nonlinearity of the string vibration is caused by an output dependent tension modulation. Because of the nonlinearity we only obtain an implicit equation instead of a TFM derived in the linear case. The nonlinear string model can easily be implemented after inverse transformations and discretization. This model reproduces the vibrations of a real string better than the linear model. An example of the nonlinear string model and a comparison between the results of the linear and the nonlinear model is given.



FAU Authors / FAU Editors

Rabenstein, Rudolf Prof. Dr.
Lehrstuhl für Multimediakommunikation und Signalverarbeitung


How to cite

APA:
Trautmann, L., & Rabenstein, R. (2000). Sound synthesis with tension modulated nonlinearities based on functional transformations. In N.E. Mastorakis (Eds.), Proceedings of the Acoustics and Music: Theory and Applications (AMTA) (pp. 444-449). World Scientific and Engineering Academy and Society.

MLA:
Trautmann, L, and Rudolf Rabenstein. "Sound synthesis with tension modulated nonlinearities based on functional transformations." Proceedings of the Acoustics and Music: Theory and Applications (AMTA) Ed. N.E. Mastorakis, World Scientific and Engineering Academy and Society, 2000. 444-449.

BibTeX: 

Last updated on 2019-03-06 at 07:13