Digital sound synthesis of string instruments with the functional transformation method

Journal article
(Original article)


Publication Details

Author(s): Rabenstein R, Trautmann L
Journal: Signal Processing
Publisher: Elsevier
Publication year: 2003
Volume: 83
Journal issue: 8
Pages range: 1673-1688
ISSN: 0165-1684


Abstract


The theory of multidimensional continuous and discrete systems is applied to derive a parametric description of musical sounds from a physical model of real or virtual string instruments. The mathematical representation of this model is given by a partial differential equation for a vibrating string. Suitable functional transformations with respect to time and space turn this partial differential equation into a multidimensional transfer function. It is the starting point for the derivation of a discrete-time system by classical analog to discrete transformations. The coefficients of this discrete model depend explicitly on the geometric properties and material constants of the underlying physical model. This ensures a meaningful behaviour of the discrete system under varying conditions and allows for an intuitive control by the user. Furthermore, the performance of real-time implementations is discussed. Finally, several extensions of this synthesis method for computer music applications are presented. © 2003 Elsevier Science B.V. All rights reserved.



FAU Authors / FAU Editors

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


How to cite

APA:
Rabenstein, R., & Trautmann, L. (2003). Digital sound synthesis of string instruments with the functional transformation method. Signal Processing, 83(8), 1673-1688. https://dx.doi.org/10.1016/S0165-1684(03)00083-5

MLA:
Rabenstein, Rudolf, and Lutz Trautmann. "Digital sound synthesis of string instruments with the functional transformation method." Signal Processing 83.8 (2003): 1673-1688.

BibTeX: 

Last updated on 2018-25-12 at 20:50