Physical modeling of drums by transfer function methods

Author

Trautmann, L. ; Petrausch, S. ; Rabenstein, R.

Author_Institution

Telecommun. Lab., Univ. of Erlangen-Nuremberg, Erlangen, Germany

Volume

5

fYear

2001

fDate

2001

Firstpage

3385

Abstract

Multidimensional (MD) physical systems are usually given in terms of partial differential equations (PDEs). Similar to one-dimensional systems, they can also be described by transfer function models (TFMs). In addition to including initial and boundary conditions as well as excitation functions exactly, the TFM can also be discretized in a simple way. This leads to suitable implementations for digital signal processors. Therefore it is possible to implement physics based digital sound synthesis algorithms derived from TFMs in real-time. This paper extends the previously presented solution for vibrating strings with one spatial dimension to two-dimensional drum models

Keywords

acoustic signal processing; musical instruments; partial differential equations; signal synthesis; transfer functions; 2D drum models; PDE; boundary conditions; digital signal processors; excitation functions; initial conditions; multidimensional physical systems; partial differential equations; physical modeling; physics based digital sound synthesis algorithms; transfer function methods; transfer function models; two-dimensional drum models; vibrating strings; Biomembranes; Boundary conditions; Finite difference methods; Laboratories; Partial differential equations; Production; Sections; Signal processing algorithms; Signal synthesis; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 2001 IEEE International Conference on

Conference_Location

Salt Lake City, UT

ISSN

1520-6149

Print_ISBN

0-7803-7041-4

Type

conf

DOI

10.1109/ICASSP.2001.940385

Filename

940385