Title :
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
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;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 2001 IEEE International Conference on
Conference_Location :
Salt Lake City, UT
Print_ISBN :
0-7803-7041-4
DOI :
10.1109/ICASSP.2001.940385
