DocumentCode :
3390965
Title :
Digital sound synthesis based on transfer function models
Author :
Trautmann, Lutz ; Rabenstein, Rudolf
Author_Institution :
Telecommun. Inst. I, Erlangen-Nurnberg Univ., Germany
fYear :
1999
fDate :
1999
Firstpage :
83
Lastpage :
86
Abstract :
Various methods for sound synthesis based on physical models have been presented. They start from a continuous model for the vibrating body, given by partial differential equations (PDEs), and employ proper discretization in time and space. Examples are waveguide models or finite difference models. A different approach is presented here. It is based on a multidimensional transfer function model derived by suitable functional transformations in time and space. Physical effects modeled by the PDE like longitudinal and transversal oscillations, loss and dispersion are treated with this method in an exact fashion. Moreover, the transfer function models explicitly take initial and boundary conditions, as well as excitation functions into account. The discretization based on analog-to-discrete transformations preserves not only the inherent physical stability, but also the natural frequencies of the oscillating body. The resulting algorithms are suitable for real-time implementation on digital signal processors. This paper shows the new method on the linear example of a transversal oscillating tightened string with frequency dependent loss terms
Keywords :
audio signal processing; frequency-domain analysis; music; numerical stability; oscillations; partial differential equations; signal synthesis; transfer functions; transforms; vibrations; algorithms; analog-to-discrete transformations; boundary conditions; continuous model; digital signal processors; digital sound synthesis; dispersion; excitation functions; finite difference models; frequency dependent loss; functional transformations; initial conditions; longitudinal oscillations; multidimensional transfer function model; music; natural frequencies; oscillating body; partial differential equations; real-time implementation; space discretization; stability; time discretization; transversal oscillating tightened string; transversal oscillations; vibrating body; waveguide models; Acoustic waveguides; Boundary conditions; Dispersion; Finite difference methods; Frequency; Multidimensional systems; Partial differential equations; Stability; Transfer functions; Vibrations;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Applications of Signal Processing to Audio and Acoustics, 1999 IEEE Workshop on
Conference_Location :
New Paltz, NY
Print_ISBN :
0-7803-5612-8
Type :
conf
DOI :
10.1109/ASPAA.1999.810855
Filename :
810855
Link To Document :
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