Combining Digital Waveguide and Functional Transformation Methods for Physical Modeling of Musical Instruments

Trautmann L, Bank B, Valimaki V, Rabenstein R. Combining Digital Waveguide and Functional Transformation Methods for Physical Modeling of Musical Instruments. In: AES Conference: 22nd International Conference: Virtual, Synthetic, and Entertainment Audio. Audio Engineering Society; 2002. Paper 000215. Available from: https://aes.org/publications/elibrary-page/?id=11157

@inproceedings{Trautmann2002_11157,
  author = {Trautmann, Lutz and Bank, Balazs and Valimaki, Vesa and Rabenstein, Rudolf},
  title = {{Combining Digital Waveguide and Functional Transformation Methods for Physical Modeling of Musical Instruments}},
  booktitle = {AES Conference: 22nd International Conference: Virtual, Synthetic, and Entertainment Audio},
  note = {Paper 000215},
  year = {2002},
  month = jun,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=11157}
}

TY  - CPAPER
TI  - Combining Digital Waveguide and Functional Transformation Methods for Physical Modeling of Musical Instruments
AU  - Trautmann, Lutz
AU  - Bank, Balazs
AU  - Valimaki, Vesa
AU  - Rabenstein, Rudolf
T2  - AES Conference: 22nd International Conference: Virtual, Synthetic, and Entertainment Audio
M1  - Paper 000215
PY  - 2002
DA  - 2002/06/06
UR  - https://aes.org/publications/elibrary-page/?id=11157
PB  - Audio Engineering Society
LA  - en
AB  - Digital sound synthesis based on physical models is realized in real-time applications mostly with the well known digital waveguide method (DWG). It approximates the underlying physical behavior of a vibrating structure in a computationally efficient way. Due to these computational efficient approximations, the waveguide method looses the direct connection to the parameters of the underlying physical model. The recently introduced functional transformation method (FTM) on the other hand solves the underlying physical model analytically. Thus, the physical parameters are explicitly given in the discrete realization of the FTM. But due to this 'physicality' the computational cost of synthesis using FTM is larger than using DWG. This paper compares the DWG with the FTM and shows that for linear vibrating strings it is always possible to design an acoustically indistinguishable DWG approximation with the parameters obtained from the FTM. In that way, a computationally efficient and physically meaningful synthesis method is obtained. Furthermore, this paper shows the limits of this new synthesis method.
ER  -