Virtual Strings Based on a 1-D FDTD Waveguide Model: Stability, Losses, and Traveling Waves

Erkut C, Karjalainen M. Virtual Strings Based on a 1-D FDTD Waveguide Model: Stability, Losses, and Traveling Waves. In: AES Conference: 22nd International Conference: Virtual, Synthetic, and Entertainment Audio. Audio Engineering Society; 2002. Paper 000237. Available from: https://aes.org/publications/elibrary-page/?id=11143

@inproceedings{Erkut2002_11143,
  author = {Erkut, Cumhur and Karjalainen, Matti},
  title = {{Virtual Strings Based on a 1-D FDTD Waveguide Model: Stability, Losses, and Traveling Waves}},
  booktitle = {AES Conference: 22nd International Conference: Virtual, Synthetic, and Entertainment Audio},
  note = {Paper 000237},
  year = {2002},
  month = jun,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=11143}
}

TY  - CPAPER
TI  - Virtual Strings Based on a 1-D FDTD Waveguide Model: Stability, Losses, and Traveling Waves
AU  - Erkut, Cumhur
AU  - Karjalainen, Matti
T2  - AES Conference: 22nd International Conference: Virtual, Synthetic, and Entertainment Audio
M1  - Paper 000237
PY  - 2002
DA  - 2002/06/06
UR  - https://aes.org/publications/elibrary-page/?id=11143
PB  - Audio Engineering Society
LA  - en
AB  - The one-dimensional digital waveguide structures based on finite difference time domain (FDTD) formulations provide a flexible approach for real-time sound synthesis of simple one-dimensional (1-D) structures, such as a vibrating string. This paper summarizes the basic 1-D FDTD waveguide theory, carries out the stability analysis of the model, and presents a sufficient condition for the stability. The simulation of frequency-independent losses has also been covered. The formation of the traveling waves and initialization of the 1-D FDTD waveguides are investigated. The methods shown in the paper may be used to interconnect the 1-D FDTD waveguides to other model-based sound synthesis structures, such as digital waveguides that are based on the traveling wave solution of the wave equation.
ER  -