Rapid Approximation of Weakly-Nonlinear Mode Parameters

Skare T, Abel JS. Rapid Approximation of Weakly-Nonlinear Mode Parameters. In: AES Convention 149. Audio Engineering Society; 2020. Paper 10437. Available from: https://aes.org/publications/elibrary-page/?id=20974

@inproceedings{Skare2020_20974,
  author = {Skare, Travis and Abel, Jonathan S.},
  title = {{Rapid Approximation of Weakly-Nonlinear Mode Parameters}},
  booktitle = {AES Convention 149},
  note = {Paper 10437},
  year = {2020},
  month = oct,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=20974}
}

TY  - CPAPER
TI  - Rapid Approximation of Weakly-Nonlinear Mode Parameters
AU  - Skare, Travis
AU  - Abel, Jonathan S.
T2  - AES Convention 149
M1  - Paper 10437
PY  - 2020
DA  - 2020/10/06
UR  - https://aes.org/publications/elibrary-page/?id=20974
PB  - Audio Engineering Society
LA  - en
AB  - Modal processors and synthesizers require determining resonant frequencies and decay rates of a system. We introduce a simple, efficient, and flexible approach to compute these parameters when speed is of the essence, for example modeling a user’s sample folder in a realtime mobile synthesizer application. The approach compares DFT peaks in two impulse response windows at different points in time to obtain the modal frequencies and decay rates. The approach trades precision for speed, and should be considered an approximation. For a selection of samples across tonal/atonal instruments and reverb responses, we consider sensitivity to window choice and window size, and compare results to traditional modeling methods, which operate on the entire impulse response. We propose extensions of the algorithm to more than two windows, and to capture nonlinear, time-varying behavior such as the pitch dive after striking a tom drum at high velocity.
ER  -