Joint Parameter Optimization of Differentiated Discretization Schemes for Audio Circuits

Germain F, Werner KJ. Joint Parameter Optimization of Differentiated Discretization Schemes for Audio Circuits. In: AES Convention 142. Audio Engineering Society; 2017. Paper 9751. Available from: https://aes.org/publications/elibrary-page/?id=18627

@inproceedings{Germain2017_18627,
  author = {Germain, Francois and Werner, Kurt James},
  title = {{Joint Parameter Optimization of Differentiated Discretization Schemes for Audio Circuits}},
  booktitle = {AES Convention 142},
  note = {Paper 9751},
  year = {2017},
  month = may,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=18627}
}

TY  - CPAPER
TI  - Joint Parameter Optimization of Differentiated Discretization Schemes for Audio Circuits
AU  - Germain, Francois
AU  - Werner, Kurt James
T2  - AES Convention 142
M1  - Paper 9751
PY  - 2017
DA  - 2017/05/06
UR  - https://aes.org/publications/elibrary-page/?id=18627
PB  - Audio Engineering Society
LA  - en
AB  - We propose a new approach to discretizing audio circuits that involves applying differentiated discretization schemes among the elements of a linear circuit, or sub-circuit, rather than a single uniform scheme. The scheme coefficients are jointly optimized to minimize some frequency response error function for that linear circuit. We describe the mathematical framework for this optimization and apply it to the case of the parametric bilinear transform. Differentiated discretization coefficients are jointly optimized by minimizing the L2 -norm error between the discretized frequency response and the frequency response of the original system. To demonstrate the validity of our approach, we apply our method to several examples and show a systematic reduction of the frequency response error in each case.
ER  -