TY - GEN
T1 - Non-iterative schemes for the simulation of nonlinear audio circuits
AU - Ducceschi, Michele
AU - Bilbao, Stefan
AU - Webb, Craig
PY - 2021/8/28
Y1 - 2021/8/28
N2 - In this work, a number of numerical schemes are presented in the context of virtual-analog simulation. The schemes are linearly implicit in character, and hence directly solvable without iterative methods. Schemes of increasing order of accuracy are constructed,and convergence and stability conditions are proven formally. The schemes are able to handle stiff problems very efficiently, because of their fast update, and can be run at higher sample rates to reduce aliasing. The cases of the diode clipper and ring modulator are investigated in detail, including several numerical examples.
AB - In this work, a number of numerical schemes are presented in the context of virtual-analog simulation. The schemes are linearly implicit in character, and hence directly solvable without iterative methods. Schemes of increasing order of accuracy are constructed,and convergence and stability conditions are proven formally. The schemes are able to handle stiff problems very efficiently, because of their fast update, and can be run at higher sample rates to reduce aliasing. The cases of the diode clipper and ring modulator are investigated in detail, including several numerical examples.
M3 - Conference contribution
VL - 2
T3 - Proceedings of the International Conference on Digital Audio Effects
SP - 25
EP - 32
BT - Proceedings of the 24th International Conference on Digital Audio Effects DAFx20in21
A2 - Evangelista, Gianpaolo
A2 - Holighaus, Nicki
CY - Vienna, Austria
ER -