Fixed-rate Modeling of Audio Lumped Systems: A Comparison Between Trapezoidal and Implicit Midpoint Methods
| Title | Fixed-rate Modeling of Audio Lumped Systems: A Comparison Between Trapezoidal and Implicit Midpoint Methods |
| Publication Type | Conference Paper |
| Year of Publication | 2017 |
| Authors | Germain, F. G. |
| Conference Name | 20th International Conference on Digital Audio Effects (DAFx-17) |
| Date Published | 09/2017 |
| Conference Location | Edinburgh, UK |
| Abstract | This paper presents the implicit midpoint method as an alternative to the more typical trapezoidal method for the simulation of audio lumped systems at a fixed rate. We provide tools for understanding the behavior and error associated with each method in the case of a typical nonlinear state-space formulation. We also show implementation strategies for those methods, including how an implicit midpoint method solution can be generated from a trapezoidal method solution and vice versa. Finally, we present some empirical analysis of the behavior of each method for a simple diode clipper circuit and provide an approach to help interpret their relative performance and how to pick the more appropriate method depending on desirable properties. The presented tools are also intended as a general approach to interpret the performance of discretization approaches. |
| URL | http://www.dafx17.eca.ed.ac.uk/papers/DAFx17_paper_90.pdf |
| Full Text | http://www.dafx17.eca.ed.ac.uk/papers/DAFx17_paper_90.pdf |
