Name
Title | ||
|---|---|---|
Multirate simulations of string vibrations including nonlinear fret-string interactions using the functional transformation method |
Abstract | ||
|---|---|---|
The functional transformation method (FTM) is a well-established mathematical method for accurate simulations of multidimensional physical systems from various fields of science, including optics, heat and mass transfer, electrical engineering, and acoustics. This paper applies the FTM to real-time simulations of transversal vibrating strings. First, a physical model of a transversal vibrating lossy and dispersive string is derived. Afterwards, this model is solved with the FTM for two cases: the ideally linearly vibrating string and the string interacting nonlinearly with the frets. It is shown that accurate and stable simulations can be achieved with the discretization of the continuous solution at audio rate. Both simulations can also be performed with a multirate approach with only minor degradations of the simulation accuracy but with preservation of stability. This saves almost 80% of the computational cost for the simulation of a six-string guitar and therefore it is in the range of the computational cost for digital waveguide simulations. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1155/S1110865704312059 | EURASIP J. Adv. Sig. Proc. |
Keywords | Field | DocType |
accurate simulation,stable simulation,physical model,dispersive string,simulation accuracy,multidimensional physical system,real-time simulation,functional transformation method,computational cost,nonlinear fret-string interaction,multirate simulation,digital waveguide simulation,nonlinear,vibrating string,multidimensional system,partial differential equation | Discretization,Nonlinear system,Computer science,Physical system,Artificial intelligence,Topology,Computer vision,Lossy compression,Waveguide,Algorithm,Vibration,Partial differential equation,Multidimensional systems | Journal |
Volume | Issue | ISSN |
2004, | 7 | 1687-6180 |
Citations | PageRank | References |
1 | 0.37 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| L. Trautmann | 1 | 67 | 7.49 |
| R. Rabenstein | 2 | 119 | 15.00 |