| Paper Abstract and Keywords |
| Presentation |
2006-07-14 15:15
On Numerical Simulation Errors of Physical Models for Music Sound Generation
Yoshimitsu Takasawa (UEC) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
The partial frequencies of the transverse vibrations of a string which has stiffness form an inharmonic series.
For musical synthesis, the equations of a physical model are to be simulated in time domain by numerical methods. The most straightforward approach can be said to be the finite difference method.
The equations are formulated in discrete form. In the finite difference method, there are two problems to be taken into account. The first is the numerical stability. The second is the numerical dispersion. It has been shown that some undesirable dispersive effects may be present in the solution if a finite difference scheme is used. Here, we present two accurate formulee of this numerical dispersion and discuss on the error size of the difference method. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
music sound generation / physical model / discretization / finite difference method / numerical dispersion / inharmonisity / / |
| Reference Info. |
IEICE Tech. Rep., vol. 106, no. 160, EA2006-31, pp. 39-42, July 2006. |
| Paper # |
EA2006-31 |
| Date of Issue |
2006-07-07 (EA) |
| ISSN |
Print edition: ISSN 0913-5685 |
| Download PDF |
|
| Conference Information |
| Committee |
EA |
| Conference Date |
2006-07-14 - 2006-07-14 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Pioneer Corporate Research and Development Laboratories |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
Sound Field Reproduction, Musical Acoustics, General |
| Paper Information |
| Registration To |
EA |
| Conference Code |
2006-07-EA |
| Language |
Japanese |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
On Numerical Simulation Errors of Physical Models for Music Sound Generation |
| Sub Title (in English) |
|
| Keyword(1) |
music sound generation |
| Keyword(2) |
physical model |
| Keyword(3) |
discretization |
| Keyword(4) |
finite difference method |
| Keyword(5) |
numerical dispersion |
| Keyword(6) |
inharmonisity |
| Keyword(7) |
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| Keyword(8) |
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| 1st Author's Name |
Yoshimitsu Takasawa |
| 1st Author's Affiliation |
University of Electro-Communications (UEC) |
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| Speaker |
Author-1 |
| Date Time |
2006-07-14 15:15:00 |
| Presentation Time |
30 minutes |
| Registration for |
EA |
| Paper # |
EA2006-31 |
| Volume (vol) |
vol.106 |
| Number (no) |
no.160 |
| Page |
pp.39-42 |
| #Pages |
4 |
| Date of Issue |
2006-07-07 (EA) |