Interpolated and Warped 2-D Digital Waveguide Mesh Algorithms

Vesa Välimäki1 and Lauri Savioja2

1Helsinki University of Technology, Laboratory of Acoustics and Audio Signal Processing, Espoo, Finland
2Helsinki University of Technology, Telecommunications Software and Multimedia Laboratory, Espoo, Finland

ABSTRACT

The digital waveguide mesh is an extension of the one-dimensional digital waveguide technique. The mesh is used for simulation of two- and three-dimensional wave propagation in musical instruments and acoustic spaces. The rectangular digital waveguide mesh algorithm suffers from direction-dependent dispersion. By using the interpolated mesh, nearly uniform wave propagation characteristics are obtained in all directions. In this paper we show how the dispersion error of the interpolated mesh can be reduced by frequency warping. By using this technique the bandwidth where the frequency accuracy is within 1% tolerance is more than doubled.

Keywords: acoustic delay lines, acoustic signal processing, multidimensional system, time-domain finite-difference method

This is an invited paper published in the Proceedings of the 2000 COST-G6 Conference on Digital Audio Effects (DAFx-00), pp. 201-206, Verona, Italy, Dec. 7-9, 2000.


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Last modified: December 19, 2000
Author: Vesa Välimäki