Reduction of the dispersion error in the triangular digital waveguide mesh using frequency warping

Abstract

The digital waveguide mesh has been successfully used for simulation of two-dimensional (2-D) and three-dimensional (3-D) wave propagation in musical instruments and acoustic spaces. Nevertheless, digital waveguide mesh algorithms suffer from dispersion which increases with frequency. In this letter, we show how the dispersion error of the triangular digital waveguide mesh can be reduced by frequency warping. By using this technique, the worst-case dispersion error of 0.6% is obtained, whereas in the original triangular mesh it is about 6.5%.