Percussion Instruments

While sample-playback synthesis is especially effective for percussion instruments that are supposed to play ``in the background,'' some form of parametrization is needed for the more expressive performances, or for highly variable percussion instruments such as the Indian tabla. Highly efficient computational models of 2D membranes and 3D volumes may be built using the digital waveguide mesh [146,520,518,521]. More recently, Lauri and Välimäki have developed a frequency-warping approach to compensating for dispersive wave propagation in a variety of mesh types [398,399,401]. The 2001 thesis of Bilbao [54] provides a unified view of the digital waveguide mesh and wave digital filters [136] as particular classes of energy invariant finite difference schemes [481]. The problem of modeling diffusion at a mesh boundary was addressed by [268].

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About the Author: Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.