Theory of Banded Waveguides
Georg Essl, Stefania Serafin, Perry R. Cook, Julius O. Smith · Computer Music Journal · 2004
This article describes banded waveguides, a way of synthesizing sounds made by solid objects and an alternative method for treating two- and three-dimensional objects. It belongs to the synthesis algorithms known as physical models, and in particular, it is a departure from waveguide synthesis. Physical modeling of musical instruments is a synthesis technique that is well established in computer music. Physical models are historically related to computationally expensive algorithms (Ruiz 1969) but have become more efficient with faster methods such as waveguide synthesis (Smith 2003). Digital waveguide models provide discretetime models of distributed media such as vibrating strings, bores, horns, and plates. We begin by outlining related synthesis methods with emphasis on traditional waveguide synthesis, which motivated the creation of this new structure. To simulate sustained and transient excitations such as striking, bowing, and rubbing, different excitation models are also proposed in this article. Instruments that have been modeled