#21 Structurally Passive Scattering Element for Modelling Guitar Pluck Action
Gianpaolo Evangelista, Julius O. Smith III
In this paper we propose new models for the plucking interaction
of the player with the string for use with digital waveguide
simulation of guitar. Unlike the previously presented models, the
new models are based on structurally passive scattering junctions,
which have the main advantage of being properly scaled for use in
fixed-point waveguide implementations and of guaranteeing stability
independently of the plucking excitation.
In a first model we start from the Cuzzucoli-Lombardo equations
[1], within the Evangelista-Eckerholm [2] propagation formulation,
in order to derive the passive scattering junction by
means of bilinear transformation. In a second model we start from
equations properly modeling the finger compliance by means of a
spring. In a third model we formalize the interaction in terms of
driving impedances. The model is also extended using nonlinear
(feathering) compliance models
