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Generality of the EKS Algorithm

As discussed in [14], the white-noise excitation used in the KS digitar and EKS algorithms can be interpreted physically as a random initial displacement and velocity for each string element (spatial sample), and the resulting string vibration decays exponentially, corresponding to a linear string model. This type of model works well for plucked and struck strings, particularly a variety of lively clavier-type instruments. However, to model a real acoustic stringed instrument, such as a classical guitar or piano, we need to model the body resonator (guitar body, soundboard, etc.).

Note that solid-body electric guitars, such as the Les Paul or Stratocaster, do not need a resonator model, because their string vibrations are measured directly by magnetic pickups, and body resonances (which are minimized in solid-body design and construction) have only a small effect on the pickup signal. Therefore, all we really need for these instruments, beyond our string model, is guitar effects, such as distortion, and a good amp model, because electric guitar players classically achieve their ultimate sound in conjunction with the nonlinear operation of a good guitar amp (preferably a tube amp, as of this writing).

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Download faust_strings.pdf

``Making Virtual Electric Guitars and Associated Effects Using Faust'', by Julius O. Smith III,
REALSIMPLE Project — work supported in part by the Wallenberg Global Learning Network .
Released 2013-08-22 under the Creative Commons License (Attribution 2.5), by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University