String Excitation

In §2.4 and §6.10 we looked at the basic architecture of a digital waveguide string excited by some external disturbance. We now consider the specific cases of string excitation by a hammer (mass) and plectrum (spring).

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Subsections

• Ideal String Struck by a Mass
  • Mass Termination Model
  • Mass Reflectance from Either String
  • Simplified Impedance Analysis
  • Mass Transmittance from String to String
  • Force Wave Mass-String Model
  • Summary of Mass-String Scattering Junction
  • Digital Waveguide Mass-String Model
  • Displacement-Wave Simulation
  
  
• Piano Hammer Modeling
  • Nonlinear Spring Model
  • Including Hysteresis
  • Piano Hammer Mass
  
  
• Pluck Modeling
  • Digital Waveguide Plucked-String Model
  • Incorporating Control Motion
  • Successive Pluck Collision Detection
  • Plectrum Damping
  • Digitization of the Damped-Spring Plectrum
  • Feathering

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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.