MUS420 Lecture
Elementary Digital Waveguide Models for Vibrating Strings

Julius O. Smith III (jos at ccrma)
Center for Computer Research in Music and Acoustics (CCRMA)
Department of Music, Stanford University

Detailed Contents (and Navigation)

• Rigidly Terminated Ideal String
  • Acceleration-Wave Simulation
  
  
• Doubly Terminated Ideal Plucked String
  • Ideal Struck-String Velocity-Wave Simulation
  • External String Excitation at a Point
  • Delay Consolidated System (Repeated):
  • Algebraic Derivation
  
  
• Damped Plucked String
  • Equivalent System: Gain Elements Commuted
  • Computational Savings
  
  
• Frequency-Dependent Damping
  • Simplest Frequency-Dependent Loop Filter
  • Karplus-Strong Algorithm
  • KS Physical Interpretation
  • KS Sound Examples
  
  
• Extended Karplus-Strong (EKS) Algorithm
  • EKS Sound Example
  • Simplest Frequency-Dependent Loss
  • Next Simplest Case: Length 3 FIR Loop Filter
  • Length 3 FIR Loop Filter with Variable DC Gain
  
  
• Loop Filter Identification
  • Plucked/Struck String Pitch Estimation
  
  
• Nonlinear ``Overdrive''
  • Hard Clipper
  • Soft Clipper
  • Amplifier Distortion + Amplifier Feedback
  
  
• About this document ...