MUS420 Lecture
Wave Digital Filters

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)

• Wave Digital Filters
  • Wave Digital Filter (WDF) Construction
  • Wave Variable Decomposition
  • Element Reflectance
  • Reflectance of Ideal Mass, Spring, and Dashpot
  • Bilinear Transformation
  • Digitized Reflectances Without Delay-Free Paths
  • Wave Digital Elements
  
  
• Elementary Wave Flow Diagrams
• Example: ``Piano hammer in flight''
  • Mass Momentum and Energy
  • Force Driving a Mass
  • Traveling-Wave View of Driving Force
  • Zero Source-Impedances are Non-Physical
  
  
• Spring-Driven Mass
  • Expanded Wave Digital Spring-Mass System
  • Low-Frequency Spring-Driven-Mass Analysis
  
  
• Classic WDF Wave Variables
• Binary Connection Tree
  • Reflection-Free Ports
  • Reflection-Free Port Coefficients
  
  
• Example
• Topology Issues
• SPQR Decomposition
• WDF State Space Interpretation
• Nonlinear Wave Digital Filters
  • Nonlinear Wave Digital Filters, Continued
  • Dynamic Nonlinearities
  
  
• Choice of WDF Topology
  • Free WDF Software
  • WDF References
  
  
• About this document ...