Wave Digital Modeling Examples

This section presents a series of examples, working up from very simple to more complicated situations.

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Subsections

• ``Piano hammer in flight''
  • Extracting Physical Quantities
  
  
• Force Driving a Mass
  • A More Formal Derivation of the Wave Digital Force-Driven Mass
  
  
• Force Driving a Spring against a Wall
• Spring and Free Mass
• Mass and Dashpot in Series
  • Checking the WDF against the Analog Equivalent Circuit
  
  
• Wave Digital Mass-Spring Oscillator
  • Oscillation Frequency
  • Linearly Growing State Variables
  • Why this can't happen in reality
  • Energy-Preserving Parameter Changes (Mass-Spring Oscillator)
  • Exercises in Wave Digital Modeling

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written by 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.