Wave Digital Modeling Examples

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

• ``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
  • DC Analysis of the WD Mass-Spring Oscillator
  • WD Mass-Spring Oscillator at Half the Sampling Rate
  • Linearly Growing State Variables in WD Mass-Spring Oscillator
  • A Signal Processing Perspective on Repeated Mass-Spring Poles
  • Physical Perspective on Repeated Poles in Mass-Spring System
  • Mass-Spring Boundedness in Reality
  • Energy-Preserving Parameter Changes (Mass-Spring Oscillator)
  • Exercises in Wave Digital Modeling