Music 420: The Laplace Transform

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)

• The Laplace Transform
• Relation to the z Transform
• Two Laplace Transform Theorems
  • Linearity
  • Differentiation
  
  
• Laplace Analysis of Linear Systems
  • Example: Force-Driven Mass
  • Force-Driven Mass Analysis
  • Force-Driven Mass Analysis, Continued
  • Mass-Spring Oscillator Time-Domain Solution
  • Mass-Spring Oscillator Analysis, Continued
  
  
• About this document ...