Physical Modeling & Numerical Sound Synthesis

Intended Learning Objectives

• Can explain theories of physical modeling-based numerical sound synthesis methodologies.

• Can implement numerical sound synthesis methods in codes.

• Textbook
  • (Bilbao) Numerical Sound Synthesis : Finite Difference Schemes and Simulation in Musical Acoustics
  • Related talks
    • DAFx17 Keynote 1: Julius Smith - History of Virtual Musical Instruments Based on Physical Modeling
    • DAFx17 Tutorial 2: Brian Hamilton - Simulation of Room Acoustics
    • Physics-based Sound Synthesis, Virtual Acoustics and Audio Effects - Prof. Stefan Bilbao
    • Stefan Bilbao: Wave-based Time Domain Methods in Room Acoustics Auralisation
  • Related papers
    • (Välimäki) Discrete-time Modelling of Musical Instruments
    • (Smith) Virtual Acoustic Musical Instruments Review and Update
    • (Karjalainen) Digital Waveguides versus Finite Difference Structures - Equivalence and Mixed Modeling
    • (Serra) Spectral Modeling Synthesis

Syllabus

Syllabus

• 1st week (7/4)
  • Tutorial (presentor: Jin Woo Lee)
• 2nd week (7/11) Introduction

  • Sound Synthesis and Physical Modeling (presentor: Jin Woo Lee)

  • Time Series and Difference Operations (presentor: Jin Woo Lee)

• 3rd week (7/18) ODE systems
  • The Oscillator (presentor: Kyungsu Kim)
  • The Oscillator in Musical Acoustics (presentor: Jaejun Lee)
• 4th week (7/25) PDE systems

  • Grid Functions and Finite Difference Operators in 1D (presentor: Minju Kim)

  • The 1D Wave Equation (presentor: Jaehyun Park)

• 5th week (8/1): no class!
• 6th week (8/8) Implementation I

  • Special Topic: Room Acoustics & Digital Filters (presentor: Sungho Lee)

  • Linear Bar and String Vibration (presentor: Minjoon Choi)

• 7th week (8/17) Implementation II

  • Nonlinear String Vibration (presentor: Minu Kim)

  • Acoustic Tubes (presentor: Jin Woo Lee)

• 8th week (8/22) Final Project
  • Final Project Presentation (Jin Woo Lee, Minju Kim, Minjoon Choi)