Synthesise realistic sound by modelling the physics of vibration.
Data Science & Analytics
Module-by-module breakdown of Physics-Based Synthesis: Modeling Vibrations and Timbre, from foundations to a certified capstone project.
Acoustics
• Modes, harmonicity and inharmonicity in strings, bars and membranes
• Excitation, resonance and radiation as three separable stages
• Why sampling reproduces a sound but not the instrument behaviour
Mass-Spring
• Mass-spring-damper networks and finite difference schemes
• Stability conditions and the Courant limit on step size
• Numerical dispersion and the computational cost of accuracy
Waveguides
• Digital waveguides, delay lines and travelling wave decomposition
• Karplus-Strong as the minimal plucked string, and its extensions
• Fractional delay, loop filters and tuning the model correctly
Modal
• Modal decomposition into parallel resonators
• Estimating modal parameters from recordings of real objects
• Trading mode count against realism and CPU cost
Expression
• Bow, reed and hammer interaction models and their nonlinear regimes
• Coupling between strings and body, and sympathetic resonance
• Mapping controller input to physical parameters for expressive play
e-Certificate and e-Marksheet issued on successful completion.