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Below is our current schedule, with pointers to all reading
assignments, lecture overheads, and theory/lab exercises for the
course. Anything marked ``Supplementary'' is not required for the
course, but may be of interest.
- Schedule Summary by Week:
- Intro and Overview, Prerequisites Review
- Digitizing Mass-Spring Systems, Parallel and Series Connections
- Finite Difference Schemes Backward/Forward Euler, Bilinear Transform
- Finite Difference Schemes, State Space Models, State Variable Filters
- Mass-Spring Chain and Traveling Waves below Cutoff
- Acoustic Modeling with Digital Delay, Comb Filters, Allpass Filters
- Interpolation of Delay Lines and Sampled Signals
- Wave Scattering
- Wave Digital Filters
- Applications, Review, Worked Problems
- Week 1: Course Intro (this document),
Intro to Demos,
Demos (interactive demos),
Basic physics and signal-processing demos(HTML)
(PDF),
History of Virtual Musical Instruments Based on Physical Modeling(video),
Laplace Transform,
Comparison of s and z planes
- Week 2:
Finite Difference Schemes
- Reading:
- Lecture Videos:
- Ex#2
- Week 3:
Finite Difference Schemes
- Reading:
- Lecture Videos:
- Ex#3
- Week 4:
Finite Difference Schemes,
State Variable Filters
- Reading (continuing from last week):
- Lecture Videos:
- Week 5:
Mass-Spring Chain,
Delay Lines, Comb Filters, TDLs, Allpass Filters
- Reading:
- Physical Animation Demos:
- Lecture Videos:
- Ex#4
- Week 6:
Delay Lines, Comb Filters, TDLs, Allpass Filters,
Interpolating Delay Lines
- Reading:
- Lecture Videos:
- Ex#5
- Week 7:
Interpolating Delay Lines,
Commuted Synthesis,
Impedance and One-Ports,
Simple String Models,
Scattering Junctions
- Week 8:
Scattering Junctions,
Ideal String Struck by a Mass
- Reading:
- Lecture Videos:
- Ex#6
- Week 9:
Wave Digital Filters (WDF)
- Reading:
- Lecture Videos:
- More Lecture Videos:
- Week 10 (All Supplementary): Project Presentations, Current Research, Special Topics, Applications, Demos,
David Yeh WDF Tutorial,
Piano Modeling,
Wave Digital Piano Hammer,
Physical Model Overview,
Related Research (PDF),
Spectral Modeling (PDF)
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Download intro420.pdf
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