- Delay Lines
- Acoustic Wave Propagation Simulation
- Lossy Acoustic Propagation
- Digital Waveguides
- Tapped Delay Line (TDL)
- Comb Filters
- Feedback Delay Networks (FDN)
- Allpass Filters
- Allpass Digital Waveguide Networks
- The Reverberation Problem
- Perceptual Aspects of Reverberation
- Early Reflections
- Late Reverberation Approximations
- A Schroeder Reverberator called JCRev
- Freeverb
- FDN Reverberation
- Delay-Line Interpolation
- Lagrange Interpolation
- Interpolation of Uniformly Spaced Samples
- Fractional Delay Filters
- Lagrange Interpolation Optimality
- Explicit Lagrange Coefficient Formulas
- Lagrange Interpolation Coefficient Symmetry
- Matlab Code for Lagrange Interpolation
- Maxima Code for Lagrange Interpolation
- Faust Code for Lagrange Interpolation
- Lagrange Frequency Response Examples
- Avoiding Discontinuities When Changing Delay
- Lagrange Frequency Response Magnitude Bound
- Even-Order Lagrange Interpolation Summary
- Odd-Order Lagrange Interpolation Summary
- Proof of Maximum Flatness at DC
- Variable Filter Parametrizations
- Recent Developments in Lagrange Interpolation
- Relation of Lagrange to Sinc Interpolation
- Thiran Allpass Interpolators
- Windowed Sinc Interpolation
- Delay-Line Interpolation Summary
- Variable Delay Lines
- Doubling and Slap-Back
- Flanging
- Phasing
- Vibrato Simulation
- Doppler Effect
- Doppler Simulation
- Chorus Effect
- The Leslie
- Rotating Woofer-Port and Cabinet
- Ideal Vibrating String
- Ideal Acoustic Tube
- Rigid Terminations
- Moving Rigid Termination
- The Ideal Plucked String
- The Ideal Struck String
- The Damped Plucked String
- Frequency-Dependent Damping
- The Stiff String
- The Externally Excited String
- Loop Filter Identification
- String Coupling Effects
- Nonlinear Elements
- Finite Difference Approximation
- Bilinear Transformation
- Example: Ideal String Struck by a Mass
- Nonlinear Methods
- Outline
- Sampling the Impulse Response
- Impulse Invariant Method
- Matched Z Transformation
- Pole Mapping with Optimal Zeros
- Modal Expansion
- General Filter Design Methods
- Commuted Synthesis
- Resonator Factoring
- Virtual Analog Example: Phasing
- Electric Guitars
- Piano
- Woodwinds
- Bowed Strings
- Brasses
- Other Instruments
- Installing and Testing the STK
- Customizing the STK for Development
- STK Tutorial Examples
- Testing Out a New STK Project
- Compiling and Debugging from Emacs
- An example .gdbinit file.
- Preparing your Program for Debugging
- Executing gdb from the command line
- Executing gdb from Emacs
- Useful commands in gdb
- Debugging Plugin Modules in Emacs
- Dealing with C++ in gdb
- Miscellaneous tricks in gdb under Emacs
- Early Musical Acoustics
- History of Modal Expansion
- Mass-Spring Resonators
- Sampling Theory
- Physical Digital Filters
- Voice Synthesis
- String Models
- Karplus-Strong Algorithms
- Digital Waveguide Models
- Summary
- Newton's Laws of Motion
- Work and Energy
- Momentum
- Properties of Elastic Solids
- Wave Equation for the Vibrating String
- Properties of Gases
- The Ideal Vibrating String
- The Finite Difference Approximation
- Traveling-Wave Solution
- Sampled Traveling Waves
- The Lossy 1D Wave Equation
- The Dispersive 1D Wave Equation
- Alternative Wave Variables
- Scattering at Impedance Changes
- Waveguide Transformers
- Loaded Waveguide Junctions
- Two Coupled Strings
- Digital Waveguide Mesh
- FDNs as Digital Waveguide Networks
- Digital Waveguide Filters
- The Digital Waveguide Oscillator
- Non-Cylindrical Acoustic Tubes
- ``Traveling Waves'' in Lumped Systems
- Passive Impedances
-plane Positive-Real Functions
- Introduction
- State Transformations
- Excitation Examples
- State Space Formulation
- Computational Complexity
- Summary
- Future Work
- Acknowledgments
- Wave Digital Elements
- Adaptors for Wave Digital Elements
- Wave Digital Modeling Examples
- Network Theory
- Basic Circuit Theory
- Laplace Transform Analysis
- Finite Differences
- Use of Finite Differences in Instrument Modeling
- Modal Analysis
- Modal Synthesis
- Wave Digital Filters
- Digital Waveguide Filters and Models
- Ladder and Lattice Filters
- Virtual Analog Synthesis
- String Modeling
- Nonlinear String Modeling
- Vacuum Tube Modeling
- Coupled Strings
- Psychoacoustics for String Modeling (Perception of Parameter Errors)
- Piano String Modeling
- Piano Hammer Modeling
- Clavichord Modeling
- Bell Modeling
- Wave Digital Piano-Hammer
- Commuted Piano Synthesis
- Bowed Strings
- Woodwinds
- Horns
- Brass Instruments
- Brass Instrument Excitation
- Flue Instruments
- Conical Acoustic Tubes
- Artificial Reverberation
- Waveguide Mesh
- Feedback Delay Networks
- Voice
- Filter Design
- Filter Design in Digital Waveguide Models
- IIR Digital Filter Implementation
- Minimum Phase FIR Filter Design
- Linear Prediction
- Ladder and Lattice Digital Filters
- Audio Signal Processing
- Applications of Frequency-Warping in Audio Signal Processing
- General Computer Music and Sound Synthesis
- General Musical Acoustics
- General Acoustics
- Physics of Waves in General
- Physics of Waves in Solids
- Interpolation
- Farrow Interpolation Structure
- Splines
- TIIR Filters
- Musical Instrument Controllers
- Model-Based Audio Compression
- Software Tools
- Elementary Signal Processing
- Intermediate to Advanced Signal Processing
- Intermediate Signal Processing
- Math Reference
