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Elementary String Instruments
Subsections
Ideal Vibrating String
Wave Equation
Wave Equation Applications
Traveling-Wave Solution
Sampled Traveling-Wave Solution
Wave Impedance
Rigid Terminations
Velocity Waves at a Rigid Termination
Force Waves at a Rigid Termination
Moving Rigid Termination
Digital Waveguide Equivalent Circuits
Animation of Moving String Termination
The Ideal Plucked String
The Ideal Struck String
The Damped Plucked String
Computational Savings
Frequency-Dependent Damping
Length
FIR Loop Filter
Brightness and Sustain Control
One-Zero Loop Filter
The Karplus-Strong Algorithm
The Extended Karplus-Strong Algorithm
The Stiff String
Stiff String Synthesis Models
The Externally Excited String
Equivalent Forms
Algebraic derivation
Related Forms
Summary
Ideal String Struck by a Mass
Mass Termination Model
Simplified Impedance Analysis
Digital Waveguide Model
Loop Filter Identification
General Loop-Filter Design
Damping Filter Design
Dispersion Filter Design
Fundamental Frequency Estimation
Approximate Maximum Likelihood F0 Estimation
References on F0 Estimation
Extension to Stiff Strings
EDR-Based Loop-Filter Design
String Coupling Effects
Horizontal and Vertical Transverse Waves
Coupled Horizontal and Vertical Waves
Asymmetry of Horizontal/Vertical Terminations
Coupled Strings
Longitudinal Waves
Nonlinear Distortion
Amplifier Feedback
Commuted Synthesis of Strings
Further Reading in Commuted Synthesis
Body-Model Factoring
Exercises
Problems
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[How to cite this work]
[Order a printed hardcopy]
``
Physical Audio Signal Processing
'', by
Julius O. Smith III
, (August 2007 Edition).
Copyright ©
2008-05-16
by
Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),
Stanford University
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