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Plucked 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
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
Summary
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
Coupled Strings
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 and copy this work]
``
Physical Audio Signal Processing for Virtual Musical Instruments and Digital Audio Effects
'', by
Julius O. Smith III
, (December 2005 Edition).
Copyright ©
2006-07-01
by
Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),
Stanford University
[Automatic-links disclaimer]