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- 3D sound
: 13.8.5
- acceleration due to gravity
: 13.1.4
- acoustic
- echo simulation : 3.2.7
- energy density : 13.7.8
- intensity : 13.7.7
- wave simulation : 3.2
- acoustic guitars
: 10.2
- acoustic tube
- nonuniform : 14.18
- waveguide model : 7.2
- acoustical ohms
: 14.7.3
- acoustics
: 13
- action
: 13.4
- action force
: 10.3.1
- adaptor
: 17.2
- parallel, reflection free, binary connection tree : 17.2.3
- parallel, three-port, one-multiply : 17.2.3.1
- series, reflection free : 17.2.5.4
- series, reflection free, binary connection tree : 17.2.6
- series, three-port, one-multiply : 17.2.6.1
- two-port parallel : 17.2.1
- unit element : 17.1.7
- additive synthesis
: 2.4.3
- adiabatic gas constant
: 13.7.12
- admittance
: 8.1
- aerofoil
: 13.7.5
- air absorption
: 4.1.1
| 13.7.15
- frequency-dependent : 3.3.2
- frequency-independent : 3.3.1
- air jets
: 13.7.6
- air pressure
: 13.7.3
- airfoil
: 13.7.5
- aliasing
: 7.13.1.6
- allpass comb filter
: 3.8.1
- allpass condition
- equivalence to losslessness : 3.8.3
- allpass filter
: 3.8
| 3.8.1
- examples : 3.8.4
- general case : 3.8.3
- Gerzon nested MIMO : 3.8.5
- maximally flat group delay : 5.3
- nested : 3.8.2
| 4.4.3
- Thiran : 5.3
- waveguide : 3.9
- allpass phase shifter
: 9.10.1
- second-order case : 9.10.2
- allpass reflectance
: 14.11.1
- alpha parameters
: 17.2.2.1
| 17.2.2.1
- amplification factor
: 15.4
- amplifier
- cabinet filter : 10.1.8
- distortion : 10.1.10
- feedback simulation : 10.1.7
- amplitude complementary
: 10.5.1.1
- amplitude envelopes
: 7.11.1
- analog circuit
: 2.5.10
- angular acceleration
: 13.4.19
- angular momentum
: 13.4.13
- general case : 13.4.20.2
- vector : 13.4.14
- angular velocity vector
: 13.4.11
- arctangent nonlinearity
: 7.13.1.2
- area moment of inertia
: 13.4.8
- artificial reverberation
: 4.5
- backward difference
: 2.5.5
| 8.3.1
- backward Euler method
: 8.4.3
- bandlimited interpolation
: 5.4
- Bark scale
: 9.7.2
- beaded strings
: 10.4.3
- bell models
: 10.7.2
- Bernoulli effect
: 13.7.5
- Bernoulli equation
: 10.7.1
| 13.7.4
- Bessel filter
: 5.3
- beta parameters
: 17.2.5.1
- beta parameters (WDF)
: 17.2.5.1
- bidirectional delay line
: 3.4
- bilinear transform
: 8.3.2
- bilinear transform vs. finite differences
: 8.3.2.1
- Bode plot
: 9.10.1.1
- body factoring
: 9.9
- by sinusoidal modeling : 9.9.1.4
- example : 9.9.6
- resonator extraction : 9.9
- body-fixed frame
: 13.4.10.2
| 13.4.20.1
| 13.4.20.1
- Boltzmann's constant
: 13.7.10
- boundary conditions
: 13.8.4
- boundary element method
: 14.18.1.1
- boundary losses
: 13.7.15
- bowed strings
: 10.6
- bow-string junction : 10.6.2
- linear commuted synthesis of : 10.6.4
- brass instruments
: 10.7
- brass mouthpiece
: 10.7.1
- break frequency
: 9.10.1.1
| 9.10.1.1
- bridge power splitting
: 14.11.1.2
- bridge velocity transmittance
: 14.11.1.1
- butterflies
: 4.7.9
- cabinet filtering
: 10.1.8
- capacitor
: 8.1.3
- cardinal sine
: 5.4.1
- causal
: 3.5.4
| 3.8.3
- center of gravity
: 13.4.1
- center of mass
: 13.4.1
- center of mass, momentum
: 13.4.1.1
- center-of-mass frame
: 13.4.10.2
- centered finite difference
: 8.3.1.2
| 12.5.2
| 16.1.1
- centroid
: 13.4.1
- cepstral method
: 9.7.4.3
- chain rule
: 14.3.2
| 14.3.2
- change of coordinates:
: 2.5.9.3
- characteristic impedance
: see wave impedancetextbf
- characteristic polynomial equation
: 15.2.2.1
| 15.3
- Chebyshev optimality
: 5.2.3
- chorus effect
: 3
| 6.8
- clarinet tonehole two-port junction
: 10.5.4.1
- classical mechanics
: 13.4
- clipping distortion
: 10.1.6.3
| 10.1.6.4
- clipping nonlinearity
: 7.13.1.1
- closed waveguide networks
: 3.9
- coefficient of inharmonicity
: 7.11.4.3
| 10.4.1.3
- collision detection
: 10.3.3.2
- comb filter
: 3.6
- amplitude response : 3.6.3
| 3.6.4
- feedback : 3.6.2
- feedforward : 3.6.1
- filtered feedback : 3.6.5
- lowpass feedback : 4.6.2
- Schroeder-Moorer : 3.6.5
| 4.6.2
- commuted waveguide synthesis
: 9.8
- bowed strings : 10.6.4
- excitation synthesis : 10.4.4.6
- piano : 10.4.4
- compatible port connection
: 17.2.1.1
- complete response
: 2.5.7.2
- compliance of springs
: 8.1.3
- compression velocity
: 8.1.3
- cone wave impedance
: 14.18.4
- cone-cylinder intersection
: 14.18.8
- conformal map interpretation of damping
: 4.7.4.1
- conical acoustic tubes
: 14.18.2
- conical cap reflectance
: 14.18.8.2
- conical diffuser
: 6.9.1
- conical tube junction
: 14.18.8.1
- conservation of energy
: 13.2.6
- conservation of momentum
: 13.1.1
| 13.3.1
| 13.3.1
- conservative forces
: 13.2
- consistency of finite differences
: 15.2.1
- convergence of finite-difference schemes
: 15.2
- Coulomb force
: 13.1.4
- coupled strings
: 7.12
| 14.13
- coupled strings eigenanalysis
: 14.13.2
- coupling of horizontal and vertical transverse waves
: 7.12.2
- coupling of two ideal strings
: 14.13.1
- crests
: 13.8.1
- cubic nonlinearity
: 10.1.6.4
- cubic soft clipper
: 7.13.1.3
- cylinder with conical cap
: 14.18.8
- damping filter design
: 7.11.1
| 7.11.2
- damping, plectrum
: 10.3.3.4
- dashpot
: 2.5.3
| 8.1.1
| 8.1.1
- degree of freedom
: 2.5.6.4
- delay effects
: 3
| 6
| 6
- delay line
: 3.1
| 3.1
- bidirectional : 3.4
- interpolation : 5.1
- software : 3.1.1
- tapped : 3.5
- time varying : 6.1
- time-varying reads : 6.7.2
- delay loop expansion
: 9.6.2
- delay operator notation
: 8.3.1.2
- delay-line lengths, reverberation
: 4.7.3
- diatomic gas
: 13.7.12
- difference equation
: 2.5.2
- differential equation
: 13.1.5
- differentiator
: 8.1.3
| 9.7.1
- diffuse field
: 4.2.1
| 4.3
| 4.7.3.1
- diffuse reflection
: 3.2.6
- diffusers
: 4.5
- digital waveguide
- mesh : 10.8.3
- digital sinusoid generators
: 14.17.2
- digital state variable filter
: 14.17.2
- digital waveguide
: 3.4
- animation : 7.4.2
- equivalent forms : 7.10.1
- history : 12.9
- mesh : 4.7.11.4
| see mesh
- synthesis : see waveguide synthesis
- digital waveguide filter
: 12.6.3
| 14.9
- digitization of lumped models
: 8.3
- digitizing systems
: 2.5.2
- directional derivative
: 13.8.2
- dispersion
: 3.3.3
| 3.4
- dispersion filter design
: 7.11.3
| 10.4.1.3
- dispersion filtering
: 7.9.1
- dispersion relation
: 13.8.3
| 15.3
- dispersive
: 3.2.3
- dispersive 1D wave equation
: 14.6
- dispersive wave propagation
: 3.3.3
| 7.9
- displacement waves
: 10.2.1
- distributed mass
: 13.4
- distributed parameters
: 2.5.10
- Doppler effect
: 6.6
- doubling effect
: 6.2
| 6.2
- driving force
: 10.3.1
- driving-point impedance
: 4.4.2
| 8.1
- dualizer
: 14.16.1
- duty-cycle modulation
: 10.1.9
- DWF
: see digital waveguide filtertextbf
- dynamic scattering junction
: 10.3.1.6
- dynamically balanced
: 13.4.14.1
- early reflections
: 4.2.1
| 4.3
- echo
: 3.2.7
- Echoplex
: 6.7
- EDC
: see energy decay curvetextbf
- EDR
: see energy decay relieftextbf
- EDR-based loop filter design
: 7.11.5
- eigenpolarizations
: 7.12.2
- elastic collision
: 10.3.1
- elastic solids
: 13.5
- electric guitars
: 10.1
- elliptic norm
: 14.15.3
- energy conservation
: 13.2.6
- energy conservation in volumes
: 13.7.9
- energy decay curve (EDC)
: 4.2.2.1
- energy decay relief (EDR)
: 4.2.2.2
- energy density
: 13.7.8
- energy density waves
: 14.7.6
- energy in a vibrating string
: 14.7.8
- energy of a mass
: 13.2.2
- energy of a mass-spring system
: 13.2.5
- equations of motion, rigid bodies
: 13.4.20
- equilibrium
: 13.1.4
- equivalent circuit
: 2.5.10
- ERB scale
: 9.7.2
- Euler method
- backward : 8.4.3
- forward : 8.4.2
- semi-implicit backward : 8.4.7
- Euler's equations, rotations
: 13.4.20.3
- evanescent wave
: 14.8.2.2
- even part
: 7.13.1.5
- excess air pressure
: 10.7.1
- excitation factoring
: 10.4.4.5
- excitation noise substitution
: 9.9.5
- excitation table
: 10.4.4.3
- exciting a string
: 10.3
- experimental fact
: 13.1.3
- explicit finite-difference scheme
: 10.4.3.3
| 15.1
- explicit method
: 8.4.2
- Extended Karplus-Strong (EKS)
: 10.1.5
- F0 estimation
: 7.11.4
- factoring excitations
: 10.4.4.5
- factoring resonators
: 9.9
- Farrow structure
: 5.2.15.3
| 5.2.15.3
- coefficients formula : 5.2.15.4
- FDN
: see feedback delay networktextbf
- FDN reverberation in Faust
: 4.7.9
- FDTD
: see finite difference time domaintextbf
- feedback comb filter
: 3.6.2
| 3.6.2
| 4.6.2
- feedback delay network
: 3.7
| 4.7
- as a digital waveguide network : 4.7.8
- relation to state space : 3.7.1
- single input : 3.7.2
- stability : 3.7.3
- feedback howl
: 10.1.7
- feedforward comb filter
: 3.6.1
| 3.6.1
- filter
- allpass : 3.8
| 3.9
- allpass examples : 3.8.4
- allpass from two combs : 3.8.1
- allpass, Gerzon nested MIMO : 3.8.5
- allpass, nested : 3.8.2
- ladder structure
- Kelly-Lochbaum section : 14.8.4
- one-multiply section : 14.8.5
- lattice section : 3.8.2
- lossless : 3.8.3
- transposition : 3.5.2
- vectorized comb : 3.7
- filter bank
: 4.7.5.3
- filter design
: 9.7
- differentiator : 9.7.3
- dispersion filter : 10.4.1.3
- invfreqz : 9.7.4
- minimum phase conversion : 9.7.4.3
- reading : 9.7.5
- summary : 9.7.2
- filtered node variables
: 14.5.5.1
- filtered-feedback comb filter
: 3.6.5
- filtering per sample
: 3.3.2
| 4.7.4
- finite difference approximation
: 8.3.1
| 14.2
| 14.2
- finite difference approximation vs. bilinear transform
: 8.3.2.1
- finite difference scheme
- centered : 8.3.1.2
| 12.5.2
| 16.1.1
- finite difference string model
- frequency-dependent losses : 14.5.5.1
- lossless : 14.4.3
- lossy : 14.5.5
- finite state machines
: 2.5.6.3
- finite-difference equations
: 8.3
- finite-difference scheme
: 15
| 15.1
- consistency : 15.2.1
- convergence : 15.2
- explicit : 15.1
- FDTD and digital waveguides : 16
- implicit : 15.1
- passivity : 15.2.5
- stability : 15.2.3
- well posed initial-value problem : 15.2.2
- finite-difference time-domain
: 16
- finite-impulse-response (FIR) filter
: 3.5.4
- flanger
: 6.3
| 6.3.5
- depth : 6.3
- feedback : 6.3.4
- rate : 6.3.1
- regeneration : 6.3.4
- speed : 6.3.1
- flanging
: see flangertextbf
- flare constant
: 10.7
- flow-graph reversal theorem
: 3.5.2
- flute synthesis
: 10.8.2
- FM synthesis
: 2.4.3
- force
: 13.1.3
- force of gravity
: 13.1.3
- force reflectance
: 10.3.1.3
- force times distance
: 13.2
- force transmittance
: 10.3.1.5
| 14.11.1.1
- force wave variable
: 14.7.2
- force waves
: 7.1.5
| 14.7.2
- forced response
: 2.5.7.2
- formant synthesis
: 9.6
- forward Euler method
: 8.4.2
- fractional delay
: 5.1.1.2
- fractional delay filter
: 5.1.1.2
| 5.2.1
- fractional-delay filter
: 5.2.2
- frame of reference
: 13.4.20.1
- frequency shift
: 6.5
- frequency-warping
: 8.3.2
- friction force
: 8.1.1
- fundamental frequency
- estimation : 7.11.4
- gas
- heat capacity : 13.7.13
- pressure : 13.7.3
- properties : 13.7
- temperature : 13.7.10
- gas law, ideal
: 13.7.10
- generalized eigenvector
: 2.5.9.3
- generalized scattering coefficients
: 14.18.6
- gradient
: 13.8.2
- gravitation
: 13.1.3
- group-delay filters
: 5.3
- guitar