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Global JOS Index (generated from HTML files on this website)


20 dB boost
3 dB boost
3-dB bandwidth
3D sound
coherenceml
A-weighted dB scale
absolutely integrable
acceleration due to gravity
acoustic guitars
acoustical ohms
acoustics
action
action force
acyclic convolution
acyclic FFT convolution
adaptor
additive synthesis
adiabatic gas constant
admissibility condition, wavelets
admittance
ADSR envelope
aerofoil
affine function
air absorption
air jets
air pressure
airfoil
alias component matrix
alias operator
aliased sinc function
aliasing
aliasing cancellation
aliasing components
aliasing operator
aliasing theorem
aliasing theorem for the DTFT
aliasing, time domain
allpass comb filter
allpass condition
allpass filter
allpass filter design
allpass phase shifter
allpass reflectance
alpha parameters
AM index
ambisonics
Amperes
amplification factor
amplifier modeling
amplitude
amplitude complementary
amplitude envelope
amplitude envelopes
amplitude of a sinusoid
amplitude response
analog circuit
analog filters
analog prototype
analytic continuation
analytic signal
angular acceleration
angular momentum
angular velocity vector
anti-aliasing lowpass filter
anti-Hermitian
anticausal
anticausal exponentials
antilinear
antilogarithm, antilog
antiresonance frequency
antiresonator
antisymmetric impulse responses
antisymmetric linear-phase filters
applications of the STFT
arctangent nonlinearity
area moment of inertia
Argand diagram
artificial reverberation
asinc function
attack level
auditory filter bank
auditory filter shape
autocorrelation
autocorrelation computation
autocorrelation function
autocorrelation method of linear prediction
average power
backward difference
backward Euler method
Banach space
banded Toeplitz filter matrix
bandlimited downsampling
bandlimited interpolation
bandlimited signals cannot be time limited
bandwidth of a pole
bandwidth of a pole
Bark frequency scale
Bark scale
Bark warping
Bartlett window
baseband signal
basis signals
beaded strings
beats
bel
bell models
Bernoulli effect
Bernoulli equation
Bessel filter
Bessel function
Bessel generating function
bias
biased sample autocorrelation
bidirectional delay line
bilateral Laplace transform
bilateral z transform
bilinear transform
bilinear transform vs. finite differences
bilinear transformation
bin number
bin numbers
binomial coefficient
biquad filter section
Blackman window
Blackman window matlab example
Blackman-Harris window
blocking capacitor
Bluestein FFT
Bode plot
body factoring
body-fixed frame
Boltzmanns constant
boost
boundary conditions
boundary element method
boundary losses
bounded variation
bowed strings
brass instruments
brass mouthpiece
break frequency
breakpoints
bridge power splitting
bridge velocity transmittance
brown noise
Burgs method
butterflies
Butterworth filters
Butterworth lowpass example
Butterworth lowpass filter design example
cabinet filtering
canonical with respect to delay
capacitor
capacitor driving point impedance
capacitors as springs
cardinal sine
carrier frequency
carrier term
carrier wave
Cartesian coordinates
Cauchy-Schwarz inequality
causal
causal filters
causal signal
causal signals
causal signals, periodic
causal zero padding
causalperiodicsignals
center frequency of a resonator
center of gravity
center of mass
center of mass, momentum
center-of-mass frame
centered finite difference
central limit theorem
centroid
cepstral method
cepstral windowing
cepstrum
cepstrum, causal
chain rule
change of coordinates:
channel vocoder
characteristic function
characteristic of a logarithm
characteristic polynomial
characteristic polynomial equation
Chebyshev bandpass filter design
Chebyshev FIR filters
Chebyshev optimal windows
Chebyshev optimality
Chebyshev polynomials
Chebyshev window
chirp signal
chirp signals
chirp z transform algorithm
chirp, Gaussian-windowed
chirplet
chirplet frequency estimation
chirplet signal modeling
chirplet, spectrum
chorus effect
circulant matrix
circular convolution
circular cross-correlation
clarinet tonehole two-port junction
classical mechanics
click removal
clipping
clipping dB magnitude
clipping distortion
clipping nonlinearity
closed waveguide networks
CODEC
coefficient of inharmonicity
coefficient of projection
coefficients, difference equation
coherence function
coherent addition of signals
COLA constraint
COLA constraint, frequency domain
COLA dual
collision detection
colored noise
column vector
comb filter
common logarithm
commutativity of convolution
commutativity of series filters
commuted waveguide synthesis
companding
compatible port connection
complete response
completing the square
complex amplitude
complex analysis
complex and trig identities
complex cepstrum
complex conjugate
complex demodulation
complex exponential
complex filter
complex matrix
complex matrix transpose
complex multiplication
complex numbers
complex numbers in matlab
complex numbers summary
complex one-pole sections
complex plane
complex resonator
complex roots of a polynomial
complex signal
complex signal modulation
complex sinusoid
complex sinusoidal oscillator
complex vector space
compliance of springs
compression velocity
condition number
cone wave impedance
cone-cylinder intersection
confidence interval
confidence level
conformal map
conformal map interpretation of damping
conical acoustic tubes
conical cap reflectance
conical diffuser
conical tube junction
conjugate quadrature filters
conservation of energy
conservation of momentum
conservative forces
consistency of finite differences
constant modulus
constant overlap-add window
constant peak-gain resonator
constant resonance-gain resonator
constant-overlap-add
constant-Q filter banks
constant-Q Fourier transform
continuous Fourier theorems
continuous wavelet transform
continuous-time aliasing
continuous-time complex one-pole resonator
controllability and observability
controllable modes
controller canonical form
convergence of finite-difference schemes
convex optimization
convolution
convolution as a filter
convolution commutativity
convolution filter representation
convolution is commutative
convolution theorem
convolution theorem dual
convolution theorem for z transforms
correlation
correlation analysis
correlation operator
correlation theorem
cosine, two vectors
Coulomb force
Coulombs
coupled strings
coupled strings eigenanalysis
coupling of horizontal and vertical transverse waves
coupling of two ideal strings
covariance
covariance lattice methods
covariance method, linear prediction
cps
crests
critical band of hearing
critical bandwidth of hearing
critical downsampling
critically damped
cross-correlation
cross-correlation, circular
cross-correlation, unbiased
cross-covariance
cross-power spectral density
cross-spectral density
cross-synthesis
cross-talk
cubic nonlinearity
cubic phase interpolation
cubic soft clipper
cubic spline
cubic splines
current
cut filter
cut-off frequency
cycles per second
cyclic autocorrelation
cyclic convolution
cyclic FFT convolution
cylinder with conical cap
damping constant
damping filter design
damping, plectrum
dashpot
dB clipping
dB for display
dB per decade
dB per octave
dB properties
dB relative to full scale
dB scale
dB SPL
dBA
dBFS
dBm scale
dBu scale
dBV scale
dc blocker
dc blocker frequency response
dc blocking filter
dc sampling filter
DCT
de Moivres theorem
de Moivres theorem, proof
decay response
decay time
decay time-constant
decibel
decimal numbers
decimation
decimation in frequency
decimation in time
decimation operator
decimation theorem
deconvolution
degeneracy
degree of freedom
delay effects
delay equalization
delay line
delay loop expansion
delay operator notation
delay-line lengths, reverberation
delta function
demodulation, complex
demos
denoising
dependent port
design of recursive digital filters
determinant
deterministic
deterministic part
detrend
DFT
DFT filter bank
DFT mathematics overview
DFT matrix
DFT matrix in matlab
DFT sinusoids
diagonalizing a state-space model
diatomic gas
difference equation
differentiability of audio signals
differential equation
differentiation theorem
differentiation theorem dual, DTFT
differentiation theorem dual, FT
differentiation theorem for Laplace transforms
differentiator
diffuse field
diffuse reflection
diffusers
digital filter
digital filter theory
digital prolate spheroidal sequence
digital sinusoid generators
digital state variable filter
digital waveguide
digital waveguide filter
digitization of lumped models
digitizing systems
dipole term
direct form filter implementation
direct form filter implementations
directional derivative
Dirichlet function
discrete wavelet filterbank
discrete wavelet transform
discrete-time sinusoid
dispersion
dispersion filter design
dispersion filtering
dispersion relation
dispersive
dispersive 1D wave equation
dispersive wave propagation
displacement waves
distributed mass
distributed parameters
Dolph window
Dolph-Chebyshev window
Doppler effect
doublet
doubling effect
downsampling
downsampling operator
downsampling theorem
DPSS window
driving force
driving-point impedance
DTFT
DTFT definition
DTFT Fourier theorems
duality, Fourier
dualizer
Durbin recursion
duty-cycle modulation
dyadic filter bank
dyadic wavelet filter bank
dynamic convolution
dynamic range
dynamic range compression
dynamic range of magnetic tape
dynamic scattering junction
dynamically balanced
early reflections
echo
Echoplex
EDR-based loop filter design
effective length of a window
eigenpolarizations
eigenvalues
eigenvector
elastic collision
elastic solids
electric guitars
electrical equivalent circuit
elliptic norm
energy
energy conservation
energy conservation in volumes
energy density
energy density waves
energy in a vibrating string
energy of a mass
energy of a mass-spring system
energy of a signal
energy theorem
ensemble average
entire function
entropy
envelope break-points
envelope follower
equation error
equations of motion, rigid bodies
equilibrium
equiripple
equivalent circuit
equivalent rectangular bandwidth
ERB scale
ergodic
error weighting function
essential singularity
estimator variance
Euclidean norm
Eulers equations, rotations
Eulers identity
Eulers Identity
evanescent wave
even and odd functions
even impulse-response filter
even part
example elementary audio filters
excess air pressure
excitation factoring
excitation noise substitution
excitation pattern
excitation table
exciting a string
existence of the z transform
expected value
experimental fact
explicit finite difference scheme
explicit finite-difference scheme
explicit method
exponential function summary
exponential order
exponential polynomial signal
exponential window
exponentially swept sine analysis
exponentially windowed
exponentials
extended lapped transforms
extremal frequencies
F0 estimation
factored form of a polynomial
factorial notation
factoring a polynomial
factoring excitations
factoring resonators
Farads
Farrow structure
fast convolution
Faust programming language
FDN reverberation in Faust
feedback coefficients
feedback comb filter
feedback delay network
feedback FM
feedback howl
feedback signal
feedforward coefficients
feedforward comb filter
FFT
FFT convolution
FFT notation
FFT window
fftshift utility in matlab
filter
filter bank
filter design
filter-bank interpretation of STFT
filtered node variables
filtered white noise
filtered-feedback comb filter
filtering per sample
finite difference approximation
finite difference approximation vs. bilinear transform
finite state machines
finite support
finite-difference equations
finite-difference scheme
finite-difference time-domain
finite-order causal LTI digital filters
FIR filter
FIR filter design
FIR part
first-order moment
fixed-point FFTs
flanger
flare constant
flip operator
flip theorem for z transforms
floor function
flow graph
flow graph reversal
flow-graph reversal theorem
flute synthesis
FM index
FM modulation frequency
FM synthesis spectrum
folding a signal about index zero
folding frequency
force
force of gravity
force reflectance
force times distance
force transmittance
force wave variable
force waves
forced response
formant
formant filtering
formant synthesis
formants
forward Euler method
forward-backward filtering
Fourier dual
Fourier duality
Fourier series
Fourier series and the DFT
Fourier series coefficient
Fourier symmetries
Fourier theorems
Fourier transform
Fourier transform cases
Fourier transform existence
Fourier Transform theorems
fractional delay
fractional delay filter
fractional-delay filter
frame
frame of reference
frequencies
frequency bin
frequency domain
frequency envelopes
frequency modulation
frequency resolution
frequency response
frequency sampling method for FIR digital filter design
frequency scaling
frequency shift
frequency trajectories
frequency warping
frequency-domain aliasing
frequency-domain equation-error minimization
friction force
fundamental frequency estimation
fundamental theorem of algebra
gain at resonance
gas law, ideal
Gaussian
Gaussian function
Gaussian-windowed chirp
generalized eigenvector
generalized eigenvectors
generalized function
generalized Hamming window
generalized Hamming window family
generalized scattering coefficients
generalized STFT
geometric sequence
geometric sequence frequencies
geometric series
geometric signal theory
Gibbs phenomenon
Gibbs phenomenon
glossary of notation
Good-Thomas FFT algorithm
gradient
Gram-Schmidt orthogonalization
graphic equalizer
graphical computation of amplitude response from transfer-function poles and zeros
graphical convolution
graphical phase response calculation
gravitation
group delay
group delay equals modulation delay
group-additive synthesis
group-delay filters
guard bits
GUI generation
gyration
gyrator
Haar filter bank
Hadamard matrix
half-angle tangent identities
half-open interval
half-power bandwidth
half-rate waveguide filter
Hamming window
Hammond organ
Hann window
Hann-Poisson window
Hanning window
hanning window
hard clipping
harmonic
harmonic comb
harmonic distortion
heat capacity
Heaviside unit step function
Heisenberg uncertainty principle
Helmholtz motion
Henrys
Hermitian
Hermitian conjugate
Hermitian spectrum
Hermitian symmetry
Hermitian transpose
Hertz
heterodyne-comb
hexadecimal
high shelf
Hilbert space
Hilbert transform
Hilbert transform filter design
Hilbert transform kernel
Hilbert transform relations
history of ideas
history of spectral modeling
Hookes law
Hookes law for ideal springs
hop size
Horners rule
horns
Householder FDN feedback matrix
Householder reflection
Hurwitz polynomial
Huygens-Fresnel principle
hysteresis
Hz
ideal bar
ideal gas law
ideal lowpass filter
ideal mass
ideal spring
idempotent
identity matrix
identity system
IDFT
ill posed PDE
image method
imaginary exponents
imaginary part
imedance of a terminated string
immittance
impedance
impedance analysis
implicit finite difference scheme
implicit finite difference schemes
implicit method
impulse
impulse expanders
impulse invariant transformation
impulse response
impulse response sampling
impulse signal
impulse train
impulse, continuous time
impulse, sinc
impulse-invariant method
impulse-train signal
incompressible flow
independent events
independent random variables
index of refraction
indicator function
induced norm
inductor
inductors as masses
inelastic collision
inertia
inertial frame
initial conditions
initial state
initial-condition response
inner product
inner product in matlab
innovations sequence
instantaneous amplitude
instantaneous frequency
instantaneous loudness
instantaneous nonlinearity
instantaneous phase
integrable function
integrator
intensity
intensity level
intensity, acoustic
intermodulation distortion
Internet links
interpolated delay line
interpolated table lookup
interpolating read
interpolation kernel
interpolation operator
interreciprocal
intrinsic momentum
inverse DFT
inverse DFT matrix
inverse filter
inverse filtering
inverse square law
inverse-FFT synthesis
invfreqz example
inviscid
irreducible
isentropic
isothermal
ITU-R 468 noise weighting
JCRev
jets
Jordan block
Jordan canonical form
Jordan form of a matrix
joules
Kaiser window
Kaiser-Bessel window
Karplus-Strong algorithm
Karplus-Strong history
Karplus-Strong, extended
Kelly-Lochbaum scattering junction
kinetic energy
L2 norm
ladder filter
ladder waveguide filter
ladder, reflecting termination
LADSPA plugins
lag
lagged product
Lagrange interpolation
Laplace transform
Laplacian operator
late reverberation
lateral quadrupoles
lattice filter
Laurent expansion
law of inertia
Lax-Richtmyer equivalence theorem
least squares estimation
least-squares
Leslie block diagram
Leslie effect
level-dependent gain
lever arm
leverage
Levinson recursion
likelihood function
limiter
linear algebra
linear combination
linear filter
linear inequality constraints
linear interpolation
linear least squares
linear number systems for digital audio
linear objective
linear operator
linear phase
linear phase in audio applications
linear phase signals
linear phase term
linear prediction
linear programming
linear systems theory
linear transformation
linear vector space
linear, time-invariant filters
linear, time-invariant filters and convolution
linear-phase filter
linearity and time invariance
linearity of the DFT
linearity of the DTFT
linearly dependent
linearly independent
loaded waveguide junction
log-swept sine-wave analysis
logarithm
logarithmic derivative
logarithmic number systems for audio
long division
longitudinal attack pulse
longitudinal quadrupoles
longitudinal wave
lossless
lossless analog filters
lossless filter
lossless filter examples
lossless transfer function matrix
lossy wave propagation
loudness
low shelf
Lp norms
LPC
LTI filter matrix
LTI filters
LTI implications
lumped-parameter analysis
lumping distributed losses
machine epsilon
magnetic pickup
magnitude frequency response
magnitude of a sinusoid
magnitude spectrum
magnitude-only analysis/synthesis
magnitude-only reconstruction
main lobe
main-lobe bandwidth
mantissa
marginally stable
Markov parameters
masking
Masons gain formula
Masons gain theorem
mass
mass density
mass disk
mass moment of inertia
mass moment of inertia tensor
mass-spring chain
mass-spring oscillator, energy
mass-spring-wall
mass-string collision
matched filter
matched z transformation
math summary
matlab
matlab examples
Matlab/Octave examples
matrices
matrix
matrix fraction descriptions
matrix multiplication
matrix representations
matrix, triangular
matrix-pencil method
maxima, the symbolic math program
maximally flat
maximum-phase filters
maximum-phase sequence
mean free path
mean of a distribution
mean of a random process
mean of a random variable
mean of a signal
mean square
mean value
mechanical impedance
mechanics
median smoother
membrane wave equation
memoryless nonlinearity
MIMO allpass filter
MIMO digital filter
minimum phase
minimum phase and causal cepstra
minimum phase filters
minimum-delay sequence
minimum-delay signals
minimum-phase = fastest decay
minimum-phase allpass decomposition
minimum-phase computation from spectral magnitude data
minimum-phase conversion of a spectrum
minimum-phase filter design
minimum-phase filters and signals
minimum-phase sequence
mixed radix
mixed-phase filter
mixed-radix FFT
mixing matrix
modal decomposition
modal representation
modal synthesis
mode conversion
mode of vibration
model
modulated delay line
modulated lapped transform
modulation index
modulation theorem
modulation, complex
modulo
modulo indexing
molar mass
moment arm
moment of force
moments of a function
momentum
momentum of center-of-mass
momentum of waves
monic polynomial
monopole term
Moog VCF
Moore-Penrose pseudoinverse
Morlet wavelet
mother wavelet
moving average
moving notches
MPEG filter banks
Mth roots of unity
mu-law coding
multiplication in the time domain is convolution in the frequency domain
multiplicity of a pole
multiplying two numbers convolves their digits
multipole expansion
multirate filter banks
multirate noble identities
multirate systems
multiresolution sinusoidal modeling
multiresolution STFT
munchkinization
Muse Receptor
music information retrieval
musical acoustics
mutually prime
myspectrogram
natural basis
natural logarithm
NDFT
negative-frequency component
nested allpass filter
nested MIMO allpass filter
Newtons laws of motion
Newtons second law
Newtons second law, rotational
noble identities
nodes
noise
noise modeling
noise process
noise spectrum analysis
noise substitution
non-coherent addition of signals
non-removable singularity
nonlinear distortion
nonlinear filter
nonlinear system of equations
nonlinear-phase distortion
nonlinear-phase filter design
nonparametric representation
nonparametric signal processing
nonrecursive digital filter
nonuniform resampling
norm of DFT Sinusoids
norm properties
normal distribution
normal equations
normal mode
normalized DFT
normalized DFT matrix
normalized DFT sinusoids
normalized frequency
normalized ladder filter
normalized radian frequency
normalized scattering junction
normalized second-order resonator
normalized waveguide filter
normed
normed linear vector space
notation glossary
notch
notch filter
notch frequency
Nth roots of unity
null
number systems for digital audio
number theoretic transform
numerical integration
numerical issues
Nyquist limit
Nyquist rate
Nyquist sampling theorem
oboe spectrum analysis
observable modes
observer canonical form
octal
Octave
octave filter bank
Octave Symbolic Manipulation Toolbox
odd and even functions
odd functions
odd impulse response
oddly stacked
Ohms law
Ohms Law
Ohms law for traveling waves
one-filter scattering junction
one-multiply scattering junction
one-parameter waves
one-pole filter
one-pole resonator, complex
one-port network
one-sided Laplace transform
one-to-one
one-zero filter
operator
operator notation
operator theory
optimality in the Chebyshev sense
optimized windows
order of a state-space system
ordinary differential equation
orthogonal basis computation in matlab
orthogonal complement
orthogonal matrix
orthogonal projection
orthogonal projection matrix
orthogonal two-channel filter banks
orthogonality
orthogonality of DFT sinusoids
orthogonality of sinusoids
orthogonality principle
orthonormal
outer disk
output error minimization
overcomplete basis
overdamped
overlap-add
oversampled filter banks
overtone
Padé approximation
Padé-Prony method for filter design
panning
para-Hermitian conjugate
parabola
parabolic interpolation bias
paraconjugate
paraconjugate transfer function
parallel and series filter sections
parallel axis theorem
parallel combination
parallel combination of one-ports
parallel complex resonator
parallel connection
parallel second-order filter bank
parallel second-order filter sections
parallel sos in matlab
parametric equalizer
parametric model
parametric spectrum analysis
paraunitary filter bank
paraunitary matrix transfer function
paraunitary MIMO filters
Parks-McClellan algorithm
Parsevals theorem
partial derivative
partial differential equation
partial fraction expansion
partial overtone
particle velocity
partition of unity property
passband
passive
PCM
peak amplitude
peak detection
peak filter
peak gain
peak gain versus resonance gain
peak matching
peak meter
peak-finding
peak-finding in matlab
peak-tracking in spectrogram
peaking eq filters
perceptual audio coding
percussion synthesis
perfect reconstruction
perfect reconstruction filter bank
periodic
periodic extension
periodic interpolation
periodic signal
periodic sinc function
periodogram
periodogram method for power spectrum estimation
perpendicular axis theorem
phantom partials
phase
phase delay
phase dispersion
phase interpolation
phase modulation
phase modulation envelopes
phase negation
phase offset
phase response
phase unwrapping
phase velocity
phase vocoder
phaser
phasiness
phasor
phasor analysis
phasor representation
phon amplitude scale
phoneme
phons
physical models
physical signal model
physical state
physical units
physics and mechanics
piano synthesis
piecewise constant-phase filters
piecewise constant-phase spectra
piecewise linear approximation
pink noise
pipe organs
pitch detection
pitch estimation
pitch shifting
plane wave
plasmas
pluck control
pluck modeling
plucked string synthesis model
plugins
point mass
point source
Poisson summation formula
Poisson window
polar coordinates
polar form
polar form of a complex number
polar form of freq. response
pole
pole mapping
pole-zero analysis
pole-zero cancellation
poles
poles and zeros
poles of a state-space model
poles outside unit circle
polynomial amplitude envelopes
polynomial growth
polynomial interpolation
polynomial multiplication
polyphase component filters
polyphase components
polyphase decomposition
polyphase filter bank
polyphase matrix
polyphase signals
port
Portnoff window
positive and negative frequencies
positive real functions
positive-frequency sinusoid
positive-frequency sinusoid
potential energy
potential energy of a spring
power
power complementary
power reflection frequency response
power spectral density
power spectral density estimation
power spectrum
power theorem
power theorem, normalized DFT
power waves
power-normalized waveguide filters
predelay
prediction coefficients
prediction error
preemphasis
preprocessing
pressure
pressure in a gas
pressure recovery
prime-power delay-line lengths
primitive root of unity
Princen-Bradley filter bank
principal axes of rotation
principal direction
principal moment of inertia
principle of least action
probability density function
probability distribution
processing gain
products of inertia
projection error
projection in matlab
projection matrix
projection of signals
projection sum
prolate spheroidal wave function
prolate spheroidal window
Pronys method
pseudo-inverse
Pseudo-QMF filter bank
pseudoinverse
Pythagorean theorem in N-Space
quadratic convergence
quadratic form
quadratic formula
quadratic interpolation
quadratic residue sequence
quadrupoles
quasi octave filter bank
quasi-harmonic series of modes
Rader FFT
radian frequency
radians per second
radius of gyration
radix 2 FFT
raised-cosine window
random phase
random process
random variable
ratio test
rational function
rational number
Rayleighs energy theorem
RC time constant
re-index
reactance
reaction force
real filter
real part
real signal
real signal DTFT
real vector space
real, even-impulse-response filter
real-frequency-response filter
real-time finite difference schemes
Receptor
recorder
recording-based models
rectangular form
rectangular pulse
rectangular window
rectangular window side-lobes
rectilinear coordinates
recursive filter
reed instruments
reed modeling
reference directions
reflectance
reflecting zeros inside unit circle
reflection coefficient
reflection coefficients
reflection-free port
refraction
region of convergence
remainder term
Remez exchange algorithm
removable singularity
repeat operator
repeat theorem
repeated pole
residual signal
residue
resistor
resolution of frequencies
resolution of spectral peaks
resolution window length
resolving sinusoids
resonance
resonant frequency
resonator
resonator bandwidth
resonator factoring
resources on the Internet
response to initial conditions
resultant moment
reverberation
reverberation time
reverse polyphase decomposition
reversible adiabatic process
rheotomes
Riemann Lemma
right-half plane
right-hand rule
right-hand screw
rigid string terminations
ring modulator
ring time
ripple
rms level
roll-off
roll-off rate
root mean square
root-power waves
roots of a polynomial
roots of unity
rotary inertia
rotational dynamics
rotational kinetic energy
rotational relaxation
round-off error variance
row vector
running weighted sum
running-sum lowpass filter
S+N+T time scale modification
sample autocorrelation
sample circular cross-covariance
sample coherence function
sample mean
sample mean of a random process
sample power spectral density
sample variance
sampled rectangular pulse
samples
sampling an instrument
sampling interval
sampling synthesis
sampling theorem
sampling theory
scalar
scalar multiplication
scalar product
scalars
scale factor
scale parameter, wavelets
scaling property of linear systems
scaling theorem
scalogram
scattering
scattering filter
scattering junction
scattering theory
Schroeder allpass comb filter
Schroeder reverberators
Schroeder-Moorer comb filter
Schur function
Schur recursion
Schur-Cohn stability test
Schwarz inequality
second central moment
second moments of a signal
seconds
semitone
sensation level
series and parallel filter sections
series and parallel transfer functions
series combination of one-ports
series connection
series reflection-free port
series second-order sections
set notation
shah symbol
Shannon sampling theorem
shelf filters
shift operator
shift operator notation
shift theorem
shift theorem and FFT windows
shift theorem for z transforms
shift-invariant filter
short-time Fourier transform
shufflers
side band
side-lobe width
sideband images
sidelobes
sifting property
signal energy
signal flow graph
signal metrics
signal mix
signal model
signal models
signal operators
signal projection
signal scattering
signal space
similarity theorem
similarity transformation
similarity transformation matrix
similarity transformations
simulation diagram
sinc function
sinc function, aliased
sine cardinal
sine window
sine-wave analysis
sines+noise spectral modeling
sines+noise synthesis
sines+noise+transients
singing voice synthesis
singular matrix
sinusoid
sinusoid generators
sinusoidal amplitude estimation
sinusoidal amplitude modulation
sinusoidal model
sinusoidal modeling
sinusoidal spectrum analysis
sinusoids and exponentials
sinusoids at the same frequency
sinusoids, importance of
SISO digital filter
skew-Hermitian
slap-back effect
Slepian window
sliding DFT
sliding FFT
sliding linear combination
smoothing example
smoothing, frequency domain
Snells Law
soft clipper
software
solid of revolution
sone amplitude scale
sones
sound examples
sound speed
source-filter decomposition
source-filter model
source-filter synthesis
space-fixed frame
sparse state-space model
spatial derivatives
spatial impression
spatial sampling interval
specific heat
specific loudness
spectral display
spectral envelope
spectral graphs
spectral interpolation
spectral leakage
spectral magnitude representation
spectral modeling
spectral modeling synthesis
spectral models
spectral modifications
spectral norm
spectral plot
spectral power
spectral representation
spectral resolution
spectral signal models
spectral transformations
spectrogram
spectrogram in matlab
spectrogram parameters
spectrum
spectrum analysis
spectrum complex conjugate
specular reflection
speech spectrogram
speech synthesis
speech synthesis examples
speed of sound
spherical spreading loss
spherical wave
spherical-harmonic expansion
SPL
split radix
split-radix FFT
spring and free mass
spring constant
spring force
spring, nonlinear
spring-mass system
square integrable
square law nonlinearity
stability margin
stability of a digital filter
stability of finite differences
stability of nonlinear delay loops
stability proof for a conical cap
stable system
standard deviation
standing wave
state conversions
state definition
state machines
state of an ideal string
state space filter
state space model
state space to modal representation
state transformation, vibrating string
state transition matrix
state variable
state variables
state-space analysis, digital waveguide oscillator
stationary
stationary stochastic process
statistical mechanics
statistical signal processing
statistical thermodynamics
Steiglitz-McBride algorithm
Steiglitz-McBride iterations
step-down procedure
stereo panning
stiff string F0 estimation
stiff string simulation
stiff string synthesis
stiffness
stiffness term
stochastic part
stochastic process
Stone-Weierstrass polynomial approximation theorem
stopband
strain
stretch operator
stretch rule for moment of inertia
stretch theorem
strict right-half plane
strictly proper transfer function
strictly stable
strong COLA constraint
structured sampling
Sturm-Liouville formulation
subspace
subspace projection
subtractive synthesis
sum and difference frequencies
sum of sinusoids
superposition property
superposition property of linear systems
susceptance
sustain level
symmetric FIR filters
symmetric impulse response
symmetric linear-phase FIR filter
symmetric Toeplitz operator
symmetric top
symmetry of DTFT, real signals
synthesis filter bank
synthesis, additive
synthesis, sampling
system diagram
system function
system identification
tangential speed
tapped delay line
Taylor series
Telharmonium
Tellegens theorem
temperature
temporal energy density
tension modulation
tension of a string
termination, moving
theorems for the DFT
thermal diffusion
Thiran allpass interpolation
third-octave filter bank
time compression/expansion
time constant
time constant of a pole
time domain
time limited
time normalized
time reversal and the DTFT
time reversal inverts the locations of all zeros
time scale modification
time-bandwidth product
time-delay spectrometry
time-domain aliasing
time-domain difference operators
time-invariant filter
time-limited interpolation
time-limited signals
time-varying OLA modifications
Timoshenko beam theory
Toeplitz linear operator
Toeplitz matrix
tonal correction filter
tone wheels
tonehole modeling
torque
total internal reflection
total variation
tracking peaks in spectrograms
transcendental number
transfer characteristics
transfer function
transform coders
transform pair
transformer, waveguide
transient
transient models
transient response
transition band
transition frequency
translational kinetic energy
transmission coefficient
transmittance
transpose of a complex matrix
transpose of a filter
transpose of a matrix product
transpose, filter bank
transposed tapped delay line
transposing the signal flow graph
transposition of a flow graph
transversal filter
transverse displacement
transverse waves
trapezoidal rule
traveling sinusoidal plane waves
traveling waves
tremolo
tremolo effect
triangular matrices
triangular window
trig identities
trigonometric identity summary
tube, waveguide model
tunable two-pole digital filters
tunneling
twiddle factor
twiddle factors
twos complement wrap-around
two-multiplier lattice filter
two-pole filter
two-pole partial fraction expansion
two-pole time-varying filter
two-sided Laplace transform
two-sided Taylor expansion
two-zero filter
unbiased cross-correlation
unbiased estimator
uncertainty principle
undamped
underdamped
unilateral Laplace transform
unilateral z transform
unimodular polynomial matrix
unit element
unit step function
unit-delay operator
unitary
unitary frequency-response matrix
unitary matrix
Univibe
unstable poles
unwrapping phase
variable resonator
variable two-pole digital filters
variance
variance of a random variable
vector addition
vector calculus
vector coordinate
vector cosine
vector cosine in matlab
vector cross product
vector equation of motion
vector feedback comb filter
vector product
vector representation of signals
vector space
vector subtraction
vector wavenumber
vectorized algorithms
velocity reflectance
velocity reflection transfer function
vibration relaxation
vibrato simulation
virtual analog
virtual analog synthesis
virtual displacement
virtual musical instrument
virtual work
viscosity
vocoder
voder
voice modeling history
voice synthesis
voltage divider
voltage divider rule
voltage source
voltage transfer
voltage transfer interconnections
voltage-controlled filters
Volterra kernels
volume velocity
von Neumann analysis
vowel simulation
VST plugins
wave digital filter
wave digital filters
wave equation
wave impedance
wave momentum
wave variables
wave velocity
waveform dispersion
waveguide filter
waveguide mesh
waveguide mesh applications
waveguide network
waveguide oscillator
waveguide reverb
waveguide theory
waveguide transformer
wavetable synthesis
weak COLA constraint
Websters horn equation
wedge product
Weierstrass polynomial approximation theorem
weighted least squares
weighting function
Welch autocorrelation
Welchs method
Welchs method, spectrum analysis
Welchs method, windowed
well posed initial-value problem
well posed PDE
white noise
whitening filter
Wiener-Hopf equations
window
window method for FIR filter design
window method, FIR filter design
windowed sinc interpolation
windowing in the time domain equals smoothing in the frequency domain
Winograd transform
work
yielding string terminations
Youngs modulus
Yule-Walker equations
z transform
zero at infinity
zero initial state
zero padding
zero padding example
zero padding in the time domain equals ideal interpolation in the frequency domain
zero padding, causal
zero phase signal
zero phase signals
zero-centered
zero-input response
zero-padding theorem
zero-phase filter
zero-phase signal
zero-phase windows
zero-state response
zeros of a filter
zeros of a polynomial
zita-rev1 reverberator

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