JOS Home
JOS Site Map
Global JOS Index (a sampling of the HTML files on this website)
20 dB boost
3 dB boost
3-dB bandwidth
C++ debugging in gdb
coherenceml
A-weighted dB scale
absolutely integrable
acceleration due to gravity
acoustic echo simulation
acoustic energy density
acoustic intensity
acoustic kinetic energy density
acoustic potential energy density
acoustic wave simulation
acoustical ohms
acoustics
acyclic convolution
acyclic FFT convolution
adaptor
additive synthesis
admittance
ADSR envelope
aerofoil
affine function
air absorption
air jets
air pressure
airfoil
alias component matrix
alias operator
aliased sinc function
aliasing
aliasing components
aliasing due to nonlinearity
aliasing operator
aliasing theorem
aliasing theorem for the DTFT
allpass comb filter
allpass condition
allpass filter
allpass filter design
allpass phase shifter
alpha parameters
AM index
Amperes
amplification factor
amplifier cabinet filter
amplifier feedback simulation
amplifier modeling
amplitude
amplitude complementary
amplitude envelope
amplitude envelopes
amplitude of a sinusoid
amplitude response
analog filters
analog prototype
analytic continuation
analytic signal
anti-aliasing lowpass filter
anti-Hermitian
anticausal
anticausal exponentials
antilinear
antilogarithm, antilog
antiresonance frequency
antiresonator
antisymmetric impulse responses
antisymmetric linear-phase filters
arctangent nonlinearity
area moment of inertia
Argand diagram
asinc function
associate peaks
attack level
audio spectrogram
audio spectrogram hop size
auditory filter
auditory filter bank
auditory filter banks
autocorrelation
autocorrelation computation
autocorrelation function
average
average power
Banach space
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 warping
Bartlett window
baseband signal
beats
bel
bell models
bending angle
Bernoulli effect
Bernoulli equation
Bessel filter
Bessel function
Bessel generating function
beta parameters
bias
bias of parabolic interpolation
biased sample autocorrelation
bibliography
bidirectional delay line
bilateral Laplace transform
bilateral z transform
bilinear transform
bilinear transform frequency warping
bilinear transformation
bin number
bin numbers
binomial coefficient
biquad filter section
Blackman window
Blackman window matlab example
Blackman-Harris window
Blackman-Harris window family
Blackman-Harris window, frequency-domain implementation
blocking capacitor
Bluestein FFT
Bode plot
body factoring example
body-resonator factoring
boost
bounded variation
bow-string dynamics
bowed strings
brass instruments
brass mouthpiece
break frequency
brown noise
Butterworth filters
Butterworth lowpass example
canonical with respect to delay
capacitor
capacitor driving point impedance
capacitors as springs
cardinal sine
carrier frequency
carrier term
carrier wave
Cartesian coordinates
Cauchy sequence
Cauchy-Schwarz inequality
causal
causal filters
causal signal
causal signals
causal signals, periodic
causal zero padding
causalperiodicsignals
center frequency of a resonator
center of mass
centered finite difference approximations
centroid
cepstral smoothing
cepstrum
chain rule
characteristic function
characteristic impedance
characteristic of a logarithm
characteristic polynomial
characteristic polynomial equation
Chebyshev polynomials
chirp signal
chirp signals
chirp z transform algorithm
chirp, Gaussian-windowed
chirplet
chirplet modeling
chirplets
chorus effect
circulant matrix
circular convolution
circular cross-correlation
citations by topic
clarinet tonehole as a two-port junction
click removal
clipping
clipping function
clipping nonlinearity
closed waveguide networks
cluster point
CODEC
coefficient of inharmonicity
coefficient of projection
coefficients, difference equation
coherence function
coherent addition of signals
COLA constraint
COLA constraint, frequency domain
COLA dual
colored noise
column vector
comb filter
common logarithm
commutativity of convolution
commutativity of series filters
commuted piano synthesis
commuted synthesis
companding
compatible port connection
compiling from emacs
complete response
completing the square
complex amplitude
complex analysis
complex and trig identities
complex cepstrum
complex conjugate
complex demodulation
complex exponential
complex filter
complex Gaussian integral
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 sinusoid
complex sinusoidal oscillator
complex vector space
compliance
compression velocity
computational physical model
concave
concave hull
condition number
cone-cylinder intersection
conformal map
conical acoustic tubes
conical cap reflectance
conical tube junction
Conjugate Quadrature Filters
conservation of energy
conservation of momentum
conservative forces
consistency of finite differences
constant modulus
constant overlap-add property
constant peak-gain resonator
constant resonance-gain resonator
constant-overlap-add
continuous probability distribution
continuous-time aliasing
continuous-time complex one-pole resonator
controllability and observability
controllable modes
controller canonical form
convergence of finite difference schemes
convergence, existence of minimizer
convergence, global
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
convolution, continuous time
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
cps
crests
critical band of hearing
critical bandwidth of hearing
critically damped
cross synthesis
cross-correlation
cross-correlation, circular
cross-correlation, unbiased
cross-covariance
cross-power spectral density
cross-spectral density
cross-talk
cubic nonlinearity
cubic polynomial phase interpolation
cubic soft clipper
cubic spline
current
cut filter
cut-off frequency
cycles per second
cyclic autocorrelation
cyclic convolution
cyclic FFT convolution
cylinder with conical cap
daemon
damping constant
damping filter design
dashpot
dB clipping
dB for display
dB per decade
dB per octave
dB properties
dB scale
dB SPL
dBA
dBm scale
dBV scale
dc blocker
dc blocker frequency response
dc blocking filter
dc sampling filter
DCT
de Moivres theorem
de Moivres theorem, proof
debugging software in gdb
decay response
decay time
decay time-constant
decibel
decimal numbers
decimation
decimation in frequency
decimation in time
decimation operator
decimation theorem
deconvolution
degeneracy
delay effects
delay equalization
delay line
delay lines, time-varying applications
delay operator notation
delta function
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
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 design
digital filter design, FIR
digital filter theory
digital waveguide
digital waveguide mesh
digital waveguide models
direct form filter implementation
direct form filter implementations
directional derivative
Dirichlet function
discrete probability distribution
discrete-time sinusoid
dispersion
dispersion filter design
dispersion filtering
dispersion relation
dispersive 1D wave equation
dispersive wave propagation
displacement waves
Dolph window
Dolph-Chebyshev and Hamming windows compared
Dolph-Chebyshev window
Dolph-Chebyshev window length computation
Dolph-Chebyshev window, theory
Doppler effect
Doppler shift
doublet
doubling effect
downsampling
downsampling operator
downsampling theorem
DPSS window
driving point impedance
driving-point impedance
DSSI plugin
DSSI/LADSPA plugin debugging
DTFT
DTFT Fourier theorems
Durbin recursion
dynamic convolution
dynamic range
dynamic range compression
dynamic range of magnetic tape
dynamic scattering junction
early reflections
echo
EDR-based loop filter design
effective length of a window
eigenpolarizations
eigenvalues
eigenvector
elastic collision
elastic solids
electrical equivalent circuit
elliptic norm
embouchure control
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
equilibrium
equiripple
equivalent rectangular bandwidth
error weighting function
essential singularity
Euclidean norm
Eulers identity
Eulers Identity
evanescent
evanescent wave
even and odd functions
even impulse-response filter
even part
example .gdbinit file
example elementary audio filters
excess air pressure
excitation pattern
existence of the z transform
expected value
experimental fact
explicit finite difference scheme
exponential function summary
exponential order
exponential window
exponentially swept sine analysis
exponentially windowed
exponentials
Extended Karplus-Strong algorithm
extended lapped transforms
F0
F0 estimation
factored form of a polynomial
factorial notation
factoring a polynomial
Farads
Farrow structure
fast convolution
Faust programming language
FBS modifications
feedback coefficients
feedback comb filter
feedback delay network
feedback FM
feedback howl
feedback signal
feedforward coefficients
feedforward comb filter
FFT
FFT convolution
FFT convolution speed
FFT input buffer
FFT notation
FFT window
fftshift utility in matlab
filter
filter bank summation interpretation of the STFT
filter bank, perfect reconstruction
filter banks
filter design
filter-bank interpretation of the STFT
filtered feedback comb filter
filtered node variables
filtered white noise
filtered-feedback comb filter
filtering per sample
finite difference approximation
finite difference schemes
finite difference time domain scheme
finite support
finite-difference time-domain
finite-impulse-response
finite-impulse-response filter
finite-order causal LTI digital filters
FIR filter
FIR filter design
FIR fractional delay filter
FIR part
first-order moment
flanger
flangers
flare constant
flip operator
flip theorem for z transforms
flow graph
flow graph reversal
flow-graph reversal theorem
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
formant
formant filtering
formants
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
Fourier transforms for continuous/discrete time/frequency
fractional delay filter
fractionally iterated convolution
fractionally iterated multiplication
frame
frequencies
frequency bin
frequency domain
frequency modulation
frequency resolution
frequency response
frequency sampling for FIR filter design
frequency shift
frequency shifting
frequency trajectories
frequency warping
frequency-domain aliasing
frequency-domain equation-error minimization
friction force
Frobenious norm
function inverse
functional
fundamental theorem of algebra
gain at resonance
gas pressure
gases
Gaussian chirp
Gaussian distributed
Gaussian function
Gaussian integral
gaussian pulse
Gaussian random variable, closed under addition
Gaussian window
Gaussian window function
Gaussian, Fourier transform of
Gaussian-windowed chirp
gdb debugging
gdb in emacs
generalized eigenvectors
generalized function
generalized Hamming window family
generalized scattering coefficients
geometric sequence
geometric sequence frequencies
geometric series
geometric signal theory
Gibbs phenomenon
Gibbs phenomenon
global convergence, conditions for
global minimizer
glossary of notation
Good-Thomas FFT algorithm
gradient
Gradient Method
Gram-Schmidt orthogonalization
graphic equalizer
graphical computation of amplitude response from transfer-function poles and zeros
graphical convolution
graphical equalizers
graphical phase response calculation
gravitation
gravitation constant
group delay
group delay equals modulation delay
Group-Additive Synthesis
group-delay filters
guard bits
GUI generation
guitar bridge
guitar modeling
gyration
Haar filter bank
Hadamard matrix
half-angle tangent identities
half-open interval
half-power bandwidth
half-rate waveguide filter
Hamming and Dolph-Chebyshev windows compared
Hamming window
Hankel matrix
Hankel norm
Hann window
Hann-Poisson window
hanning window
Hanning window
hard clipper
harmonic
harmonic distortion
Heaviside unit step function
Heisenberg uncertainty principle
Henrys
Hermitian
Hermitian conjugate
Hermitian spectrum
Hermitian symmetry
Hermitian transpose
Hertz
Hessian
hexadecimal
high shelf
Hilbert transform
Hilbert transform filter design
Hilbert transform relations
history of ideas
Hookes law
Hookes law for ideal springs
hop size
horizontal & vertical transverse waves
horns
Householder feedback matrix, FDNs
Householder reflection
Hurwitz polynomial
Huygens principle
Huygens-Fresnel principle
Hz
ideal bar
ideal lowpass filter
ideal mass
ideal spring
idempotent
identity matrix
IDFT
ill posed PDE
image method
imaginary exponents
imaginary part
immittance
impedance
impedance analysis
implicit finite difference scheme
implicit finite difference schemes
impulse
impulse expanders
impulse invariant method
impulse invariant transformation
impulse response
impulse response sampling
impulse signal
impulse train
impulse, continuous time
impulse, sinc
impulse-train signal
incompressible flow
independent events
independent random variables
index of refraction
indicator function
induced norm
inductor
inductors as masses
inelastic collision
inertia
initial conditions
initial state
initial-condition response
inner product
inner product in matlab
instantaneous frequency
instantaneous loudness
instantaneous nonlinearity
instantaneous phase
integrable function
integrator
intensity
intensity level
intensity, acoustic
intermodulation distortion
interpolated delay line
interpolation kernel
interpolation kernel, spectral, ideal
interpolation of a DFT
interpolation operator
interreciprocal
inverse DFT
inverse DFT matrix
inverse FFT synthesis
inverse filter
inverse filtering
inverse filtering matlab code
inverse square law
inviscid
irreducible
iterated convolution
ITU-R 468 noise weighting
JCRev
jets
Jordan block
Jordan canonical form
Jordan form of a matrix
Joules
Kaiser window
Kaiser window beta parameter
Kaiser-Bessel window
Karplus-Strong algorithm
Karplus-Strong history
Karplus-Strong, extended
Kelly-Lochbaum model
Kelly-Lochbaum scattering junction
kinetic energy
kinetic energy of a mass
kinetic theory of ideal gases
L2 norm
ladder filter
ladder waveguide filters
LADSPA plugin
LADSPA plugins
lag
lagged product
Lagrange interpolation
Lagrange interpolation, explicit coefficient formula
Laplace transform
late reverberation
Laurent expansion
law of inertia
Lax-Richtmyer equivalence theorem
least squares estimation
least squares sinusoidal parameter estimation
least-squares
Legendre sequence
Leslie effect
level-dependent gain
Levinson recursion
LFO
likelihood function
limiter
linear algebra
linear combination
linear filter
linear functional
linear interpolation
linear least squares
linear number systems for digital audio
linear operator
linear phase
linear phase in audio applications
linear phase signals
linear phase term
linear prediction spectral envelope
linear space
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
local minimizer
log-swept sine-wave analysis
logarithm
logarithmic derivative
logarithmic number systems for audio
long division
long-term loudness
longitudinal wave
longitudinal waves
longitudinal waves in rods
lossless
lossless analog filters
lossless filter
lossless filter examples
lossless filters
lossless prototype
lossless transfer function matrix
losslessness of FDNs
lossy wave propagation
loudness
loudness spectrogram
loudness spectrogram, examples
loudness versus time
loudness versus time and frequency
low shelf
low-pass filtering by FFT
lowpass filter, ideal
Lp norms
LTI filter matrix
LTI filters
LTI implications
lumped models
lumped-parameter analysis
lumping distributed losses
machine epsilon
magnitude frequency response
magnitude of a sinusoid
magnitude spectrum
magnitude-only analysis/synthesis
main lobe
main-lobe width
mantissa
marginally stable
Markov parameters
masking
Masons gain formula
Masons gain theorem
mass
mass moment of inertia
mass-spring oscillator, energy
matched filter
matched z transformation
math summary
matlab
matlab examples
Matlab/Octave examples
matrices
matrix
matrix fraction descriptions
matrix multiplication
matrix norm
matrix representations
matrix, triangular
maximally flat
maximum likelihood estimator
maximum likelihood sinusoidal parameter estimation
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 analysis
mechanics
median smoother
memoryless nonlinearity
metric space
MIMO allpass filter
MIMO digital filter
minimum phase
minimum phase filters
minimum phase means a causal cepstrum
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 expansion
modal representation
modal synthesis
mode extraction techniques
mode of vibration
modulated delay line
modulated lapped transform
modulation index
modulo
modulo indexing
moment of inertia
moments of a function
momentum
momentum conservation
monic polynomial
Moog VCF
Moore-Penrose pseudoinverse
moving average
moving notches
MPEG filter banks
Mth roots of unity
mu-law coding
multi-resolution STFT
multiplication in the time domain is convolution in the frequency domain
multiplicity of a pole
multiplying two numbers convolves their digits
multirate filter banks
multirate noble identities
multiresolution sinusoidal modeling
multiresolution STFT
munchkinization
mutually prime
natural logarithm
NDFT
negative-frequency component
nested allpass filters
nested MIMO allpass filter
Newtons laws of motion
Newtons laws of motion, examples
Newtons method
Newtons second law
noble identities
noise
noise process
noise spectrum analysis
noise, filtered
non-coherent addition of signals
non-cylindrical acoustic tubes
non-parametric
non-removable singularity
nonlinear distortion
nonlinear element
nonlinear filter
nonlinear phase distortion
nonlinear spectral phase modification
nonlinear system of equations
nonparametric representation
nonparametric resonator factoring
nonparametric signal processing
nonrecursive digital filter
nonuniform resampling
norm
norm of DFT Sinusoids
norm properties
normal distribution
normalized DFT
normalized DFT matrix
normalized DFT sinusoids
normalized frequency
normalized radian frequency
normalized scattering junction
normalized second-order resonator
normalized waveguide filter
normed
normed linear space
normed linear vector space
notation glossary
notch
notch filter
notch frequency
Nth roots of unity
null
nulls
number systems for digital audio
number theoretic transform
numerical issues
Nyquist limit
Nyquist rate
Nyquist sampling theorem
oboe spectrum analysis
observable modes
observer canonical form
octal
Octave
Octave Symbolic Manipulation Toolbox
odd and even functions
odd functions
odd impulse response
oddly-stacked Princen-Bradley filter bank
Ohms law
Ohms law for traveling waves
OLA modifications
one-filter dynamic scattering junction
one-multiply scattering junction
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
orthogonal basis computation in matlab
orthogonal complement
orthogonal matrix
orthogonal projection
orthogonal two-channel filter banks
orthogonality
orthogonality of DFT sinusoids
orthogonality of sinusoids
orthogonality principle
orthonormal
outer disk
output error minimization
overdamped
overlap-add
overlap-add convolution in matlab
overlap-add decomposition
overlap-add FFT convolution
overlap-add FFT processor
overlap-add interpretation of the STFT
overlap-add method
overlap-add, with modifications
overtone
Padé approximation
Padé-Prony method for filter design
panning
para-Hermitian conjugate
parabola
paraconjugate
paraconjugate transfer function
paraconjugation
parallel and series filter sections
parallel axis theorem
parallel combination
parallel combination of one-ports
parallel complex resonator
parallel connection
parallel second-order filter sections
parallel sos in matlab
parametric filter design
paraunitary filter bank
paraunitary filter banks
paraunitary matrix transfer function
paraunitary matrix transfer functions
paraunitary MIMO filters
Parsevals theorem
PARSHL
partial fraction expansion
partial overtone
particle velocity
partition of unity property
passband
passive finite difference scheme
passive one-ports
passive reflectance
passive string terminations
passive system properties
PCM
PDF
peak amplitude
peak detection
peak filter
peak gain
peak gain versus resonance gain
peak matching
peak-finding
peaking eq filters
perfect reconstruction
perfect reconstruction filter bank
perfect reconstruction filter bank, conditions for
perfect reconstruction filter banks
perfect reconstruction filter banks, critically sampled
periodic
periodic extension
periodic interpolation
periodic signal
periodic sinc function
periodogram
periodogram method
periodogram method for power spectrum estimation
phase
phase delay
phase dispersion
phase modulation
phase negation
phase offset
phase response
phase shifter, phaser
phase unwrapping
phase velocity
phase vocoder
phaser
phasing
phasor
phasor analysis
phasor representation
phon amplitude scale
phoneme
phons
physical state
physical units
physics and mechanics
piano modeling
piano string
piano synthesis
piecewise constant-phase filters
piecewise constant-phase spectra
pink noise
pitch detection
pitch estimation
pitch shifting
plane wave
plucked string synthesis model
plugin
plugin architectures
plugins
point mass
point source
Poisson summation formula
Poisson summation formula, continuous time
Poisson window
polar coordinates
polar form
polar form of a complex number
polar form of freq. response
polarizations
pole
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