20 dB boost

3 dB boost

3-dB bandwidth

3D sound

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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