User:SabbaticProductions/Books/Audio Programming

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Audio Programming[edit]

Digital Signal Processing[edit]

Chapter 1: Theory; Detection theory; Nyquist–Shannon sampling theorem; Aliasing; Sine wave; Nyquist rate; Nyquist frequency; Sinc function; Fourier transform; Periodic summation; Poisson summation formula; Fourier series; Discrete-time Fourier transform; Low-pass filter; Anti-aliasing filter; Rectangular function; Whittaker–Shannon interpolation formula; Undersampling; Zero-order hold; Dirac comb; Digital-to-analog converter; Vector-valued function; Moiré pattern; Point spread function; Motorola 56000; Decimation (signal processing); Spatial anti-aliasing; Single-sideband modulation; Baseband; Band-pass filter; Sinc filter; Nonuniform sampling; Compressed sensing; Spectrum; Numerical stability; Necessity and sufficiency; Convex optimization; Lossy compression; Quantization (signal processing); Stochastic process; Trigonometric integral; Harry Nyquist; Karl Küpfmüller; Claude Shannon; Vladimir Kotelnikov; E. T. Whittaker; Eduard Rhein Foundation; Bell Labs; Harold Stephen Black; Digital signal processing; Rounding; Truncation; Analog-to-digital converter; Subroutine; Round-off error; Real number; Sampling (signal processing); Discrete-time signal; 24-bit; 16-bit; 8-bit; Stochastic; Data compression; Rate–distortion theory; Complex number; Floor and ceiling functions; Mean squared error; Decibel; Entropy encoding; Vector quantization; Stairs; Stair riser; Probability density function; Random variable; Entropy (information theory); Deadband; Noise gate; Squelch; Sign function; Generalized normal distribution; Normal distribution; Laplace distribution; Spectral density; White noise; Limit cycle; Noise shaping; Pseudorandomness; Dither; Least significant bit; Standard deviation; Root mean square; Uniform distribution (continuous); Communications system; Signal-to-quantization-noise ratio; Triangle wave; Sawtooth wave; Companding; Dynamic range compression; Closed-form expression; Exponential distribution; Convex hull; Lagrange multiplier; Centroid; Arithmetic coding; Variable-length code; Lloyd's algorithm; Linde–Buzo–Gray algorithm; K-means clustering; Quantile; Quantile function; Inverse function; Cumulative distribution function; Median; Ranking; Quartile; Probability distribution; Interquartile range; Per mille; Statistical population; Sample (statistics); Percentile; MATLAB; Wolfram Mathematica; GNU Octave; Stata; EViews; Estimation theory; SciPy; Maple (software); Empirical distribution function; Bootstrapping (statistics); Standard error; Least absolute deviations; Robust regression; Level of measurement; Box plot; Midhinge; John Tukey; Arithmetic mean; Outlier; Statistics; Descriptive statistics; Robust statistics; Digital data; Signal processing; Audio signal processing; Speech processing; Speech recognition; Data transmission; Digital synthesizer; Sonar; Speech coding; Sound reinforcement system; High fidelity; MP3; Loudspeaker; Audio crossover; Equalization (audio); Digital signal processor; Application-specific integrated circuit; Microprocessor; Stream processing; Digital signal controller; Freescale Semiconductor; Stream Processors, Inc; Field-programmable gate array; Texas Instruments TMS320; A priori and a posteriori; Likelihood function; Thomas Bayes; False alarm; Time series; Sequence; Continuous signal; Estimator; Additive white Gaussian noise; Sample mean and covariance; Expected value; Maximum likelihood estimation; Independence (probability theory); Natural logarithm; Derivative; Cramér–Rao bound; Minimum-variance unbiased estimator; Efficient estimator; Discrete uniform distribution; German tank problem; Sample size determination; Sample maximum and minimum; Interpolation; Bandlimiting; Bandwidth (signal processing); Function (mathematics); Hertz; Dirac delta function; Step function; Multidimensional sampling; Audio signal; Effects unit; Sound; Longitudinal wave; Radio broadcasting; Analog signal processing; Digital electronics; Continuous function; Binary number; Sound pressure; Audio filter; Active noise control; Echo; Reverberation; Overmodulation; Loudness; Medium wave; Shortwave radio; Sound recording and reproduction; Flanging; Chorus effect; All-pass filter; Distortion (music); Pitch correction; Audio time stretching and pitch scaling; Resonator; Ring modulation; Modulation; 3D audio effect; Reverse echo; Speech synthesis; Noise reduction; Stationary process; Linear filter; Frequency response; Autoregressive model; Least squares; Z-transform; Digital control; Arnold Tustin; Control theory; Time-invariant system; Linearity; Transfer function; Möbius transformation; S-plane; Unit circle; Complex plane; BIBO stability; Numerical integration; Trapezoidal rule; Logarithm; Pole (complex analysis); Minimum phase; Zero (complex analysis); RC circuit; Digital biquad filter; Recurrence relation; Digital filter; Discrete Fourier transform; Window function; Partial differential equation; Raster graphics; Numerical analysis; Acronym; Fast Fourier transform; Fourier analysis; List of Fourier-related transforms; Direct current; Mean; Sign convention; Cis (mathematics); Inverse trigonometric functions; Atan2; Cross-correlation; Matched filter; Periodic sequence; Euler's formula; Rader's FFT algorithm; Overlap–save method; Overlap–add method; Trigonometric interpolation; Chirp Z-transform; Vandermonde matrix; Generalizations of Pauli matrices; DFT matrix; Root of unity; Unitary transformation; Unitary operator; Determinant; Orthonormality; Plancherel theorem; Parseval's theorem; Circulant matrix; Modular arithmetic; Pointer (computer programming); Involution (mathematics); Discrete Hartley transform; Eigenvalues and eigenvectors; Matrix polynomial; Identity matrix; Defective matrix; Linear independence; Carl Friedrich Gauss; Characteristic polynomial; Orthogonality; Kravchuk polynomials; Fractional Fourier transform; Hermite polynomials; Probability mass function; Uncertainty principle; Entropic uncertainty; Kronecker delta; Arithmetic–geometric mean; Complex conjugate; Matrix (mathematics); Digital image processing; Function composition; Commutative property; Spectral density estimation; Spectrogram; Variance; Periodogram; Welch's method; Bartlett's method; Filter bank; Linear differential equation; Spectral method; Integer; Multiplication algorithm; Convolution theorem; Composite number; Cooley–Tukey FFT algorithm; Convolution; Geometric progression; Binomial theorem; Parity (mathematics); Dirichlet kernel; Discretization; Gaussian function; Representation theory; Cyclic group; Class function (algebra); Representation theory of finite groups; Discrete Fourier transform (general); Finite field; Finite group; Fourier transform on finite groups; Time–frequency analysis; Discrete wavelet transform; Wavelet; Number; Normalized frequency (unit); Harmonic; Spectral leakage; Finite impulse response; Circular convolution; Heaviside step function; Cauchy principal value; Distribution (mathematics); Differentiator; Hilbert transform; Generalized function; Infinite impulse response; Impulse invariance; Chebyshev filter; Butterworth filter; Elliptic filter; Matched Z-transform method; Bilinear transform; Laplace transform; Discrete time and continuous time; Starred transform; Applied mathematics; Line integral; Residue theorem; Frequency domain; Time-scale calculus; Standard score; Fisher transformation; Pierre-Simon Laplace; Advanced z-transform; John R. Ragazzini; Lotfi A. Zadeh; Generating function; Laurent series; Abraham de Moivre; Formal power series; Imaginary unit; Radian; Argument (complex analysis); Causal system; Probability-generating function; Radius of convergence; Geometric series; Pole–zero plot; Upsampling; Multiplication; Initial value theorem; Final value theorem; Impulse response; Linear time-invariant theory; Autoregressive–moving-average model; Fundamental theorem of algebra; Fraction (mathematics); Zero of a function; Partial fraction decomposition; Homothetic transformation; Frequency; Time; Eigenfunction; Israel Gelfand; Exponential function; Translation (geometry); Zak transform; Distortion; Artifact (error); Aliasing (computing); Digital audio; Signal reconstruction; Wagon-wheel effect; Negative frequency; Digitization; Wave field synthesis; Light field; Stereo display; Lenticular printing; Parallax; 3D film; Stereoscopy; Yaw (rotation); Fundamental frequency; Wavelength; Signal; Sample-rate conversion; Dots per inch; Half-band filter; Cutoff frequency; Polynomial interpolation; MIMO; Heterodyne; Orthogonal frequency-division multiplexing; Beamforming; Frequency-division multiplexing; Symbol rate; Electrical telegraph; Passband; Oxford English Dictionary; Hearing range; 44,100 Hz; Audio bit depth; Noise; Phase distortion; Integrated circuit; Analogue filter; Signal-to-noise ratio; Noise power; Uncorrelated random variables; Delta-sigma modulation; Transition band; Nonlinear system; Finite set; Countable set; Uncountable set; Automatic gain control; Eventually (mathematics); Sample and hold; Jitter; Noise (electronics); Analogue electronics; Slew rate; Capacitor; Arbitrarily large; Oversampling; Linear function; Pulse-code modulation; Auditory system; Professional audio; Audio Engineering Society; Intermodulation; Johnson–Nyquist noise; Speech; Phoneme; G.711; Analytic signal
Chapter 1: Theory; Detection theory; Nyquist–Shannon sampling theorem; Aliasing; Sine wave; Nyquist rate; Nyquist frequency; Sinc function; Fourier transform; Periodic summation; Poisson summation formula; Fourier series; Discrete-time Fourier transform; Low-pass filter; Anti-aliasing filter; Rectangular function; Whittaker–Shannon interpolation formula; Undersampling; Zero-order hold; Dirac comb; Digital-to-analog converter; Vector-valued function; Moiré pattern; Point spread function; Motorola 56000; Decimation (signal processing); Spatial anti-aliasing; Single-sideband modulation; Baseband; Band-pass filter; Sinc filter; Nonuniform sampling; Compressed sensing; Spectrum; Numerical stability; Necessity and sufficiency; Convex optimization; Lossy compression; Quantization (signal processing); Stochastic process; Trigonometric integral; Harry Nyquist; Karl Küpfmüller; Claude Shannon; Vladimir Kotelnikov; E. T. Whittaker; Eduard Rhein Foundation; Bell Labs; Harold Stephen Black; Digital signal processing; Rounding; Truncation; Analog-to-digital converter; Subroutine; Round-off error; Real number; Sampling (signal processing); Discrete-time signal; 24-bit; 16-bit; 8-bit; Stochastic; Data compression; Rate–distortion theory; Complex number; Floor and ceiling functions; Mean squared error; Decibel; Entropy encoding; Vector quantization; Stairs; Stair riser; Probability density function; Random variable; Entropy (information theory); Deadband; Noise gate; Squelch; Sign function; Generalized normal distribution; Normal distribution; Laplace distribution; Spectral density; White noise; Limit cycle; Noise shaping; Pseudorandomness; Dither; Least significant bit; Standard deviation; Root mean square; Uniform distribution (continuous); Communications system; Signal-to-quantization-noise ratio; Triangle wave; Sawtooth wave; Companding; Dynamic range compression; Closed-form expression; Exponential distribution; Convex hull; Lagrange multiplier; Centroid; Arithmetic coding; Variable-length code; Lloyd's algorithm; Linde–Buzo–Gray algorithm; K-means clustering; Quantile; Quantile function; Inverse function; Cumulative distribution function; Median; Ranking; Quartile; Probability distribution; Interquartile range; Per mille; Statistical population; Sample (statistics); Percentile; MATLAB; Wolfram Mathematica; GNU Octave; Stata; EViews; Estimation theory; SciPy; Maple (software); Empirical distribution function; Bootstrapping (statistics); Standard error; Least absolute deviations; Robust regression; Level of measurement; Box plot; Midhinge; John Tukey; Arithmetic mean; Outlier; Statistics; Descriptive statistics; Robust statistics; Digital data; Signal processing; Audio signal processing; Speech processing; Speech recognition; Data transmission; Digital synthesizer; Sonar; Speech coding; Sound reinforcement system; High fidelity; MP3; Loudspeaker; Audio crossover; Equalization (audio); Digital signal processor; Application-specific integrated circuit; Microprocessor; Stream processing; Digital signal controller; Freescale Semiconductor; Stream Processors, Inc; Field-programmable gate array; Texas Instruments TMS320; A priori and a posteriori; Likelihood function; Thomas Bayes; False alarm; Time series; Sequence; Continuous signal; Estimator; Additive white Gaussian noise; Sample mean and covariance; Expected value; Maximum likelihood estimation; Independence (probability theory); Natural logarithm; Derivative; Cramér–Rao bound; Minimum-variance unbiased estimator; Efficient estimator; Discrete uniform distribution; German tank problem; Sample size determination; Sample maximum and minimum; Interpolation; Bandlimiting; Bandwidth (signal processing); Function (mathematics); Hertz; Dirac delta function; Step function; Multidimensional sampling; Audio signal; Effects unit; Sound; Longitudinal wave; Radio broadcasting; Analog signal processing; Digital electronics; Continuous function; Binary number; Sound pressure; Audio filter; Active noise control; Echo; Reverberation; Overmodulation; Loudness; Medium wave; Shortwave radio; Sound recording and reproduction; Flanging; Chorus effect; All-pass filter; Distortion (music); Pitch correction; Audio time stretching and pitch scaling; Resonator; Ring modulation; Modulation; 3D audio effect; Reverse echo; Speech synthesis; Noise reduction; Stationary process; Linear filter; Frequency response; Autoregressive model; Least squares; Z-transform; Digital control; Arnold Tustin; Control theory; Time-invariant system; Linearity; Transfer function; Möbius transformation; S-plane; Unit circle; Complex plane; BIBO stability; Numerical integration; Trapezoidal rule; Logarithm; Pole (complex analysis); Minimum phase; Zero (complex analysis); RC circuit; Digital biquad filter; Recurrence relation; Digital filter; Discrete Fourier transform; Window function; Partial differential equation; Raster graphics; Numerical analysis; Acronym; Fast Fourier transform; Fourier analysis; List of Fourier-related transforms; Direct current; Mean; Sign convention; Cis (mathematics); Inverse trigonometric functions; Atan2; Cross-correlation; Matched filter; Periodic sequence; Euler's formula; Rader's FFT algorithm; Overlap–save method; Overlap–add method; Trigonometric interpolation; Chirp Z-transform; Vandermonde matrix; Generalizations of Pauli matrices; DFT matrix; Root of unity; Unitary transformation; Unitary operator; Determinant; Orthonormality; Plancherel theorem; Parseval's theorem; Circulant matrix; Modular arithmetic; Pointer (computer programming); Involution (mathematics); Discrete Hartley transform; Eigenvalues and eigenvectors; Matrix polynomial; Identity matrix; Defective matrix; Linear independence; Carl Friedrich Gauss; Characteristic polynomial; Orthogonality; Kravchuk polynomials; Fractional Fourier transform; Hermite polynomials; Probability mass function; Uncertainty principle; Entropic uncertainty; Kronecker delta; Arithmetic–geometric mean; Complex conjugate; Matrix (mathematics); Digital image processing; Function composition; Commutative property; Spectral density estimation; Spectrogram; Variance; Periodogram; Welch's method; Bartlett's method; Filter bank; Linear differential equation; Spectral method; Integer; Multiplication algorithm; Convolution theorem; Composite number; Cooley–Tukey FFT algorithm; Convolution; Geometric progression; Binomial theorem; Parity (mathematics); Dirichlet kernel; Discretization; Gaussian function; Representation theory; Cyclic group; Class function (algebra); Representation theory of finite groups; Discrete Fourier transform (general); Finite field; Finite group; Fourier transform on finite groups; Time–frequency analysis; Discrete wavelet transform; Wavelet; Number; Normalized frequency (unit); Harmonic; Spectral leakage; Finite impulse response; Circular convolution; Heaviside step function; Cauchy principal value; Distribution (mathematics); Differentiator; Hilbert transform; Generalized function; Infinite impulse response; Impulse invariance; Chebyshev filter; Butterworth filter; Elliptic filter; Matched Z-transform method; Bilinear transform; Laplace transform; Discrete time and continuous time; Starred transform; Applied mathematics; Line integral; Residue theorem; Frequency domain; Time-scale calculus; Standard score; Fisher transformation; Pierre-Simon Laplace; Advanced z-transform; John R. Ragazzini; Lotfi A. Zadeh; Generating function; Laurent series; Abraham de Moivre; Formal power series; Imaginary unit; Radian; Argument (complex analysis); Causal system; Probability-generating function; Radius of convergence; Geometric series; Pole–zero plot; Upsampling; Multiplication; Initial value theorem; Final value theorem; Impulse response; Linear time-invariant theory; Autoregressive–moving-average model; Fundamental theorem of algebra; Fraction (mathematics); Zero of a function; Partial fraction decomposition; Homothetic transformation; Frequency; Time; Eigenfunction; Israel Gelfand; Exponential function; Translation (geometry); Zak transform; Distortion; Artifact (error); Aliasing (computing); Digital audio; Signal reconstruction; Wagon-wheel effect; Negative frequency; Digitization; Wave field synthesis; Light field; Stereo display; Lenticular printing; Parallax; 3D film; Stereoscopy; Yaw (rotation); Fundamental frequency; Wavelength; Signal; Sample-rate conversion; Dots per inch; Half-band filter; Cutoff frequency; Polynomial interpolation; MIMO; Heterodyne; Orthogonal frequency-division multiplexing; Beamforming; Frequency-division multiplexing; Symbol rate; Electrical telegraph; Passband; Oxford English Dictionary; Hearing range; 44,100 Hz; Audio bit depth; Noise; Phase distortion; Integrated circuit; Analogue filter; Signal-to-noise ratio; Noise power; Uncorrelated random variables; Delta-sigma modulation; Transition band; Nonlinear system; Finite set; Countable set; Uncountable set; Automatic gain control; Eventually (mathematics); Sample and hold; Jitter; Noise (electronics); Analogue electronics; Slew rate; Capacitor; Arbitrarily large; Oversampling; Linear function; Pulse-code modulation; Auditory system; Professional audio; Audio Engineering Society; Intermodulation; Johnson–Nyquist noise; Speech; Phoneme; G.711; Analytic signal