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- FIR filter design
- optimal least-squares impulse response : 17.2
- absolutely integrable
: 3.2.1
- acyclic convolution
: 3.3.5
- acyclic FFT convolution
: 8.1.2
- additive synthesis
: 5
| 10.4
| 20
| 20.8
| 21.6
- admissibility condition
: 11.9.1.6
- alias component matrix
: 11.3.8
- aliased sinc function
: 5.5
- aliasing components
: 3.3.12
- aliasing theorem for the DTFT
: 3.3.12
- aliasing, time domain
: 8.1.4.3
- allpass filter
: 11.5.2
- amplitude envelope
: 10.4
- analysis modulation matrix
: 11.3.8
- analytic signal
: 5.1
| 17.5
| 17.6
- analytic signal processing
: 20.10.1
- applications of the STFT
: 10
- asinc function
: 5.5
- associate peaks
: 10.6.3
- audio spectrogram
: 7.3
- audio spectrogram hop size
: 7.3.2
- auditory filter
: 7.3.3.3
- auditory filter bank
: 7.3.3.2
- auditory filter banks
: 7.3.1
- autocorrelation
: 3.3.7
- autocorrelation computation
: 6.9
- autocorrelation function
: 16.2.3
- autocorrelation method
: 10.3.2.2
| 10.3.2.3
- average
: 16.1.8
- bandlimited signals cannot be time limited
: 14.1.17
- bandpass filter
: 17.5
- Bark frequency scale
: 18.5
- Bark warping
: 18.7
- Bartlett window
: 4.5
- baseband signal
: 9.1.2
- basis signals
: 11.9.1
- bias
: 5.8.2
- bias of parabolic interpolation
: 5.8.2
- biased autocorrelation
: 6
- biased sample autocorrelation
: 6.6
- bilinear transform
: 18.6
- bilinear transform frequency warping
: 18.2
- bin number
: 7.1.3
- Blackman window
: 4.3.3
- Blackman window matlab example
: 19.1.1
- Blackman-Harris window
: 4.3.6
- Blackman-Harris window family
: 4.3
- Blackman-Harris window, frequency-domain implementation
: 4.3.7
- bounded variation
: 14.2
- breakpoints
: 20.10.1.2
- brown noise
: 6.14
- Burg's method
: 10.3.2.2
- cepstral windowing
: 10.3.1
- cepstrum
: 17.8
- channel vocoder
: 20.5
- characteristic function
: 15.12.4
- Chebyshev polynomials
: 4.10.4.1
- chirp signal
: 9.2.1
- chirp, Gaussian-windowed
: 10.10
- chirplet
: 10.10
- chirplet estimation
: 10.10.2.1
- chirplet modeling
: 20.8.2
- chirplets
: 4.11
| 20.8.2
- circular convolution
: 8.1
- coherent addition of signals
: 6.15
- COLA (constant overlap-add)
: 7.1.1
- COLA constraint
: 8.2.1
- COLA constraint, frequency domain
: 8.3.2
- COLA dual
: 8.3
- colored noise
: 6.14
- complex demodulation
: 9.3.2
- complex Gaussian integral
: 15.7
- compression
: 11
- Conjugate Quadrature Filters
: 11.3.7
- constant overlap-add (COLA)
: 21.1
- constant overlap-add (COLA) property
: 7.1.1
- constant overlap-add property
: 8
- constant-overlap-add
: 8.2.1
- constant-Q Fourier transform
: 11.9.1.6
- continuous probability distribution
: 16.1.3
- continuous wavelet transform
: 11.9.1.6
- continuous-time Fourier theorems
: 3.4
| 14
- convolution
: 3.3.5
| 8.1
- acyclic : 8.1.2
- acyclic in matlab : 8.1.2.1
- cyclic : 8.1.1
- cyclic, or circular : 8.1
- FFT overlap-add in matlab : 8.2.5
- FFT, overlap-add : 8.2
- in Matlab or Octave : 8.1.3
- short signals : 8.1
- convolution theorem
: 3.3.5
| 3.3.5
| 14.1.7
- convolution, continuous time
: 14.1.7
- correlation
: 3.3.6
- correlation analysis
: 16.2
- correlation theorem
: 3.3.6
| 3.3.7
- covariance
: 6.4
- covariance lattice methods
: 10.3.2.2
- covariance method
: 10.3.2.2
| 10.3.2.2
- critical band of hearing
: 7.3.2
- critical downsampling
: 20.10.1.2
- cross synthesis
: 10.2
- cross-correlation
: 16.2.1
- cross-power spectral density
: 16.2.2
| 16.2.2
- cubic polynomial phase interpolation
: 10.6.1
- cut-off frequency
: 17.1
- cycles per second
: 14.1.1
- cyclic autocorrelation
: 6.8
- cyclic convolution
: 8.1
- cyclic FFT convolution
: 8.1.1
- dc sampling filter
: 9.3.1
- decimation operator
: 11.1.2
- deconvolution
: 8.1.2
- delta function
: 14.1.10
- demos
: 10.12
- denoising
: 6.1.1
- deterministic
: 5.9.2
- deterministic part
: 10.7.1
- detrend
: 6.9
- DFT filter bank
: 9.3
| 9.3.4.2
- differentiation theorem
: 14.1.2
| 14.2
- differentiation theorem dual, DTFT
: 3.3.13
- differentiation theorem dual, FT
: 14.1.3
- digital filter design, FIR
: 17
- digital prolate spheroidal sequence (DPSS)
: 4.8
- Dirichlet function
: 5.5
- discrete probability distribution
: 15.10
- Discrete Prolate Spheroidal Sequences (DPSS)
: 4.8
- discrete time Fourier transform (DTFT)
: 3.1
- discrete wavelet filterbank
: 11.9.1.8
- discrete wavelet transform
: 11.9.1.7
- Dolph window
: 4.10
- Dolph-Chebyshev and Hamming windows compared
: 4.10.3
- Dolph-Chebyshev window
: 4.10
| 4.10
- Dolph-Chebyshev window length computation
: 4.10.4.4
- Dolph-Chebyshev window, theory
: 4.10.4
- downsampling
: 3.3.12
- downsampling (decimation) operator
: 11.1.2
- DPSS window
: 4.8
- DTFT
- aliasing theorem : 3.3.12
- convolution theorem : 3.3.5
- correlation theorem : 3.3.6
- downsampling theorem : 3.3.12
- energy theorem : 3.3.8
- even symmetry : 3.3.3.1
- linearity : 3.3.1
- power theorem : 3.3.8
- repeat operator : 3.3.10
- repeat theorem : 3.3.11
- scaling operator : 3.3.10
- scaling theorem : 3.3.11
- shift theorem : 3.3.4
- stretch operator : 3.3.9
- stretch theorem : 3.3.11
- symmetry : 3.3.3
- time reversal : 3.3.2
- DTFT Fourier theorems
: 3.3
- Durbin recursion
: 10.3.2.3
- dyadic filter bank
: 11.9.1.9
- dyadic wavelet filter bank
: 11.9.1.9
- effective length of a window
: 5.7.1
- energy theorem
: 3.3.8
- ensemble average
: 16.1.6
- entropy
: 15.11.1
| 15.11.1
- envelope break-points
: 10.6.1
- envelope follower
: 7.3.3.6
| 20.10.1
- equivalent rectangular bandwidth
: 18.8
- excitation pattern
: 7.3.1
| 7.3.2
| 7.3.3.2
- expected value
: 16.1.6
| 16.1.6
| 16.3
- exponential window
: 4.6
- extended lapped transforms
: 11.7.2
- F0 estimation
: 10.1
- f0est detection in matlab
: 19.6
- FBS modifications
: 9.8.2.1
- FFT convolution speed
: 8.1.4
- FFT input buffer
: 21.2
- fftshift utility in matlab
: 3.5.4.1
- filter
- overlap-add FFT convolution : 8.2
- filter bank summation interpretation of the STFT
: 9
- filter bank, perfect reconstruction
: 11.3
- filter banks
: 11
- paraunitary : 11.5
- filter design
: 18
- example of window method : 17.4.2
- Hilbert transform filter : 17.5
- least-squares, linear-phase FIR : 17.10.6
- filter design, FIR
- frequency-sampling method : 17.3
- window method : 17.4
- filter-bank interpretation of the STFT
: 9.1.2
- Filter-Bank Summation (FBS)
: 9.3.4
- filtered white noise
: 6.14
| 6.14
- filters
- audio, FIR : 8.1.4.1
- lossless : 11.5.2
- lossless examples : 11.5.3
- finite support
: 6.6
- finite-impulse-response
: 17.4
- FIR digital filter design
- frequency-sampling method : 17.3
- window method : 17.4
- FIR filter design
- by linear programming : 4.13
- least-squares, linear phase : 17.10.6
- optimal methods : 17.10
- first-order moment
: 15.12.1
- flip operator
: 14.1.8
- FM brass synthesis
: 20.9.2
- FM spectra
: 20.9.1
- FM synthesis
: 20.9
- FM voice synthesis
: 20.9.3
- formants
: 7.2.1
- Fourier dual
: 3.5
| 9.5
- Fourier theorems
- continuous time : 3.4
| 14.1
- discrete time : 3.3
- DTFT
- differentiation dual : 3.3.13
- FT
- differentiation dual : 14.1.3
- Fourier theorems (continuous time)
- convolution theorem : 14.1.7
- differentiation : 14.1.2
- flip theorem : 14.1.8
- gaussian pulse : 14.1.11
- impulse train : 14.1.14
- modulation theorem : 14.1.6
- power theorem : 14.1.9
- rectangular pulse : 14.1.12
- sampling theorem : 14.1.16
- scaling or similarity : 14.1.4
- shift theorem : 14.1.5
- uncertainty principle : 14.1.17
- Fourier transform
: 3.2
- Fourier transform existence
: 3.2.1
- Fourier transforms for continuous/discrete time/frequency
: 3
- frame
: 7.1.3
- frequency modulation
: 20.9
- frequency resolution
: 5.5.2
| 5.7
- frequency sampling for FIR filter design
: 17.3
- frequency shifting
: 10.11
| 20.12.10
- frequency trajectories
: 10.6.3
- frequency warping
- allpass : 18
- bilinear transform : 18.2
- non-parametric : 19.5
- frequency-shifting
: 20.12.10
- fundamental frequency estimation
: 10.1
- fundamental frequency estimation in matlab
: 19.6
- fundamental frequency estimation test program
: 19.6.1
- Gaussian chirp
: 4.11
- Gaussian distributed
: 5.9.2
- Gaussian distribution
- maximum entropy property : 15.11
- Gaussian function
: 14.1.17.1
| 15
- Gaussian integral
: 15.6.1
- gaussian pulse
: 14.1.11
- Gaussian random variable, closed under addition
: 15.13
- Gaussian window
: 15.1
- Gaussian window function
: 4.11
- Gaussian, Fourier transform of
: 15.8
- Gaussian-windowed chirp
: 10.10
- generalized function
: 14.1.10
- generalized Hamming window family
: 4.2
| 4.2.6
- generalized STFT
: 11.9.1.10
- geometric signal theory
: 11.9.1
- Gibbs phenomenon
: 5.5.1
- glossary of notation
: 13
- graphic equalizer
: 17.7
- graphical convolution
: 8.1
- graphical equalizers
: 8.3.3
- group-additive synthesis
: 20.8.4.2
- Haar filter bank
: 11.3.3
- Hamming and Dolph-Chebyshev windows compared
: 4.10.3
- Hamming window
: 4.2.4
- Hammond organ
: 20.4
- Hann window
: 4.2.1
| 4.2.1
- Hann-Poisson window
: 4.7
- hanning window
: 4.2.1
- harmonic
: 5.7.1
- Heisenberg uncertainty principle
: 14.1.17.1
- Hermitian
: 3.3.3
- Hermitian spectrum
: 17.5
- heterodyne-comb
: 20.12.1
- Hilbert space
: 11.9.1
- Hilbert transform
: 17.6
- Hilbert transform filter design
: 17.5
- Hilbert transform kernel
: 17.6
- history of spectral modeling
: 20
- hop size
: 6.12
| 7.1.3
| 8.2.1
- ideal lowpass filter
: 17.4
- identity system
: 20.10.1.3
- impulse train
: 14.1.14
- impulse, continuous time
: 14.1.10
- impulse, sinc
: 14.1.13
- independent events
: 16.1.2
| 16.3.1
- independent random variables
: 16.3.1
- inner product
: 3.3.8
| 14.1.9
- innovations sequence
: 10.3.2
- instantaneous amplitude
: 20.10.1
- instantaneous loudness
: 7.3.2
| 7.3.3.6
- instantaneous phase
: 20.10.1
- interpolation kernel
: 3.5.2
| 7.3.3.3
- interpolation kernel, spectral, ideal
: 19.5.1
- interpolation of a DFT
: 3.5.2
- inverse FFT synthesis
: 20.8.1
- inverse filter
: 10.3.2
- inverse-FFT synthesis
: 20.12.3
- Kaiser window
: 4.9
- Kaiser window beta parameter
: 4.9.3
- Kaiser-Bessel window
: 4.9
- lagged product
: 6.4