Index

FIR filter design

optimal least-squares impulse response : 15.2

absolutely integrable : 3.2.1

acyclic convolution : 3.3.5

acyclic FFT convolution : 9.1.2

additive synthesis : 2 | 8 | 8.1.4 | 11.4.6

alias component matrix : 12.3.8

aliased sinc function : 2.5

aliasing components : 3.3.12

aliasing theorem for the DTFT : 3.3.12

aliasing, time domain : 9.1.4.3

allpass filter : 12.5.2

amplitude envelope : 8

analysis modulation matrix : 12.3.8

analytic signal : 2.1 | 15.5

asinc function : 2.5

associate peaks : 8.3.2

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 : 17.2.3

average : 17.1.8

bandlimited signals cannot be time limited : 3.4.16

bandpass filter : 15.5

Bark frequency scale : 18.5

Bark warping : 18.7

Bartlett window : 4.4

baseband signal : 10.1.2

bias : 5.7

bias of parabolic interpolation : 5.7

biased autocorrelation : 6

biased sample autocorrelation : 6.6

bibliography : 20

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 : 3.5

brown noise : 6.14

cepstral smoothing : 11.2.1

cepstrum : 15.7

characteristic function : 16.13.4

Chebyshev polynomials : 4.9.4.1

chirp signal : 10.2.1

chirp, Gaussian-windowed : 16.5

chirplet : 16.5

chirplet modeling : 8.6.2

chirplets : 4.10 | 16

circular convolution : 9.1

coherent addition of signals : 6.15

COLA (constant overlap-add) : 7.1.1

COLA constraint : 9.2.1

COLA constraint, frequency domain : 9.3.2

COLA dual : 9.3

colored noise : 6.14

complex demodulation : 10.3.2

complex Gaussian integral : 16.3

compression : 12

Conjugate Quadrature Filters : 12.3.7

constant overlap-add (COLA) : 11.4.1

constant overlap-add (COLA) property : 7.1.1

constant overlap-add property : 9

constant-overlap-add : 9.2.1

continuous probability distribution : 17.1.3

convolution : 3.3.5 | 9.1

acyclic : 9.1.2

acyclic in matlab : 9.1.2.1

cyclic : 9.1.1

cyclic, or circular : 9.1

FFT overlap-add in matlab : 9.2.5

FFT, overlap-add : 9.2

fractional : 15.10.7

in Matlab or Octave : 9.1.3

short signals : 9.1

convolution theorem : 3.3.5 | 3.3.5 | 3.4.6

convolution, continuous time : 3.4.6

correlation : 3.3.6

correlation analysis : 17.2

correlation theorem : 3.3.6 | 3.3.7

covariance : 6.4

critical band of hearing : 7.3.2

cross synthesis : 11.1

cross-correlation : 17.2.1

cross-power spectral density : 17.2.2 | 17.2.2

cubic polynomial phase interpolation : 8.6.1

cut-off frequency : 15.1

cycles per second : 3.4.1

cyclic autocorrelation : 6.8

cyclic convolution : 9.1

cyclic FFT convolution : 9.1.1

dc sampling filter : 10.3.1

decimation operator : 12.1.2

deconvolution : 9.1.2

delta function : 3.4.9

demos : 11.7

denoising : 6.1.1

deterministic : 5.8.2

deterministic part : 8.4.1

detrend : 6.9

DFT filter bank : 10.3 | 10.3.4.2

differentiation theorem : 3.4.2 | 3.5

differentiation theorem dual, DTFT : 3.3.13

differentiation theorem dual, FT : 3.4.3

digital filter design, FIR : 15

digital prolate spheroidal sequence (DPSS) : 4.7

Dirichlet function : 2.5

discrete probability distribution : 16.10

Discrete Prolate Spheroidal Sequences (DPSS) : 4.7

discrete time Fourier transform (DTFT) : 3.1

Dolph window : 4.9

Dolph-Chebyshev and Hamming windows compared : 4.9.3

Dolph-Chebyshev window : 4.9 | 4.9

Dolph-Chebyshev window length computation : 4.9.4.4

Dolph-Chebyshev window, theory : 4.9.4

downsampling : 3.3.12

downsampling (decimation) operator : 12.1.2

DPSS window : 4.7

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