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| Allen R.L., Mills D.W. — Signal analysis. Time, frequency, scale and structure |
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| Предметный указатель |
Finite energy 66 138
Finite impulse response (FIR) 629 641—642
Finitely supported 64
Finitely supported signals 60
Fischer, E. 166
Formant 54 757
Formants 50
Fourier series (FS) 2 166 385—387
Fourier series, convergence 391 394
Fourier series, partial 388
Fourier series, properties 389
Fourier series, trigonometric 397—399
Fourier transform (FT) 403
Fourier transform discrete-time see Discrete-time Fourier transform
Fourier transform for  424—429
Fourier transform properties 411—421
Fourier transform properties table 421
Fourier transform table 407
Fourier transform, discrete see Discrete Fourier transform
Fourier transform, existence 409
Fourier transform, generalized see Generalized Fourier transform
Fourier transform, Hertz 405
Fourier transform, inverse (IFT) 408
Fourier transform, normalized 405
Fourier transform, radial 404
Fourier transform, short-time see Short-time Fourier transform
Fourier transform, windowed see Short-time Fourier transform
Fourier, J. 384
Fractal 69
Frame 216—225 777
Frame bounds 218 821
Frame operator 219—223 782
Frame, adjoint 220 782
Frame, dual 222 782
Frame, exact 821
Frame, tight 821
Frame, wavelet 821—832
Frame, windowed Fourier 756—759
frequency 38 51
Frequency domain 20 56
Frequency domain, signal analysis 585
Frequency estimation 608
Frequency modulation (FM) 52
Frequency response 535 604—605
Frequency transformations (filter) 639—640
Frequency, instantaneous 473—474
Fubini's theorem 240
Fubini, G. 240
Functional 241
Fundamental period 51
Gabor elementary function 30—31 718—722 903
Gabor problem 759
Gabor transform (GT) 713—735 903—904
Gabor transform inverse (IGT) 723—725 729
Gabor transform properties 735
Gabor transform, adaptive 720
Gabor, D. 30 717
Galileo Galilei 58
Gauss, K. 29 501
Gaussian 29 39 353 361 367 416 467—468 652 737 815—817 819
Gaussian filtering 695—696
Gaussian smoothing 357
Generalized Fourier transform 440—443
Generalized Fourier transform properties 444—451
Generalized Fourier transform, inverse 443
Geothermal gradient 17—18
Gestalt psychology 301
Gibbs phenomenon 186 394 523—528
Gibbs, J. 394 523
Gram — Schmidt orthogonalization 162
Grisey, G. 713
Group delay 606
Haar basis 213—215 837
Haar, A. 213
Hamming distance classifier 346
Hartmann, N. 22
Heat diffusion equation 28 365
Heine — Borel theorem 65 190
Heisenberg uncertainty principle 743
Heisenberg, W. 743
Hertz, H. 51 93
Hidden Markov model (HMM) 873 917
High-definition television (HDTV) 3
Hilbert adjoint operator 210
Hilbert space 150 158—168
Hilbert space, separable 164 206—210
Hilbert space, two-dimensional 726—727
Hilbert transform 688
Hilbert transform properties 689—691
Hilbert transform, associated analytic signal 692
Hilbert transform, discrete 690
Hilbert, D. 150 688
histogram 289—292
Hoelder inequality 145 191
Hubble 54
Ideal filter 465—466 621
Image 10 726 894
Impulse, finite (FIR) 629
Impulse, infinite (IIR) 133 629
Impulse, invariance 633
Impulse, response 128 181 605
Independent event 82
Infinite impulse response (IIR) 133 629
Inner product 205
Inner product space 149—153 205—206
Instantaneous frequency 52 473—474 692
Instantaneous phase 692
Instantaneous radial frequency 692
Interference-term (cross-) 761 769—770
Interferometry 618—620
Interpolation 42—50
Inverse Chebyshev filter (Type II) 670
Inverse discrete Fourier transform (IDFT) 485—487
Inverse discrete-time Fourier transform (IDTFT) 517—519
Inverse Fourier transform (IFT) 408
Inverse Gabor transform (IGT) 729
Inverse Hertz Fourier Transform 466
Inverse short-time (windowed) Fourier transform 741
Inverse wavelet transform (IWT) 810
Isometry 210 429—431
Isomorphism 210
Jacobi elliptic sine 677
Jacobi, C. 677
Joint density 90 613
Joint density, normal 90
Joint distribution function 613
Julesz's thesis 306—307
Khinchin, A. 615
Knot 45
Kolmogorov, A. 81
Kotelnikov, V. 94
Kronecker delta 385
Kronecker, L. 385
Labeling 279
Lagrange interpolation 45—46
Lagrange multipliers 316
Lagrange, J. 45
Laplace identity 27
Laplace transform 636
Laplace transform properties 637
Laplace, P. 27
Laplacian pyramid 695—697 891—892
Laurent series 72 557—558
Lebesgue dominated convergence theorem 238
Lebesgue integral 225 232—240
Lebesgue measurable set 229
Lebesgue measure 229—230
Lebesgue, H. 260
lim inf 237 558
lim sup 237 558
| Linear congruential generator 591
Linear interpolation 45
Linear operator 197
Linear operator norm 197
Linear operator, bounded 197—198
Linear phase 640
Linear system 177 459
Linear translation-invariant (LTI) 128 178
Liouville, J. 628
Lipschitz regularity 907
Lipschitz, R. 907
Locality frequency 546
Locality time 546
Localization, random signal 614
Localization, time-frequency 741 746 754
Logon 714
Loma Prieta earthquake 5—6
Lorentzian 653
Malvar wavelet 895
Marconi, G. 93
Marginals 767—768
Marr, D. 24 337 352
Marr’s program 900
Matched filter 341
Matching pursuit 873 918
Mathematics, most important function 73
Maxwell, J. 28 93
Maxwell’s equations 28
Mean 88 89 613
Measurable function 227
Measure 226—228
Median Filter 15 322
Melville, H. 832
Metric space 141—142
Mexican hat 819—820
Minimum distance classifier 346
Minkowski inequality 146 192
Mixed-domain signal analysis 873
Mixed-domain signal transform 712
Modulation 114 461 468—469
Modulation angle 471—472
Modulation phase 52
Modulation, amplitude 52 469
Modulation, frequency 52 537
Morphological filter 322—326
Morse, S. 93 91
Motorola 56001 DSP 507 509
Moving average filter 15 593—595
Moving average system 178
Multichannel 9
Multidimensional 10
Multiresolution analysis (MRA) 835—842 873
Multiresolution analysis, associated discrete low-pass filter 852
Multiresolution analysis, canonical map 856
Multiresolution analysis, orthonormal wavelet 857
Multiresolution analysis, scaling function 847
Multivariate distribution 90
Nearest-neighbor clustering 288
Noise 589
Nonmeasurable set 231—232
Norm operator 197
Norm, inner product 151
Normalized cross-correlation 338—341
Normed linear space 142—143 195—198
Numerical instability 224
Nyquist density 754
Nyquist rate 542
Nyquist, H. 2
Odd 63—64
Open covering 230
Open set 65 148
Opening 326
Operator, adjoint 210
Operator, continuous 197
Operator, ordering 210
Optimal filter 316—321 685
Orthogonal 153
Orthogonal wavelet 857
Orthogonal wavelet, representation 875
Orthonormal 153
Orthonormal basis 163
Orthonormal translates theorem 843
Orthonormal wavelet 857—861
Orthonormal wavelet, existence 860
Parallelogram law 152 205
Parseval's theorem 428 500 533 565
Parseval's theorem, Gabor transform 728
Parseval's theorem, short-time Fourier transform 740
Parseval's theorem, wavelet transform 809
Pascal, B. 81
Pattern 279
Pattern detection 338—351
Pattern detection, statistical 346—351
Pattern detection, structural 342
Pattern recognition 873 913—917
Period, fundamental 51
Periodic 51
Periodogram 616 619
Periodogram improvement 617
Phase 51
Phase delay 605
Phase estimation 608
Phase factor (WN) 490
Phase modulation 52
Phone 60
Phoneme 60 285 313 912
Phoneme classification 83
Piecewise linear function 838 849
Pixel 10
Plancherel's Theorem 428
Plancherel's theorem, Gabor transform 727
Plancherel's theorem, short-time Fourier transform 740
Planck, M. 22
Plasma etching 330
Poisson distribution 88 898
Poisson, S.-D. 88
Polarization identity 206
Pole 77 628
Polynomial signal 24 37
Positive operator 210
Power series 72 557
Power set 163
Power spectral density (PSD) 613—614
Primary (P) wave 5
probability 79—81
Probability density function 613
Probability distribution function 613
Probability measure 80
Probability space 81
Projection 160—161
Prony model 345
QRS complex 13—15
Quadratic time-frequency transform 760—771
Quadrature mirror filter (QMF) 699 882
Quantization error 41
Rademacher signal 154
Rademacher, H. 154
Radius of convergence 559
Random signal 78 91
Random variable 84 613
Rapidly decreasing 208
Rapidly descending 242
Rational function 25 37 653
Receptive field (RF) 900—904
Reconstruction from samples 540—541
Region merging 286—288
Region of convergence (ROC) 626
Region splitting 286—288
Registration 279
Remote sensing 10
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