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| Ïîèñê ïî óêàçàòåëÿì |
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| Allen R.L., Mills D.W. — Signal analysis. Time, frequency, scale and structure |
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| Ïðåäìåòíûé óêàçàòåëü |
 , extended complex plane 555 626
 65
 66
 137
 137
 -algebra 80 227
Abel’s function 256
Absolutely integrable 66 182
Absolutely summable signal 65
Accumulator 177
Adjoint frame operator 220
Adjoint Hilbert operator 210
Admissibility condition 805
Algebra 80
Algebra, - (sigma-) 80 227
Algebraic signals 25
Almost everywhere 231
Ambiguity function 769
Amplitude 51
Amplitude modulation (AM) 52 469
Amplitude spectrum 463
Analog convolution 176—177
Analog filter 650
Analog, Gaussian 29
Analog, signal 1 21—22
Analog, signal edge 334
Analog, sinusoid 51
Analog, system 174
Analog-to-digital converter (ADC) 41
Analytic 71
Analytic signal 692
Analyzing wavelet 805
Angle modulation 471
antisymmetric 63
Approximate signal 875—876
Approximating identity 253—256
Approximation, ideal filter 624
ARC 75
Associated filter, multiresolution analysis 852
Atomic Force Microscope (AFM) 336
Attneave 24
Australia 887
Autocorrelation 176 615—616
Axiom of Choice 164—165
B-spline 189 739
B-spline window 738
Balian — Low frames 784
Balian — Low orthonormal basis 773—776
Balian — Low theorem 771—787
Banach completion 203—205
Banach construction 201—205
Banach space 147—148 198
Bandlimited 538
Bandpass filter 465 599—601
Bandwidth, 3-db 464
Basis 154 163
Basis of translates 840
Basis, orthonormal 211—215
BAT 645
Bayes 82
Bayes classifier 346
Bayes decision rule 348
Bayes theorem 82 91
Bell, A. 93
bessel 612
Bessel function 475 611—612
Bessel inequality 156—157
Biased estimator 616
Bilinear transformation 638
Binomial distribution 87
Biological and computer vision 900
Borel set 229
Boundary curvature 368
Bounded 65 182
Bounded linear operator 197
Butterfly 68
Butterworth filter 654—655
Butterworth, S. 654
C++ 507—508
Canny edge detector 335—336
Canonical linear map, multiresolution analysis 856
Cantor, G. 163
Cardano, G. 81
Cardinality 163
Carleson's theorem 529
Carrier frequency 52
cat 24 69
Cauchy integral 76—77
Cauchy principal value 689
Cauchy residue 78
Cauchy sequence 148 198
Cauchy — Riemann equations 73
Cauchy — Schwarz inequality 146 151
Cauer filter 676—680. See also elliptic filter
Cauer, W. 676
Causal 627
Causal system 122 183
Cepstral coefficient 345
Chain rule 72
Charge-coupled device (CCD) 897
Chebyshev polynomial 664—665
Chebyshev type I filter 664
Chebyshev type II filter 670
Chebyshev, P. 664
Chemical mechanical planarization (CMP) 618
Chirp detection 643
Chirp z-transform (CZT) 573 687
Chirp z-transform algorithm 574—575
Chirp, linear 730—732
City block metric 142
Classification 283—284 346
Closed set 65 148
Closing 326
Co-occurrence matrix 305—307
Co-occurrence texture descriptors 307
Cohen class transform 771 789
Cohen, L. 789
Comfort noise 79
Compact 65
Compact support 65 190
complete 154 158
Complete elliptic integral 677—678
Completion 203
Complex integration 75—78
Complex Lebesgue measure 230—231
Complex numbers (C) 70
Complex-valued signal 22 35
Component (channel) signal 9
Compression 894
Concavity 37 354
Conditional probability 81
Congruential generator 591
Congruential generator, linear 591
Conjugate exponents 143—144
Conjugate mirror filter 699
Contextual analysis 61
Continuous mean 89
Continuous operator 197
Continuous random variable 88
Continuous variance 90
Continuous wavelet transform 803
contour 75
Contour integral 76 566
Convolution 115 176
Convolution discrete 498
Convolution of distributions 250—252
Convolution properties 131—132 184—185
Convolution theorem 129 182 428 460
Countable 163
Covering, open 230
| Cross Wigner — Ville distribution 764
Cross-correlation 114 176
Cross-terms (interference- ) 761 769—770
Cubic spline 46—50 839 851 862
Curvature 354
Curve 75
Cut-off frequency 625
DC (direct current) 405
DC waveform 442
Delay 605 669
Delay group 606—608
Delay phase 605
Delta see also Dirac
Delta, analog 179
Delta, discrete 39
Dense 154
Density function 85
Density Function, Wigner — Ville 766
Derivative 71 241 332
Derivative of Gaussian operator 330
Descartes, R. 140
Detail signal 879—880
Deterministic signal 78
Difference equation 130 571—572 627—628
Difference of boxes (DOB) filter 329
Differentiable 71
Digital signal 1 35
Digital signal processor (DSP) 7 507 509
Dilation 323—325 803
Dirac comb 452—454
Dirac delta 33—35 241 247—249 443
Dirac delta, properties 186—188
Dirac, P. 33
Direct current (DC) 405 442
Direct form I 630
Direct form II 631
Direct sum 160
Dirichlet kernel 392 526
Dirichlet, P. 392 526
Discrete algebraic signal 37
Discrete convolution 498—499
Discrete cosine transform (DCT) 894
Discrete delta (impulse) 39
Discrete density function 86
Discrete edge 334
Discrete Fourier series (DFS) 495—497
Discrete Fourier transform (DFT) 155—156 482—484
Discrete Fourier transform properties 497—501
Discrete Fourier transform, inverse (IDFT) 485—487
Discrete frequency 51 55—56
Discrete mean 88
Discrete random variable (RV) 85—86
Discrete rational function 37
Discrete signal 1 35
Discrete sinusoid 38
Discrete system 109 111
Discrete unit step 40
Discrete variance 88
Discrete-time Fourier transform (DTFT) 510—515 555
Discrete-time Fourier transform and linear, translation-invariant systems 534
Discrete-time Fourier transform for 528
Discrete-time Fourier transform properties 529—534
Discrete-time Fourier transform, existence 514—515
Discrete-time Fourier transform, inverse (IDTFT) 517—519
Discriminant function 350—351
distribution 84 241—253
Distribution as limit 252
Distribution properties 244—246
Distribution, defined 242
Distribution, equivalent 243
Dog 308
Dolphin 52
Doppler 53
Dual-tone multi-frequency (DTMF) 281—282 588—604
Dual-tone multi-frequency, table of pairs 590
Echo canceller 133—136 908—909
Echolocation 645
Edge detection 326—338 905—908
Edge detection, Canny 336
Edge detection, maximal response 336
Edge, analog and discrete 334
Eigenfunction 534—535
Eigenvector 534
Electrocardiogram (ECG, EKG) 12—16 907—908
Electroencephalogram (EEG) 8—9 643
Elliptic filter 676—685
Elliptic integral 677
Elliptic sine 678—680
Elliptic, complete 677—678
Endpoint detection 330 344 649
Engine knock detection 344—345
Enhancement 314
Enhancement, wavelet-based 897
Envelope 692
Envelope detection 693
Equiripple condition 664—665 670
Equivalence class 202
Equivalence relation 202
Equivalent distributions 243
Erosion 325—326
Estimator 616
Even 63—64
Even and odd signals 59
Event 81
Exact frame 218
Expectation 88—89
Exponential distribution 89
Exponential signal 26 38 212 448
Exponential signal, anti-causal 557
Exponential signal, causal 556
Extended complex plane () 555
Fast Fourier transform (FFT) 2 501
Fast Fourier transform implementation 507—510
Fast Fourier transform, decimation-in-frequency 505—507
Fast Fourier transform, decimation-in-time 502—505
Fatou's lemma 237—238
Fatou, P. 237
Feature 279
Feature extraction 342—346
Feller, W. 81
Fermat, P. 140
Filter 314—322 460 462—463.
Filter approximation 624—626
Filter bank 589 601—604
Filter bank, exact reconstruction 697
Filter bank, perfect reconstruction 694—695
Filter design, analog 650—685
Filter design, bilinear transformation 638
Filter design, discrete 620—643
Filter design, impulse invariance 633
Filter design, Laplace transform 636—638
Filter design, low-pass 632—639 652
Filter design, sampling analog 633—636
Filter design, window 623—624
Filter, analog 651
Filter, Butterworth 654
Filter, Cauer (elliptic) 676
Filter, Chebyshev type I 664
Filter, Chebyshev type II (inverse) 670
Filter, elliptic (Cauer) 676
Filter, frequency transformations 639—640
Filter, ideal 465—466 621
Filter, inverse Chebyshev 670
Filter, low-pass 621—622 653
Filter, median 322
Filter, morphological 322
Filter, nonlinear 321—326
Filter, optimal 316 685
Filter, quadrature mirror (QMF) 699
Filter, wavelet-based 895
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