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Allen R.L., Mills D.W. — Signal analysis. Time, frequency, scale and structure
Allen R.L., Mills D.W. — Signal  analysis. Time, frequency, scale and structure



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Название: Signal analysis. Time, frequency, scale and structure

Авторы: Allen R.L., Mills D.W.

Язык: en

Рубрика: Математика/Численные методы/Вейвлеты, обработка сигналов/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2004

Количество страниц: 962

Добавлена в каталог: 26.02.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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 $L^2(R)$      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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