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| Bracewell R. — The Fourier Transform and Its Applications |
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| Предметный указатель |
Impulse symbol,  , sifting property 78—81 86
Impulse symbol, , two-dimensional 334 375 377
Impulse symbol, , utility 80 92
Impulse train 365 401
Impulse train, periodic 245—246
IMSL 142 149
Independence 451—454
Index replacement rule 274
Index reversal 291
Inequalities 174—176 206
Inequalities, Bessel’s 176
Inequalities, for waveforms and spectra 206
Inequalities, limits, to autocorrelation 49
Inequalities, limits, to ordinate and slope 174—176
Inequalities, Schwarz’s 49 176 178 189
Inertia 156—157
Infinite impulse train 2
Infinitesimal dipole 85
Information loss 45 47
Infrared 486
Initial-value problems 392—396
Instantaneous frequency 363 374
Integral as convolution 63
Integral, Laplace transform of 385
Integration in closed form 137—140
Integration theorem for Laplace transform 385 387
Interferometer 471
Interferometer, and autocorrelation 45
Interferometer, and Hartley transform 307
Interferometer, and modulation theorem 414—415
Interferometer, and spectra measurement 147
Interferometer, nulling 427
Interferometer, problems 425 426 427
Interferometer, radio 416
Interlaced sampling 232—234 235
Interlaced sampling, exercises 250 251
Interpolation 65—68
Interpolation, exercises 249 252—253
Inverse sampling theorem 256
Inverse sequence 34 37
Inverse sequence, problems 51 250
Inverse smoothing 163
Inverse transform notation 7—8
Inversion,  transform 348
Inversion, Abel transform 355
Inversion, finite Fourier transform 242
Inversion, Fourier transform 6
Inversion, Fourier transform, three-dimensional 340
Inversion, Fourier transform, two-dimensional 329—330
Inversion, Hankel transform 336
Inversion, Hilbert transform 359
Inversion, Laplace transform 349 381
Inversion, Mellin transform 343 349
Inversion, of convolution 34 269 413 485
Inversion, of convolution, problems 51 54 250
Inversion, of DHT 295—296 298
Inversion, Radon transform 358
Inversion, serial multiplication 34—36
Ion beams 370
Ionosphere 493
Irreversibility see also Retrodiction
Irreversibility, autocorrelation function 45
Irreversibility, heat conduction 476
Jaeger, J. C. xviii 484 485
Jakob, M. 475 485
Jaw, S — B 367 372
Jenkins, G. M. 248
Jha, A. K. 333
Jinc function,  422
Jinc function, , exercises 73 374 376 377 378
Jinc function, , Hankel transform 337 338
Jinc function, , integrals 73
Jinc function, , notation xx
Jinc function, , pictorial 585
Jones, R. C. 190 192
K rner, T. W. 21
Kaufman, H 381 398
Kelvin, Lord, viii 74 148
Kerr, F. H. 369 371
Khinchin, A. 187 190
Kirchoff, G. R. 74 93
Kirchoff’s laws 479 480
Kniess, H. 22
Konforti, N. 370 371
Kraus, J. D. 422 423
Kretzmer, E. R. 501 506
Kronecker delta 101
Kronland — Martinet, R. 500 506
Lag window 288
Lagrange 253
Lagrange interpolation 253
Lagrange, and sampling 252—254
Lagrange, J. L. 236 595
Lagrange, midpoint 224 225 290
Lagrange, sinc function 292
Lagrange, symbol 70
Lanczos, C. 141
Landau, L. 160
Laplace integral, convergence 382—383
Laplace transform,  -multiplied 381
Laplace transform, advantages 381—382
Laplace transform, and transform 348—349
Laplace transform, and diffusion equation 484
Laplace transform, and Mellin transform 343—344
Laplace transform, and transient problems 385—386 392—396
Laplace transform, applications, initial value 392—396
Laplace transform, applications, switching problems 396—397
Laplace transform, applications, transient response 385—392
Laplace transform, convergence 382
Laplace transform, examples 388
Laplace transform, impulse response 381 390—392
Laplace transform, inversion 349 381
Laplace transform, natural behavior 389—390
Laplace transform, notation 7
Laplace transform, one-sided 22 380 401 522
Laplace transform, pairs 386—389
Laplace transform, switching problems 396
Laplace transform, table 388
Laplace transform, theorems 385
Laplace, R S. 595
Leakage 246 281
Lenses 368 370
Leon — Garcia, A. 428 442 469
Lerch’s theorem 87
Light 66 112 308
Lighthill, M. J. 21 93 96 99 128 130
Lightning 370 491
LIMIT see Transforms in the limit
Linden, D. A. 233—234 248
Linear algebra 38—39
Linear filters 39 203—204
Linear filters, time-invariant 200 209
Linear transformation 39 213 215
Linearity 367
Linearity, and space invariance 213
Linearity, and stability 214
Linearity, and time invariance 209—211 212—213
Linearity, exercises 212—213 215 530—532
LINPACK 141
Lipschitz condition 9
Location measurement 155
Lohmann, A. W. 370 371 505 506
Low-pass filter 54 65—68 75 224—226
Lunar eclipse 486
Maclaurin series 78 134 234 528
Magnetic focusing 370
Magnetosphere 370 493
Mallat, S. 500 506
Mann, S. 503 506
Mapping, radio source 471
| Marathay, A. S. 423
Marine mammals 493
Mathematica 141
MATLAB xx 141—142 272—275
MATLAB, and DCT 304
MATLAB, and DFT 272—275
MATLAB, and DHT 291—292 323
MATLAB, and taf data values 284
MATLAB, exercises 536 537
MATLAB, reversal in 291 326
MATLAB, timing program segments 283
Matrix notation 36—38 275 317
Maxima, infinite number 9 10
Maxwell distribution 590
Maxwell’s equations 92
McBride, A. C. 369 371
McCollum, P. A. 22 381 398
McLachlan, N. W. 22
Mean frequency 507
Mean-square abscissa 158—159 173
Mean-square abscissa, square root of 159
Mean-square width 171—172
Measure location 155
Measure of uration 170—172
Medical instruments 148
Meher, P. K. 299 325
Mellin transform 343—347 349
Mellin transform, table 345
Mellin transform, theorems 346
Mendlovic, D. 370 371 505 506
Meteorology 33 184—185 228
Meteors, communication system 444
Meteors, diffusion of trail 475 486
Meteors, trail distortion 473
Michelson interferometry 307
Michelson, A. A. 416 423
Microdensitometer 351
Microscopes 1
Microwave spectroheliograph 402
Microwaves 308 419 486
Midpoint interpolation 225 290
Mihovilovic, D. 503 506
Mikusinski, J. G. 93 99
Millane, R. P 300 307 325
Minus- transform 6 410
Misfortunes 436
Mitchell, J. L. 304 325
Modified Abel transform 352
Modulation theorem, and antennas 414—415
Modulation theorem, and rectangular pulse pair 153
Modulation theorem, converse 208 209
Modulation theorem, for Fourier transform 113—115 130
Modulation theorem, for Laplace transform 385
Modulation theorem, for two-dimensional Fourier transform 332
Modulation theorem, for waveforms and spectra 206 207—208
Moment,  th 157—158 206
Moment, addition property 434
Moment, and central-limit theorem 190
Moment, first 153—155 155—156
Moment, given by Mellin transform 344
Moment, in two dimensions 333
Moment, second 157 189
Moment, third 444
Moon occultation 425
Moon, radiation from 486
Moran, J. M. 423
Morlet, J. 500 506
Morse code 138 153
Mountain example 330
MRI image 405
MTF (Modulation transfer function) 416
Multidimensional transforms 340
Multiplication, and convolution 252
MUSIC 194 195 374
Music, G-string 489
Musical pitch 374
NAG 142 149
Namias, V. 370 371
Natarajan, R. 304 324 371
Natural behavior 389—390
Navigational devices 148
Near field 420
Networks, electrical networks 74—75 391
Networks, four-terminal 200
Networks, resistance-capacitance 478—479
Newcomb, R. W. 209n 211
Newton, Isaac 147
Noise 446
Noise, amplitude distribution 450—451 454 463
Noise, autocorrelation 455—458 470 471
Noise, bandpass 464—466 465
Noise, coherence 471—472
Noise, detection 466 473
Noise, envelope 465—466
Noise, filtering 450—451 462
Noise, fluctuations 446—447 472
Noise, Hilbert transform 465—466
Noise, low-pass 561
Noise, measurement 466—468 469
Noise, random 446 471 473—474
Noise, Rayleigh distribution 465—466
Noise, records 447 462—465
Noise, spectra 458—461
Noise, white 171 560
Noise, zero crossing 469—470 473
Nonreversibiity 8 45
Normal distribution 58
Normal distribution, in two dimensions 59 (see also Gaussian function)
Normalization 41
Notation see also Asterisk; Pictorial representation;  ; Symbols
Notation, circumflex 63
Notation, for complex functions 68—70
Notation, for diffusion 479
Notation, for Fourier transform 7
Notation, for Fractional Fourier transform 367
Notation, for Laplace transform 7
Notation, for rectangle function of unit height and base 55—57
Notation, for rectangle pulse 2
Notation, for sequences in serial products 39
Notation, for serial product in matrix 36—38
Notation, for triangle function of unit height and area 57—60
Notation, frequency distribution 428
Notation, matrix 36—38
Notation, multidimensional 89—92
Notation, musical 490
Notation, pentagram 40—45
Notation, reversibility notation 7—8
Notation, special symbol summary 70—71
Notation, step-function 62—65
Notation, Stieltjes integral 48
Notation, systems 1, 2 and 3, 6-7 199
Nuclear magnetic resonance (NMR) 356
Null functions 64—65 87—88 101
Numerical convolution 32 53
Numerical filtering 224—225 462
numerical transformation 305
Numerical transformation, Abel 353
Numerical transformation, Fourier 140—144 272—275 275-278
Nussbaumer, H. J. 283—284 289
Occultation, lunar 425
Ocean 194 286—287
Oceanography xvii 425
Odd function 11—14 266
Odd impulse pair 70
Olnejniczak, K. J. 211 297 308 325
On /off servomechanisms 138
Onural, L. 372 505 506
Oppenheim, A. V. 211 289
Optical Fourier transform spectroscopy 148
Optical-image formation 351
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