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Bracewell R.N. — The Fourier Transform and its applications
Bracewell R.N. — The Fourier Transform and its applications



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Íàçâàíèå: The Fourier Transform and its applications

Àâòîð: Bracewell R.N.

Àííîòàöèÿ:

I ransform methods provide a unifying mathematical approach to the study of electrical networks, devices for energy conversion and control, antennas, and other components of electrical systems, as well as to complete linear systems and to many other physical systems and devices, whether electrical or not. These same methods apply equally to the subjects of electrical communication by wire or optical fiber, to wireless radio propagation, and to ionized media—which are all concerned with the interconnection of electrical systems—and to information theory which, among other things, relates to the acquisition, processing, and presentation of data. Other theoretical techniques are used in handling these basic fields of electrical engineering, but transform methods are virtually indispensable in all of them. Fourier analysis as applied to electrical engineering is sufficiently important to have earned a permanent place in the curriculum—indeed much of the mathematical development took place in connection with alternating current theory, signal analysis, and information theory as formulated in connection with electrical communication.


ßçûê: en

Ðóáðèêà: Ìàòåìàòèêà/

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Èçäàíèå: 3rd edition

Ãîä èçäàíèÿ: 2000

Êîëè÷åñòâî ñòðàíèö: 618

Äîáàâëåíà â êàòàëîã: 10.04.2011

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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Ïðåäìåòíûé óêàçàòåëü
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 and sampling      252—254
Interpolation, exercises      249 252—253
Interpolation, Lagrange      253
Interpolation, midpoint      224 225 290
Interpolation, sine function      292
Interpolation, symbol      70
Inverse sampling theorem      256
Inverse sequence      34 37
Inverse sequence, problems      51 250
Inverse smoothing      163
Inverse transform notation      7—8
Inversion of convolution      34 269 413 485
Inversion of DHT      295—296 298
Inversion, Abel transform      355
Inversion, finite Fourier transform      242
Inversion, Fourier transform      6
Inversion, Hankel transform      336
Inversion, Hilbert transform      359
Inversion, Laplace transform      349 381
Inversion, Mellin transform      343 349
Inversion, problems      51 54 250
Inversion, Radon transform      358
Inversion, serial multiplication      34—36
Inversion, three-dimensional      340
Inversion, two-dimensional      329—330
Inversion, z transform      348
Ion beams      370
Ionosphere      493
Irreversibility      (see 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
Jones, R. C.      190 192
Kaufman, H.      381 398
Kelvin, Lord, viii      74 148
Kerr, E H      369 371
Khinchin, A.      187 190
Kirchoff's laws      479 480
Kirchoff, G. R.      74 93
Kniess, H.      22
Komer, T. W.      21
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 interpolation      253
Lagrange, J. L.      236 595
Lanczos, C.      141
Landau, L.      160
Laplace integral, convergence      382—383
Laplace transform and transient problems      385—386 392—396
Laplace transform and z transform      348—349
Laplace transform, advantages      381—382
Laplace transform, applications and diffusion equation      484
Laplace transform, applications and Mellin transform      343—344
Laplace transform, applications, convergence      382
Laplace transform, applications, examples      388
Laplace transform, applications, impulse response      381 390—392
Laplace transform, applications, initial value      392—396
Laplace transform, applications, inversion      349 381
Laplace transform, applications, switching problems      396—397
Laplace transform, applications, transient response      385—392
Laplace transform, natural behavior      389—390
Laplace transform, notation      7
Laplace transform, one-sided      22 380 401 522
Laplace transform, p-multiplied      381
Laplace transform, pairs      386—389
Laplace transform, switching problems      396
Laplace transform, table      388
Laplace transform, theorems      385
Laplace, P. 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 99 128 230
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 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, 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.      369 372
McCollum, P. A.      22 381 398
McLachlan, N. W.      22
Mean frequency      507
Mean-square abscissa      158—159 173
Mean-square width      171—172
Measure of uration      170—172
Measure, location      155
Medical instruments      148
Meher, P. K.      299 325
Mellin transform      343—347 349
Mellin transform, table      345
Mellin transform, theorems      346
Mendlovic, D.      3 0 371 505 506
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-i 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 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
Modulation theorem, converse      208 209
Moment and central-limit theorem      190
Moment in two dimensions      333
Moment, addition property      434
Moment, first      153—155 155—156
Moment, given by Mellin transform      344
Moment, nth      157—158 206
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
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.      209
Newton, Isaac      147
Noise      446
Noise, amplitude distribution      450—451 454 463
Noise, apectral component, 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 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
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
Numerical transformation, Nussbaumer, H. J.      283—284 289
O'Neill, O.      423
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
Optics      20 368
Optics and antenna theory      419
Optics and Wigner distribution      505
Ordinates and abscissa equal unity      68
Ordinates, sampling      230—232 249
Oscillator, Hartley      296—297
oscilloscopes      75 147
OTF (optical transfer function)      416
Overshoot      240—242 250
Ozaktas, H. M.      370 372 505 506
Paley, R. E. A. C.      22
Panda, G.      325
Papoulis, A.      22 423 428 442 447 469
Papyrus      82
Parabolic pulse      146—147 588
Paraboloid reflector      403 424 472
Parseval — Rayleigh theorem      271
Parseval — Rayleigh theorem and power theorem      121—122
Parseval — Rayleigh theorem for waveform      206
Parseval — Rayleigh theorem in two dimensions      332
Parseval's theorem      252
Parseval's theorem in two dimensions      332
Parseval's theorem, related theorems      119—120 271 290
Particularly well-behaved functions      94—96 127—128
Parzen, E.      428 442 469
Pascal      141 149 323
Pascal's pyramid      50
Pauly, John      405
Peak voltameter      473
Pearson Type III      439 440
Pei, S — C      323 325 367 372
Pennebaker, W.      304 325
Pentagram notation      40 46 70
Periodic barcode      217
1 2 3 4 5 6 7
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