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| Ïîèñê ïî óêàçàòåëÿì |
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| Bracewell R. — The Fourier Transform and Its Applications |
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| Ïðåäìåòíûé óêàçàòåëü |
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. 370 371 505 506
O’Neill, O. 423
Packing theorem 271 290
Paley, R. E. A. C 21
Panda, G. 325
Papoulis, A. 21 423 428 442 447 469
Papyrus 82
Parabolic pulse 146—147 588
Paraboloid reflector 403 424 472
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 voltometer 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
Periodic functions, and discreteness 258—259
Periodic functions, and similarity theorem 109
Periodic functions, as impulse trains 245—246
Periodic functions, convergence 236—238
Periodic functions, exercise 217
Periodic functions, in pairs in the limit 10—11 75
Periodic functions, overshoot 240—242 250
Periodic functions, sum of 211
Periodic structures 82—83
periodicity 211 236
Periodicity, of impulse trains 245—246
Perkins, M. G. 300 325
Permittivity 148
Permutation 276—278 309 321—323
PERMUTE 309
Pettit, R. H. 49 52
Phase angle (pha) 47
Phasor generalization, by Hilbert transform 361
Phasor representation, of Fourier integral 20 423
photography 281—282 422
Physical realizability 363 363n
Pictorial Dictionary xx 2 142 573
Pictorial Dictionary, Fourier integral transform pairs 305
Pictorial Dictionary, integral cosine transform examples 301
Pictorial representation 68—70
Pierce, J. R. 370 372 493 506
Plancherel, M. 120
Plancherel’s theorem see Rayleigh’s theorem
Plasma devices 479
Plus- Fourier transform 6 435
Point charge, mass 4 74
Point response function 416
Poisson distribution 428 434 438 441 444
Poisson, S. D. 74 595
Poisson’s equation 92
Poker, heated 478
Polygonal functions 57 145—147 211—212
Polynomials 30 348
Power spectrum, and autocorrelation 122 170
Power spectrum, and DHT 314
Power spectrum, and electromagnetic signal 148
Power spectrum, and spectrograph 493
Power spectrum, and upcross and peak rates 469—70
Power spectrum, angular 412
Power spectrum, definition 285—286
Power spectrum, in slow Fourier transform program 142
Power spectrum, of error component 140
Power spectrum, of noise 459 466—468
Power spectrum, of waveform 143
Power spectrum, positive frequency 180
Power spectrum, smoothing 287—288
Power theorem 120—122
Power theorem, for generalized functions 129
Power theorem, for Hankel transform 339
Power theorem, for Hilbert transform 363—364
Power theorem, in two dimensions 332
Precision resistor 443
Prediction 250
Press, W. H. 21 141 149 289 302 304 321 325
Pressure distribution 89
Pressure gauges 425
Price, K. M. 403
Principal solution 515
prisms 112 147—148 413
probability distribution 428
Probability distribution, convolution of 430 433
Probability distribution, Fourier transform of 435 450—455
Probability distribution, of reciprocal 444
Probability distribution, of sum 329 444
Probability integral 59
Probability ordinate 58—59
Probable error 59
Product moment 453 455 470
Product, for Laplace transform 385
Product, for Mellin transform 346
Product, Fourier transform of 117 269
Product, of impulses 103
Projection 357—358
Prolate spheroidal wavefunctions 217
Proofs, of theorems 128—129
Pseudocode xix
Pulse modulation 82 347
Pulse sequence 75—78 590—593
Pulse train 248
Quadratic content theorem 301
Quadrature function 361
Quadrupoles 92
Quasi-monochromatic pulse 361
Quatrefoil pattern 92
Quian, S. 506
Rabiner, L. R. 289 490 506
Radar mapping 351
Radar, and Abel transform 351
Radar, and uncertainty relation 180
Radar, echoes from planets 491
Radar, frequency determination 500
Radar, pulse generator 196
Radar, raster scanning 82
Radar, spectral analysis 147
Radial sampling 376
Radiator, electromagnetic 92
Radio image 404
Radio interferometry 45 281
Radio signal 363
Radio source 403 471
Radio telescope 403 446 447
Radio telescope, exercises 424 471
Radio waves 20
Radioactive atom 436
Radioactive decay 28
Radioactive isotope decay 28
Radiofrequency spectral analysis 147
Radiometry and equivalent width 165
Radius of gyration 159 344
Radon transform 329 356—358
Railroads 255
Rainfall 184—185 438
Ramo, S. 423
| Ramp function 61—62 211
Ramp-step function 55 76—77 584
Random array 473
Random digits 447—450
Random input 450
Random noise 45—46 444 446
Random noise, and linear detector 473—474
Random noise, artificial 447 471
Random numbers, sum of 450
Random phenomena 428 437 443—444
Random polarization 446—447
Random process 286
Random walk 60
Rao, K. R. 283—284 289 302 304 324 325 371
Raster scanning 426
Ratcliffe, J. A. xviii
Rayleigh distribution 428 575
Rayleigh distribution, definition 59—60
Rayleigh distribution, exercise 133
Rayleigh distribution, of detector output 466
Rayleigh distribution, of heat flow 480
Rayleigh distribution, of noise envelope 465
Rayleigh, Lord 119 130
Rayleigh’s theorem, and power theorem 121—122
Rayleigh’s theorem, for Fourier transform 119—120 130
Rayleigh’s theorem, for Hankel transform 339
Rayleigh’s theorem, for waveform 206
Rayleigh’s theorem, in two dimensions 332
Rayleigh’s theorem, Parseval — Rayleigh theorem 271
Real transforms 293—295 301 305—306
Reciprocal sequences 34 348
Reciprocal sequences, calculation 35—36
Reciprocal sequences, exercises 51 250
Reciprocal transform 5 16 266 293 301 329
rect  ,  xx 55 57
Rectangle function 4
Rectangle function, and impulse symbol 75 77 83
Rectangle function, and running means 57
Rectangle function, and sampling 224—226
Rectangle function, and segmentally built functions 138
Rectangle function, and sine function 105
Rectangle function, defined 55—57
Rectangle function, evenness 80—81 101
Rectangle function, exercises 53 212 216
Rectangle function, Fourier transform of 105—107 137
Rectangle function, generator for 212 216
Rectangle function, Hilbert transform of 365
Rectangle function, inverse operator 528
Rectangle function, Laplace transform of 388
Rectangle function, notation 2
Rectangle function, sequences of 77 81 83 93
Rectangle function, widths 168 468
Rectified sinusoid 585
Reflection coefficient 148
Refractive index 148 368
Regular sequence 94—95
Repeated root 389
Replacement rule 274
Replication 81 83—84 91
Replication of sine function 552
Replication, and sampling 172—174 221 237
Resistance, negative 215
Resistance-capacitance networks 478—479
Resistor tolerances 429—430 443
Resolution, finite 93
Resolving power 4 24 74 531
Resonance 78
Resonators 28
Response, to point source 4 74
Restoration, running mean 194—195
Retrodiction 485
Reversal property 17 268
Reversal theorem, for Laplace transform 385
Reversibility and diffusion versus wave propagation 476—480
Reversibility notation 6 8
Reversibility of autocorrelation 45
Riddle, A. C 357 371
Riemann integral 236
Ring impulse 104 338
Ripley, B. D. 447 469
River current 253
Road example 162—163
Roberts, G. E. 381 398 416
Root-mean-square value 469
Rotation theorem 129 332
Row of spikes 91—92
rule of thumb 469
Running mean, and filtering 226—229
Running mean, and rectangle function 57
Running mean, exercises 194—195
Running mean, for weekly data 33
Running mean, in transform domain 184 189
Running mean, in two dimensions 333
Running mean, of sunspot number 191
Running mean, of waveform 206
runs 452
Sampling see also Undersampling
Sampling rate 254
Sampling symbol 70 81—83
Sampling theorem 219 222 224
Sampling theorem, inverse 256
Sampling,  81—82 221—223 236 251
Sampling, and replication 172—174
Sampling, critical 223
Sampling, for data control 82 347
Sampling, in presence of noise 234—235
Sampling, interlaced 232—234 235 250 251
Sampling, intervals in 219
Sampling, ordinate and slope 230—232 249
Sampling, radial 376
Sampling, slopes 230—232 249
Satapathy, J. K. 325
Scanning see Convolution
Schafer, R. W. 211 289 490 506
Schelkunoff, S. A. 423
Schr dinger’s equation 196—197 370
Schwartz, L. 93—94 99
Schwartz, M. 211
Schwarz’s inequality 49 176 178 189
Schwarz’s inequality, and uncertainty relation 178
Scrambling 321
Sea spectra 286—287
Sech pulse 583
Second difference 184 206
Second moment 156—157 189
Second moment theorem in two dimensions 333
Second moment, for Hankel transform 339
Second moment, from Mellin transform 344
Second moment, infinite 157
Segmented functions 57 145—147
Seismograms 491
Self-convolution 189 438—439
Self-convolution, and autocorrelation 40—41
Self-convolution, and Gaussian form 187
Self-convolution, and sampling 249
Self-convolution, exercises 51 191
Self-convolution, formulas 119
Self-convolution, Gaussian tendency 187
Self-convolution, of sine function 52
Self-multiplication 187
Self-transforming functions 23 193
Semi-infinite sequence 32 34
Semicircular envelope 591
Semicircular pulse 585
Semiconductors 475 479
Separable product theorem 333
Sequence of Gaussian functions 60
Sequence, as vectors 38—39
Sequence, in serial products 38—39
Sequence, inverses of 36 37
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