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D.E. Newland — An Introduction to Random Vibration, Spectral and Wavelet Analysis
D.E. Newland — An Introduction to Random Vibration, Spectral and Wavelet Analysis



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Название: An Introduction to Random Vibration, Spectral and Wavelet Analysis

Автор: D.E. Newland

Аннотация:

One of the first engineering books to cover wavelet analysis, this classic text describes and illustrates basic theory, with a detailed explanation of discrete wavelet transforms. It examines joint probability distributions, ensemble averages, and correlation, Fourier analysis, spectral density and excitation response relations for linear systems, more. 1993 edition.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1993

Количество страниц: 503

Добавлена в каталог: 05.05.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Pseudo random binary signal      172 183 433
Pseudo random binary signal, autocorrelation function of      173 433
Pseudo random binary signal, clock frequency      173 182
Pseudo random binary signal, sequence lengths      172 182 433
Pseudo random binary signal, spectral density of      174 434
Pseudo random process      167 432 see
Pseudo random process, application of      167
Pseudo random process, multi-level      175 432
Pseudo random process, multi-level, spectral density of      179
Pyramid algorithm      326 389
Quantization error      148
Random binary process      168
Random binary process, autocorrelation function of      168
Random binary process, clock frequency      170
Random binary process, derived from a binary sequence      168
Random binary process, pseudo      171 see
Random multi-level process      175
Random numbers, generation of      183
Random numbers, table of      383
Random process, binary      168
Random process, broad band      44
Random process, digital simulation of      185
Random process, Gaussian      20
Random process, isotropic      239 258 263
Random process, locally stationary      217
Random process, multi-dimensional      233
Random process, multi-level      175
Random process, narrow band      44 82
Random process, non-stationary      211
Random process, simulation of      168 185
Random surface irregularities, excitation by      196
Random surface irregularities, response to      197
Random variables, statistical independence of      18 311
Random vibration environment, simulation by single point excitation      201 203 205
Rayleigh distribution of peaks      91
Resonant mode, response to broad band excitation      189
Response of a continuous system by normal mode analysis      280
Response of a continuous system to distributed excitation      277
Response of a continuous system to point excitation      268
Response of a linear system      53
Response of a linear system to random excitation, autocorrelation      69
Response of a linear system to random excitation, cross-correlation      77
Response of a linear system to random excitation, cross-spectral density      78 414
Response of a linear system to random excitation, mean level      68
Response of a linear system to random excitation, mean square response      73
Response of a linear system to random excitation, probability distributions      79
Response of a linear system to random excitation, spectral density      71
Response of a resonant mode to broad band excitation      189
Reverse arrangements, distribution for a random series      385
Reverse arrangements, tabulated values of distribution      385
Reverse arrangements, trend test      213
Road surface roughness      197 437
S-N fatigue curve      192
Sampling theorem      420
Scaling function      301
Second-order averages      14
Separation of overlapping linear correlation functions by added zeros      142
Shannon's sampling theorem      420
Shift register      183
Shift register, operation of      184
Signal flow graphs      155
Simulation of random environments      201
Simulation of random processes      185
Smoothed spectral density      135
Smoothed spectral density, estimate of      135
Smoothing spectral estimates      137
Smoothing spectral estimates, two-dimensional      254
Smoothing with a spectral window      107 136
Space lag      198
Spatial spectral density of road surface      198 258
Spectral analysis      41
Spectral analysis of finite length records      103
Spectral analysis, analogue      95
Spectral analysis, bias error      103
Spectral analysis, digital      113
Spectral analysis, digital, correction for added zeros      142
Spectral analysis, digital, correction for slow trend      147
Spectral analysis, digital, data window      146 425
Spectral analysis, digital, estimate of smoothed spectrum      135
Spectral analysis, digital, final smoothing      144
Spectral analysis, digital, periodogram      429
Spectral analysis, digital, practical considerations for      146
Spectral analysis, digital, pre-whitening      148
Spectral analysis, digital, quantization error      148
Spectral analysis, digital, summary of method      142
Spectral analysis, direct method      135
Spectral analysis, summary of digital method      142
Spectral analysis, variance of measurement      97
Spectral density      42
Spectral density for a multi-dimensional process      233 237
Spectral density for a non-stationary process      214
Spectral density of derived process      46
Spectral density of multi-level random process      179
Spectral density of pseudo random binary process      173 174
Spectral density of random binary process      171
Spectral density, double frequency      214
Spectral density, input-output relation for a linear system      71
Spectral density, properties of      43
Spectral density, relation between single-sided and double-sided      52
Spectral density, smoothed      107 135
Spectral density, spatial for road surfaces      197 437
Spectral density, units of      42 51
Spectral estimates, accuracy of      138
Spectral estimates, averaging      138
Spectral estimates, calculation of      120
Spectral estimates, smoothing      137
Spectral estimates, two-dimensional smoothing      254
Spectral measurements, confidence limits      108
Spectral window      104 131 138
Spectral window, aliased      251 427
Spectral window, bandwidth of      108 138 141
Spectral window, basic form of, for digital spectral analysis      136
Spectral window, relation with lag window      136
Spectral window, shape of      107 136 138 141
Spectral window, smoothing with      107
Spectral window, two-dimensional      245
Spectral window, two-dimensional aliased      247 251
Spectrum      see "Spectral density"
Spectrum analysis      see "Spectral analysis"
Spectrum analyzer, averaging time of      95
Spectrum analyzer, variance of measurement      97 101
Standard deviation      8
Stationarity, discussion of      212
Stationary random process      20 212
Statistical energy analysis      292
STFT      218 see
Strictly stationary process      20
String, response to random excitation      269 275
Superposition integral      64
Synthesis of correlated noise sources      185
Time lag      25 198
Time series analysis      113
Transmission of random vibration      67
Tree algorithm      326 389
Trend test      213
Trend test, reverse arrangement      213
Uncertainty principle      218
Unit impulse      58
Unit impulse, dimensions of      58
Variance      8
Variance of spectral analyzer measurement      97 101
Vehicle response to road irregularities      197 199
Vehicle response to road irregularities, example calculation      199
Ville, J.      218
Wavelet analysis      295
Wavelet coefficients, conditions for accuracy      309
Wavelet coefficients, conditions for orthogonality      313
Wavelet coefficients, conditions, collected      320
Wavelet coefficients, properties of      307
Wavelet coefficients, summary of orthogonal properties      318
Wavelet computer programs      387
Wavelet convolution      353
Wavelet generation by iteration      301
Wavelet generation by recursion      451
Wavelet level      295
Wavelet maps, grid base for      350
Wavelet maps, mean square      348 393 399
Wavelet maps, re-ordering elements of      349
Wavelet scaling function      301
Wavelet transforms, circular      322
Wavelet transforms, discrete      326
Wavelet transforms, discrete harmonic      364 398
Wavelet transforms, discrete harmonic, FFT algorithm for      367
Wavelet transforms, two-dimensional      355 394
Wavelet, analysing      298
Wavelet, compactly supported      308
Wavelet, definition of D4      321
Wavelet, definition of D6      322
Wavelet, dilation      300
Wavelet, Haar      321 322 450
Wavelet, harmonic      359 398
Wavelet, harmonic, real and imaginary parts of      361
Wavelets      219 295
Wavenumber      196
Weakly stationary process      20
Weibull distribution of peaks      219
Weighted spectral density      135
White noise      45
Wigner distribution      218
Wigner — Ville method      218
Wigner, E.P.      218
Window function      133 135 137
Window function, two-dimensional      245
Zero crossings, frequency of      89
Zeros, addition to sample record before analysis      139
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