Huang N.E., Shen S.S. — The Hilbert-Huang transform and its applications :: Электронная библиотека попечительского совета мехмата МГУ

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Huang N.E., Shen S.S. — The Hilbert-Huang transform and its applications

Huang N.E., Shen S.S. — The Hilbert-Huang transform and its applications

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Название: The Hilbert-Huang transform and its applications

Авторы: Huang N.E., Shen S.S.

Аннотация:

The Hilbert–Huang Transform (HHT) represents a desperate attempt to break the suffocating hold on the field of data analysis by the twin assumptions of linearity and stationarity. Unlike spectrograms, wavelet analysis, or the Wigner–Ville Distribution, HHT is truly a time-frequency analysis, but it does not require an a priori functional basis and, therefore, the convolution computation of frequency. The method provides a magnifying glass to examine the data, and also offers a different view of data from nonlinear processes, with the results no longer shackled by spurious harmonics — the artifacts of imposing a linearity property on a nonlinear system or of limiting by the uncertainty principle, and a consequence of Fourier transform pairs in data analysis. This is the first HHT book containing papers covering a wide variety of interests. The chapters are divided into mathematical aspects and applications, with the applications further grouped into geophysics, structural safety and visualization.

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Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2005

Количество страниц: 323

Добавлена в каталог: 30.11.2013

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Предметный указатель

Acceleration data      276 277 279 280
Adaptive basis      2
Adaptive data analysis      19
Advanced very high resolution radiometer      167
Advanced very high resolution radiometer, drift      168—170 175
Air-sea interaction      211
Aliasing      75 92 95 99 102 103
Amplitude      289
Amplitude envelope      91 94 100
Amplitude modulation      77 88 230
Amplitude step signal      95
Amplitude-modulated signal      75 90 102
Analysis of nonlinear and non-stationary data      289
Analytic signal      29 78 82 130
Annual cycle      150 151 153—155 157—159 187—190 194 200 204
Appalachian Mountains      138
Array volume      297
Atmosphere      149 152 160—163
Auto-regressive      68 229 252—255 257 259
Automotive gearbox      45
Autoregressive error      157
Average marginal spectrum      135
AVHRR      167 see
B-spline      27
B-spline algorithm of EMD      30
B-spline EMD      29
Band limited      130
Bandwidth      97 101
Baroclinic instability      136 142
Barographic data      142
Basis functions      172
Basis functions, a posteriori      172
Basis functions, empirical      172
Basis pursuit      28
Bedrosian theorem      15 27 29 38 78 86 94
Bessel functions      93
Binary hypothesis testing      108
Bispectrum      218
Blocking conditions      294
Bridge deck      274 275
Bridge safety inspection      264
BS-EMD      29 see
Calibration, on-board      168
Capillary wave      296
Cardinal B-splines      35
Carrier frequency      88
Carrier wave      216 220
Central limit theorem      114
Chaos      229 244 245 247 251 255 259
Characteristics of noise      108
Chesapeake Bay Bridge and Tunnel      136
Chi-square distribution      115
Climate      149 150 152 154 161 163
Climate data      187 190
Cloud screening      170
Coastal storms      138
Cold front      143
Component images      289 300
Confidence levels      118
Confidence limit      17
Contour Plot      297
Convolution      35 87
Cubic B-spline approximation      32
Cubic spline      5 22 30 64 65 131 153
Curvature      300
Cyclones      138
Daily maximum temperature      195 200 204
Damage features      229 235 258
Damage identification      282
Data, nonlinear      172
Data, nonstationary      172
Data-driven      228 229 244 246 252 259
Degrees of freedom      115
Denoising      57 69 71—73
Des Moines, IA      139
Detrending      57 69 71—73
Differentiating filter      87
Digital slope images      291
Diurnal tide      136
Down-sampling      103
Duffing equation      3 131
El Chichon      142
El Nino      12 17 190 197 207
El Nino/Southern Oscillation      137 150—152 157 159 160 163
Election Day Flood      137
EMD      2 167 see
EMD, filtering      175
Empirical components      290
Empirical correction      118
Empirical mode decomposition      2 27 28 57—59 62 67—69 71 73 82 108 149 150 152—157 159 162 167 189—192 196 197 200 207 212 229 231 238 241 243 247 258 264 271 289
Empirical model      228 255
Empirical orthogonal function      130
End effect      20
End point criteria      153
End-point analysis      81
Energy density      109
ENSO      137 150 see
Envelope      5 15 29
Euler polynomials      33
Euler spline      27 33
extrema      4 5 9 10 21 22 131 172
Extrema-counting mean period      111
Failure diagnosis      47
Fatigue test      45
Fault diagnosis      29
Feature values      250 253 259
fGn      58 see
Filter bank      27 57 62 64 68 73
Filter transfer functions      85
Filtering      75 76 87 93
Filters, time-space      175
Finite impulse response (FIR) filter      76
Flat spectrum      60
Forced vibration      269
Fourier analysis      211
Fourier spectra      108 187 191 205 206
Fourier transform      27 75
Fractional Brown motion      58
Fractional Gaussian noise      18 57—62 64 66 67 69 71—73
Frame structure      244
Free vibrations      268
Frequency domain      96 101
Frequency downshift      263 274 280 281
Frequency modulation      77 88 211
Frequency response      85
Frequency step discontinuity      99
Frequency-modulated component      91
Frequency-modulated signal      75 92 103
Gabor transform      75
Gaussian white noise      109 110
GDCN      194 see
Georeferenced satellite data      168
Global Daily Climatology Network      194
Global detection method      228
Global spectrum      60
Globally averaged surface temperature anomaly      120
Greenhouse gases      150 151 158 162 163
Group structure      211 212 216 219 221 223
Harmonic generation      211
Heart-rate variability      73
Hermite interpolation      83
HHT      2 see
Hidden peaks      83
High pressure      138
High-pass filter      85
Hilbert amplitude spectrum      13
Hilbert spectral analysis      2 12 191 264 271
Hilbert spectrum      13 28 134 211
Hilbert transform      3 27 78 130 153 191 230 232 233 248 268
Hilbert transform filter      86

Hilbert — Huang transform      2 28 75 189 191 231 233 239—241 243 247 264 289
HT      191 see
Hurricane Gloria      131
Hurricane Opal      143
Hurst exponent      58 59 64—67 69 71 72
Image analysis      289
Image data      289
Image decomposition      300
IMF      5 172 see
Impulse response      64 65
Incremental HHT algorithm      76 82
Index of energy conservation      43
Information extraction      107
Instantaneous amplitude      4 133
Instantaneous angular velocity      231
Instantaneous frequency      4 28 78 91—93 95 99 101 102 133 172 212
Instantaneous phase      228—231 233 234 238 242 244 249 258
Interannual variation      169
Intermittent components      104
Intra-wave frequency modulation      270
Intrinsic mode decomposition      64
Intrinsic mode function      5 28 58—63 65—73 82 108 110 131 152 155 169 190 191 197 229 231 265 271
Intrinsic scales      289
Isosurface techniques      298
Iteration convergence      83
Iteration scheme      82
Joint time-frequency distribution      75
Landcover      168
Length-of-day      10 17
Linear damage      229
Loading condition      266 268—270 272 273 276—278
Loading, heavy      269 272 276—278
Loading, light      269 272 277 278
Local detection method      227
Local mean      5 21 30
Local wavenumber      212
Lorenz equation      131 231 233 244 245 247 258
Low-pass filter      85
Makassar Straits      136
Marginal spectrum      14 135
Matching pursuit      28
Mean energy density      117
Mean period      109 110
Measures for orthogonality      43
Mechanical systems      45
Meteorological dataset      129
Modal analysis      266
Modal methods      228 255
Monocomponent      78
Monocomponentness      78
monte-carlo      154—156
Morlet wavelet      139 141 145
NAC      189 see
NASA Air-Sea Interaction Research Facility      291
National Climatic Data Center      194
National Oceanic and Atmospheric Administration      143 167
NDVI      168 see
Neural network      267
New England      138
NOAA      167 see
Noise      107
Non-destructive test      266
Non-uniform sampling      103
Nonlinear damage      229
Nonlinear deformation      270
Nonlinear phase      94
Nonlinear system identification      19
Nonlinear-and-non-stationary annual cycle      189 190 194 195 197 202—205 207
Nonlinearity      211
Nonstationary      108 222 264
Normal distributions      114
Normalized difference vegetation index      167—170
Normalized difference vegetation index, maximum composite      168
North Atlantic      138
North Atlantic Oscillation      120
Null hypothesis      108
Nuttal theorem      16
Nyquist frequency      86
Ocean engineering      211
Ocean waves      211 212 219 223
One-dimensional structures      236
Orbital drift      168
Pacific Decadal Oscillation      162
PDO      162 see
Peeling level      298
Period doubling      155
Phase      30
Phase dereverberation      235
Phase error      250 251
Phase function      4 15 16 24 230 231 233—235 237 249
Phase lag      236 237 242 259
Phase modulation      230
Photosynthesis      168
Piling      280
Power spectra      60
Power spectral density      58—60 64 247
Power-law spectrum      60
Prediction error      228 252—255 257—259
Probability density functions (pdfs)      254
Probability density functions of IMFs      113
Projection, Albers equal-area      170
Proper frequency      265
PSD      59 see
QBO      150 see
Quadratic B-spline approximation      31
Quadrature model      78
Quasi-biennial oscillation      150—152 157 159—161 163
Radiance      168
Radiance, near infrared (NIR)      168
Radiance, red (VIS)      168
Random excitations      229 244 247 251 253
Real-time HHT algorithm      75 76 82
Recursive formula      31
Red noise      154—156
Reflectance      168
Reflectance, near infrared      168
Reflectance, red      168
Reflectance, soil background      168
Reflectance, surface bidirectional properties      168
Regression techniques      134
Residue      290
Resolution, spatial      167
Resolution, temporal      169
Rolling element bearing      47
Sampling function      100
SAT      187 see
Satellite transitions      170
Satellites, new generation      167
Satellites, new generation, SeaWIFS, SPOT, MODIS      184
Scaled building model      239
Sea-level height      136
Semidiurnal tide      136
Sensor degradation      170
Separating amplitude and phase      87
Shapiro filter      132
Shear zone      293
Short-Time Fourier Transform      27 129
Sifting      30 75 77 81 91 130 172 212 290
Sifting process      4 7 9 22
Signal processing      57
Signal separation process      81
Simple oscillating mode      5
Solar cycle      150 157 160—163
Solar radiation      139
Solar zenith angle      167
Southern Oscillation Index      120
Space of splines      31
Spatial coherence      168
Spectral analysis      57 59 64 68
Spectral bandwidth      168 219

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