Авторизация
Поиск по указателям
Huang N.E., Shen S.S. — The Hilbert-Huang transform and its applications
Обсудите книгу на научном форуме Нашли опечатку?
Название: The Hilbert-Huang transform and its applicationsАвторы: 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.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2005Количество страниц: 323Добавлена в каталог: 30.11.2013Операции: Положить на полку |
Скопировать ссылку для форума | Скопировать ID
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
Реклама
|
|
О проекте