The illustrated wavelet transform handbook: introductory theory and applications in science, engineering, medicine and finance
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Bristol [u.a.]
Inst. of Physics Publ.
2002
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 353 S. Ill., graph. Darst. |
| ISBN: | 0750306920 |
Internformat
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Datensatz im Suchindex
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THE ILLUSTRATED WAVELET TRANSFORM HANDBOOK INTRODUCTORY THEORY AND
APPLICATIONS IN SCIENCE, ENGINEERING, MEDICINE AND FINANCE PAUL S
ADDISON NAPIER UNIVERSITY, EDINBURGH, UK IOP INSTITUTE OF PHYSICS
PUBLISHING BRISTOL AND PHILADELPHIA CONTENTS PREFACE XI 1 GETTING
STARTED T 1.1 INTRODUCTION 1 1.2 THE WAVELET TRANSFORM 2 1.3 READING THE
BOOK 3 2 THE CONTINUOUS WAVELET TRANSFORM 6 2.1 INTRODUCTION 6 2.2 THE
WAVELET 6 2.3 REQUIREMENTS FOR THE WAVELET 9 2.4 THE ENERGY SPECTRUM OF
THE WAVELET 9 2.5 THE WAVELET TRANSFORM 11 2.6 IDENTIFICATION OF
COHERENT STRUCTURES 14 2.7 EDGE DETECTION 21 2.8 THE INVERSE WAVELET
TRANSFORM 25 2.9 THE SIGNAL ENERGY: WAVELET-BASED ENERGY AND POWER
SPECTRA 28 2.10 THE WAVELET TRANSFORM IN TERMS OF THE FOURIER TRANSFORM
33 2.11 COMPLEX WAVELETS: THE MORLET WAVELET 35 2.12 THE WAVELET
TRANSFORM, SHORT TIME FOURIER TRANSFORM AND HEISENBERG BOXES 45 2.13
ADAPTIVE TRANSFORMS: MATCHING PURSUITS 51 2.14 WAVELETS IN TWO OR MORE
DIMENSIONS 55 2.15 THE CWT: COMPUTATION, BOUNDARY EFFECTS AND VIEWING 56
2.16 ENDNOTES 63 2.16.1 CHAPTER KEYWORDS AND PHRASES 63 2.16.2 FURTHER
RESOURCES 63 3 THE DISCRETE WAVELET TRANSFORM 65 3.1 INTRODUCTION 65 3.2
FRAMES AND ORTHOGONAL WAVELET BASES 65 3.2.1 FRAMES 65 VI L VLLL
CONTENTS 3.2.2 DYADIC GRID SCALING AND ORTHONORMAL WAVELET TRANSFORMS 67
3.2.3 THE SCALING FUNCTION AND THE MULTIRESOLUTION REPRESENTATION 69
3.2.4 THE SCALING EQUATION, SCALING COEFFICIENTS AND ASSOCIATED WAVELET
EQUATION 72 3.2.5 THE HAAR WAVELET 73 3.2.6 COEFFICIENTS FROM
COEFFICIENTS: THE FAST WAVELET TRANSFORM 75 3.3 DISCRETE INPUT SIGNALS
OF FINITE LENGTH 77 3.3.1 APPROXIMATIONS AND DETAILS 77 3.3.2 THE
MULTIRESOLUTION ALGORITHM*AN EXAMPLE 81 3.3.3 WAVELET ENERGY 83 3.3.4
ALTERNATIVE INDEXING OF DYADIC GRID COEFFICIENTS 85 3.3.5 A SIMPLE
WORKED EXAMPLE: THE HAAR WAVELET TRANSFORM 87 3.4 EVERYTHING DISCRETE 91
3.4.1 DISCRETE EXPERIMENTAL INPUT SIGNALS 91 3.4.2 SMOOTHING,
THRESHOLDING AND DENOISING 96 3.5 DAUBECHIES WAVELETS 104 3.5.1
FILTERING 112 3.5.2 SYMMLETS AND COIFLETS 115 3.6 TRANSLATION INVARIANCE
117 3.7 BIORTHOGONAL WAVELETS 119 3.8 TWO-DIMENSIONAL WAVELET TRANSFORMS
121 3.9 ADAPTIVE TRANSFORMS: WAVELET PACKETS 133 3.10 ENDNOTES 141
3.10.1 CHAPTER KEYWORDS AND PHRASES 141 3.10.2 FURTHER RESOURCES 141 4
FLUIDS 144 4.1 INTRODUCTION 144 4.2 STATISTICAL MEASURES 145 4.2.1
MOMENTS, ENERGY AND POWER SPECTRA 145 4.2.2 INTERMITTENCY AND
CORRELATION 152 4.2.3 WAVELET THRESHOLDING 153 4.2.4 WAVELET SELECTION
USING ENTROPY MEASURES 159 4.3 ENGINEERING FLOWS 160 4.3.1 JETS, WAKES,
TURBULENCE AND COHERENT STRUCTURES 160 4.3.2 FLUID-STRUCTURE INTERACTION
171 4.3.3 TWO-DIMENSIONAL FLOW FIELDS 174 4.4 GEOPHYSICAL FLOWS 178
4.4.1 ATMOSPHERIC PROCESSES 178 4.4.2 OCEAN PROCESSES 186 4.5 OTHER
APPLICATIONS IN FLUIDS AND FURTHER RESOURCES 187 5 ENGINEERING TESTING,
MONITORING AND CHARACTERIZATION 189 5.1 INTRODUCTION 189 5.2 MACHINING
PROCESSES: CONTROL, CHATTER, WEAR AND BREAKAGE 189 5.3 ROTATING
MACHINERY 195 CONTENTS IX 5.4 5.5 5.6 5.7 5.8 ME( 6.1 6.2 6.3 6.4 6.5
6.6 6.7 5.3.1 GEARS 5.3.2 SHAFTS, BEARINGS AND BLADES DYNAMICS CHAOS
NON-DESTRUCTIVE TESTING SURFACE CHARACTERIZATION OTHER APPLICATIONS IN
ENGINEERING AND FURTHER RESOURCES 5.8.1 IMPACTING 5.8.2 DATA COMPRESSION
5.8.3 ENGINES 5.8.4 MISCELLANEOUS LICINE INTRODUCTION THE
ELECTROCARDIOGRAM 6.2.1 ECG TIMING, DISTORTIONS AND NOISE 6.2.2
DETECTION OF ABNORMALITIES 6.2.3 HEART RATE VARIABILITY 6.2.4 CARDIAC
ARRHYTHMIAS 6.2.5 ECG DATA COMPRESSION NEUROELECTRIC WAVEFORMS 6.3.1
EVOKED POTENTIALS AND EVENT-RELATED POTENTIALS 6.3.2 EPILEPTIC SEIZURES
AND EPILEPTOGENIC FOCI 6.3.3 CLASSIFICATION OF THE EEG USING ARTIFICIAL
NEURAL NETWORKS PATHOLOGICAL SOUNDS, ULTRASOUNDS AND VIBRATIONS 6.4.1
BLOOD FLOW SOUNDS 6.4.2 HEART SOUNDS AND HEART RATES 6.4.3 LUNG SOUNDS
6.4.4 ACOUSTIC RESPONSE BLOOD FLOW AND BLOOD PRESSURE MEDICAL IMAGING
6.6.1 ULTRASONIC IMAGES 6.6.2 MAGNETIC RESONANCE IMAGING, COMPUTED
TOMOGRAPHY AND OTHER RADIOGRAPHIC IMAGES 6.6.3 OPTICAL IMAGING OTHER
APPLICATIONS IN MEDICINE 6.7.1 ELECTROMYOGRAPHIC SIGNALS 6.7.2 SLEEP
APNOEA 6.7.3 DNA 6.7.4 MISCELLANEOUS 6.7.5 FURTHER RESOURCES FRACTALS,
FINANCE, GEOPHYSICS AND OTHER AREAS 7.1 7.2 INTRODUCTION FRACTALS 7.2.1
EXACTLY SELF-SIMILAR FRACTALS 195 199 202 208 211 221 224 224 225 228
229 230 230 230 231 234 236 239 248 248 249 252 255 258 259 260 263 264
267 270 270 270 273 275 275 275 276 276 277 278 278 278 279 X CONTENTS
7.2.2 STOCHASTIC FRACTALS 282 7.2.3 MULTIFRACTALS 292 7.3 FINANCE 294
7.4 GEOPHYSICS 298 7.4.1 PROPERTIES OF SUBSURFACE MEDIA 299 7.4.2
SURFACE FEATURE ANALYSIS 305 7.4.3 CLIMATE, CLOUDS, RAINFALL AND RIVER
LEVELS 307 7.5 OTHER AREAS 309 7.5.1 ASTRONOMY 309 7.5.2 CHEMISTRY AND
CHEMICAL ENGINEERING 310 7.5.3 PLASMAS 311 7.5.4 ELECTRICAL SYSTEMS 311
7.5.5 SOUND AND SPEECH 312 7.5.6 MISCELLANEOUS 313 APPENDIX USEFUL
BOOKS, PAPERS AND WEBSITES 314 1 USEFUL BOOKS AND PAPERS 314 2 USEFUL
WEBSITES 315 REFERENCES 317 INDEX 351 |
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| indexdate | 2024-07-20T05:41:54Z |
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| isbn | 0750306920 |
| language | English |
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| physical | XIII, 353 S. Ill., graph. Darst. |
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| spelling | Addison, Paul S. Verfasser aut The illustrated wavelet transform handbook introductory theory and applications in science, engineering, medicine and finance Paul S. Addison Bristol [u.a.] Inst. of Physics Publ. 2002 XIII, 353 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wavelet (DE-588)4215427-3 gnd rswk-swf Wavelet (DE-588)4215427-3 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009567834&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Addison, Paul S. The illustrated wavelet transform handbook introductory theory and applications in science, engineering, medicine and finance Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4215427-3 |
| title | The illustrated wavelet transform handbook introductory theory and applications in science, engineering, medicine and finance |
| title_auth | The illustrated wavelet transform handbook introductory theory and applications in science, engineering, medicine and finance |
| title_exact_search | The illustrated wavelet transform handbook introductory theory and applications in science, engineering, medicine and finance |
| title_full | The illustrated wavelet transform handbook introductory theory and applications in science, engineering, medicine and finance Paul S. Addison |
| title_fullStr | The illustrated wavelet transform handbook introductory theory and applications in science, engineering, medicine and finance Paul S. Addison |
| title_full_unstemmed | The illustrated wavelet transform handbook introductory theory and applications in science, engineering, medicine and finance Paul S. Addison |
| title_short | The illustrated wavelet transform handbook |
| title_sort | the illustrated wavelet transform handbook introductory theory and applications in science engineering medicine and finance |
| title_sub | introductory theory and applications in science, engineering, medicine and finance |
| topic | Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Wavelet |
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