Download The Illustrated Wavelet Transform Handbook by Napler Addison PDF

By Napler Addison

Contents

Preface bankruptcy 1: Getting begun bankruptcy 2: the continual wavelet remodel 2.1 creation 2.2 The Wavelet 2.3 necessities for the Wavelet 2.4 The power Spectrum of the Wavelet 2.5 The Wavelet remodel 2.6 id of Coherent constructions 2.7 side Detection 2.8 The Inverse Wavelet remodel 2.9 The sign strength: Wavelet dependent power and tool Spectra 2.10 The Wavelet remodel when it comes to the Fourier rework 2.11 complicated Wavelets: The Morlet Wavelet 2.12 The Wavelet rework, few minutes Fourier remodel and Heisenberg packing containers 2.13 Adaptive Transforms: Matching ambitions 2.14 Wavelets in or extra Dimensions 2.15 The CWT: Computation, Boundary results and Viewing 2.16 Endnotes 2.16.1 bankruptcy key phrases and words 2.16.2 additional assets bankruptcy three: The Discrete Wavelet rework 3.1 advent 3.2 Frames and Orthogonal Wavelet Bases 3.2.1 Frames 3.2.2 Dyadic Grid Scaling and Orthonormal Wavelet Transforms 3.2.3 The Scaling functionality and the Multiresolution illustration 3.2.4 The Scaling Equation, Scaling Coefficients and linked Wavelet Equation 3.2.5 The Haar Wavelet 3.2.6 Coefficients from Coefficients: the short Wavelet rework 3.3 Discrete enter signs of Finite size 3.3.1 Approximations and info 3.3.2 The Multiresolution set of rules - An instance 3.3.3 Wavelet strength 3.3.4 replacement Indexing of Dyadic Grid Coefficients 3.3.5 an easy labored instance: The Haar Wavelet remodel 3.4 every little thing Discrete 3.4.1 Discrete Experimental enter indications 3.4.2 Smoothing, Thresholding and Denoising 3.5 Daubechies Wavelets 3.5.1 Filtering 3.5.2 Symmlets and Coiflets 3.6 Translation Invariance 3.7 Biorthogonal Wavelets 3.8 Two-Dimensional Wavelet Transforms 3.9 Adaptive Transforms: Wavelet Packets 3.10 Endnotes 3.10.1 bankruptcy key phrases and words 3.10.2 additional assets bankruptcy four: FLUIDS 4.1 advent 4.2 Statistical Measures 4.2.1 Moments, power and gear Spectra 4.2.2 Intermittency and Correlation 4.2.3 Wavelet Thresholding 4.2.4 Wavelet choice utilizing Entropy Measures 4.3 Engineering Flows 4.3.1 Jets, Wakes, Turbulence and Coherent buildings 4.3.2 Fluid-Structure interplay 4.3.3 Two-Dimensional move Fields 4.4 Geophysical Flows 4.4.1 Atmospheric methods 4.4.2 Ocean tactics 4.5 different functions in Fluids and additional assets bankruptcy five: ENGINEERING checking out, tracking AND CHARACTERISATION 5.1 advent 5.2 Machining approaches: keep watch over, Chatter, put on and Breakage 5.3 Rotating equipment 5.3.1 Gears 5.3.2 Shafts, Bearings and Blades 5.4 Dynamics 5.5 Chaos 5.6 Non-Destructive trying out 5.7 floor Characterisation 5.8 different functions in Engineering and additional assets 5.8.1 Impacting 5.8.2 facts Compression 5.8.3 Engines 5.8.4 Miscellaneous bankruptcy 6: medication 6.1 creation 6.2 The Electrocardiogram 6.2.1 ECG Timing, Distortions and Noise 6.2.2 Detection of Abnormalities 6.2.3 middle price Variability 6.2.4 Cardiac Arrhythmias 6.2.5 ECG info Compression 6.3 Neuroelectric Waveforms 6.3.1 Evoked Potentials and Event-Related Potentials 6.3.2 Epileptic Seizures and Epileptogenic Foci 6.3.3 type of the EEG utilizing man made Neural Networks 6.4 Pathological Sounds, Ultrasounds and Vibrations 6.4.1 Blood circulation Sounds 6.4.2 middle Sounds and center charges 6.4.3 Lung Sounds 6.4.4 Acoustic reaction 6.5 Blood circulate and Blood strain 6.6 clinical Imaging 6.6.1 Ultrasonic photographs 6.6.2 Magnetic Resonance Imaging, Computed Tomography and different Radiographic photographs 6.6.3 Optical Imaging 6.7 different purposes in drugs 6.7.1 Electromyographic indications 6.7.2 Sleep Apnea 6.7.3 DNA 6.7.4 Miscellaneous 6.7.5 additional assets bankruptcy 7: FRACTALS, FINANCE, GEOPHYSICS AND different parts 7.1 creation 7.2 Fractals 7.2.1 precisely Self-Similar Fractals 7.2.2 Stochastic Fractals 7.2.3 Multifractals 7.3 Finance 7.4 Geophysics 7.4.1 homes of Subsurface Media 7.4.2 floor Fea