The illustrated wavelet transform handbook : introductory theory and applications in science, engineering, medicine, and finance
Addison, Paul S.
The illustrated wavelet transform handbook : introductory theory and applications in science, engineering, medicine, and finance - Philadelphia : Institute of Physics Pub., ©2002. - xiii, 353 pages : illustrations ;
Includes Index
1. Getting started -- PREFACEGETTING STARTEDTHE CONTINUOUS WAVELET TRANSFORMIntroductionThe WaveletRequirements for the WaveletThe Energy Spectrum of the WaveletThe Wavelet TransformIdentification of Coherent StructuresEdge DetectionThe Inverse Wavelet TransformThe Signal Energy: Wavelet-Based Energy and Power SpectraThe Wavelet Transform in Terms of the Fourier TransformComplex Wavelets: The Morlet WaveletThe Wavelet Transform, Short Time Fourier Transform and Heisenberg BoxesAdaptive Transforms: Matching PursuitsWavelets in Two or More DimensionsThe CWT: Computation, Boundary Effects and ViewingEndnotesTHE DISCRETE WAVELET TRANSFORMIntroductionFrames and Orthogonal Wavelet BasesDiscrete Input Signals of Finite LengthEverything DiscreteDaubechies WaveletsTranslation InvarianceBiorthogonal WaveletsTwo-Dimensional Wavelet TransformsAdaptive Transforms: Wavelet PacketsEndnotesFLUIDSIntroductionStatistical MeasuresEngineering FlowsGeophysical FlowsOther Applications in Fluids and Further ResourcesENGINEERING TESTING, MONITORING AND CHARACTERISATIONIntroductionMachining Processes: Control, Chatter, Wear and BreakageRotating MachineryDynamicsChaosNon-Destructive TestingSurface CharacterisationOther Applications in Engineering and Further ResourcesMEDICINEIntroductionThe ElectrocardiogramNeuroelectric WaveformsPathological Sounds, Ultrasounds and VibrationsBlood Flow and Blood PressureMedical ImagingOther Applications in MedicineFRACTALS, FINANCE, GEOPHYSICS AND OTHER AREASIntroductionFractalsFinanceGeophysicsOther AreasAPPENDIX: USEFUL BOOKS, PAPERS AND WEBSITESUseful Books and PapersUseful WebsitesREFERENCESINDEX
Presents an overview of the theory and practical applications of wavelet transform methods. This book presents an overview of the wavelet transform, followed by a discussion of the mathematics of both discrete and continuous wavelet transforms. It concludes with applications in a variety of subject areas.
9780750306928 0750306920
Wavelets (Mathematics)
515.2433 / ADD
The illustrated wavelet transform handbook : introductory theory and applications in science, engineering, medicine, and finance - Philadelphia : Institute of Physics Pub., ©2002. - xiii, 353 pages : illustrations ;
Includes Index
1. Getting started -- PREFACEGETTING STARTEDTHE CONTINUOUS WAVELET TRANSFORMIntroductionThe WaveletRequirements for the WaveletThe Energy Spectrum of the WaveletThe Wavelet TransformIdentification of Coherent StructuresEdge DetectionThe Inverse Wavelet TransformThe Signal Energy: Wavelet-Based Energy and Power SpectraThe Wavelet Transform in Terms of the Fourier TransformComplex Wavelets: The Morlet WaveletThe Wavelet Transform, Short Time Fourier Transform and Heisenberg BoxesAdaptive Transforms: Matching PursuitsWavelets in Two or More DimensionsThe CWT: Computation, Boundary Effects and ViewingEndnotesTHE DISCRETE WAVELET TRANSFORMIntroductionFrames and Orthogonal Wavelet BasesDiscrete Input Signals of Finite LengthEverything DiscreteDaubechies WaveletsTranslation InvarianceBiorthogonal WaveletsTwo-Dimensional Wavelet TransformsAdaptive Transforms: Wavelet PacketsEndnotesFLUIDSIntroductionStatistical MeasuresEngineering FlowsGeophysical FlowsOther Applications in Fluids and Further ResourcesENGINEERING TESTING, MONITORING AND CHARACTERISATIONIntroductionMachining Processes: Control, Chatter, Wear and BreakageRotating MachineryDynamicsChaosNon-Destructive TestingSurface CharacterisationOther Applications in Engineering and Further ResourcesMEDICINEIntroductionThe ElectrocardiogramNeuroelectric WaveformsPathological Sounds, Ultrasounds and VibrationsBlood Flow and Blood PressureMedical ImagingOther Applications in MedicineFRACTALS, FINANCE, GEOPHYSICS AND OTHER AREASIntroductionFractalsFinanceGeophysicsOther AreasAPPENDIX: USEFUL BOOKS, PAPERS AND WEBSITESUseful Books and PapersUseful WebsitesREFERENCESINDEX
Presents an overview of the theory and practical applications of wavelet transform methods. This book presents an overview of the wavelet transform, followed by a discussion of the mathematics of both discrete and continuous wavelet transforms. It concludes with applications in a variety of subject areas.
9780750306928 0750306920
Wavelets (Mathematics)
515.2433 / ADD