Wavelets: a mathematical tool for signal analysis
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
1997
|
| Schriftenreihe: | SIAM monographs on mathematical modeling and computation
1 |
| Schlagworte: | |
| Online-Zugang: | TUM01 UBW01 UBY01 UER01 Volltext |
| Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 199-203) and index Foreword -- Preface -- Software -- Notation -- 1. What are wavelets? -- Waveform modeling and segmentation -- Time-frequency analysis -- Fast algorithms and filter banks -- 2. Time-frequency localization -- Analog filters -- RMS bandwidths -- The short-time Fourier transform -- The integral wavelet transform -- Modeling the cochlea -- 3. Multiresolution analysis -- Signal spaces with finite RMS bandwidth -- Two simple mathematical representations -- Multiresolution analysis -- Cardinal splines -- 4. Orthonormal wavelets -- Orthogonal wavelet spaces -- Wavelets of Haar, Shannon, and Meyer -- Spline wavelets of Battle-Lemarié and Strömberg -- The Daubechies wavelets -- 5. Biorthogonal wavelets -- The need for duals -- Compactly supported spline wavelets -- The duality principle -- Total positivity and optimality of time-frequency windows -- 6. Algorithms -- Signal representations -- Orthogonal decompositions and reconstructions -- Graphical display of signal representations -- Multidimensional wavelet transforms -- The need for boundary wavelets -- Spline functions on a bounded interval -- Boundary spline wavelets with arbitrary knots -- 7. Applications -- Detection of singularities and feature extraction -- Data compression -- Numerical solutions of integral equations -- Summary and notes -- References -- Subject index Wavelets continue to be powerful mathematical tools that can be used to solve problems for which the Fourier (spectral) method does not perform well or cannot handle. This book is for engineers, applied mathematicians, and other scientists who want to learn about using wavelets to analyze, process, and synthesize images and signals. Applications are described in detail and there are step-by-step instructions about how to construct and apply wavelets. The only mathematically rigorous monograph written by a mathematician specifically for nonspecialists, it describes the basic concepts of these mathematical techniques, outlines the procedures for using them, compares the performance of various approaches, and provides information for problem solving, putting the reader at the forefront of current research |
| Beschreibung: | 1 Online-Ressource (xviii, 210 Seiten) |
| ISBN: | 0898713846 9780898713848 |
| DOI: | 10.1137/1.9780898719727 |
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| 500 | |a Includes bibliographical references (s. 199-203) and index | ||
| 500 | |a Foreword -- Preface -- Software -- Notation -- 1. What are wavelets? -- Waveform modeling and segmentation -- Time-frequency analysis -- Fast algorithms and filter banks -- 2. Time-frequency localization -- Analog filters -- RMS bandwidths -- The short-time Fourier transform -- The integral wavelet transform -- Modeling the cochlea -- 3. Multiresolution analysis -- Signal spaces with finite RMS bandwidth -- Two simple mathematical representations -- Multiresolution analysis -- Cardinal splines -- 4. Orthonormal wavelets -- Orthogonal wavelet spaces -- Wavelets of Haar, Shannon, and Meyer -- Spline wavelets of Battle-Lemarié and Strömberg -- The Daubechies wavelets -- 5. Biorthogonal wavelets -- The need for duals -- Compactly supported spline wavelets -- The duality principle -- Total positivity and optimality of time-frequency windows -- 6. Algorithms -- Signal representations -- Orthogonal decompositions and reconstructions -- Graphical display of signal representations -- Multidimensional wavelet transforms -- The need for boundary wavelets -- Spline functions on a bounded interval -- Boundary spline wavelets with arbitrary knots -- 7. Applications -- Detection of singularities and feature extraction -- Data compression -- Numerical solutions of integral equations -- Summary and notes -- References -- Subject index | ||
| 500 | |a Wavelets continue to be powerful mathematical tools that can be used to solve problems for which the Fourier (spectral) method does not perform well or cannot handle. This book is for engineers, applied mathematicians, and other scientists who want to learn about using wavelets to analyze, process, and synthesize images and signals. Applications are described in detail and there are step-by-step instructions about how to construct and apply wavelets. The only mathematically rigorous monograph written by a mathematician specifically for nonspecialists, it describes the basic concepts of these mathematical techniques, outlines the procedures for using them, compares the performance of various approaches, and provides information for problem solving, putting the reader at the forefront of current research | ||
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Datensatz im Suchindex
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| author | Chui, Charles K. 1940- |
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| author_role | aut |
| author_sort | Chui, Charles K. 1940- |
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| bvnumber | BV039747135 |
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| discipline | Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| doi_str_mv | 10.1137/1.9780898719727 |
| format | Electronic eBook |
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| id | DE-604.BV039747135 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:10:18Z |
| institution | BVB |
| isbn | 0898713846 9780898713848 |
| language | English |
| lccn | 96051635 |
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| owner_facet | DE-91 DE-BY-TUM DE-29 DE-706 DE-83 DE-20 |
| physical | 1 Online-Ressource (xviii, 210 Seiten) |
| psigel | ZDB-72-SIA |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |
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| series | SIAM monographs on mathematical modeling and computation |
| series2 | SIAM monographs on mathematical modeling and computation |
| spelling | Chui, Charles K. 1940- Verfasser (DE-588)12038695X aut Wavelets a mathematical tool for signal analysis Charles K. Chui Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 1997 1 Online-Ressource (xviii, 210 Seiten) txt rdacontent c rdamedia cr rdacarrier SIAM monographs on mathematical modeling and computation 1 Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 199-203) and index Foreword -- Preface -- Software -- Notation -- 1. What are wavelets? -- Waveform modeling and segmentation -- Time-frequency analysis -- Fast algorithms and filter banks -- 2. Time-frequency localization -- Analog filters -- RMS bandwidths -- The short-time Fourier transform -- The integral wavelet transform -- Modeling the cochlea -- 3. Multiresolution analysis -- Signal spaces with finite RMS bandwidth -- Two simple mathematical representations -- Multiresolution analysis -- Cardinal splines -- 4. Orthonormal wavelets -- Orthogonal wavelet spaces -- Wavelets of Haar, Shannon, and Meyer -- Spline wavelets of Battle-Lemarié and Strömberg -- The Daubechies wavelets -- 5. Biorthogonal wavelets -- The need for duals -- Compactly supported spline wavelets -- The duality principle -- Total positivity and optimality of time-frequency windows -- 6. Algorithms -- Signal representations -- Orthogonal decompositions and reconstructions -- Graphical display of signal representations -- Multidimensional wavelet transforms -- The need for boundary wavelets -- Spline functions on a bounded interval -- Boundary spline wavelets with arbitrary knots -- 7. Applications -- Detection of singularities and feature extraction -- Data compression -- Numerical solutions of integral equations -- Summary and notes -- References -- Subject index Wavelets continue to be powerful mathematical tools that can be used to solve problems for which the Fourier (spectral) method does not perform well or cannot handle. This book is for engineers, applied mathematicians, and other scientists who want to learn about using wavelets to analyze, process, and synthesize images and signals. Applications are described in detail and there are step-by-step instructions about how to construct and apply wavelets. The only mathematically rigorous monograph written by a mathematician specifically for nonspecialists, it describes the basic concepts of these mathematical techniques, outlines the procedures for using them, compares the performance of various approaches, and provides information for problem solving, putting the reader at the forefront of current research Mathematik Wavelets (Mathematics) Signal processing / Mathematics Digitale Signalverarbeitung (DE-588)4113314-6 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf Digitale Signalverarbeitung (DE-588)4113314-6 s Wavelet (DE-588)4215427-3 s 1\p DE-604 Erscheint auch als Druck-Ausgabe, Paperback 0898713846 Erscheint auch als Druck-Ausgabe, Paperback 9780898713848 SIAM monographs on mathematical modeling and computation 1 (DE-604)BV047220660 1 https://doi.org/10.1137/1.9780898719727 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Chui, Charles K. 1940- Wavelets a mathematical tool for signal analysis SIAM monographs on mathematical modeling and computation Mathematik Wavelets (Mathematics) Signal processing / Mathematics Digitale Signalverarbeitung (DE-588)4113314-6 gnd Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4113314-6 (DE-588)4215427-3 |
| title | Wavelets a mathematical tool for signal analysis |
| title_auth | Wavelets a mathematical tool for signal analysis |
| title_exact_search | Wavelets a mathematical tool for signal analysis |
| title_full | Wavelets a mathematical tool for signal analysis Charles K. Chui |
| title_fullStr | Wavelets a mathematical tool for signal analysis Charles K. Chui |
| title_full_unstemmed | Wavelets a mathematical tool for signal analysis Charles K. Chui |
| title_short | Wavelets |
| title_sort | wavelets a mathematical tool for signal analysis |
| title_sub | a mathematical tool for signal analysis |
| topic | Mathematik Wavelets (Mathematics) Signal processing / Mathematics Digitale Signalverarbeitung (DE-588)4113314-6 gnd Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Mathematik Wavelets (Mathematics) Signal processing / Mathematics Digitale Signalverarbeitung Wavelet |
| url | https://doi.org/10.1137/1.9780898719727 |
| volume_link | (DE-604)BV047220660 |
| work_keys_str_mv | AT chuicharlesk waveletsamathematicaltoolforsignalanalysis |