Ripples in Mathematics: the Discrete Wavelet Transform
Yet another book on wavelets. There are many books on wavelets available, written for readers with different backgrounds. But the topic is becoming ever more important in mainstream signal processing, since the new JPEG2000 standard is based on wavelet techniques. Wavelet techniques are also impor...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2001
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FHI01 UER01 Volltext |
| Zusammenfassung: | Yet another book on wavelets. There are many books on wavelets available, written for readers with different backgrounds. But the topic is becoming ever more important in mainstream signal processing, since the new JPEG2000 standard is based on wavelet techniques. Wavelet techniques are also impor tant in the MPEG-4 standard. So we thought that there might be room for yet another book on wavelets. This one is limited in scope, since it only covers the discrete wavelet trans form, which is central in modern digital signal processing. The presentation is based on the lifting technique discovered by W. Sweldens in 1994. Due to a result by I. Daubechies and W. Sweldens from 1996 this approach covers the same class of discrete wavelet transforms as the one based on two channel filter banks with perfect reconstruction. The goal of this book is to enable readers, with modest backgrounds in mathematics, signal analysis, and programming, to understand wavelet based techniques in signal analysis, and perhaps to enable them to apply such methods to real world problems. The book started as a set of lecture notes, written in Danish, for a group of teachers of signal analysis at Danish Engineering Colleges. The material has also been presented to groups of engineers working in industry, and used in mathematics courses at Aalborg University |
| Beschreibung: | 1 Online-Ressource (IX, 246 p) |
| ISBN: | 9783642567025 |
| DOI: | 10.1007/978-3-642-56702-5 |
Internformat
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| 520 | |a Yet another book on wavelets. There are many books on wavelets available, written for readers with different backgrounds. But the topic is becoming ever more important in mainstream signal processing, since the new JPEG2000 standard is based on wavelet techniques. Wavelet techniques are also impor tant in the MPEG-4 standard. So we thought that there might be room for yet another book on wavelets. This one is limited in scope, since it only covers the discrete wavelet trans form, which is central in modern digital signal processing. The presentation is based on the lifting technique discovered by W. Sweldens in 1994. Due to a result by I. Daubechies and W. Sweldens from 1996 this approach covers the same class of discrete wavelet transforms as the one based on two channel filter banks with perfect reconstruction. The goal of this book is to enable readers, with modest backgrounds in mathematics, signal analysis, and programming, to understand wavelet based techniques in signal analysis, and perhaps to enable them to apply such methods to real world problems. The book started as a set of lecture notes, written in Danish, for a group of teachers of signal analysis at Danish Engineering Colleges. The material has also been presented to groups of engineers working in industry, and used in mathematics courses at Aalborg University | ||
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Jensen, Arne La Cour-Harbo, Anders 1973- |
| author_GND | (DE-588)1050904214 (DE-588)123075300 |
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| bvnumber | BV045149322 |
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| ctrlnum | (ZDB-2-ENG)978-3-642-56702-5 (ZDB-2_SPE)978-3-642-56702-5 (OCoLC)879621271 (DE-599)BVBBV045149322 |
| dewey-full | 519 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| indexdate | 2024-07-10T08:10:03Z |
| institution | BVB |
| isbn | 9783642567025 |
| language | English |
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| spelling | Jensen, Arne Verfasser (DE-588)1050904214 aut Ripples in Mathematics the Discrete Wavelet Transform by Arne Jensen, Anders la Cour-Harbo Berlin, Heidelberg Springer Berlin Heidelberg 2001 1 Online-Ressource (IX, 246 p) txt rdacontent c rdamedia cr rdacarrier Yet another book on wavelets. There are many books on wavelets available, written for readers with different backgrounds. But the topic is becoming ever more important in mainstream signal processing, since the new JPEG2000 standard is based on wavelet techniques. Wavelet techniques are also impor tant in the MPEG-4 standard. So we thought that there might be room for yet another book on wavelets. This one is limited in scope, since it only covers the discrete wavelet trans form, which is central in modern digital signal processing. The presentation is based on the lifting technique discovered by W. Sweldens in 1994. Due to a result by I. Daubechies and W. Sweldens from 1996 this approach covers the same class of discrete wavelet transforms as the one based on two channel filter banks with perfect reconstruction. The goal of this book is to enable readers, with modest backgrounds in mathematics, signal analysis, and programming, to understand wavelet based techniques in signal analysis, and perhaps to enable them to apply such methods to real world problems. The book started as a set of lecture notes, written in Danish, for a group of teachers of signal analysis at Danish Engineering Colleges. The material has also been presented to groups of engineers working in industry, and used in mathematics courses at Aalborg University Engineering Appl.Mathematics/Computational Methods of Engineering Analysis Linear and Multilinear Algebras, Matrix Theory Computational Intelligence Image Processing and Computer Vision Mathematical Methods in Physics Image processing Matrix theory Algebra Mathematical analysis Analysis (Mathematics) Physics Applied mathematics Engineering mathematics Computational intelligence Wavelet (DE-588)4215427-3 gnd rswk-swf Wavelet (DE-588)4215427-3 s 1\p DE-604 La Cour-Harbo, Anders 1973- (DE-588)123075300 aut Erscheint auch als Druck-Ausgabe 9783540416623 https://doi.org/10.1007/978-3-642-56702-5 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Jensen, Arne La Cour-Harbo, Anders 1973- Ripples in Mathematics the Discrete Wavelet Transform Engineering Appl.Mathematics/Computational Methods of Engineering Analysis Linear and Multilinear Algebras, Matrix Theory Computational Intelligence Image Processing and Computer Vision Mathematical Methods in Physics Image processing Matrix theory Algebra Mathematical analysis Analysis (Mathematics) Physics Applied mathematics Engineering mathematics Computational intelligence Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4215427-3 |
| title | Ripples in Mathematics the Discrete Wavelet Transform |
| title_auth | Ripples in Mathematics the Discrete Wavelet Transform |
| title_exact_search | Ripples in Mathematics the Discrete Wavelet Transform |
| title_full | Ripples in Mathematics the Discrete Wavelet Transform by Arne Jensen, Anders la Cour-Harbo |
| title_fullStr | Ripples in Mathematics the Discrete Wavelet Transform by Arne Jensen, Anders la Cour-Harbo |
| title_full_unstemmed | Ripples in Mathematics the Discrete Wavelet Transform by Arne Jensen, Anders la Cour-Harbo |
| title_short | Ripples in Mathematics |
| title_sort | ripples in mathematics the discrete wavelet transform |
| title_sub | the Discrete Wavelet Transform |
| topic | Engineering Appl.Mathematics/Computational Methods of Engineering Analysis Linear and Multilinear Algebras, Matrix Theory Computational Intelligence Image Processing and Computer Vision Mathematical Methods in Physics Image processing Matrix theory Algebra Mathematical analysis Analysis (Mathematics) Physics Applied mathematics Engineering mathematics Computational intelligence Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Engineering Appl.Mathematics/Computational Methods of Engineering Analysis Linear and Multilinear Algebras, Matrix Theory Computational Intelligence Image Processing and Computer Vision Mathematical Methods in Physics Image processing Matrix theory Algebra Mathematical analysis Analysis (Mathematics) Physics Applied mathematics Engineering mathematics Computational intelligence Wavelet |
| url | https://doi.org/10.1007/978-3-642-56702-5 |
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