The mathematics of signal processing:
Arising from courses taught by the authors, this largely self-contained treatment is ideal for mathematicians who are interested in applications or for students from applied fields who want to understand the mathematics behind their subject. Early chapters cover Fourier analysis, functional analysis...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2012
|
| Schriftenreihe: | Cambridge texts in applied mathematics
48 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/CBO9781139003896 https://doi.org/10.1017/CBO9781139003896 https://doi.org/10.1017/CBO9781139003896 https://doi.org/10.1017/CBO9781139003896 |
| Zusammenfassung: | Arising from courses taught by the authors, this largely self-contained treatment is ideal for mathematicians who are interested in applications or for students from applied fields who want to understand the mathematics behind their subject. Early chapters cover Fourier analysis, functional analysis, probability and linear algebra, all of which have been chosen to prepare the reader for the applications to come. The book includes rigorous proofs of core results in compressive sensing and wavelet convergence. Fundamental is the treatment of the linear system y=Φx in both finite and infinite dimensions. There are three possibilities: the system is determined, overdetermined or underdetermined, each with different aspects. The authors assume only basic familiarity with advanced calculus, linear algebra and matrix theory and modest familiarity with signal processing, so the book is accessible to students from the advanced undergraduate level. Many exercises are also included |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Umfang: | 1 online resource (xii, 449 pages) |
| ISBN: | 9781139003896 |
| DOI: | 10.1017/CBO9781139003896 |
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| 505 | 8 | |a Preface -- Introduction -- 1. Normed vector spaces -- 2. Analytic tools -- 3. Fourier series -- 4. The Fourier transform -- 5. Compressive sampling -- 6. Discrete transforms -- 7. Linear filters -- 8. Windowed fourier and continuous wavelet transforms. Frames -- 9. Multiresolution analysis -- 10. Discrete wavelet theory -- 11. Biorthogonal filters and wavelets -- 12. Parsimonious representation of data | |
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Datensatz im Suchindex
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| author | Damelin, Steven B. |
| author_facet | Damelin, Steven B. |
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| author_variant | s b d sb sbd |
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| bvnumber | BV043940841 |
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| contents | Preface -- Introduction -- 1. Normed vector spaces -- 2. Analytic tools -- 3. Fourier series -- 4. The Fourier transform -- 5. Compressive sampling -- 6. Discrete transforms -- 7. Linear filters -- 8. Windowed fourier and continuous wavelet transforms. Frames -- 9. Multiresolution analysis -- 10. Discrete wavelet theory -- 11. Biorthogonal filters and wavelets -- 12. Parsimonious representation of data |
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| dewey-full | 621.38220151 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.38220151 |
| dewey-search | 621.38220151 |
| dewey-sort | 3621.38220151 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
| doi_str_mv | 10.1017/CBO9781139003896 |
| format | Electronic eBook |
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| id | DE-604.BV043940841 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:49:15Z |
| institution | BVB |
| isbn | 9781139003896 |
| language | English |
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| publishDate | 2012 |
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| spelling | Damelin, Steven B. Verfasser aut The mathematics of signal processing Steven B. Damelin, Willard Miller, Jr Cambridge Cambridge University Press 2012 1 online resource (xii, 449 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge texts in applied mathematics 48 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Preface -- Introduction -- 1. Normed vector spaces -- 2. Analytic tools -- 3. Fourier series -- 4. The Fourier transform -- 5. Compressive sampling -- 6. Discrete transforms -- 7. Linear filters -- 8. Windowed fourier and continuous wavelet transforms. Frames -- 9. Multiresolution analysis -- 10. Discrete wavelet theory -- 11. Biorthogonal filters and wavelets -- 12. Parsimonious representation of data Arising from courses taught by the authors, this largely self-contained treatment is ideal for mathematicians who are interested in applications or for students from applied fields who want to understand the mathematics behind their subject. Early chapters cover Fourier analysis, functional analysis, probability and linear algebra, all of which have been chosen to prepare the reader for the applications to come. The book includes rigorous proofs of core results in compressive sensing and wavelet convergence. Fundamental is the treatment of the linear system y=Φx in both finite and infinite dimensions. There are three possibilities: the system is determined, overdetermined or underdetermined, each with different aspects. The authors assume only basic familiarity with advanced calculus, linear algebra and matrix theory and modest familiarity with signal processing, so the book is accessible to students from the advanced undergraduate level. Many exercises are also included Mathematik Signal processing / Mathematics Signalverarbeitung (DE-588)4054947-1 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Signalverarbeitung (DE-588)4054947-1 s Mathematische Methode (DE-588)4155620-3 s 1\p DE-604 Miller, Willard Sonstige oth Erscheint auch als Druckausgabe 978-1-107-01322-3 Erscheint auch als Druckausgabe 978-1-107-60104-8 https://doi.org/10.1017/CBO9781139003896 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Damelin, Steven B. The mathematics of signal processing Preface -- Introduction -- 1. Normed vector spaces -- 2. Analytic tools -- 3. Fourier series -- 4. The Fourier transform -- 5. Compressive sampling -- 6. Discrete transforms -- 7. Linear filters -- 8. Windowed fourier and continuous wavelet transforms. Frames -- 9. Multiresolution analysis -- 10. Discrete wavelet theory -- 11. Biorthogonal filters and wavelets -- 12. Parsimonious representation of data Mathematik Signal processing / Mathematics Signalverarbeitung (DE-588)4054947-1 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| subject_GND | (DE-588)4054947-1 (DE-588)4155620-3 |
| title | The mathematics of signal processing |
| title_auth | The mathematics of signal processing |
| title_exact_search | The mathematics of signal processing |
| title_full | The mathematics of signal processing Steven B. Damelin, Willard Miller, Jr |
| title_fullStr | The mathematics of signal processing Steven B. Damelin, Willard Miller, Jr |
| title_full_unstemmed | The mathematics of signal processing Steven B. Damelin, Willard Miller, Jr |
| title_short | The mathematics of signal processing |
| title_sort | the mathematics of signal processing |
| topic | Mathematik Signal processing / Mathematics Signalverarbeitung (DE-588)4054947-1 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| topic_facet | Mathematik Signal processing / Mathematics Signalverarbeitung Mathematische Methode |
| url | https://doi.org/10.1017/CBO9781139003896 |
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