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Record Nr. |
UNINA9910452993003321 |
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Autore |
Damelin Steven B. |
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Titolo |
The mathematics of signal processing / / Steven B. Damelin, Willard Miller, Jr [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2012 |
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ISBN |
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1-107-22943-X |
1-280-77480-0 |
1-139-22281-3 |
9786613685193 |
1-139-22452-2 |
1-139-21801-8 |
1-139-00389-5 |
1-139-21492-6 |
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Descrizione fisica |
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1 online resource (xii, 449 pages) : digital, PDF file(s) |
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Collana |
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Cambridge texts in applied mathematics ; ; 48 |
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Disciplina |
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Soggetti |
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Signal processing - Mathematics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references (p. [437]-442) and index. |
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Nota di contenuto |
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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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Sommario/riassunto |
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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 |
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