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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Damelin, Steven B.
Otros Autores: Miller, Willard
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 2012.
Colección:Cambridge texts in applied mathematics ; 48.
Temas:
Signal processing > Mathematics.
Traitement du signal > Mathématiques.
COMPUTERS > Information Theory.
TECHNOLOGY & ENGINEERING > Signals & Signal Processing.
Procesado de señales
Signal processing > Mathematics
Acceso en línea:Texto completo

MARC

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100 1 |a Damelin, Steven B. 
245 1 4 |a The mathematics of signal processing /  |c Steven B. Damelin, Willard Miller, Jr. 
260 |a Cambridge ;  |a New York :  |b Cambridge University Press,  |c 2012. 
300 |a 1 online resource (xii, 449 pages) :  |b illustrations 
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490 1 |a Cambridge texts in applied mathematics ;  |v 48 
504 |a Includes bibliographical references (pages 437-442). 
505 0 |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. 
588 0 |a Print version record. 
520 |a 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= x 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. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Signal processing  |x Mathematics. 
650 6 |a Traitement du signal  |x Mathématiques. 
650 7 |a COMPUTERS  |x Information Theory.  |2 bisacsh 
650 7 |a TECHNOLOGY & ENGINEERING  |x Signals & Signal Processing.  |2 bisacsh 
650 0 7 |a Procesado de señales  |2 embucm 
650 7 |a Signal processing  |x Mathematics  |2 fast 
700 1 |a Miller, Willard. 
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830 0 |a Cambridge texts in applied mathematics ;  |v 48. 
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