From Fourier Analysis to Wavelets / / by Jonas Gomes, Luiz Velho
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| Autore: |
Gomes Jonas
|
| Titolo: |
From Fourier Analysis to Wavelets / / by Jonas Gomes, Luiz Velho
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Edizione: | 1st ed. 2015. |
| Descrizione fisica: | 1 online resource (216 p.) |
| Disciplina: | 510 |
| Soggetto topico: | Fourier analysis |
| Harmonic analysis | |
| Signal processing | |
| Image processing | |
| Speech processing systems | |
| Fourier Analysis | |
| Abstract Harmonic Analysis | |
| Signal, Image and Speech Processing | |
| Persona (resp. second.): | VelhoLuiz |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | Introduction -- Function Representation and Reconstruction -- The Fourier Transform -- Windowed Fourier Transform -- The Wavelet Transform -- Multiresolution Representation -- The Fast Wavelet Transform -- Filter Banks and Multiresolution -- Constructing Wavelets -- Wavelet Design -- Orthogonal Wavelets -- Biorthogonal Wavelets -- Directions and Guidelines -- Appendices. |
| Sommario/riassunto: | This text introduces the basic concepts of function spaces and operators, both from the continuous and discrete viewpoints. Fourier and Window Fourier Transforms are introduced and used as a guide to arrive at the concept of Wavelet transform. The fundamental aspects of multiresolution representation, and its importance to function discretization and to the construction of wavelets is also discussed. Emphasis is given on ideas and intuition, avoiding the heavy computations which are usually involved in the study of wavelets. Readers should have a basic knowledge of linear algebra, calculus, and some familiarity with complex analysis. Basic knowledge of signal and image processing is desirable. This text originated from a set of notes in Portuguese that the authors wrote for a wavelet course on the Brazilian Mathematical Colloquium in 1997 at IMPA, Rio de Janeiro. |
| Titolo autorizzato: | From Fourier Analysis to Wavelets |
| ISBN: | 3-319-22075-6 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910300249703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
IMPA Monographs ; ; 3