Wavelets: A Mathematical Tool for Signal Analysis - Brossura

Chui, Charles K.

 
9780898713848: Wavelets: A Mathematical Tool for Signal Analysis
Brossura
ISBN 10: 0898713846 ISBN 13: 9780898713848
Casa editrice: Society for Industrial and Applied Mathematics, 1997

Sinossi

Mathematically rigorous monograph on wavelets, written specifically for nonspecialists. Places the reader at the forefront of current research.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Descrizione del libro

This book is for engineers, applied mathematicians, and other scientists who want to learn about using wavelets to analyze, process, and synthesize images and signals. Applications are described in detail with step-by-step instructions about how to construct and apply wavelets. The only mathematically rigorous monograph written by a mathematician specifically for nonspecialists, it puts the reader at the forefront of current research.

Contenuti

Foreword; Preface; Software; Notation; 1. What are wavelets? Waveform modeling and segmentation; Time-frequency analysis; Fast algorithms and filter banks; 2. Time-Frequency Localization. Analog filters; RMS bandwidths; The short-time Fourier transform; The integral wavelet transform; Modeling the cochlea; 3. Multiresolution Analysis. Signal spaces with finite RMS bandwidth; Two simple mathematical representations; Multiresolution analysis; Cardinal splines; 4. Orthonormal Wavelets. Orthogonal wavelet spaces; Wavelets of Haar, Shannon, and Meyer; Spline wavelets of Battle–Lemarié and Strömberg; The Daubechies wavelets; 5. Biorthogonal Wavelets. The need for duals; Compactly supported spline wavelets; The duality principle; Total positivity and optimality of time-frequency windows; 6. Algorithms. Signal representations; Orthogonal decompositions and reconstructions; Graphical display of signal representations; Multidimensional wavelet transforms; The need for boundary wavelets; Spline functions on a bounded interval; Boundary spline wavelets with arbitrary knots; 7. Applications. Detection of singularities and feature extraction; Data compression; Numerical solutions of integral equations; Summary and Notes; References; Subject Index.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Society for Industrial and Applied Mathematics
Data di pubblicazione
1997
Lingua
Inglese
ISBN 10 
0898713846
ISBN 13 
9780898713848
Rilegatura
Copertina flessibile
Numero di pagine
228
Contatto del produttore
non disponibile
Persona responsabile
non disponibile