From Fourier Analysis to Wavelets

• Κύριοι συγγραφείς: Gomes, Jonas (Συγγραφέας), Velho, Luiz (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Έκδοση: 1st ed. 2015.
• Σειρά: IMPA Monographs ; 3
• Θέματα: Mathematics.; Harmonic analysis.; Fourier analysis.; Fourier Analysis.; Abstract Harmonic Analysis.; Signal, Image and Speech Processing.

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 representat...

Πίνακας περιεχομένων:

• 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.