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From Fourier analysis to wavelets

Author: Jonas Gomes; Luiz Velho
Publisher: Cham, Switzerland : Springer, [2015]
Series: IMPA monographs, volume 3.
Edition/Format:   eBook : Document : English
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jonas Gomes; Luiz Velho
ISBN: 9783319220758 3319220756 3319220748 9783319220741
OCLC Number: 921302097
Description: 1 online resource.
Contents: 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.
Series Title: IMPA monographs, volume 3.
Responsibility: Jonas Gomes, Luiz Velho.

Abstract:

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  Read more...

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"The authors present a short textbook about thefundamentals of Fourier analysis (such as Fourier series, Fourier transform,and windowed Fourier transform) and wavelet theory (such as Read more...

 
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