國立虎尾科技大學 |

From Fourier analysis to wavelets

Record Type:	Language materials, printed : Monograph/item
Title/Author:	From Fourier analysis to wavelets/ by Jonas Gomes, Luiz Velho.
Author:	Gomes, Jonas.
other author:	Velho, Luiz.
Published:	Cham :Imprint: Springer, : 2015.,
Description:	xiii, 210 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Signal, Image and Speech Processing. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-22075-8
ISBN:	9783319220758

From Fourier analysis to wavelets
Gomes, Jonas.

From Fourier analysis to wavelets[electronic resource] /by Jonas Gomes, Luiz Velho. - Cham :Imprint: Springer,2015. - xiii, 210 p. :ill., digital ;24 cm. - IMPA monographs ;v.3. - IMPA monographs ;v.2..

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.

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.

ISBN: 9783319220758

Standard No.: 10.1007/978-3-319-22075-8doiSubjects--Topical Terms:

670837
Signal, Image and Speech Processing.

LC Class. No.: QA403.3

Dewey Class. No.: 515.2433

From Fourier analysis to wavelets
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245 1 0 $a From Fourier analysis to wavelets $h [electronic resource] / $c by Jonas Gomes, Luiz Velho.
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300 $a xiii, 210 p. : $b ill., digital ; $c 24 cm.
490 1 $a IMPA monographs ; $v v.3
505 0 $a 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.
520 $a 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.
650 2 4 $a Signal, Image and Speech Processing. $3 670837
650 2 4 $a Abstract Harmonic Analysis. $3 672075
650 2 4 $a Fourier Analysis. $3 672627
650 1 4 $a Mathematics. $3 527692
650 0 $a Fournier analysis. $3 1069863
650 0 $a Wavelets (Mathematics) $3 528163
700 1 $a Velho, Luiz. $3 898767
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856 4 0 $u http://dx.doi.org/10.1007/978-3-319-22075-8
950 $a Mathematics and Statistics (Springer-11649)