大葉大學圖書館 |

From Fourier analysis to wavelets[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.2433
書名/作者:	From Fourier analysis to wavelets/ by Jonas Gomes, Luiz Velho.
作者:	Gomes, Jonas.
其他作者:	Velho, Luiz.
出版者:	Cham : : Springer International Publishing :, 2015.
面頁冊數:	xiii, 210 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Wavelets (Mathematics)
標題:	Fournier analysis.
標題:	Mathematics.
標題:	Fourier Analysis.
標題:	Abstract Harmonic Analysis.
標題:	Signal, Image and Speech Processing.
ISBN:	9783319220758
ISBN:	9783319220741
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-22075-8

From Fourier analysis to wavelets[electronic resource] /
Gomes, Jonas.

From Fourier analysis to wavelets[electronic resource] /by Jonas Gomes, Luiz Velho. - Cham :Springer International Publishing :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:

393849
Wavelets (Mathematics)

LC Class. No.: QA403.3

Dewey Class. No.: 515.2433

From Fourier analysis to wavelets[electronic resource] /
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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.
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