An introduction to wavelet analysis

Author(s)

• Walnut, David F.

Bibliographic Information

An introduction to wavelet analysis

David F. Walnut

（Applied and numerical harmonic analysis / series editor, John J. Benedetto）

Birkhäuser, c2002

Note

Includes bibliographical references (p. [441]-444) and index

Description and Table of Contents

Description

This book provides a comprehensive presentation of the conceptual basis of wavelet analysis, including the construction and analysis of wavelet bases. It motivates the central ideas of wavelet theory by offering a detailed exposition of the Haar series, then shows how a more abstract approach allows readers to generalize and improve upon the Haar series. It then presents a number of variations and extensions of Haar construction.

Table of Contents

Preface Part I: Preliminaries Functions and Convergence Fourier Series The Fourier Transform Signals and Systems Part II: The Haar System The Haar System The Discrete Haar Transform Part III: Orthonormal Wavelet Bases Mulitresolution Analysis The Discrete Wavelet Transform Smooth, Compactly Supported Wavelets Part IV: Other Wavelet Constructions Biorthogonal Wavelets Wavelet Packets Part V: Applications Image Compression Integral Operators Appendix A: Review of Advanced Calculus and Linear Algebra Appendix B: Excursions in Wavelet Theory Appendix C: References Cited in the Text Index

by "Nielsen BookData"

Details

• NCID: BA54273430
• ISBN:
  • 0817639624
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Boston
• Pages/Volumes: xvii, 449 p.
• Size: 25 cm
• Classification:
  • LCC : QA403.3
  • DC21 : 515/.2433
• Subject Headings:
  • LCSH : Wavelets (Mathematics)
• Parent Bibliography ID:
  • BA30247287