An introduction to wavelet analysis

著者

• Walnut, David F.

書誌事項

An introduction to wavelet analysis

David F. Walnut

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

Birkhäuser, c2002

注記

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

内容説明・目次

内容説明

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.

目次

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

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA54273430
• ISBN:
  • 0817639624
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Boston
• ページ数/冊数: xvii, 449 p.
• 大きさ: 25 cm
• 分類:
  • LCC : QA403.3
  • DC21 : 515/.2433
• 件名:
  • LCSH : Wavelets (Mathematics)
• 親書誌ID:
  • BA30247287