An Introduction to Wavelet Analysis (Applied and Numerical Harmonic Analysis 1st Corrected ed. 2004. Corr. 2nd printing 2004)

An Introduction to Wavelet Analysis (Applied and Numerical Harmonic Analysis 1st Corrected ed. 2004. Corr. 2nd printing 2004)

By: David F. Walnut (author)Hardback

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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.

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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

Product Details

  • publication date: 27/01/2004
  • ISBN13: 9780817639624
  • Format: Hardback, Paperback
  • Number Of Pages: 472
  • ID: 9780817639624
  • weight: 835
  • ISBN10: 0817639624
  • edition: 1st Corrected ed. 2004. Corr. 2nd printing 2004

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