Introduction to Wavelets and Wavelet Transforms: A Primer

C. Sidney Burrus, Ramesh A. Gopinath, Haitao Guo

  • 出版商: Prentice Hall
  • 出版日期: 1997-08-14
  • 售價: $1,020
  • 貴賓價: 9.5$969
  • 語言: 英文
  • 頁數: 288
  • 裝訂: Paperback
  • ISBN: 0134896009
  • ISBN-13: 9780134896007
  • 已絕版

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Summary

Advanced undergraduate and beginning graduate students, faculty, researchers and practitioners in signal processing, telecommunications, and computer science, and applied mathematics. It assumes a background of Fourier series and transforms and of linear algebra and matrix methods.

This primer presents a well balanced blend of the mathematical theory underlying wavelet techniques and a discussion that gives insight into why wavelets are successful in signal analysis, compression, dection, numerical analysis, and a wide variety of other theoretical and practical applications. It fills a gap in the existing wavelet literature with its unified view of expansions of signals into bases and frames, as well as the use of filter banks as descriptions and algorithms.        

Table of Contents

1. Introduction to Wavelets.
2. A Multiresolution Formulation of Wavelet Systems.
3. Filter Banks and the Discrete Wavelet Transform.
4. Bases, Orthogonal Bases, Biorthogonal Bases, Frames, Tight Frames, and Unconditional Bases.
5. The Scaling Function and Scaling Coefficients, Wavelet and Wavelet Coefficients.
6. Regularity, Moments, and Wavelet System Design.
7. Generalizations of the Basic Multiresolution Wavelet System.
8. Filter Banks and Transmultiplexers.
9. Calculation of the Discrete Wavelet Transform.
10. Wavelet-Based Signal Processing and Applications.
11. Summary Overview.
12. References.
Bibliography.
Appendix A. Derivations for Chapter 5 on Scaling Functions.
Appendix B. Derivations for Section on Properties.
Appendix C. Matlab Programs.
Index.