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Introduction to Wavelets and Wavelet Transforms
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Librairie Eyrolles - Paris 5e

Introduction to Wavelets and Wavelet Transforms

Introduction to Wavelets and Wavelet Transforms

A Primer

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

268 pages, parution le 01/08/1997


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.
  • Uses a mathematical as well as a signal processing viewpoint to give an accurate picture of what can be done and what cannot.
  • Develops an insight and intuition that is more general and versatile than that based only on Fourier methods.
  • Uses a language that is a mixture of that from the mathematical and the signal processing literature.
  • Develops both the signal expansion and the filter bank approaches.
  • Contains an impressive array of new and exciting generalizations of the basic wavelet system (many which have only been in journals, conference proceedings, and on websites) including M-band wavelets, biorthogonal systems, wavelet packets, and multiwavelets.
  • Gives an example application of wavelets to an approximate FFT algorithm that has order-N arithmetic complexity.
  • Contains an extensive guide to other wavelet literature.
  • 1. Introduction.
  • 2. A Multiresolution Formulation.
  • 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.
  • Summary Overview.
  • References.
  • Bibliography.
  • Appendix A. Derivations for Chapter on Scaling Function.
  • Appendix B. Derivations for Section on Properties.
  • Appendix C. Matlab Programs.
  • Index.

Caractéristiques techniques

Éditeur(s) Prentice Hall
Auteur(s) C. Sidney Burrus, Haitao Guo, Ramesh A. Gopinath
Parution 01/08/1997
Nb. de pages 268
Format 17,8 x 23,3
Couverture Broché
Poids 437g
Intérieur Noir et Blanc
EAN13 9780134896007


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