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Introduction to Wavelets and Wavelet Transforms
A Primer
C. Sidney Burrus, Haitao Guo, Ramesh A. Gopinath
Résumé
- 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
PAPIER | |
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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