Wavelet analysis : the scalable structure of information
著者
書誌事項
Wavelet analysis : the scalable structure of information
Springer, c1998
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注記
Includes bibliographical references (p. [397]-412) and index
"with 92 figures"--T.p.
内容説明・目次
内容説明
This text gives a clear introduction to the ideas and methods of wavelet analysis, making concepts understandable by relating them to methods in mathematics and engineering. It shows how to apply wavelet analysis to digital signal processing and presents a wide variety of applications.
目次
- Part I: The Scalable Structure of Information
- 1. The New Mathematical Engineering
- 2. Good Approximations
- 3. Wavelets: A Positional Notation for Functions
- Part II: Wavelet Theory
- 4. Algebra and Geometry of Wavelet Matrices
- 5. One_Dimensional Wavelet Systems
- 6. Examples of One-Dimensional Wavelet Systems
- 7. Higher-Dimensional Wavelet Systems
- Part III
- Wavelet Approximation and Algorithms
- 8. The Mallat Algorithm
- 9. Wavelet Approximation
- 10. Wavelet Calculus and Connection Coefficients
- 11. Multiscale Representation of geometry
- 12. Wavelet-Galerkin Solutions of partial Differentail Equations
- Part IV: Wavelet Applications
- 13. Wavelet Data Compression
- 14. Modulation and Channel Coding
- Bibliography
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