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Wavelets : a tutorial in theory and applications.
Wavelets: A Tutorial in Theory and Applications is the second volume in the new series WAVELET ANALYSIS AND ITS APPLICATIONS. As a companion to the first volume in this series, this volume covers several of the most important areas in wavelets, ranging from the development of the basic theory such a...
| Clasificación: | Libro Electrónico |
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| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boston :
Academic Press, Inc,
1992.
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| Colección: | Wavelet analysis and its applications.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 3. Haar wavelet matrices4. The algebraic and geometric structure of wavelet matrix spaces; 5. Wavelet matrix series; References; Chapter 3. Wavelets and Generalized Functions; 1. Introduction; 2. Background on wavelets and distributions; 3. Expansion of distributions in wavelets; 4. An application to sampling theorems; 5. Wavelets of distributions; References; Part II: Semi-orthogonal and Nonorthogonal Wavelets; Chapter 4. Cardinal Spline Interpolation and the Block Spin Construction of Wavelets; 1. Introduction; 2. Construction of the mother wavelet; 3. The Lemari�e case
- 4. Lemari�e pre-ondelettes in position space5. Cardinal spline interpolation; 6. The dual basis; 7. The polynomial relation; References; Chapter 5. Polynomial Splines and Wavelets-A Signal Processing Perspective; 1. Introduction; 2. Polynomial splines; 3. Polynomial spline wavelets; 4. Signal and image processing applications; 5. Conclusion; References; Chapter 6. Biorthogonal Wavelets; 1. Introduction; 2. Dual filters and dual wavelets; 3. Biorthogonal wavelet bases and stable subband coding schemes; 4. Biorthogonal wavelets and splines; Appendix: Proof of some lemmas; References
- Chapter 7. Nonorthogonal Multiresolution Analysis Using Wavelets1. Introduction; 2. Limitations of orthogonal multiresolution analysis; 3. Nonorthogonal multiresolution analysis; 4. Examples of nonorthogonal multiresolution analyses; Appendix A. (Proof of Proposition 9); Appendix B. (Proof of Proposition 10); Appendix C. (Proof of Theorem 13); Appendix D. (Proof of Proposition 15); References; Part III: Wavelet-like Local Bases; Chapter 8. Wavelets and Other Bases for Fast Numerical Linear Algebra; 1. Introduction; 2. Function representations in mathematical physics