前言 1. Introduction to Wavelets. 1.1 Wavelets and Wavelet Expansion Systems 1.2 The Discrete Wavelet Transform 1.3 The Discrets-Time and Continuous Wavelet Transforms 1.4 Exercises and Experiments 1.5 This Chapter 2. A Multiresolution Formulation of Wavelet Systems. 2.1 Signal Spaces 2.2 The Scaling Function 2.3 The Wavelet Functions 2.4 The Discrete Wavelet Transform 2.5 A Parseveal's Theorem 2.6 Display of the Discrete Wavelet Transform and the Wavelet Expansion 2.7 Examples of Wavelet Expansions 2.8 An Example of the Haar Wavelet Syatem 3. Filter Banks and the Discrete Wavelet Transform. 3.1 Analysis-From Fine Scale to Coarse Scale 3.2 Synthesis-From Coarse Scale to Fine Scale 3.3 Input Coefficients 3.4 lattices and Lifting 3.5 Different points of View 4. Bases, Orthogonal Bases, Biorthogonal Bases, Frames, Tight Frames, and Unconditional Bases. 4.1 Bases,Orhogonal Bases,and Biorthogonal Bases 4.2 Frames and Tight Frames 4.3 Conditional and Unconditional Bases 5. The Scaling Function and Scaling Coefficients, Wavelet and Wavelet Coefficients. 5.1 Tools and Definitions 5.2 Necessary Conditions 5.3 Frequency Domain Necessary Conditions 5.4 Sufficient Conditions 5.5 The Wavelet 5.6 Alternate Normalizations 5.7 Example Scaling Functions and Wavelets 5.8 Further Properties of the Scaling Function and Wavelet 5.9 Parameterization of the Acaling coefficients 5.10 Calculation the Basic Function and Wavelet 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.
鄂公網(wǎng)安備 42010302001612號(hào) 