Applied Wavelet Analysis with S-PLUS

This book introduces applied wavelet analysis through the S-PLUS software system. Using a visual data analysis approach, wavelet concepts are explained in a way that is intuitive and easy to understand. In addition to wavelets, a whole range of related signal processing techniques such as wavelet packets, local cosine analysis, and matching pursuits are covered. Applications of wavelet analysis are illustrated, including nonparametric function estimation, digital image compression, and time-frequency signal analysis.The book and software is intended for a broad range of data analysts, scientists, and engineers. While most textbooks on wavelet analysis require advanced training in mathematics, this book minimizes reliance on formal mathematical methods. Readers should be familiar with calculus and linear algebra at the undergraduate level.

1. Introduction; 2. Wavelet Analysis of 1-D Signals; 3. Wavelet Analysis of Images; 4. Exploratory Wavelet Analysis; 5. More on Wavelet Analysis; 6. Nonparametric Estimation with Wavelets; 7. Wavelet Packet Analysis; 8. Cosine Packet Analysis; 9. Wavelet Packet and Cosine Packet Analysis of Images; 10. Matching Pursuits and Molecules; 11. Variation on Wavelet Analysis; 12. Wavelet Algorithms and Filters; 13. Wavelet Packet and Cosine Packet Algorithms; 14. Boundary Conditions; A. Orthogonal Wavelet Functions; B. Biorthogonal Wavelet Functions; C. Wavelet Classes and Objects; D. S+ Wavelets Function List