Applied Wavelet Analysis With S-Plus
Using a visual data analysis approach, wavelet concepts are explained in a way that is intuitive and easy to understand. Furthermore, in addition to wavelets, a whole range of related signal processing techniques such as wavelet packets, local cosine analysis, and matching pursuits are covered, and applications of wavelet analysis are illustrated -including nonparametric function estimation, digital image compression, and time-frequency signal analysis. This book and software package is...
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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.
1Introduction12Wavelet Analysis of 1-D Signals113Wavelet Analysis of Images414Exploratory Wavelet Analysis535More on Wavelet Analysis676Nonparametric Estimation with Wavelets837Wavelet Packet Analysis1118Cosine Packet Analysis1439Wavelet Packet and Cosine Packet Analysis of Images17110Matching Pursuit and Molecules19711Variations on Wavelet Analysis21112Wavelet Algorithms and Filters22913Wavelet Packet and Cosine Packet Algorithms25114Boundary Conditions for Wavelet Analysis267AOrthogonal Wavelet Functions279BBiorthogonal Wavelet Functions287CWavelet Classes and Objects295DS+WAVELETS Function List305References317Index327
