Debnath L. Wavelets and Signal Processing 2003

Textbook in PDF format

The mathematical theory of wavelet analysis and its applications have been a rich area of research over the past twenty years. Nowadays, wavelet analysis is an integral part of the solution to difficult problems in fields as diverse as signal processing, computer vision, data compression, pattern recognition, image processing, computer graphics, medical imaging, and defense technology. In recognition of the many new and exciting results in wavelet analysis and these related disciplines, this volume consists of invited articles by mathematicians and engineering scientists who have made important contributions to the study of wavelets, wavelet transforms, time-frequency signal analysis, turbulence, and signal and image processing. Like its predecessor Wavelet Transforms and Time-Frequency Signal Analysis, this work emphasizes both theory and practice, and provides directions for future research.
Given that the literature in wavelet analysis must continually change to accompany the discovery and implementation of new ideas and techniques, it has become increasingly important for a broad audience of researchers to keep pace with new developments in the subject. Much of the latest research, however, is widely scattered across journals and books and is often inaccessible or difficult to locate. This work addresses that difficulty by bringing together original research articles in key areas, as well as expository/survey articles, open questions, unsolved problems, and updated bibliographies. Designed for pure and applied mathematicians, engineers, physicists, and graduate students, this reference text brings these diverse groups to the forefront of current research.
Part I Wavelets and Wavelet Transforms
The Wavelet Transform and Time-Frequency Analysis
Multiwavelets in Rn with an Arbitrary Dilation Matrix
On the Nonexistence of Certain Divergence-free Multiwavelets
Osiris Wavelets and Isis Variables
Wavelets for Statistical Estimation and Detection
Part II Signal Processing and Time-Frequency Signal Analysis
High Performance Time-Frequency Distributions for Practical Applications
Covariant Time-Frequency Analysis
Time-Frequency/Time-Scale Reassigmnent
Spatial Time-Frequency Distributions: Theory and Applications
Time-Frequency Processing of Time-Varying Signals with Nonlinear Group Delay
Self-Similarity and Intermittency
Selective Thresholding in Wavelet Image Compression
Coherent Vortex Simulation of Two- and Three-Dimensional Turbulent Flows Using Orthogonal Wavelets