Synopses & Reviews
The mathematical theory of wavelet analysis and its applications have grown considerably over the past twenty years. Wavelet analysis is now 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. The present volume is an interdisciplinary digest of recent developments, open questions, and unsolved problems for future research in these rapidly growing areas. Written by mathematicians and engineers, the book is divided into two main parts: "Wavelets and Wavelet Transforms," and "Signal Processing and Time-Frequency Signal Analysis." Specific topics covered include: * Current developments of the mathematical theory of wavelet analysis to time-frequency signal analysis * Wavelet methods for analyzing and computing turbulent flows * Geometric multiscale analysis * Image processing methods in remote sensing * Digital image techniques in medicine * Wavelet-based data compression in signal processing * Wavelet-based algorthims for solving differential equations Rich in applications and methods, and complete with up-to-date bibliographies, this book is an excellent text/reference for advanced students, researchers, and practitioners in wavelets, wavelet transforms, signal processing and time-frequency signal analysis. Professionals working in electrical and computer engineering, applied mathematics, computer science, biomedical engineering, physics, optics, and fluid mechanics will also find the book a valuable resource. M. G. Amin P. Flandrin A. Papandreou-Suppappola F. Auger G.J. Frazer G. Pellegrino A. Azzalini C. Heil K.M. Ramachandran G. Battle R. Chandramouli P. Sansgiry A. Benassi F. Hlawatsch V. Sucic B. Boashash J. Istas G. Tauböck C.A. Cabrelli J.D. Lakey T. Twaroch E. Chassande-Mottin A. R. Lindsey Y. Zhang L. Cohen I. Mihaila J. Ziuber S.Cohen U.M. Molter S. Deguy M.C. Pereyra
Review
"The Editor of this volume has performed a commendable job of compiling a set of articles, a majority of which can be branded as excellent, into a single volume, which includes state-of-the-art theoretical results as well as some applications. The book will be useful for researchers as well as practicing professionals, not only because of its contents, but also because of the fact that it provides directions for future developments." --Journal of the Indian Institute of Science "A mathematically sound and self-contained presentation on recent advances in the highly applicable field of Gabor analysis.... This book is a must for all interested in signal analysis, and, of course, in particular in Gabor analysis." --Monatschefte für Mathematik
Synopsis
Provides a digest of the current developments, open questions and unsolved problems likely to determine a new frontier for future advanced study and research in the rapidly growing areas of wavelets, wavelet transforms, signal analysis, and signal and image processing. Ideal reference work for advanced students and practitioners in wavelets, and wavelet transforms, signal processing and time-frequency signal analysis. Professionals working in electrical and computer engineering, applied mathematics, computer science, biomedical engineering, physics, optics, and fluid mechanics will also find the book a valuable resource.
Table of Contents
Preface Contributors Part I: Wavelets and Wavelet Transforms The Wavelet Transform and Time-Frequency Analysis / L. Cohen Multiwavelets in Rn with an Arbitrary Dilation Matrix / C.A. Cabrelli, C. Heil and U.M. Molter On the Nonexistence of Certain Divergence-Free Multi-Wavelets / J.D. Lakey and M.C. Pereyra Osiris Wavelets and Isis Variables / G. Battle Wavelets for Statistical Estimation and Detection / R. Chandramouli and K.M. Ramachandran Part II: Signal Processing and Time-Frequency Signal Analysis High Performance Time-Frequency Distributions for Practical Applications \ B. Boashash and V. Sucic Covariant Time-Frequency Analysis / L. Franz Hlawatsch, G. Tauböck and T. Twaroch Time Frequency/Time-scale Reassignment / E. Chassande-Mottin, F. Auger, P. Flandrin Spatial Time-Frequency Distributions: Theory and Applications / M. G. Amin, Y. Zhang, G.J. Frazer, and A. R. Lindsey Time-Frequency Processing of Trying Signals with Nonlinear Group Delay / A. Papandreou-Suppappola Self-Similarity and Intermittency, A. Benassi, S. Cohen, S. Deguy, and J. Istas Selective Thresholding in Wavelet Image Compression / P. Sansgiry and I. Mihaila Coherent Vortex Simulation of Two- and Three-Dimensional Turbulent Flows using Orthogonal Wavelets / A. Azzalini, G. Pellegrino, and J. Ziuber Index