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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.
List 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
About the author
Lokenath Debnath is Professor of the Department of Mathematics and Professor of Mechanical and Aerospace Engineering at the University of Central Florida in Orlando. He received his M.Sc. and Ph.D. degrees in pure mathematics from the University of Calcutta, and obtained D.I.C. and Ph.D. degrees in applied mathematics from the Imperial College of Science and Technology, University of London. He was a Senior Research Fellow at the University of Cambridge and has had visiting appointments to several universities in the United States and abroad. His many honors and awards include two Senior Fulbright Fellowships and an NSF Scientist award to visit India for lectures and research. Dr. Debnath is author or co-author of several books and research papers in pure and applied mathematics, and serves on several editorial boards for scientific journals. He is the current and founding Managing Editor of theInternational Journal of Mathematics and Mathematical Sciences.
Summary
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.
Additional text
"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
Report
"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
