Lokenath Debnath

Wavelet Transforms and Time-Frequency Signal Analysis (eBook, PDF)

• Format: PDF

Produktbeschreibung

A state-of-the-art collection of chapters critically surveying wavelet analysis as a tool for fundamental computational harmonic analysis problems in applied math and electrical engineering.

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Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 425
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461201373
• Artikelnr.: 44203937

Autorenporträt

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.

Inhaltsangabe

I Wavelets and Wavelet Transforms.- 1 Wavelet Frames: Multiresolution Analysis and Extension Principles.- 2 Convergence Rates of Multiscale and Wavelet Expansions.- 3 Denoising via Nonorthogonal Wavelet Transforms.- 4 Osiris Wavelets and the Dipole Gas.- 5 Wavelets in Closed Forms.- 6 Wavelet Galerkin Methods for Boundary Integral Equations and the Coupling with Finite Element Methods.- 7 Computing and Analyzing Turbulent Flows Using Wavelets.- 8 The Uncertainty Principle for the Short-Time Fourier Transform and Wavelet Transform.- II Time-Frequency Signal Analysis.- 9 Quadratic Time-Frequency Analysis of Linear Time-Varying Systems.- 10 Inequalities in Mellin-Fourier Signal Analysis.- 11 Introduction to Time-Frequency Signal Analysis.- 12 Reduced Interference Time-Frequency Distributions: Scaled Decompositions and Interpretations.

Rezensionen

"This book is a great collection of recent material of recent investigation on wavelet and time-frequency analysis that is not covered in the literature.... The book is an important source for all readers interested in a broad perspective. In particular, a wide variety of applications are presented that are important for interdisciplinary collaborative research." -ZAA