Wavelet Transforms and Time-Frequency Signal Analysis

✍ Scribed by John J. Benedetto, Oliver M. Treiber (auth.), Lokenath Debnath (eds.)

• Publisher: Birkhäuser Basel
• Year: 2001
• Tongue: English
• Leaves: 443
• Series: Applied and Numerical Harmonic Analysis
• Edition: 1
• Category: Library

✦ Synopsis

This volume is designed as a new source for modern topics dealing with wavelets, wavelet transforms time-frequency signal analysis and other applications for future development of this new, important and useful subject for mathematics, science and engineering. Its main features include:
A broad coverage of recent material on wavelet analysis, and time-frequency signal analysis and other applications that are not usually covered in other recent reference books.
The material presented in this volume brings together a rich variety of ideas that blend most aspects of the subject mentioned above.
This volume brings together a detailed account of major recent developments in wavelets, wavelet transforms and time-frequency signal analysis.
This volume provides the reader with a thorough mathematical background and a wide variety of applications that are sufficient to do interdisciplinary collaborative research in applied mathematics.
The book provides information that puts the reader at the forefront of the current resarch. An up-to-date bibliography is included at the end of each chapter to stimulate new interest in future study and research.

✦ Table of Contents

Front Matter....Pages i-xx
Front Matter....Pages 1-1
Wavelet Frames: Multiresolution Analysis and Extension Principles....Pages 3-36
Convergence Rates of Multiscale and Wavelet Expansions....Pages 37-65
Denoising via Nonorthogonal Wavelet Transforms....Pages 67-80
Osiris Wavelets and the Dipole Gas....Pages 81-120
Wavelets in Closed Forms....Pages 121-143
Wavelet Galerkin Methods for Boundary Integral Equations and the Coupling with Finite Element Methods....Pages 145-179
Computing and Analyzing Turbulent Flows Using Wavelets....Pages 181-216
The Uncertainty Principle for the Short-Time Fourier Transform and Wavelet Transform....Pages 217-232
Front Matter....Pages 233-233
Quadratic Time-Frequency Analysis of Linear Time-Varying Systems....Pages 235-287
Inequalities in Mellin-Fourier Signal Analysis....Pages 289-319
Introduction to Time-Frequency Signal Analysis....Pages 321-380
Reduced Interference Time-Frequency Distributions: Scaled Decompositions and Interpretations....Pages 381-417
Back Matter....Pages 419-425

✦ Subjects

Signal, Image and Speech Processing; Applications of Mathematics; Appl.Mathematics/Computational Methods of Engineering; Topological Groups, Lie Groups