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" Wavelets : "
edited by Jean-Michel Combes, Alexander Grossmann, Philippe Tchamitchian.
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BL
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| Record Number
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756672
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b576635
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| Main Entry
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edited by Jean-Michel Combes, Alexander Grossmann, Philippe Tchamitchian.
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| Title & Author
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Wavelets : : Time-Frequency Methods and Phase Space\ edited by Jean-Michel Combes, Alexander Grossmann, Philippe Tchamitchian.
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| Publication Statement
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Berlin, Heidelberg : Springer Berlin Heidelberg, 1989
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| Series Statement
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Inverse problems and theoretical imaging.
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| Page. NO
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(ix, 315 pages 88 illustrations)
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| ISBN
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3642971776
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: 9783642971778
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| Contents
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I Introduction to Wavelet Transforms --; Reading and Understanding Continuous Wavelet Transforms --; Orthonormal Wavelets --; Orthonormal Bases of Wavelets with Finite Support --; Connection with Discrete Filters --; II Some Topics in Signal Analysis --; Some Aspects of Non-Stationary Signal Processing with Emphasis on Time-Frequency and Time-Scale Methods --; Detection of Abrupt Changes in Signal Processmg --; The Computer, Music, and Sound Models --; III Wavelets and Signal Processing --; Wavelets and Seismic Interpretation --; Wavelet Transformations in Signal Detection --; Use of Wavelet Transforms in the Smdy of Propagation of Transient Acoustic Signals Across a Plane Interface Between Two Homogeneous Media --; Time-Frequency Analysis of Signals Related to Scattering Problems in Acoustics Part I: Wigner-Ville Analysis of Echoes Scattered by a Spherical Shell --; Coherence and Projectors in Acoustics --; Wavelets and Granular Analysis of Speech --; Time-Frequency Representations of Broad-Band Signals --; Operator Groups and Ambiguity Functions in Signal Processing --; IV Mathematics and Mathematical Physics --; Wavelet Transform Analysis of Invariant Measures of Some Dynamical Systems --; Holomorphic Integral Representations for the Solutions of the Hehnholtz Equation --; Wavelets and Path Integral --; Mean Value Theorems and Concentration Operators in Bargmann and Bergman Space --; Besov Sobolev Algebras of Symbols --; Poincaré Coherent States and Relativistic Phase Space Analysis --; A Relativistic Wigner Function Affiliated with the Weyl-Poincaré Group --; Wavelet Transforms Associated to the n-Dimensional Euclidean Group with Dilations: Signal in More Than One Dimension --; Construction of Wavelets on Open Sets --; Wavelets on Chord-Arc Curves --; Multiresolution Analysis in Non-Homogeneous Media --; About Wavelets and Elliptic Operators --; Towards a Method for Solving Partial Differential Equations Using Wavelet Bases --; V Implementations --; A Real-Time Algorithm for Signal Analysis with the Help of the Wavelet Transform --; An Implementation of the 'algorithme k trous' to Compute the Wavelet Transform --; An Algorithm for Fast Imaging of Wavelet Transforms --; Index of Contributors.
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| Abstract
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Time-frequency methods and phase space are as well known to most physicists, engineers and mathematicians as traditional Fourier analysis, which has recently found for many applications a competitor in the concept of wavelets. Crudely speaking a wavelet decomposition is an expansion of an arbitrary function into smooth localized contributions labeled by a scale and a position parameter. The meeting recorded in this volume brought together people exploring and applying these concepts in an interdisciplinary framework. Topics discussed range from purely mathematical aspects to signal and speech analysis, seismic and acoustic applications, and wavelets in computer vision.
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Mathematical physics.
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Physical geography.
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Physics.
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Alexander Grossmann
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Jean-Michel Combes
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Philippe Tchamitchian
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