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Wavelets

Time-Frequency Methods and Phase Space

  • Conference proceedings
  • © 1989

Overview

Editors:
  1. Jean-Michel Combes

    1. Centre National de la Recherche Scientifique, Marseille Cedex 9, France

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  2. Alexander Grossmann

    1. Centre National de la Recherche Scientifique, Marseille Cedex 9, France

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    You can also search for this editor in PubMed   Google Scholar

  3. Philippe Tchamitchian

    1. Centre National de la Recherche Scientifique, Marseille Cedex 9, France

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Part of the book series: inverse problems and theoretical imaging (IPTI)

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Table of contents (30 papers)

  1. Front Matter

    Pages I-IX
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  2. Introduction to Wavelet Transforms

    1. Front Matter

      Pages 1-1
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    2. Reading and Understanding Continuous Wavelet Transforms

      • A. Grossmann, R. Kronland-Martinet, J. Morlet
      Pages 2-20

    3. Orthonormal Wavelets

      • Y. Meyer
      Pages 21-37

    4. Orthonormal Bases of Wavelets with Finite Support — Connection with Discrete Filters

      • I. Daubechies
      Pages 38-66

  4. Wavelets and Signal Processing

    1. Front Matter

      Pages 125-125
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    2. Wavelets and Seismic Interpretation

      • J. L. Larsonneur, J. Morlet
      Pages 126-131

    3. Wavelet Transformations in Signal Detection

      • F. B. Tuteur
      Pages 132-138

    4. Use of Wavelet Transforms in the Study of Propagation of Transient Acoustic Signals Across a Plane Interface Between Two Homogeneous Media

      • S. Ginette, A. Grossmann, Ph. Tchamitchian
      Pages 139-146

    5. Time-Frequency Analysis of Signals Related to Scattering Problems in Acoustics Part I: Wigner-Ville Analysis of Echoes Scattered by a Spherical Shell

      • J. P. Sessarego, J. Sageloli, P. Flandrin, M. Zakharia
      Pages 147-153

    6. Coherence and Projectors in Acoustics

      • J. G. Slama
      Pages 154-157

    7. Wavelets and Granular Analysis of Speech

      • J. S. Liénard, C. d’Alessandro
      Pages 158-163

    8. Time-Frequency Representations of Broad-Band Signals

      • J. Bertrand, P. Bertrand
      Pages 164-171

    9. Operator Groups and Ambiguity Functions in Signal Processing

      • A. Berthon
      Pages 172-180

  5. Mathematics and Mathematical Physics

    1. Front Matter

      Pages 181-181
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    2. Wavelet Transform Analysis of Invariant Measures of Some Dynamical Systems

      • A. Arneodo, G. Grasseau, M. Holschneider
      Pages 182-196
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Keywords

About this book

The last two subjects mentioned in the title "Wavelets" are so well established that they do not need any explanations. The first is related to them, but a short introduction is appropriate since the concept of wavelets emerged fairly recently. Roughly speaking, a wavelet decomposition is an expansion of an arbitrary function into smooth localized contributions labeled by a scale and a position pa­ rameter. Many of the ideas and techniques related to such expansions have existed for a long time and are widely used in mathematical analysis, theoretical physics and engineering. However, the rate of progress increased significantly when it was realized that these ideas could give rise to straightforward calculational methods applicable to different fields. The interdisciplinary structure (R.c.P. "Ondelettes") of the C.N .R.S. and help from the Societe Nationale Elf-Aquitaine greatly fostered these developments. This conference was held at the Centre National de Rencontres Mathematiques (C.I.R.M) in Marseille from December 14 to 18, 1987 and brought together an interdisciplinary mix of participants. We hope that these proceedings will convey to the reader some of the excitement and flavor of the meeting.

Editors and Affiliations

  • Centre National de la Recherche Scientifique, Marseille Cedex 9, France

    Jean-Michel Combes, Alexander Grossmann, Philippe Tchamitchian

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