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Wavelets

Time-Frequency Methods and Phase Space

  • Jean-Michel Combes
  • Alexander Grossmann
  • Philippe Tchamitchian

Part of the Inverse Problems and Theoretical Imaging book series (IPTI)

Table of contents

  1. Front Matter
    Pages I-IX
  2. Introduction to Wavelet Transforms

    1. Front Matter
      Pages 1-1
    2. A. Grossmann, R. Kronland-Martinet, J. Morlet
      Pages 2-20
    3. Y. Meyer
      Pages 21-37
  3. Some Topics in Signal Analysis

  4. Wavelets and Signal Processing

  5. Mathematics and Mathematical Physics

  6. Implementations

    1. Front Matter
      Pages 285-285
    2. M. Holschneider, R. Kronland-Martinet, J. Morlet, Ph. Tchamitchian
      Pages 286-297
  7. Back Matter
    Pages 313-315

About these proceedings

Introduction

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.

Keywords

Algebra algorithms calculus differential equation dynamical systems fourier analysis operator partial differential equation phase signal signal analysis signal processing transformation wavelet wavelet transform

Editors and affiliations

  • Jean-Michel Combes
    • 1
  • Alexander Grossmann
    • 1
  • Philippe Tchamitchian
    • 1
  1. 1.Centre National de la Recherche ScientifiqueMarseille Cedex 9France

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-97177-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 1989
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-97179-2
  • Online ISBN 978-3-642-97177-8
  • Series Print ISSN 0938-5509
  • Buy this book on publisher's site