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Wavelets with Scale Dependent Properties

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Symbolic and Numerical Scientific Computation (SNSC 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2630))

Abstract

In this paper we revisite the constitutive equations for coefficients of orthonormal wavelets. We construct wavelets that satisfy alternatives to the vanishing moments conditions, giving orthonormal basis functions with scale dependent properties. Wavelets with scale dependent properties are applied for the compression of an oscillatory one-dimensional signal.

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Author information

Authors and Affiliations

  1. Research Institute for Symbolic Computation, Johannes Kepler University, A-4040, Linz, Austria

    Peter Paule

  2. Applied Mathematics, Department of Computer Science, University Innsbruck, A-6020, Innsbruck, Austria

    Otmar Scherzer

  3. GE Medical Systems Kretz Ultrasound, A-4871, Zipf, Austria

    Armin Schoisswohl

Authors
  1. Peter Paule
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  2. Otmar Scherzer
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  3. Armin Schoisswohl
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Editor information

Editors and Affiliations

  1. RISC-Linz, Johannes Kepler University Linz, Altenberger Str. 69, 4040, Linz, Austria

    Franz Winkler

  2. Institute of Computational Mathematics, Johannes Kepler University Linz, Altenberger Str. 69, 4040, Linz, Austria

    Ulrich Langer

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© 2003 Springer-Verlag Berlin Heidelberg

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Paule, P., Scherzer, O., Schoisswohl, A. (2003). Wavelets with Scale Dependent Properties. In: Winkler, F., Langer, U. (eds) Symbolic and Numerical Scientific Computation. SNSC 2001. Lecture Notes in Computer Science, vol 2630. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45084-X_12

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  • DOI: https://doi.org/10.1007/3-540-45084-X_12

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40554-2

  • Online ISBN: 978-3-540-45084-9

  • eBook Packages: Springer Book Archive

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