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

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Wavelets

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

Abstract

We define wavelets and the wavelet transform. After discussing their basic properties, we focus on orthonormal bases of wavelets, in particular bases of wavelets with finite support.

‘Bevoegdverklaard Navorser’ at the Belgium National Foundation for Scientific Research (on leave); on leave also from Department of Theoretical Physics, Vrije Universiteit Brussel, (Belgium).

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Author information

Authors and Affiliations

  1. AT & T Bell Laboratories, 600 Mountain Avenue, 07974, Murray Hill, NJ, USA

    I. Daubechies

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  1. I. Daubechies
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Editor information

Editors and Affiliations

  1. Centre National de la Recherche Scientifique, Luminy - Case 907, F-13288, Marseille Cedex 9, France

    Jean-Michel Combes , Alexander Grossmann  & Philippe Tchamitchian ,  & 

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© 1989 Springer-Verlag Berlin Heidelberg

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Daubechies, I. (1989). Orthonormal Bases of Wavelets with Finite Support — Connection with Discrete Filters. In: Combes, JM., Grossmann, A., Tchamitchian, P. (eds) Wavelets. Inverse Problems and Theoretical Imaging. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97177-8_3

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  • DOI: https://doi.org/10.1007/978-3-642-97177-8_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-97179-2

  • Online ISBN: 978-3-642-97177-8

  • eBook Packages: Springer Book Archive

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