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Periodic Wavelets from Scratch

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Journal of Computational Analysis and Applications

Abstract

Periodic wavelets can be constructed from most standard wavelets by periodization. In this work we first derive some of their properties and then construct the periodic wavelets directly from their Fourier series without reference to standard wavelets. Several examples are given some of which are not constructable from the usual wavelets on the real line.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin, 53201

    Gilbert G. Walter & Luchuan Cai

Authors
  1. Gilbert G. Walter
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  2. Luchuan Cai
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Walter, G.G., Cai, L. Periodic Wavelets from Scratch. Journal of Computational Analysis and Applications 1, 25–41 (1999). https://doi.org/10.1023/A:1022614519335

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  • DOI: https://doi.org/10.1023/A:1022614519335

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