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Building pre-wavelet on the Fibonacci chain

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Czechoslovak Journal of Physics Aims and scope

Abstract

The wavelet families are usually dyadic. In this paper we shall present a wavelet construction which is based on an aperiodic discretization of ℝ known as the ‘Fibonacci chain’. Corresponding multiresolution analysis and the elementary example of Fibonacci Haar system are presented.

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References

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Nuclear Science and Physical Engineering, Cezch Technical University, Trojanova 13, 120 00, Prague, Czech Republic

    Miroslav Andrle

  2. LPTMC, Université Paris 7 — Denis Diderot, Box 7020, 75251, Paris Cedex 05, France

    Miroslav Andrle

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  1. Miroslav Andrle
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Andrle, M. Building pre-wavelet on the Fibonacci chain. Czech J Phys 51, 285–291 (2001). https://doi.org/10.1023/A:1017582419876

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  • DOI: https://doi.org/10.1023/A:1017582419876

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