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Tree-Structured Legendre Multi-wavelets

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Book cover Computer Aided Systems Theory – EUROCAST 2005 (EUROCAST 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3643))

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Abstract

We address the problem of constructing multi-wavelets, that is, wavelets with more than one scaling and wavelet function. We generalize the algorithm, proposed by Alpert [1] for generating discrete Legendre multi-wavelets to the case of arbitrary, non-dyadic time interval splitting.

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References

  1. Alpert, B.: A class of bases in L2 for the sparse representation of integral operators. SIAM J. Math. Anal. 24, 246–262 (1993)

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Author information

Authors and Affiliations

  1. Tampere University of Technology, Institute of Signal Processing, P. O. Box 553, FIN-33101, Tampere, Finland

    Ekaterina Pogossova, Karen Egiazarian, Atanas Gotchev & Jaakko Astola

Authors
  1. Ekaterina Pogossova
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  2. Karen Egiazarian
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  3. Atanas Gotchev
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  4. Jaakko Astola
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Editor information

Editors and Affiliations

  1. Instituto Universitario de Ciencias y Tecnologícas Cibernéticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira, 35017, Las Palmas de Gran Canaria,, Las Palmas, Spain

    Roberto Moreno Díaz

  2. Systems Theory, Johannes Kepler University Linz, Altenbergerstrasse 69, A-4040, Linz, Austria

    Franz Pichler

  3. Universidad de Las Palmas de Gran Canaria, Instituto Universitario de Ciencias y Tecnologícas Cibernéticas, Campus de Tafira, 35017, Las Palmas de Gran Canaria, Las Palmas, Spain

    Alexis Quesada Arencibia

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© 2005 Springer-Verlag Berlin Heidelberg

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Pogossova, E., Egiazarian, K., Gotchev, A., Astola, J. (2005). Tree-Structured Legendre Multi-wavelets. In: Moreno Díaz, R., Pichler, F., Quesada Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2005. EUROCAST 2005. Lecture Notes in Computer Science, vol 3643. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11556985_39

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  • DOI: https://doi.org/10.1007/11556985_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29002-5

  • Online ISBN: 978-3-540-31829-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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