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Optimal use of components of a dyadic wavelet representation

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Moscow University Mathematics Bulletin Aims and scope

Abstract

In practice, one may encounter linear transforms whose result is important for a certain set of vector components only. In particular this relates to vector components restored from its dyadic wavelet representation. In this paper we study optimization of the index set of the dyadic wavelet representation which can be used to restore required original vector components.

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References

  1. S. Mallat, A Wavelet Tour of Signal Processing (Academic Press, 1999; Mir, Moscow, 2005).

  2. A. V. Mikhalev and A. V. Shokurov, “Optimal Use of Wavelet Components,” Uspekhi Matem. Nauk 62(4), 171 (2007) [Russ. Math. Surveys 62 (4), 816 (2007)].

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Authors and Affiliations

  1. Moscow State University, Faculty of Mechanics and Mathematics, Leninskie Gory, Moscow, 119991, Russia

    A. V. Shokurov

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  1. A. V. Shokurov
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Original Russian Text © A.V. Shokurov, 2009, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2009, Vol. 64, No. 5, pp. 3–6.

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Shokurov, A.V. Optimal use of components of a dyadic wavelet representation. Moscow Univ. Math. Bull. 64, 179–182 (2009). https://doi.org/10.3103/S0027132209050015

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  • DOI: https://doi.org/10.3103/S0027132209050015

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