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Applications of Mathematics
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Applications of Mathematics
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An algebraic construction of discrete wavelet transforms

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1993 Czech Publisher:Institute of Mathematics, Czech Academy of SciencesJournal:Applications of Mathematics, volume 38, pages 169-193 (issn: 0862-7940, eissn: 1572-9109, Copyright policy )
Authors: Jaroslav Kautský;

doi: 10.21136/am.1993.104545

An algebraic construction of discrete wavelet transforms

Abstract

Discrete wavelets are viewed as linear algebraic transforms given by banded orthogonal matrices, which can be built up from small matrix blocks with special properties. A generalization of the Daubechies finite support orthogonal wavelets is discussed and some special cases promising more rapid signal reduction are derived.

Keywords

orthogonal transforms, orthogonal wavelets, pyramidal algorithm, banded orthogonal matrices, Other matrix algorithms, Linear transformations, semilinear transformations, signal reduction, Discrete wavelets, Orthogonalization in numerical linear algebra

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    		 8
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
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    		 Top 10%
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Top 10%
Average
bronze