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Mathematics
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Mathematics
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Mathematics
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Mathematics
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https://dx.doi.org/10.3390/mat...
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Minimally Supported Frequency (MSF) d-Dilation Wavelets

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 03 Jun 2021 English Publisher:MDPI AGJournal:Mathematics, volume 9, page 1,284 (eissn: 2227-7390, Copyright policy )
Authors: Aparna Vyas; Gibak Kim;

doi: 10.3390/math9111284

Minimally Supported Frequency (MSF) d-Dilation Wavelets

Abstract

In this paper, we provide a geometric construction of a symmetric 2n-interval minimally supported frequency (MSF) d-dilation wavelet set with d∈(1,∞) and characterize all symmetric d-dilation wavelet sets. We also provide two special kinds of symmetric d-dilation wavelet sets, one of which has 4m-intervals whereas the other has (4m+2)-intervals, for m∈N. In addition, we construct a family of d-dilation wavelet sets that has an infinite number of components.

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Keywords

MSF <i>d</i>-dilation wavelet, QA1-939, <i>d</i>-dilation wavelet set, <i>d</i>-dilation wavelet, Mathematics

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
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!
2
Average
Average
Average
gold