Minimally Supported Frequency (MSF) d -Dilation Wavelets

Aparna Vyas and Gibak Kim
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Aparna Vyas: Department of Mathematics, Manav Rachna University, Faridabad 121004, India
Gibak Kim: School of Electrical Engineering, Soongsil University, Seoul 06978, Korea

Mathematics, 2021, vol. 9, issue 11, 1-9

Abstract: In this paper, we provide a geometric construction of a symmetric 2 n -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 4 m -intervals whereas the other has ( 4 m + 2 ) -intervals, for m ? N . In addition, we construct a family of d -dilation wavelet sets that has an infinite number of components.

Keywords: d -dilation wavelet; MSF d -dilation wavelet; d -dilation wavelet set (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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