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Multiresolution analysis for linear canonical S transform

Multiresolution analysis for linear canonical S transform To deal with the time-varying signals, linear canonical S transform (LCST) is introduced to possess some desirable characteristics that are absent in conventional time–frequency transforms. Inspired by LCST, we in this paper developed an idea of novel MRA associated with LCST. Moreover, the construction method of orthogonal wavelets is developed. Finally an example is provided to justify the results. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Operator Theory Springer Journals

Multiresolution analysis for linear canonical S transform

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Publisher
Springer Journals
Copyright
Copyright © Tusi Mathematical Research Group (TMRG) 2021
ISSN
2662-2009
eISSN
2538-225X
DOI
10.1007/s43036-021-00164-z
Publisher site
See Article on Publisher Site

Abstract

To deal with the time-varying signals, linear canonical S transform (LCST) is introduced to possess some desirable characteristics that are absent in conventional time–frequency transforms. Inspired by LCST, we in this paper developed an idea of novel MRA associated with LCST. Moreover, the construction method of orthogonal wavelets is developed. Finally an example is provided to justify the results.

Journal

Advances in Operator TheorySpringer Journals

Published: Oct 1, 2021

Keywords: Linear canonical S transform; Scaling function; Multiresolution analysis; Orthogonality; 42C40; 42C15; 43A70; 11S85; 47G10

References