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Non-ideal sampling in shift-invariant spaces associated with quadratic-phase Fourier transformsopen access

Authors
Lone, Waseem Z.Shah, Firdous A.Nisar, Kottakkaran SooppyAlbalawi, WedadAlshahrani, Badriah ElserhaniPark, Choonkil
Issue Date
Jan-2023
Publisher
ELSEVIER
Keywords
Shift-invariant spaces; Quadratic-phase Fourier transform; Convolution; Sampling
Citation
ALEXANDRIA ENGINEERING JOURNAL, v.63, pp.191 - 197
Indexed
SCIE
SCOPUS
Journal Title
ALEXANDRIA ENGINEERING JOURNAL
Volume
63
Start Page
191
End Page
197
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/185389
DOI
10.1016/j.aej.2022.07.065
ISSN
1110-0168
Abstract
Non-ideal sampling has nourished as one of the most attractive alternatives to classical sampling, which relies on shift-invariant spaces. The present study focuses on investigating the non-ideal sampling in shift-invariant spaces associated with the quadratic-phase Fourier transforms. The primary aim is to formulate novel convolution structures in quadratic-phase Fourier domains and invoke such structures to develop the generalized shift-invariant spaces. Moreover, we present the non-ideal sampling procedure via generalised shift-invariant spaces in the quadratic-phase Fourier domains by employing the proposed generalised convolutions.
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