Non-ideal sampling in shift-invariant spaces associated with quadratic-phase Fourier transformsopen access
- Authors
- Lone, Waseem Z.; Shah, Firdous A.; Nisar, Kottakkaran Sooppy; Albalawi, Wedad; Alshahrani, Badriah Elserhani; Park, 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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