Non-ideal sampling in shift-invariant spaces associated with quadratic-phase Fourier transforms
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 a...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-01-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016822005221 |
| _version_ | 1797943101577232384 |
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| author | Waseem Z. Lone Firdous A. Shah Kottakkaran Sooppy Nisar Wedad Albalawi B. Alshahrani Choonkil Park |
| author_facet | Waseem Z. Lone Firdous A. Shah Kottakkaran Sooppy Nisar Wedad Albalawi B. Alshahrani Choonkil Park |
| author_sort | Waseem Z. Lone |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-10T20:19:03Z |
| format | Article |
| id | doaj.art-916d2d0d4f03481ea5af984ee8f28aa9 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-04-10T20:19:03Z |
| publishDate | 2023-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-916d2d0d4f03481ea5af984ee8f28aa92023-01-26T04:44:21ZengElsevierAlexandria Engineering Journal1110-01682023-01-0163191197Non-ideal sampling in shift-invariant spaces associated with quadratic-phase Fourier transformsWaseem Z. Lone0Firdous A. Shah1Kottakkaran Sooppy Nisar2Wedad Albalawi3B. Alshahrani4Choonkil Park5Department of Mathematics, University of Kashmir, South Campus, Anantnag 192101, Jammu and Kashmir, IndiaDepartment of Mathematics, University of Kashmir, South Campus, Anantnag 192101, Jammu and Kashmir, IndiaDepartment of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawasir 11991, Saudi Arabia; Corresponding authors at: Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawasir 11991, Saudi Arabia (K.S. Nisar). Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Republic of Korea (C. Park).Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Physics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi ArabiaResearch Institute for Natural Sciences, Hanyang University, Seoul 04763, Republic of Korea; Corresponding authors at: Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawasir 11991, Saudi Arabia (K.S. Nisar). Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Republic of Korea (C. Park).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.http://www.sciencedirect.com/science/article/pii/S111001682200522146E3044A0544A3594A20 |
| spellingShingle | Waseem Z. Lone Firdous A. Shah Kottakkaran Sooppy Nisar Wedad Albalawi B. Alshahrani Choonkil Park Non-ideal sampling in shift-invariant spaces associated with quadratic-phase Fourier transforms Alexandria Engineering Journal 46E30 44A05 44A35 94A20 |
| title | Non-ideal sampling in shift-invariant spaces associated with quadratic-phase Fourier transforms |
| title_full | Non-ideal sampling in shift-invariant spaces associated with quadratic-phase Fourier transforms |
| title_fullStr | Non-ideal sampling in shift-invariant spaces associated with quadratic-phase Fourier transforms |
| title_full_unstemmed | Non-ideal sampling in shift-invariant spaces associated with quadratic-phase Fourier transforms |
| title_short | Non-ideal sampling in shift-invariant spaces associated with quadratic-phase Fourier transforms |
| title_sort | non ideal sampling in shift invariant spaces associated with quadratic phase fourier transforms |
| topic | 46E30 44A05 44A35 94A20 |
| url | http://www.sciencedirect.com/science/article/pii/S1110016822005221 |
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