A New Class of Linear Canonical Wavelet Transform
We define a new class of linear canonical wavelet transform (LCWT) and study its properties like inner product relation, reconstruction formula and also characterize its range. We obtain Donoho-Stark’s uncertainty principle for the LCWT and give a lower bound for the measure of its essential support...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Shahid Chamran University of Ahvaz
2024-01-01
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| Series: | Journal of Applied and Computational Mechanics |
| Subjects: | |
| Online Access: | https://jacm.scu.ac.ir/article_18462_aa8c0b02562fa33cd05c6a575f23e4f6.pdf |
| _version_ | 1797638818158870528 |
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| author | Bivek Gupta Amit K. Verma Carlo Cattani |
| author_facet | Bivek Gupta Amit K. Verma Carlo Cattani |
| author_sort | Bivek Gupta |
| collection | DOAJ |
| description | We define a new class of linear canonical wavelet transform (LCWT) and study its properties like inner product relation, reconstruction formula and also characterize its range. We obtain Donoho-Stark’s uncertainty principle for the LCWT and give a lower bound for the measure of its essential support. We also give the Shapiro’s mean dispersion theorem for the proposed LCWT. |
| first_indexed | 2024-03-11T13:08:50Z |
| format | Article |
| id | doaj.art-a6d654ce1b294a7f82b679ef8f630de4 |
| institution | Directory Open Access Journal |
| issn | 2383-4536 |
| language | English |
| last_indexed | 2024-03-11T13:08:50Z |
| publishDate | 2024-01-01 |
| publisher | Shahid Chamran University of Ahvaz |
| record_format | Article |
| series | Journal of Applied and Computational Mechanics |
| spelling | doaj.art-a6d654ce1b294a7f82b679ef8f630de42023-11-03T14:16:14ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362024-01-01101647910.22055/jacm.2023.44326.419618462A New Class of Linear Canonical Wavelet TransformBivek Gupta0Amit K. Verma1Carlo Cattani2Department of Mathematics, Indian Institute of Technology Patna, Patna, 801106, IndiaDepartment of Mathematics, Indian Institute of Technology Patna, Patna, 801106, IndiaEngineering School (DEIM), University of Tuscia, Largo dell’Università, 01100 Viterbo, ItalyWe define a new class of linear canonical wavelet transform (LCWT) and study its properties like inner product relation, reconstruction formula and also characterize its range. We obtain Donoho-Stark’s uncertainty principle for the LCWT and give a lower bound for the measure of its essential support. We also give the Shapiro’s mean dispersion theorem for the proposed LCWT.https://jacm.scu.ac.ir/article_18462_aa8c0b02562fa33cd05c6a575f23e4f6.pdflinear canonical transformlinear canonical wavelet transformuncertainty principleshapiro’s theorem |
| spellingShingle | Bivek Gupta Amit K. Verma Carlo Cattani A New Class of Linear Canonical Wavelet Transform Journal of Applied and Computational Mechanics linear canonical transform linear canonical wavelet transform uncertainty principle shapiro’s theorem |
| title | A New Class of Linear Canonical Wavelet Transform |
| title_full | A New Class of Linear Canonical Wavelet Transform |
| title_fullStr | A New Class of Linear Canonical Wavelet Transform |
| title_full_unstemmed | A New Class of Linear Canonical Wavelet Transform |
| title_short | A New Class of Linear Canonical Wavelet Transform |
| title_sort | new class of linear canonical wavelet transform |
| topic | linear canonical transform linear canonical wavelet transform uncertainty principle shapiro’s theorem |
| url | https://jacm.scu.ac.ir/article_18462_aa8c0b02562fa33cd05c6a575f23e4f6.pdf |
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