Novel uncertainty principles concerning linear canonical wavelet transform
The linear canonical wavelet transform is a nontrivial generalization of the classical wavelet transform in the context of the linear canonical transform. In this article, we first present a direct interaction between the linear canonical transform and Fourier transform to obtain the generalization...
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| Format: | Article |
| Language: | en |
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Multidisciplinary Digital Publishing Institute (MDPI)
2022
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| Online Access: | https://eprints.ums.edu.my/id/eprint/42507/1/FULL%20TEXT.pdf https://eprints.ums.edu.my/id/eprint/42507/ https://doi.org/10.3390/math10193502 |
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| _version_ | 1831796770131148800 |
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| author | Mawardi Bahri Samsul Ariffin Abdul Karim |
| author_facet | Mawardi Bahri Samsul Ariffin Abdul Karim |
| author_sort | Mawardi Bahri |
| building | UMS Library |
| collection | Institutional Repository |
| content_provider | Universiti Malaysia Sabah |
| content_source | UMS Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | The linear canonical wavelet transform is a nontrivial generalization of the classical wavelet transform in the context of the linear canonical transform. In this article, we first present a direct interaction between the linear canonical transform and Fourier transform to obtain the generalization of the uncertainty principles related to the linear canonical transform. We develop these principles for constructing some uncertainty principles concerning the linear canonical wavelet transform. |
| format | Article |
| id | my.ums.eprints-42507 |
| institution | Universiti Malaysia Sabah |
| language | en |
| publishDate | 2022 |
| publisher | Multidisciplinary Digital Publishing Institute (MDPI) |
| record_format | eprints |
| spelling | my.ums.eprints-425072024-12-31T03:22:30Z https://eprints.ums.edu.my/id/eprint/42507/ Novel uncertainty principles concerning linear canonical wavelet transform Mawardi Bahri Samsul Ariffin Abdul Karim QA1-43 General QA75.5-76.95 Electronic computers. Computer science The linear canonical wavelet transform is a nontrivial generalization of the classical wavelet transform in the context of the linear canonical transform. In this article, we first present a direct interaction between the linear canonical transform and Fourier transform to obtain the generalization of the uncertainty principles related to the linear canonical transform. We develop these principles for constructing some uncertainty principles concerning the linear canonical wavelet transform. Multidisciplinary Digital Publishing Institute (MDPI) 2022 Article NonPeerReviewed text en https://eprints.ums.edu.my/id/eprint/42507/1/FULL%20TEXT.pdf Mawardi Bahri and Samsul Ariffin Abdul Karim (2022) Novel uncertainty principles concerning linear canonical wavelet transform. Mathematics, 10. pp. 1-17. https://doi.org/10.3390/math10193502 |
| spellingShingle | QA1-43 General QA75.5-76.95 Electronic computers. Computer science Mawardi Bahri Samsul Ariffin Abdul Karim Novel uncertainty principles concerning linear canonical wavelet transform |
| title | Novel uncertainty principles concerning linear canonical wavelet transform |
| title_full | Novel uncertainty principles concerning linear canonical wavelet transform |
| title_fullStr | Novel uncertainty principles concerning linear canonical wavelet transform |
| title_full_unstemmed | Novel uncertainty principles concerning linear canonical wavelet transform |
| title_short | Novel uncertainty principles concerning linear canonical wavelet transform |
| title_sort | novel uncertainty principles concerning linear canonical wavelet transform |
| topic | QA1-43 General QA75.5-76.95 Electronic computers. Computer science |
| url | https://eprints.ums.edu.my/id/eprint/42507/1/FULL%20TEXT.pdf https://eprints.ums.edu.my/id/eprint/42507/ https://doi.org/10.3390/math10193502 |
| url_provider | http://eprints.ums.edu.my/ |