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: | English |
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MDPI AG
2022-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/19/3502 |
| _version_ | 1797478217728131072 |
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| author | Mawardi Bahri Samsul Ariffin Abdul Karim |
| author_facet | Mawardi Bahri Samsul Ariffin Abdul Karim |
| author_sort | Mawardi Bahri |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-09T21:28:53Z |
| format | Article |
| id | doaj.art-bce79d01c29d4a00ac3d11bffaa2d78a |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T21:28:53Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-bce79d01c29d4a00ac3d11bffaa2d78a2023-11-23T21:02:34ZengMDPI AGMathematics2227-73902022-09-011019350210.3390/math10193502Novel Uncertainty Principles Concerning Linear Canonical Wavelet TransformMawardi Bahri0Samsul Ariffin Abdul Karim1Department of Mathematics, Hasanuddin University, Makassar 90245, IndonesiaSoftware Engineering Programme, Faculty of Computing and Informatics, University Malaysia Sabah, Kota Kinabalu 88400, MalaysiaThe 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.https://www.mdpi.com/2227-7390/10/19/3502linear canonical wavelet transformuncertainty principlePitt’s inequalitylogarithmic uncertainty principle |
| spellingShingle | Mawardi Bahri Samsul Ariffin Abdul Karim Novel Uncertainty Principles Concerning Linear Canonical Wavelet Transform Mathematics linear canonical wavelet transform uncertainty principle Pitt’s inequality logarithmic uncertainty principle |
| 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 | linear canonical wavelet transform uncertainty principle Pitt’s inequality logarithmic uncertainty principle |
| url | https://www.mdpi.com/2227-7390/10/19/3502 |
| work_keys_str_mv | AT mawardibahri noveluncertaintyprinciplesconcerninglinearcanonicalwavelettransform AT samsulariffinabdulkarim noveluncertaintyprinciplesconcerninglinearcanonicalwavelettransform |