A Version of Uncertainty Principle for Quaternion Linear Canonical Transform
In recent years, the two-dimensional (2D) quaternion Fourier and quaternion linear canonical transforms have been the focus of many research papers. In the present paper, based on the relationship between the quaternion Fourier transform (QFT) and the quaternion linear canonical transform (QLCT), we...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2018/8732457 |
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| _version_ | 1832549048873123840 |
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| author | Mawardi Bahri Resnawati Selvy Musdalifah |
| author_facet | Mawardi Bahri Resnawati Selvy Musdalifah |
| author_sort | Mawardi Bahri |
| collection | DOAJ |
| description | In recent years, the two-dimensional (2D) quaternion Fourier and quaternion linear canonical transforms have been the focus of many research papers. In the present paper, based on the relationship between the quaternion Fourier transform (QFT) and the quaternion linear canonical transform (QLCT), we derive a version of the uncertainty principle associated with the QLCT. We also discuss the generalization of the Hausdorff-Young inequality in the QLCT domain. |
| format | Article |
| id | doaj-art-95b28c303f574d11b77c7cd0776ca9ff |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-95b28c303f574d11b77c7cd0776ca9ff2025-02-03T06:12:20ZengWileyAbstract and Applied Analysis1085-33751687-04092018-01-01201810.1155/2018/87324578732457A Version of Uncertainty Principle for Quaternion Linear Canonical TransformMawardi Bahri0Resnawati1Selvy Musdalifah2Department of Mathematics, Hasanuddin University, Makassar 90245, IndonesiaDepartment of Mathematics, Tadulako University, Palu 94148, IndonesiaDepartment of Mathematics, Tadulako University, Palu 94148, IndonesiaIn recent years, the two-dimensional (2D) quaternion Fourier and quaternion linear canonical transforms have been the focus of many research papers. In the present paper, based on the relationship between the quaternion Fourier transform (QFT) and the quaternion linear canonical transform (QLCT), we derive a version of the uncertainty principle associated with the QLCT. We also discuss the generalization of the Hausdorff-Young inequality in the QLCT domain.http://dx.doi.org/10.1155/2018/8732457 |
| spellingShingle | Mawardi Bahri Resnawati Selvy Musdalifah A Version of Uncertainty Principle for Quaternion Linear Canonical Transform Abstract and Applied Analysis |
| title | A Version of Uncertainty Principle for Quaternion Linear Canonical Transform |
| title_full | A Version of Uncertainty Principle for Quaternion Linear Canonical Transform |
| title_fullStr | A Version of Uncertainty Principle for Quaternion Linear Canonical Transform |
| title_full_unstemmed | A Version of Uncertainty Principle for Quaternion Linear Canonical Transform |
| title_short | A Version of Uncertainty Principle for Quaternion Linear Canonical Transform |
| title_sort | version of uncertainty principle for quaternion linear canonical transform |
| url | http://dx.doi.org/10.1155/2018/8732457 |
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