Some essential relations for the quaternion quadratic-phase fourier transform.
Motivated by the fact that the quaternion Fourier transform is a powerful tool in quaternion signal analysis, here, we study the quaternion quadratic-phase Fourier transform, which is a generalized version of the quaternion Fourier transform. We first give a definition of the quaternion quadratic-ph...
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| 格式: | Article |
| 語言: | English English |
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MDPI
2023
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| 在線閱讀: | https://eprints.ums.edu.my/id/eprint/36024/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/36024/2/FULL%20TEXT.pdf https://eprints.ums.edu.my/id/eprint/36024/ https://doi.org/10.3390/math11051235 |
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| 總結: | Motivated by the fact that the quaternion Fourier transform is a powerful tool in quaternion signal analysis, here, we study the quaternion quadratic-phase Fourier transform, which is a generalized version of the quaternion Fourier transform. We first give a definition of the quaternion quadratic-phase Fourier transform. We derive in detail some essential properties related to this generalized transformation. We explore how the quaternion quadratic-phase Fourier transform is related to the quaternion Fourier transform. It is shown that this relation allows us to obtain several versions of uncertainty principles concerning the quaternion quadratic-phase Fourier transform. |
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