On Two-Dimensional Quaternion Wigner-Ville Distribution
We present the two-dimensional quaternion Wigner-Ville distribution (QWVD). The transform is constructed by substituting the Fourier transform kernel with the quaternion Fourier transform (QFT) kernel in the classical Wigner-Ville distribution definition. Based on the properties of quaternions and t...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/139471 |
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| author | Mawardi Bahri |
| author_facet | Mawardi Bahri |
| author_sort | Mawardi Bahri |
| collection | DOAJ |
| description | We present the two-dimensional quaternion Wigner-Ville distribution (QWVD). The transform is constructed by substituting the Fourier transform kernel with the quaternion Fourier transform (QFT) kernel in the classical Wigner-Ville distribution definition. Based on the properties of quaternions and the QFT kernel we obtain three types of the QWVD. We discuss some useful properties of various definitions for the QWVD, which are extensions of the classical Wigner-Ville distribution properties. |
| format | Article |
| id | doaj-art-90b7e951bf5d4a4db7491994a9ebf00d |
| institution | DOAJ |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-90b7e951bf5d4a4db7491994a9ebf00d2025-08-20T03:20:32ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/139471139471On Two-Dimensional Quaternion Wigner-Ville DistributionMawardi Bahri0Department of Mathematics, Hasanuddin University, Makassar 90245, IndonesiaWe present the two-dimensional quaternion Wigner-Ville distribution (QWVD). The transform is constructed by substituting the Fourier transform kernel with the quaternion Fourier transform (QFT) kernel in the classical Wigner-Ville distribution definition. Based on the properties of quaternions and the QFT kernel we obtain three types of the QWVD. We discuss some useful properties of various definitions for the QWVD, which are extensions of the classical Wigner-Ville distribution properties.http://dx.doi.org/10.1155/2014/139471 |
| spellingShingle | Mawardi Bahri On Two-Dimensional Quaternion Wigner-Ville Distribution Journal of Applied Mathematics |
| title | On Two-Dimensional Quaternion Wigner-Ville Distribution |
| title_full | On Two-Dimensional Quaternion Wigner-Ville Distribution |
| title_fullStr | On Two-Dimensional Quaternion Wigner-Ville Distribution |
| title_full_unstemmed | On Two-Dimensional Quaternion Wigner-Ville Distribution |
| title_short | On Two-Dimensional Quaternion Wigner-Ville Distribution |
| title_sort | on two dimensional quaternion wigner ville distribution |
| url | http://dx.doi.org/10.1155/2014/139471 |
| work_keys_str_mv | AT mawardibahri ontwodimensionalquaternionwignervilledistribution |