Octonion short-time linear canonical transform |
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| Authors: | Wen-Biao Gao Bing-Zhao Li |
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| Institution: | 1. School of Mathematical Science, Yangzhou University, Yangzhou, China
School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China;2. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China |
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| Abstract: | We investigate the octonion short-time linear canonical transform (OCSTLCT) in this paper. First, we propose the new definition of the OCSTLCT, and then several important properties of newly defined OCSTLCT, such as bounded, shift, modulation, time-frequency shift, inversion formula, and orthogonality relation, are derived based on the spectral representation of the octonion linear canonical transform (OCLCT). Second, by the Heisenberg uncertainty principle for the OCLCT and the orthogonality relation property for the OCSTLCT, the Heisenberg uncertainty principle for the OCSTLCT is established. Finally, we give an example of the OCSTLCT. |
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| Keywords: | octonion octonion linear canonical transform octonion short-time linear canonical transform uncertainty principle |
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