TY - JOUR
T1 - Octonion short-time linear canonical transform
AU - Gao, Wen Biao
AU - Li, Bing Zhao
N1 - Publisher Copyright:
© 2022 John Wiley & Sons, Ltd.
PY - 2023/1/15
Y1 - 2023/1/15
N2 - 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.
AB - 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.
KW - octonion
KW - octonion linear canonical transform
KW - octonion short-time linear canonical transform
KW - uncertainty principle
UR - http://www.scopus.com/inward/record.url?scp=85132893841&partnerID=8YFLogxK
U2 - 10.1002/mma.8513
DO - 10.1002/mma.8513
M3 - Article
AN - SCOPUS:85132893841
SN - 0170-4214
VL - 46
SP - 321
EP - 338
JO - Mathematical Methods in the Applied Sciences
JF - Mathematical Methods in the Applied Sciences
IS - 1
ER -