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- Title
Discrete Octonion Linear Canonical Transform: Definition and Properties.
- Authors
Gao, Wen-Biao
- Abstract
In this paper, the discrete octonion linear canonical transform (DOCLCT) is defined. According to the definition of the DOCLCT, some properties associated with the DOCLCT are explored, such as linearity, scaling, boundedness, Plancherel theorem, inversion transform and shift transform. Then, the relationship between the DOCLCT and the three-dimensional (3-D) discrete linear canonical transform (DLCT) is obtained. Moreover, based on a new convolution operator, we derive the convolution theorem of the DOCLCT. Finally, the correlation theorem of the DOCLCT is established.
- Subjects
CAYLEY numbers (Algebra); INVERSIONS (Geometry); DISCRETE Fourier transforms; DEFINITIONS
- Publication
Fractal & Fractional, 2024, Vol 8, Issue 3, p154
- ISSN
2504-3110
- Publication type
Article
- DOI
10.3390/fractalfract8030154