Octonion Offset Linear Canonical Transform

Bhat, Younis Ahmad; Sheikh, Neyaz Ahmad

doi:10.1007/s13324-022-00705-6

Cited by 3 publications

(2 citation statements)

References 16 publications

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“…Next, some papers [32,33] discussed many properties and uncertainty principles associated with the OCLCT. Moreover, many scholars [34,35] proposed different transform forms of the OCLCT. So far, the OCLCT is mainly studied regarding the integral transform of non-stationary continuous signals.…”

Section: Preliminariesmentioning

confidence: 99%

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Discrete Octonion Linear Canonical Transform: Definition and Properties

Gao

2024

Fractal Fract

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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.

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Section: Preliminariesmentioning

confidence: 99%

“…Next, some papers [32,33] discussed many properties and uncertainty principles associated with the OCLCT. Moreover, many scholars [34,35] proposed different transform forms of the OCLCT.…”

Section: Introductionmentioning

confidence: 99%

Discrete Octonion Linear Canonical Transform: Definition and Properties

Gao

2024

Fractal Fract

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Special Affine Wigner–Ville Distribution in Octonion Domains: Theory and Applications

Bhat

Sheikh

2023

Optik

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Discrete octonion linear canonical transform associated with finite-length function

Wang,

Gao

2024

Int. J. Geom. Methods Mod. Phys.

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In this paper, the discrete octonion linear canonical transform (DOCLCT) is presented. According to the definition of DOCLCT, its shift transform and modulation transform are explored. In addition, based on a new convolution operator, we obtain the convolution theorem of DOCLCT. The DOCLCT can be derived by the three-dimensional (3D) linear canonical transform. So, the fast algorithm of 3D DOCLCT is discussed. Finally, Heisenberg’s uncertainty principle associated with DOCLCT is established.

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Octonion Offset Linear Canonical Transform

Cited by 3 publications

References 16 publications

Discrete Octonion Linear Canonical Transform: Definition and Properties

Discrete Octonion Linear Canonical Transform: Definition and Properties

Special Affine Wigner–Ville Distribution in Octonion Domains: Theory and Applications

Discrete octonion linear canonical transform associated with finite-length function

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