Discrete octonion linear canonical transform associated with finite-length function

被引：0

作者：

Wang, Peng-Yu ^{[1
]}

Gao, Wen-Biao ^{[1
]}

机构：

[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2024年 / 21卷 / 13期

基金：

中国国家自然科学基金;

关键词：

Linear canonical transform; discrete octonion Fourier transform; octonion linear canonical transform; convolution theorem; uncertainty principle; FOURIER-TRANSFORM; COMPLEX;

D O I：

10.1142/S0219887824502207

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：19

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