The Weyl correspondence in the linear canonical transform domain

被引：0
作者：
Kumar, Amit [1 ]
Prasad, Akhilesh [1 ]
Jain, Pankaj [2 ]
机构：
[1] Indian Inst Technol, Indian Sch Mines, Dept Math & Comp, Dhanbad 826004, Jharkhand, India
[2] South Asian Univ, Dept Math, New Delhi 110023, India
来源：
FILOMAT | 2023年 / 37卷 / 22期
关键词：
Linear canonical transform; Weyl transform; Wigner-Ville distribution; Linear canonical-Wigner transform;
D O I：
10.2298/FIL2322431K
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main objective of the paper is to generalize and enrich the Weyl transform by introducing the Weyl correspondence in the linear canonical transform (LCT) domain. In this paper, we propose the linear canonical-Wigner transform in harmonic analysis of phase space along with the admissible Wigner-Ville distribution (WVD) and Weyl transform in the LCT domain and discuss some useful results. Further we establish the relationship between the Wigner-Ville distribution and the Weyl transform in the LCT domain.
引用
收藏
页码：7431 / 7444
页数：14
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