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
相关论文
共 50 条
  • [21] Identical Relation of Interpolation and Decimation in the Linear Canonical Transform Domain
    Xie, Guang-Xi
    Li, Bing-Zhao
    Wang, Zhun
    ICSP: 2008 9TH INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING, VOLS 1-5, PROCEEDINGS, 2008, : 72 - +
  • [22] Linear Canonical Transform
    Ding, Jian-Jiun
    Pei, Soo-Chang
    ADVANCES IN IMAGING AND ELECTRON PHYSICS, VOL 186, 2014, 186 : 39 - 99
  • [23] Relationship between sampling and multirate filterbanks in the linear canonical transform domain
    Feng Zhang
    Ran Tao
    Yue Wang
    EURASIP Journal on Advances in Signal Processing, 2013
  • [24] Analysis of A-stationary random signals in the linear canonical transform domain
    Xu, Shuiqing
    Feng, Li
    Chai, Yi
    He, Yigang
    SIGNAL PROCESSING, 2018, 146 : 126 - 132
  • [25] Nonuniform sampling for random signals bandlimited in the linear canonical transform domain
    Huo, Haiye
    Sun, Wenchang
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2020, 31 (03) : 927 - 950
  • [26] Relationship between sampling and multirate filterbanks in the linear canonical transform domain
    Zhang, Feng
    Tao, Ran
    Wang, Yue
    EURASIP JOURNAL ON ADVANCES IN SIGNAL PROCESSING, 2013,
  • [27] The Extrapolation Theorem for Discrete Signals in the Offset Linear Canonical Transform Domain
    Xu, Shuiqing
    Feng, Li
    Chai, Yi
    Cheng, Tingli
    He, Yigang
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2022, 41 (01) : 609 - 620
  • [28] Unified approach to extrapolation of bandlimited signals in linear canonical transform domain
    Zhao, Hui
    Wang, Ruyan
    Song, Daiping
    Zhang, Tianqi
    Liu, Yuanni
    SIGNAL PROCESSING, 2014, 101 : 65 - 73
  • [29] Filter Design for Constrained Signal Reconstruction in Linear Canonical Transform Domain
    Shi, Jun
    Liu, Xiaoping
    Zhao, Yanan
    Shi, Shuo
    Sha, Xuejun
    Zhang, Qinyu
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2018, 66 (24) : 6534 - 6548
  • [30] Multichannel sampling theorem for bandpass signals in the linear canonical transform domain
    Wei, Deyun
    Li, Yuanmin
    OPTIK, 2014, 125 (14): : 3434 - 3438
12345