Wigner-Ville distribution function in the framework of linear canonical transform

被引:0
|
作者
Amit Kumar
Akhilesh Prasad
机构
[1] Indian Institute of Technology (Indian School of Mines),Department of Mathematics & Computing
关键词
Linear canonical transform; Weyl transform; Wigner-Ville distribution function; Linear canonical-Wigner transform; 42A38; 43A32; 34B20; 81S30;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we define the Wigner-Ville distribution function (WVDF) and corresponding Weyl operator in the linear canonical transform (LCT) domain. Further, we examine Moyle identity for the WVDF and investigate some of its properties. Moreover, we discuss the boundedness and compactness of Weyl operator on the Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^{p}$$\end{document} space in the LCT domain.
引用
收藏
相关论文
共 50 条
  • [1] Wigner-Ville distribution function in the framework of linear canonical transform
    Kumar, Amit
    Prasad, Akhilesh
    [J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2022, 13 (03)
  • [2] Wigner-Ville Distribution Associated with the Linear Canonical Transform
    Bai, Rui-Feng
    Li, Bing-Zhao
    Cheng, Qi-Yuan
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [3] Unified Wigner-Ville distribution and ambiguity function in the linear canonical transform domain
    Zhang, Zhi-Chao
    [J]. SIGNAL PROCESSING, 2015, 114 : 45 - 60
  • [4] On a new Wigner-Ville distribution associated with linear canonical transform
    Hong-Cai Xin
    Bing-Zhao Li
    [J]. EURASIP Journal on Advances in Signal Processing, 2021
  • [5] On a new Wigner-Ville distribution associated with linear canonical transform
    Xin, Hong-Cai
    Li, Bing-Zhao
    [J]. EURASIP JOURNAL ON ADVANCES IN SIGNAL PROCESSING, 2021, 2021 (01)
  • [6] Wigner-Ville distribution and ambiguity function associated with the quaternion offset linear canonical transform
    Bhat, Mohammad Younus
    Almanjahie, Ibrahim M.
    Dar, Aamir H.
    Dar, Javid G.
    [J]. DEMONSTRATIO MATHEMATICA, 2022, 55 (01) : 786 - 797
  • [7] The Wigner-Ville Distribution Based on the Offset Linear Canonical Transform Domain
    Urynbassarova, Didar
    Urynbassarova, Altyn
    Al-Hussam, Ebrahim
    [J]. PROCEEDINGS OF THE 2017 2ND INTERNATIONAL CONFERENCE ON MODELLING, SIMULATION AND APPLIED MATHEMATICS (MSAM2017), 2017, 132 : 139 - 142
  • [8] The Wigner-Ville Distribution Associated with the Quaternion Offset Linear Canonical Transform
    El Kassimi, M.
    El Haoui, Y.
    Fahlaoui, S.
    [J]. ANALYSIS MATHEMATICA, 2019, 45 (04) : 787 - 802
  • [9] The Wigner-Ville Distribution Associated with the Quaternion Offset Linear Canonical Transform
    M. El Kassimi
    Y. El Haoui
    S. Fahlaoui
    [J]. Analysis Mathematica, 2019, 45 : 787 - 802
  • [10] Convolution and Correlation Theorems for Wigner-Ville Distribution Associated with Linear Canonical Transform
    Bahri, Mawardi
    Ashino, Ryuichi
    [J]. 2015 12TH INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY - NEW GENERATIONS, 2015, : 341 - 346