Discrete Windowed Linear Canonical Transform

被引:0
|
作者
Zhang, Qingyue [1 ]
机构
[1] Tianjin Univ Technol, Coll Sci, Tianjin, Peoples R China
关键词
Linear canonical transform; discrete windowed linear canonical transform; frame; Riesz basis; UNCERTAINTY PRINCIPLES; OPTICS; DOMAINS; SIGNALS;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper, we study discrete windowed linear canonical transform. we first provide several necessary conditions for discrete windowed linear canonical transform being a frame. Then we give a sufficient condition for discrete windowed linear canonical transform being a frame. Finally, we derive a necessary and sufficient condition for discrete windowed linear canonical transform being a Riesz basis.
引用
收藏
页数:5
相关论文
共 50 条
  • [1] Inversion formula for the windowed linear canonical transform
    Han, Yaoyao
    Sun, Wenchang
    [J]. APPLICABLE ANALYSIS, 2022, 101 (14) : 5156 - 5170
  • [2] Convolution theorem for the windowed linear canonical transform
    Gao, Wen-Biao
    [J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2024,
  • [3] Windowed linear canonical transform and its applications
    Kou, Kit-Ian
    Xu, Rui-Hui
    [J]. SIGNAL PROCESSING, 2012, 92 (01) : 179 - 188
  • [4] Windowed linear canonical transform: its relation to windowed Fourier transform and uncertainty principles
    Bahri, Mawardi
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
  • [5] Windowed linear canonical transform: its relation to windowed Fourier transform and uncertainty principles
    Mawardi Bahri
    [J]. Journal of Inequalities and Applications, 2022
  • [6] Inequalities for the Windowed Linear Canonical Transform of Complex Functions
    Li, Zhen-Wei
    Gao, Wen-Biao
    [J]. AXIOMS, 2023, 12 (06)
  • [7] Non-separable windowed linear canonical transform
    Shah, Firdous A.
    Qadri, Huzaifa L.
    Lone, Waseem Z.
    [J]. OPTIK, 2022, 251
  • [8] Inversion of the windowed linear canonical transform with Riemann sums
    Han, Yaoyao
    Sun, Wenchang
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (11) : 6717 - 6738
  • [9] Uncertainty principles for the windowed offset linear canonical transform
    Gao, Wen-Biao
    Li, Bing-Zhao
    [J]. INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2022, 20 (01)
  • [10] Novel windowed linear canonical transform: Definition, properties and application
    Zhang, Yanna
    Guo, Yong
    Mao, Wentao
    [J]. DIGITAL SIGNAL PROCESSING, 2022, 130