Sampling Analysis in Weighted Fractional Fourier Transform Domain

被引:5
|
作者
Ran, Qi-Wen [1 ]
Zhao, Hui [1 ]
Ge, Gui-Xia [1 ]
Ma, Jing [1 ]
Tan, Li-Ying [1 ]
机构
[1] Harbin Inst Technol, Natl Key Lab Tunable Laser Technol, Harbin 150006, Peoples R China
关键词
SHANNON; THEOREM;
D O I
10.1109/CSO.2009.303
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We propose a new method for analysis of the sampling and reconstruction conditions of signals by use of the weighted fractional Fourier transform (WFRFT). It is shown that the WFRFT domain may provide a novel understanding of sampling process. The proposed sampling theorem generalizes classical Shannon sampling theorem and Fourier series expansion, and provides a full-reconstruction procedure of certain signals that are not band-limited in the traditional Fourier sense. An orthogonal sampling basis for the class of band-limited signals in the sense of WFRFT is also given. Experimental results are proposed to verify the accuracy and effectiveness of the obtained results.
引用
收藏
页码:878 / 881
页数:4
相关论文
共 50 条
  • [41] Caputo-Based Fractional Derivative in Fractional Fourier Transform Domain
    Singh, Kulbir
    Saxena, Rajiv
    Kumar, Sanjay
    [J]. IEEE JOURNAL ON EMERGING AND SELECTED TOPICS IN CIRCUITS AND SYSTEMS, 2013, 3 (03) : 330 - 337
  • [42] Digital computation of the weighted-type fractional Fourier transform
    MEI Lin
    ZHANG QinYu
    SHA XueJun
    ZHANG NaiTong
    [J]. Science China(Information Sciences), 2013, 56 (07) : 85 - 96
  • [43] Implementation of Weighted Summation Type Fractional Fourier Transform on FPGA
    Zou, Qiming
    Li, Longlong
    Huang, Qian
    Wang, Fei
    [J]. SEVENTH INTERNATIONAL CONFERENCE ON DIGITAL IMAGE PROCESSING (ICDIP 2015), 2015, 9631
  • [44] The Weighted Fractional Fourier Transform and Its Application in Image Encryption
    Zhao, Tieyu
    Ran, Qiwen
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2019, 2019
  • [45] PAPR Reduction in OTFS Systems Using Multi Weighted Fractional Fourier Transform Analysis
    Ben Salah, Fatma
    Khlifi, Abdelhakim
    Rjili, Marwa
    Chibani, Belgacem
    [J]. 2024 16TH INTERNATIONAL CONFERENCE ON HUMAN SYSTEM INTERACTION, HSI 2024, 2024,
  • [46] Digital computation of the weighted-type fractional Fourier transform
    Mei Lin
    Zhang QinYu
    Sha XueJun
    Zhang NaiTong
    [J]. SCIENCE CHINA-INFORMATION SCIENCES, 2013, 56 (07) : 1 - 12
  • [47] On function spaces with fractional Fourier transform in weighted Lebesgue spaces
    Toksoy, Erdem
    Sandikci, Ayse
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [48] On function spaces with fractional Fourier transform in weighted Lebesgue spaces
    Erdem Toksoy
    Ayşe Sandıkçı
    [J]. Journal of Inequalities and Applications, 2015
  • [49] Discussion on Weighted Fractional Fourier Transform and Its Extended Definitions
    Zhao, Tieyu
    Chi, Yingying
    [J]. FRACTAL AND FRACTIONAL, 2024, 8 (08)
  • [50] Secure communication of IRS based on weighted fractional Fourier transform
    Li, Shengfeng
    Yang, Xin
    Wang, Ling
    [J]. Huazhong Keji Daxue Xuebao (Ziran Kexue Ban)/Journal of Huazhong University of Science and Technology (Natural Science Edition), 2023, 51 (03): : 25 - 30