New Sampling Formulae Associated with the Linear Canonical Transform

被引：0
|
作者：
Li, Bing-zhao [1 ,2 ]
Tao, Ran [1 ,2 ]
Wang, Yue [1 ,2 ]
机构：
[1] Beijing Inst Technol, Dept Elect Engn, Beijing 100081, Peoples R China
[2] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
来源：
2006 8TH INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING, VOLS 1-4 | 2006年
关键词：
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：
Linear canonical transform play an important role in many fields of optics and signal processing society. Well known transforms in these fields such as the Fourier transform, the fractional Fourier transform, and the Fresnel transform can be looked at as special cases of the linear canonical transform. In this paper we obtain new sampling formulae for reconstructing signals that are band-limited or time-limited in the linear canonical transform sense. In the new sampling formulae; we use samples from both the signal and its Hilbert transform, but each taken at half the Nyquist rate of linear canonical transform domain.
引用
收藏
页码：37 / +
页数：2
相关论文
共 50 条
  • [31] 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)
  • [32] 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
  • [33] On Bandlimited Signals Associated With Linear Canonical Transform
    Zhao, Hui
    Ran, Qi-Wen
    Ma, Jing
    Tan, Li-Ying
    [J]. IEEE SIGNAL PROCESSING LETTERS, 2009, 16 (05) : 343 - 345
  • [34] The ambiguity function associated with the linear canonical transform
    Che, Tian-Wen
    Li, Bing-Zhao
    Xu, Tian-Zhou
    [J]. EURASIP JOURNAL ON ADVANCES IN SIGNAL PROCESSING, 2012,
  • [35] The ambiguity function associated with the linear canonical transform
    Che Tian-Wen
    Li Bing-Zhao
    Xu Tian-Zhou
    [J]. EURASIP Journal on Advances in Signal Processing, 2012
  • [36] Zak transform and uncertainty principles associated with the linear canonical transform
    Zhang, Qingyue
    [J]. IET SIGNAL PROCESSING, 2016, 10 (07) : 791 - 797
  • [37] Truncation error estimates for two-dimensional sampling series associated with the linear canonical transform
    Huo, Haiye
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (13) : 10252 - 10266
  • [38] Convolution, correlation, and sampling theorems for the offset linear canonical transform
    Xiang, Qiang
    Qin, KaiYu
    [J]. SIGNAL IMAGE AND VIDEO PROCESSING, 2014, 8 (03) : 433 - 442
  • [39] Sampling Rate Conversion in the Discrete Linear Canonical Transform Domain
    Zhuo, Z.
    Zhong, N.
    Zhan, X.
    [J]. INTERNATIONAL JOURNAL OF ENGINEERING, 2016, 29 (05): : 615 - 620
  • [40] Convolution and Multichannel Sampling for the Offset Linear Canonical Transform and Their Applications
    Wei, Deyun
    Li, Yuan-Min
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2019, 67 (23) : 6009 - 6024
12345