Fractional Fourier transform of bandlimited periodic signals and its sampling theorems

被引：17
|
作者：
Sharma, KK [1 ]
Joshi, SD [1 ]
机构：
[1] Indian Inst Technol, Dept Elect Engn, New Delhi, India
来源：
OPTICS COMMUNICATIONS | 2005年 / 256卷 / 4-6期
关键词：
fractional Fourier transform; periodic signals; sampling theorems;
D O I：
10.1016/j.optcom.2005.07.003
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this correspondence, some features of the fractional Fourier transform (FRFT) of the bandlimited periodic signals are discussed. Two sampling relations in the context of FRFT domain bandlimited, periodic signals are also presented. More specifically, it is shown that only 2K + 1 coefficients are sufficient to reconstruct any FRFT domain bandlimited periodic signal, where K is the order of the highest nonzero harmonic component in the particular FRFT domain in which the signal is bandlimited. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：272 / 278
页数：7
相关论文
共 50 条
  • [21] SAMPLING BANDLIMITED PERIODIC SIGNALS - AN APPLICATION OF THE DFT
    BROWN, JL
    [J]. IEEE TRANSACTIONS ON EDUCATION, 1980, 23 (04) : 205 - 206
  • [22] Sampling and Distortion Tradeoffs for Bandlimited Periodic Signals
    Mohammadi, Elaheh
    Marvasti, Farokh
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2018, 64 (03) : 1706 - 1724
  • [23] Sampling and reconstruction of multi-dimensional bandlimited signals in the special affine Fourier transform domain
    Gao, Ni
    Jiang, Yingchun
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (07) : 6060 - 6078
  • [24] Sampling of bandlimited signals in the linear canonical transform domain
    Deyun Wei
    Qiwen Ran
    Yuanmin Li
    [J]. Signal, Image and Video Processing, 2013, 7 : 553 - 558
  • [25] Sampling expansion for irregularly sampled signals in fractional Fourier transform domain
    Liu, Xiaoping
    Shi, Jun
    Xiang, Wei
    Zhang, Qinyu
    Zhang, Naitong
    [J]. DIGITAL SIGNAL PROCESSING, 2014, 34 : 74 - 81
  • [26] Generalized Sampling Theorem for Bandpass Signals Associated With Fractional Fourier Transform
    Shi, Jun
    Sha, Xuejun
    Zhang, Qinyu
    Zhang, Naitong
    [J]. 2011 6TH INTERNATIONAL ICST CONFERENCE ON COMMUNICATIONS AND NETWORKING IN CHINA (CHINACOM), 2011, : 659 - 662
  • [27] Sampling of bandlimited signals in the linear canonical transform domain
    Wei, Deyun
    Ran, Qiwen
    Li, Yuanmin
    [J]. SIGNAL IMAGE AND VIDEO PROCESSING, 2013, 7 (03) : 553 - 558
  • [28] Periodic non uniform sampling of non bandlimited signals
    Tuqan, Jamal
    [J]. 2006 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING, VOLS 1-13, 2006, : 2835 - 2838
  • [29] A multichannel compressed sampling method for fractional bandlimited signals
    Zhao, Haoran
    Zhang, Jingchao
    Qiao, Liyan
    Chen, YangQuan
    [J]. SIGNAL PROCESSING, 2017, 134 : 139 - 148
  • [30] Sampling and sampling rate conversion of band limited signals in the fractional Fourier transform domain
    Tao, Ran
    Deng, Bing
    Zhang, Wei-Qiang
    Wang, Yue
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2008, 56 (01) : 158 - 171
12345