Relationship between the ambiguity function coordinate transformations and the fractional Fourier transform

被引：0
|
作者：
Stankovic, L [1 ]
Djurovic, I [1 ]
机构：
[1] Elektrotehn Fak, YU-81000 Podgorica, Montenegro, Yugoslavia
来源：
ANNALS OF TELECOMMUNICATIONS | 1998年 / 53卷 / 7-8期
关键词：
Fourier transform; fractional number; mathematical transformation; ambiguity function; frequency time representation; signal analysis;
D O I：
暂无
中图分类号：
TN [电子技术、通信技术];
学科分类号：
0809 ;
摘要：
It has been shown that the fractional Fourier transform, recently very intensively investigated in mathematics, quantum mechanics, optics and signal processing, can be obtained as a special case of the earlier introduced linear coordinate transformations of the ambiguity function or Wigner distribution. Some applications of the generalized fractional transform on the time-frequency analysis are presented.
引用
收藏
页码：316 / 319
页数：4
相关论文
共 50 条
  • [31] The scale of the Fourier transform: a point of view of the fractional Fourier transform
    Jimenez, C. J.
    Vilardy, J. M.
    Salinas, S.
    Mattos, L.
    Torres, C.
    VIII INTERNATIONAL CONGRESS OF ENGINEERING PHYSICS, 2017, 792
  • [32] On fractional Fourier transform moments
    Alieva, T
    Bastiaans, MJ
    IEEE SIGNAL PROCESSING LETTERS, 2000, 7 (11) : 320 - 323
  • [33] Fractional finite Fourier transform
    Khare, K
    George, N
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2004, 21 (07) : 1179 - 1185
  • [34] Interpolating between periodicity and discreteness through the fractional fourier transform
    Ozaktas, Haldun M.
    Sumbul, Uygar
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2006, 54 (11) : 4233 - 4243
  • [35] Discrete fractional Fourier transform
    Pei, SC
    Yeh, MH
    ISCAS 96: 1996 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS - CIRCUITS AND SYSTEMS CONNECTING THE WORLD, VOL 2, 1996, : 536 - 539
  • [36] THE GENERALIZED FRACTIONAL FOURIER TRANSFORM
    Pei, Soo-Chang
    Liu, Chun-Lin
    Lai, Yun-Chiu
    2012 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP), 2012, : 3705 - 3708
  • [37] Deep Fractional Fourier Transform
    Yu, Hu
    Huang, Jie
    Li, Lingzhi
    Zhou, Man
    Zhao, Feng
    ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 36 (NEURIPS 2023), 2023,
  • [38] Trainable Fractional Fourier Transform
    Koc, Emirhan
    Alikasifoglu, Tuna
    Aras, Arda Can
    Koc, Aykut
    IEEE Signal Processing Letters, 2024, 31 : 751 - 755
  • [39] The Fractional Fourier Transform on Graphs
    Wang, Yi-qian
    Li, Bing-zhao
    Cheng, Qi-yuan
    2017 ASIA-PACIFIC SIGNAL AND INFORMATION PROCESSING ASSOCIATION ANNUAL SUMMIT AND CONFERENCE (APSIPA ASC 2017), 2017, : 105 - 110
  • [40] Random fractional Fourier transform
    Liu, Zhengjun
    Liu, Shutian
    OPTICS LETTERS, 2007, 32 (15) : 2088 - 2090
12345