Interpolation of discrete chirp-periodic signals based on fractional Fourier transform

被引:0
|
作者
Li, Bing-zhao [1 ,2 ]
Tao, Ran [1 ]
Wang, Yue [1 ]
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
基金
中国国家自然科学基金;
关键词
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The sampling theorem associated with the fractional Fourier transform can be looked as the convolution of the sinc kernel with infinite sequence of signal points and chirp signal modulations. But in most practical applications we only have finite number of samples, which makes a perfect reconstruction of the original signal impossible. To solve this problem, we obtain a new formula for perfect reconstruction of discrete chirp-periodic signal points based on the fractional Fourier transform in this paper. The method is equivalent to trigonometrically interpolation by fractional Fourier series expansion and can be looked as a generalization of the classical results.
引用
收藏
页码:2 / +
页数:2
相关论文
共 50 条
  • [1] The centered discrete fractional Fourier transform and linear chirp signals
    Vargas-Rubio, JG
    Santhanam, B
    IEEE 11TH DIGITAL SIGNAL PROCESSING WORKSHOP & 2ND IEEE SIGNAL PROCESSING EDUCATION WORKSHOP, 2004, : 163 - 167
  • [2] Parameter estimation of chirp signals based on fractional Fourier transform
    Zhang, Hong-Xin
    Liu, Hong-Da
    Chen, Si
    Zhang, Ying
    Wang, Xu-Ying
    Journal of China Universities of Posts and Telecommunications, 2013, 20 (SUPPL -2): : 95 - 100
  • [3] A Parameter Estimation Method for Linear Amplitude Modulated Chirp Signals Based on Discrete Fractional Fourier Transform
    Sajib, Saurav Zaman Khan
    Mostayed, Ahmed
    PROCEEDINGS OF ICECE 2008, VOLS 1 AND 2, 2008, : 380 - +
  • [4] Novel Parameter Estimation Method for Chirp Signals Using Bowtie Chirplet and Discrete Fractional Fourier Transform
    Mostayed, Ahmed
    Kim, Sikyung
    Sajib, Saurav Zaman Khan
    2008 SECOND INTERNATIONAL CONFERENCE ON FUTURE GENERATION COMMUNICATION AND NETWORKING SYMPOSIA, VOLS 1-5, PROCEEDINGS, 2008, : 190 - +
  • [5] The Use of Fractional Fourier Transform for the Extraction of Overlapped Harmonic Chirp Signals
    Arif, Muhammad
    Shaikh, Ayazahmed
    Qureshi, Imran Ali
    MEHRAN UNIVERSITY RESEARCH JOURNAL OF ENGINEERING AND TECHNOLOGY, 2014, 33 (02) : 189 - 198
  • [6] PULSE COMPRESSION OF HARMONIC CHIRP SIGNALS USING THE FRACTIONAL FOURIER TRANSFORM
    Arif, M.
    Cowell, D. M. J.
    Freear, S.
    ULTRASOUND IN MEDICINE AND BIOLOGY, 2010, 36 (06): : 949 - 956
  • [7] Investigation on Estimator of Chirp Rate and Initial Frequency of LFM Signals Based on Modified Discrete Chirp Fourier Transform
    Jun Song
    Yihan Xu
    Yunfei Liu
    Yingnan Zhang
    Circuits, Systems, and Signal Processing, 2019, 38 : 5861 - 5882
  • [8] Investigation on Estimator of Chirp Rate and Initial Frequency of LFM Signals Based on Modified Discrete Chirp Fourier Transform
    Song, Jun
    Xu, Yihan
    Liu, Yunfei
    Zhang, Yingnan
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2019, 38 (12) : 5861 - 5882
  • [9] Frequency estimation of chirp signals based on fractional fourier transform combined with Otsu's method
    Liu, Xuelian
    Xiao, Bo
    Wang, Chunyang
    OPTIK, 2021, 240
  • [10] On a Pseudo-Subspace Framework for Discrete Fractional Fourier Transform Based Chirp Parameter Estimation
    Santhanam, Balu
    Hayat, Majeed
    2011 IEEE DIGITAL SIGNAL PROCESSING WORKSHOP AND IEEE SIGNAL PROCESSING EDUCATION WORKSHOP (DSP/SPE), 2011, : 360 - 363