Sampling at Twice the Nyquist Rate in Two Frequency Bins Guarantees Uniqueness in Gabor Phase Retrieval

被引：0
|
作者：
Matthias Wellershoff
机构：
[1] University of Maryland,Department of Mathematics
来源：
Journal of Fourier Analysis and Applications | 2023年 / 29卷
关键词：
Phase retrieval; Gabor transform; Nyquist–Shannon sampling; Hadamard factorisation theorem; Müntz–Szász type result; 94A12; 42B10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that bandlimited signals can be uniquely recovered (up to a constant global phase factor) from Gabor transform magnitudes sampled at twice the Nyquist rate in two frequency bins.
引用
收藏
相关论文
共 46 条
  • [1] Sampling at Twice the Nyquist Rate in Two Frequency Bins Guarantees Uniqueness in Gabor Phase Retrieval
    Wellershoff, Matthias
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2023, 29 (01)
  • [2] Sparse Phase Retrieval: Uniqueness Guarantees and Recovery Algorithms
    Jaganathan, Kishore
    Oymak, Samet
    Hassibi, Babak
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2017, 65 (09) : 2402 - 2410
  • [3] STFT Phase Retrieval: Uniqueness Guarantees and Recovery Algorithms
    Jaganathan, Kishore
    Eldar, Yonina C.
    Hassibi, Babak
    IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING, 2016, 10 (04) : 770 - 781
  • [4] On the connection between uniqueness from samples and stability in Gabor phase retrieval
    Alaifari, Rima
    Bartolucci, Francesca
    Steinerberger, Stefan
    Wellershoff, Matthias
    SAMPLING THEORY SIGNAL PROCESSING AND DATA ANALYSIS, 2024, 22 (01):
  • [5] Data Transmission When the Sampling Frequency Exceeds the Nyquist Rate
    Ayanoglu, Ender
    IEEE COMMUNICATIONS LETTERS, 1997, 1 (06) : 157 - 159
  • [6] Uniqueness guarantees for phase retrieval from discrete windowed fractional Fourier transform
    Zhang, Qingyue
    OPTIK, 2018, 158 : 1491 - 1498
  • [7] Uniqueness guarantees for phase retrieval from discrete windowed special affine Fourier transform
    Zhang, Qingyue
    Su, Yue
    Li, Rui
    OPTIK, 2021, 242
  • [8] DIGITAL METHOD FOR DETERMINING THE INITIAL PHASE OF A HARMONIC SIGNAL AT A SAMPLING FREQUENCY LESS THAN THE NYQUIST FREQUENCY
    Lazo, Yu N.
    Tutygin, V. S.
    MEASUREMENT TECHNIQUES, 2019, 62 (07) : 636 - 640
  • [9] Digital Method for Determining the Initial Phase of a Harmonic Signal at a Sampling Frequency Less Than the Nyquist Frequency
    Yu. N. Lazo
    V. S. Tutygin
    Measurement Techniques, 2019, 62 : 636 - 640
  • [10] Phaseless inverse source scattering problem: Phase retrieval, uniqueness and direct sampling methods
    Ji X.
    Liu X.
    Zhang B.
    Journal of Computational Physics: X, 2019, 1
12345