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
  • [21] Increased sampling rate with Hilbert transformation for AWG phase error measurement in frequency domain
    Takada, K.
    Yokota, T.
    Hirose, T.
    ELECTRONICS LETTERS, 2008, 44 (25) : 1484 - +
  • [22] An Effective Carrier Frequency and Phase Offset Tracking Scheme in the Case of Symbol Rate Sampling
    Li, Yunhua
    Tian, Bin
    Yi, Ke-Chu
    Yu, Quan
    IEICE TRANSACTIONS ON COMMUNICATIONS, 2016, E99B (02) : 337 - 346
  • [23] High diffraction efficiency from one- and two-dimensional Nyquist frequency binary-phase gratings
    Davis, Jeffrey A.
    Slovick, Brian A.
    Tuvey, C. Stewart
    Cottrell, Don M.
    APPLIED OPTICS, 2008, 47 (15) : 2829 - 2834
  • [24] Phase retrieval with unknown sampling factors via the two-dimensional chirp z-transform
    Jurling, Alden S.
    Fienup, James R.
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2014, 31 (09) : 1904 - 1911
  • [25] All-phase FIR filter design based on two kinds of symmetric frequency sampling
    Huang, Xiang-Dong
    Wang, Zhao-Hua
    Dianzi Yu Xinxi Xuebao/Journal of Electronics and Information Technology, 2007, 29 (02): : 478 - 481
  • [26] Multiplication of Signal Sampling Rate by Dual-Frequency Light in Phase Optical Time Domain Reflector
    Zhong Zhen
    Zhang Xuping
    Zou Ningmu
    ACTA OPTICA SINICA, 2024, 44 (01)
  • [27] Frequency domain phase extraction algorithm for phase-shifting interferometry with random phase-shifting amount and low-sampling rate
    Liu, Shengde
    Zhong, Liyun
    Zhang, Fengjie
    Lu, Xiaoxu
    OPTICS COMMUNICATIONS, 2013, 291 : 150 - 154
  • [28] Experimental Investigation of Sampling Phase Sensitivity in Baud-Rate Sampled Coherent Receiver for Nyquist Pulse-Shaped High-Order QAM Signals
    Lu, Guo-Wei
    Sakamoto, Takahide
    Kawanishi, Tetsuya
    2014 CONFERENCE ON LASERS AND ELECTRO-OPTICS (CLEO), 2014,
  • [29] High sampling rate multi-pulse phase-sensitive OTDR employing frequency division multiplexing
    Pan, Zhengqing
    Wang, Zhaoyong
    Ye, Qing
    Cai, Haiwen
    Qu, Ronghui
    Fang, Zujie
    23RD INTERNATIONAL CONFERENCE ON OPTICAL FIBRE SENSORS, 2014, 9157
  • [30] Gas-liquid two-phase flow rate measurement with a multi-nozzle sampling method
    Liang, Fachun
    Sun, Yuan
    Yang, GuiYun
    Song, Lianmin
    EXPERIMENTAL THERMAL AND FLUID SCIENCE, 2015, 68 : 82 - 88
12345