Uniqueness of a one-dimensional phase retrieval problem

被引：8
作者：
Klibanov, Michael V. [1 ]
Kamburg, Vladimir G. [2 ]
机构：
[1] Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA
[2] Penza State Univ Architecture & Bldg, Dept Informat & Comp Syst, Penza 440028, Russia
来源：
INVERSE PROBLEMS | 2014年 / 30卷 / 07期
关键词：
phase problem; uniqueness of phase retrieval; complex zeros; INVERSE SCATTERING; RECONSTRUCTION; ALGORITHMS; MODULUS;
D O I：
10.1088/0266-5611/30/7/075004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A uniqueness theorem is proven for the problem of the reconstruction of a compactly supported complex valued function from the modulus of its Fourier transform in the one-dimensional case.
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收藏
页数：10
相关论文
共 16 条
  • [1] Inverse problem on the line without phase information
    Aktosun, T
    Sacks, PE
    [J]. INVERSE PROBLEMS, 1998, 14 (02) : 211 - 224
  • [2] [Anonymous], 1979, COMPLEX ANAL
  • [3] Born M., 1970, Principles of Optics: Electromagnetic Theory of Propagation, Interference, and Diffraction of Light, V4th
  • [4] PHASE RECONSTRUCTION VIA NONLINEAR LEAST-SQUARES
    DOBSON, DC
    [J]. INVERSE PROBLEMS, 1992, 8 (04) : 541 - 557
  • [5] Phase retrieval algorithms: a personal tour
    Fienup, James R.
    [J]. APPLIED OPTICS, 2013, 52 (01) : 45 - 56
  • [6] HUBBLE SPACE TELESCOPE CHARACTERIZED BY USING PHASE-RETRIEVAL ALGORITHMS
    FIENUP, JR
    MARRON, JC
    SCHULZ, TJ
    SELDIN, JH
    [J]. APPLIED OPTICS, 1993, 32 (10): : 1747 - 1767
  • [7] Hurt NE, 2002, PHASE RETRIEVAL ZERO
  • [8] Klibanov M V, 1985, SOV MATH DOKL, V32, P668
  • [9] Klibanov M V, 1987, SIBERIAN MATH J, V27, P708
  • [10] Klibanov M V, APPL ANAL IN PRESS
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