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Phase retrieval via reweighted Wirtinger flow

Applied Optics, ISSN: 2155-3165, Vol: 56, Issue: 9, Page: 2418-2427
2017
  • 34
    Citations
  • 0
    Usage
  • 22
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    34
    • Citation Indexes
      34
  • Captures
    22

Article Description

Phase retrieval (PR) is a kind of ill-condition inverse problem which can be found in various applications. Based on the Wirtinger flow (WF) method, a reweighted Wirtinger flow (RWF) method is proposed to deal with the PR problem. In a nutshell, RWF searches the global optimum by solving a series of sub-PR problems with changing weights. Theoretical analyses illustrate that the RWF has a geometric convergence from a deliberate initialization when the weights are bounded by 1 and 10/9. Numerical tests also show the RWF has a lower sampling complexity compared with the WF. As an essentially adaptive truncated Wirtinger flow (TWF) method, the RWF performs better than the TWF especially when the ratio between sampling number m and length of signal n is small.

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