open access

https://hdl.handle.net/2115/49430

Compressed sensing for phase retrieval

英語

2012-05

American Physical Society

Physical Review E

85(5)

056706

To date there are several iterative techniques that enjoy moderate success when reconstructing phase information, where only intensity measurements are made. There remains, however, a number of cases in which conventional approaches are unsuccessful. In the last decade, the theory of compressed sensing has emerged and provides a route to solving convex optimisation problems exactly via ℓ1-norm minimization. Here the application of compressed sensing to phase retrieval in a nonconvex setting is reported. An algorithm is presented that applies reweighted ℓ1-norm minimization to yield accurate reconstruction where conventional methods fail.

学術雑誌論文

Version of Record

©2012 American Physical Society

1539-3755