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Compressed sensing for phase retrieval

Compressed sensing for phase retrieval
Compressed sensing for phase retrieval
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 l(1)-norm minimization. Here the application of compressed sensing to phase retrieval in a nonconvex setting is reported. An algorithm is presented that applies reweighted l(1)-norm minimization to yield accurate reconstruction where conventional methods fail.
1539-3755
056706-1 - 056706-5
Newton, Marcus
fac92cce-a9f3-46cd-9f58-c810f7b49c7e
Newton, Marcus
fac92cce-a9f3-46cd-9f58-c810f7b49c7e

Newton, Marcus (2012) Compressed sensing for phase retrieval. Physical Review E, 85 (5), 056706-1 - 056706-5. (doi:10.1103/PhysRevE.85.056706).

Record type: Article

Abstract

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 l(1)-norm minimization. Here the application of compressed sensing to phase retrieval in a nonconvex setting is reported. An algorithm is presented that applies reweighted l(1)-norm minimization to yield accurate reconstruction where conventional methods fail.

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More information

Published date: 22 May 2012

Identifiers

Local EPrints ID: 451655
URI: http://eprints.soton.ac.uk/id/eprint/451655
ISSN: 1539-3755
PURE UUID: 96dbbaed-a410-41ba-a5bb-24a632b24460
ORCID for Marcus Newton: ORCID iD orcid.org/0000-0002-4062-2117

Catalogue record

Date deposited: 18 Oct 2021 16:31
Last modified: 28 Oct 2021 01:46

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