Gross, D., Krahmer, F. and Kueng, R. (2017). Improved recovery guarantees for phase retrieval from coded diffraction patterns. Appl. Comput. Harmon. Anal., 42 (1). S. 37 - 65. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1096-603X
Full text not available from this repository.Abstract
In this work we analyze the problem of phase retrieval from Fourier measurements with random diffraction patterns. To this end, we consider the recently introduced PhaseLift algorithm, which expresses the problem in the language of convex optimization. We provide recovery guarantees which require O(log(2) d) different diffraction patterns, thus improving on recent results by Candes et al. [1], which demand O(log(4) d) different patterns. (C) 2015 Elsevier Inc. All rights reserved.
| Item Type: | Journal Article | ||||||||||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-242959 | ||||||||||||||||
| DOI: | 10.1016/j.acha.2015.05.004 | ||||||||||||||||
| Journal or Publication Title: | Appl. Comput. Harmon. Anal. | ||||||||||||||||
| Volume: | 42 | ||||||||||||||||
| Number: | 1 | ||||||||||||||||
| Page Range: | S. 37 - 65 | ||||||||||||||||
| Date: | 2017 | ||||||||||||||||
| Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | ||||||||||||||||
| Place of Publication: | SAN DIEGO | ||||||||||||||||
| ISSN: | 1096-603X | ||||||||||||||||
| Language: | English | ||||||||||||||||
| Faculty: | Unspecified | ||||||||||||||||
| Divisions: | Unspecified | ||||||||||||||||
| Subjects: | no entry | ||||||||||||||||
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| Refereed: | Yes | ||||||||||||||||
| URI: | http://kups.ub.uni-koeln.de/id/eprint/24295 |
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