Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773545 | Applied and Computational Harmonic Analysis | 2017 | 29 Pages |
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(log2â¡d) different diffraction patterns, thus improving on recent results by Candès et al. [1], which demand O(log4â¡d) different patterns.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
D. Gross, F. Krahmer, R. Kueng,