Title
Phase Retrieval Of Sparse Signals Using Optimization Transfer And Admm
Abstract
We propose a reconstruction method for the phase retrieval problem prevalent in optics, crystallography, and other imaging applications. Our approach uses signal sparsity to provide robust reconstruction, even in the presence of outliers. Our method is multi-layered, involving multiple random initial conditions, convex majorization, variable splitting, and alternating directions method of multipliers (ADMM)-based implementation. Monte Carlo simulations demonstrate that our algorithm can correctly and robustly detect sparse signals from full and undersampled sets of squared-magnitude-only measurements, corrupted by additive noise or outliers.
Year
DOI
Venue
2014
10.1109/ICIP.2014.7025268
2014 IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING (ICIP)
Keywords
Field
DocType
phase retrieval, sparse recovery, variable splitting, majorize-minimize, ADMM
Monte Carlo method,Phase retrieval,Pattern recognition,Computer science,Outlier,Regular polygon,Majorization,Artificial intelligence
Conference
ISSN
Citations 
PageRank 
1522-4880
0
0.34
References 
Authors
16
6
Name
Order
Citations
PageRank
Daniel S. Weller18814.85
Ayelet Pnueli2131.59
Ori Radzyner350.78
Gilad Divon451.11
Y. C. Eldar56399458.37
J. A. Fessler61743229.34