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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Schniter, P. Rangan, S. |
| Copyright Year | 2012 |
| Description | Author affiliation: Dept. of ECE, Polytechnic Institute of New York University, Brooklyn, NY 11201 (Rangan, S.) || Dept. of ECE, The Ohio State University, Columbus, OH 43210 (Schniter, P.) |
| Abstract | In this paper, we propose a novel approach to compressive phase retrieval based on loopy belief propagation and, in particular, on the generalized approximate message passing (GAMP) algorithm. Numerical results show that the proposed PR-GAMP algorithm has excellent phase-transition behavior, noise robustness, and runtime. In particular, for successful recovery of synthetic Bernoulli-circular-Gaussian signals, PR-GAMP requires ≈4 times the number of measurements as a phase-oracle version of GAMP and, at moderate to large SNR, the NMSE of PR-GAMP is only ≈3 dB worse than that of phase-oracle GAMP. A comparison to the recently proposed convex-relation approach known as “CPRL” reveals PR-GAMP's superior phase transition and orders-of-magnitude faster runtimes, especially as the problem dimensions increase. When applied to the recovery of a 65k-pixel grayscale image from 32k randomly masked magnitude measurements, numerical results show a median PR-GAMP runtime of only 13.4 seconds. |
| Starting Page | 815 |
| Ending Page | 822 |
| File Size | 388246 |
| Page Count | 8 |
| File Format | |
| ISBN | 9781467345378 |
| e-ISBN | 9781467345392 |
| DOI | 10.1109/Allerton.2012.6483302 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2012-10-01 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Phase measurement Approximation algorithms Noise measurement Compressed sensing Signal to noise ratio Belief propagation |
| Content Type | Text |
| Resource Type | Article |
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