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Proceedings Paper

Phase retrieval via incremental truncated amplitude flow algorithm
Author(s): Quanbing Zhang; Zhifa Wang; Linjie Wang; Shichao Cheng
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Paper Abstract

This paper considers the phase retrieval problem of recovering the unknown signal from the given quadratic measurements. A phase retrieval algorithm based on Incremental Truncated Amplitude Flow (ITAF) which combines the ITWF algorithm and the TAF algorithm is proposed. The proposed ITAF algorithm enhances the initialization by performing both of the truncation methods used in ITWF and TAF respectively, and improves the performance in the gradient stage by applying the incremental method proposed in ITWF to the loop stage of TAF. Moreover, the original sampling vector and measurements are preprocessed before initialization according to the variance of the sensing matrix. Simulation experiments verified the feasibility and validity of the proposed ITAF algorithm. The experimental results show that it can obtain higher success rate and faster convergence speed compared with other algorithms. Especially, for the noiseless random Gaussian signals, ITAF can recover any real-valued signal accurately from the magnitude measurements whose number is about 2.5 times of the signal length, which is close to the theoretic limit (about 2 times of the signal length). And it usually converges to the optimal solution within 20 iterations which is much less than the state-of-the-art algorithms.

Paper Details

Date Published: 24 October 2017
PDF: 7 pages
Proc. SPIE 10461, AOPC 2017: Optical Spectroscopy and Imaging, 1046115 (24 October 2017); doi: 10.1117/12.2285171
Show Author Affiliations
Quanbing Zhang, Anhui Univ. (China)
Zhifa Wang, Anhui Univ. (China)
Linjie Wang, Anhui Univ. (China)
Shichao Cheng, Anhui Univ. (China)

Published in SPIE Proceedings Vol. 10461:
AOPC 2017: Optical Spectroscopy and Imaging
Jin Yu; Zhe Wang; Wei Hang; Bing Zhao; Xiandeng Hou; Mengxia Xie; Tsutomu Shimura, Editor(s)

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