Title
A Compact Super Resolution Phase Retrieval Method for Fourier Measurement
Abstract
The method of super-resolution phase retrieval (PR) for Fourier phaseless measurement extends the signal model of PR from the discrete domain to a more realistic continuous domain. However, the existing three-stage solving framework contains unnecessary redundancy, so its core steps are loosely connected and have high computational complexity. Aiming at this, new algorithms are proposed for the following two key steps respectively, so as to achieve a compact super-resolution PR framework. First, for the super-resolution stage of the auto-correlation function (ACF), a non-redundant algorithm is proposed by merging items containing the same information. Then, a low complexity iterative algorithm is proposed for the support recovery by employing the relationship of elements we obtain from the previous step. Sufficient numerical simulations verify the effectiveness of the proposed algorithms and each step has better noise robustness compared with the existing method, but worse robustness when they combine. Therefore, we test the performance of different subalgorithm combination strategies, providing insight in meeting diverse requirements for noise robustness and computational complexity. Moreover, the effectiveness of the proposed method in a real system is verified by hardware experiment.
Year
DOI
Venue
2022
10.1109/TIM.2022.3186088
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT
Keywords
DocType
Volume
Phase measurement, Superresolution, Scattering, Estimation, Redundancy, Signal resolution, Noise robustness, Continuous domain, phase retrieval (PR), phaseless Fourier measurement, super-resolution
Journal
71
ISSN
Citations 
PageRank 
0018-9456
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Xiaodong Li117.45
Ning Fu2159.20
Pinjun Zheng300.34
Liyan Qiao433.80