the code of "Single-shot Fractional Fourier Phase Retrieval"
Yixiao Yang (yixiaoyang@bit.edu.cn), and Ran Tao，Beijing Institute of Technology
This implementation of SFrFPR is based on Matlab.
[Please run Benchmark_SFrFPR.m.]
Traditional phase retrieval is generally concerned with re-covering a signal from its Fourier magnitude measurements whose inherent ambiguities make this problem especially difficult. In this work, we present an efficient phase retrieval technique from the single fractional Fourier transform (FrFT) magnitude measurement. Specifically, the FrFT measurement can be well-combined with signal priors via a generalized alternating projection framework, which can effectively alleviate the ambiguities of phase retrieval and the stagnation problem of numerical iterative processes. Through numerical simulations, we demonstrate that reconstructing an image from the single FrFT measurement leads to a significant performance improvement over that from the Fourier transform magnitude by using the proposed method.
@INPROCEEDINGS{10095976, author={Yang, Yixiao and Tao, Ran}, booktitle={ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)}, title={Single-Shot Fractional Fourier Phase Retrieval}, year={2023}, volume={}, number={}, pages={1-5}, doi={10.1109/ICASSP49357.2023.10095976}}