稀疏相位恢复的改进GS和HIO算法

Improved GS and HIO Algorithms for Sparse Phase Retrieval

摘要: 为了提高相位恢复的恢复度，保证恢复的唯一性，在这个基础上简化算法，提高恢复效率，本文在原有的DFRFT算法以及GS算法和HIO算法的基础上提出了两种二者结合的改进算法——DFRFT_GS和DFRFT_HIO算法，并通过大量仿真实验验证了两种算法的有效性和实用性。实验结果表明，这两种算法具有较高的相位精度和稳定性，在实际应用中具有很高的价值，且能够在较少的振幅测量情况下达到比原有的FFT算法更加优化的恢复效果。

Abstract: In order to improve the recovery degree of phase retrieval, ensure the uniqueness of recovery, sim-plify the algorithm on this basis, and improve the recovery efficiency, this paper proposes two im-proved algorithms: DFRFT_GS algorithm and DFRFT_HIO algorithm, which combine two algorithms on the basis of the original DFRFT algorithm and GS algorithm and HIO algorithm. The effectiveness and practicability of the two algorithms are verified by a large number of simulation experiments. The experimental results show that these two algorithms have high phase accuracy and stability, and have high value in practical application, and can achieve more optimal recovery effect than the original FFT algorithm under the condition of less amplitude measurement.