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Perturbed-amplitude-flow (PAF)

MATLAB demo for phase retrieval using Perturbed Amplitude Flow algorithm, which is proposed by B. Gao et al in 2020 [1].

Pseudo-code of PAF

Simulation

  1. Complex-numebr case (m/n=5)

  1. Real-number case (m/n=5)

For detailed peformance comparison with other non-convex algorithms like AF, TAF, RAF, in terms of the relative error progress curve with or without noise, recovery probability at various sampling rates m/n, please see the paper [1].

Reference

[1] B. Gao, X. Sun, Y. Wang and Z. Xu. (2020). "Perturbed amplitude flow for phase retrieval." IEEE Transactions on Signal Processing 68: 5427-5440.