Fourier Phase Retrieval with a Single Mask by Douglas-Rachford Algorithm

Abstract

Douglas-Rachford (DR) algorithm is analyzed for Fourier phase retrieval with a single random phase mask. Local, geometric convergence to a unique fixed point is proved with numerical demonstration of global convergence.

References in corpus (3)

• A Partial Derandomization of PhaseLift using Spherical Designs
• Phase Retrieval for Sparse Signals: Uniqueness Conditions
• Invertibility and Robustness of Phaseless Reconstruction

Cited by in corpus (5)

• Solving Systems of Random Quadratic Equations via Truncated Amplitude Flow
• Denoising Poisson Phaseless Measurements via Orthogonal Dictionary Learning
• Phase Retrieval with One or Two Diffraction Patterns by Alternating Projection with Null Initialization
• A general framework for denoising phaseless diffraction measurements
• Phase Retrieval by Linear Algebra