Phase Retrieval from 1D Fourier Measurements: Convexity, Uniqueness, and Algorithms

DOI10.1109/TSP.2016.2601291zbMath1414.94252arXiv1603.05215MaRDI QIDQ4621067

Yonina C. Eldar, Kejun Huang, Nicholas D. Sidiropoulos

Publication date: 8 February 2019

Published in: IEEE Transactions on Signal Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.05215

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

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Affine phase retrieval for sparse signals via \(\ell_1\) minimization ⋮ One-dimensional phase retrieval: regularization, box relaxation and uniqueness ⋮ Smoothed amplitude flow-based phase retrieval algorithm ⋮ On signal reconstruction from FROG measurements ⋮ Benchmark Problems for Phase Retrieval ⋮ A Proximal Operator for Multispectral Phase Retrieval Problems ⋮ Local and global phaseless sampling in real spline spaces ⋮ Near-optimal bounds for signal recovery from blind phaseless periodic short-time Fourier transform ⋮ Toward a Mathematical Theory of the Crystallographic Phase Retrieval Problem

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