Phase retrieval from the norms of affine transformations

DOI10.1016/j.aam.2021.102243zbMath1469.94030arXiv1805.07899OpenAlexW3166272768MaRDI QIDQ2048386

Zhiqiang Xu, Meng Huang

Publication date: 5 August 2021

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.07899

zbMATH Keywords

phase retrievalmatrix recoverydeterminant variety

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15)

Related Items (4)

Phase retrieval of complex and vector-valued functions ⋮ Unnamed Item ⋮ On DC based methods for phase retrieval ⋮ On stability of generalized phase retrieval and generalized affine phase retrieval

Uses Software

• PhaseLift
• Wirtinger Flow

Cites Work

• Projections and phase retrieval
• Generalized phase retrieval: measurement number, matrix recovery and beyond
• Phase retrieval from the magnitudes of affine linear measurements
• On signal reconstruction without phase
• An algebraic characterization of injectivity in phase retrieval
• Phase Retrieval By Projections
• PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming
• Phase Retrieval via Wirtinger Flow: Theory and Algorithms
• Phaseless Recovery Using the Gauss–Newton Method
• Phase retrieval by hyperplanes
• Phase retrieval with background information

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