Projections and phase retrieval

DOI10.1016/j.acha.2015.12.004zbMath1356.15004arXiv1506.00674OpenAlexW2963465734MaRDI QIDQ504384

Dan Edidin

Publication date: 16 January 2017

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.00674

zbMATH Keywords

vector spaceorthogonal projectionsalgebraic geometryphase retrieval

Mathematics Subject Classification ID

Inverse problems in linear algebra (15A29)

Related Items (18)

Phase retrieval of complex and vector-valued functions ⋮ Almost everywhere generalized phase retrieval ⋮ Almost everywhere injectivity conditions for the matrix recovery problem ⋮ Dynamical quantum tomography ⋮ Fundamental results on weak phase retrieval ⋮ The minimal measurement number for low-rank matrix recovery ⋮ About systems of vectors and subspaces in finite dimensional space recovering vectorsignal ⋮ Phase retrieval versus phaseless reconstruction ⋮ Unnamed Item ⋮ Phase-retrievable operator-valued frames and representations of quantum channels ⋮ Norm retrieval and phase retrieval by projections ⋮ Phase retrieval by hyperplanes ⋮ Phase retrieval for sub-Gaussian measurements ⋮ Phase retrieval from the norms of affine transformations ⋮ Local and global phaseless sampling in real spline spaces ⋮ Generalized phase retrieval: measurement number, matrix recovery and beyond ⋮ Norm retrieval from few spatio-temporal samples ⋮ Toward a Mathematical Theory of the Crystallographic Phase Retrieval Problem

Cites Work

• Saving phase: injectivity and stability for phase retrieval
• On signal reconstruction without phase
• An algebraic characterization of injectivity in phase retrieval
• Phase Retrieval By Projections
• Signal Reconstruction From the Magnitude of Subspace Components
• Embedding Complex Projective Spaces in Euclidean Space
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