Phase retrieval versus phaseless reconstruction

DOI10.1016/j.jmaa.2015.11.045zbMath1357.94029arXiv1507.05815OpenAlexW2962871580MaRDI QIDQ905943

Janet C. Tremain, Hanh Van Nguyen, Sara Botelho-Andrade, Peter G. Casazza

Publication date: 28 January 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.05815

zbMATH Keywords

projectionsphase retrievalphaseless reconstructionframe theorycomplement propertyweak phase retrieval

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Application of orthogonal and other special functions (94A11)

Related Items (6)

Fundamental results on weak phase retrieval ⋮ Phase Retrieval: Uniqueness and Stability ⋮ Norm retrieval and phase retrieval by projections ⋮ Phase retrieval by hyperplanes ⋮ Some identities and inequalities for \(F_a\)-frame sequences in \(L^2 (\mathbb{R}_+)\) ⋮ Norm retrieval from few spatio-temporal samples

Cites Work

• Projections and phase retrieval
• Quantum tomography under prior information
• Saving phase: injectivity and stability for phase retrieval
• Stable phase retrieval with low-redundancy frames
• On signal reconstruction without phase
• An algebraic characterization of injectivity in phase retrieval
• Phase Retrieval By Projections

This page was built for publication: Phase retrieval versus phaseless reconstruction