On stability of generalized phase retrieval and generalized affine phase retrieval

DOI10.1186/s13660-019-1968-zzbMath1499.42150OpenAlexW2915224907MaRDI QIDQ2067714

Zhitao Zhuang

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-019-1968-z

zbMATH Keywords

bi-LipschitzCramer-Rao lower boundgeneralized affine phase retrieval

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (3)

Lipschitz Analysis of Generalized Phase Retrievable Matrix Frames ⋮ On stability of generalized (affine) phase retrieval in the complex case ⋮ The Cramer–Rao lower bound in a non-AWGN model for the affine phase retrieval

Cites Work

• Reconstruction of signals from magnitudes of redundant representations: the complex case
• Phase retrieval from the norms of affine transformations
• Saving phase: injectivity and stability for phase retrieval
• Generalized phase retrieval: measurement number, matrix recovery and beyond
• Invertibility and robustness of phaseless reconstruction
• Phase retrieval from the magnitudes of affine linear measurements
• Phase retrieval: stability and recovery guarantees
• On signal reconstruction without phase
• \(g\)-frames and \(g\)-Riesz bases
• Phase Retrieval By Projections
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