Signal Reconstruction from Phase-Only Measurements: Uniqueness Condition, Minimal Measurement Number and Beyond

DOI10.1137/21m1432077zbMath1528.94014arXiv2109.04365MaRDI QIDQ6168005

Michael Kwok-Po Ng, Unnamed Author

Publication date: 8 August 2023

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.04365

zbMATH Keywords

magnitude retrievalphase retrievalmeasurement matrixphase-only reconstructionminimal measurement number

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Inverse problems in linear algebra (15A29) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

• A geometric analysis of phase retrieval
• Non-Gaussian hyperplane tessellations and robust one-bit compressed sensing
• Saving phase: injectivity and stability for phase retrieval
• Phase retrieval from the magnitudes of affine linear measurements
• On signal reconstruction without phase
• An algebraic characterization of injectivity in phase retrieval
• Almost everywhere generalized phase retrieval
• One-Bit Compressive Sensing With Norm Estimation
• Phase Retrieval via Wirtinger Flow: Theory and Algorithms
• Iterative techniques for minimum phase signal reconstruction from phase or magnitude
• Signal reconstruction from phase or magnitude
• The reconstruction of a multidimensional sequence from the phase or magnitude of its Fourier transform
• Optimal reconstruction of images from localized phase
• The Importance of Phase in Complex Compressive Sensing
• The measure of the critical values of differentiable maps

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