Sparse phase retrieval via ℓp (0 < p ≤ 1) minimization

DOI10.1142/S021969132150034XzbMath1500.94006MaRDI QIDQ5063218

Wei Huang, Manxia Cao

Publication date: 17 March 2022

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

phase retrievalrestricted isometry property\(\ell_p\)-minimization

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Inverse theorems in approximation theory (41A27) Conjugate functions, conjugate series, singular integrals (42A50)

Cites Work

• Stable signal recovery from phaseless measurements
• Compressed sensing with coherent and redundant dictionaries
• The \( \ell _1 \)-analysis in phase retrieval with redundant dictionary
• A strong restricted isometry property, with an application to phaseless compressed sensing
• Sharp RIP bound for sparse signal and low-rank matrix recovery
• Optimal RIP bounds for sparse signals recovery via \(\ell_p\) minimization
• Stable phase retrieval with low-redundancy frames
• Optimal \(D\)-RIP bounds in compressed sensing
• On signal reconstruction without phase
• An Unconstrained $\ell_q$ Minimization with $0q\leq1$ for Sparse Solution of Underdetermined Linear Systems
• Restricted isometry properties and nonconvex compressive sensing
• High-Resolution Radar via Compressed Sensing
• GESPAR: Efficient Phase Retrieval of Sparse Signals
• Phaseless Recovery Using the Gauss–Newton Method
• Sparse Representation of a Polytope and Recovery of Sparse Signals and Low-Rank Matrices