Conjugate phase retrieval on \(\mathbb{C}^M\) by real vectors

DOI10.1016/j.laa.2019.11.001zbMath1437.42048arXiv1709.08836OpenAlexW2988735840MaRDI QIDQ2174405

Luke Evans, Chun-Kit Lai

Publication date: 21 April 2020

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.08836

zbMATH Keywords

framephase retrievalconjugategeneric numbers

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15) Applications of operator theory in systems, signals, circuits, and control theory (47N70)

Related Items

Phase Retrieval from Linear Canonical Transforms ⋮ Phase retrieval of complex and vector-valued functions ⋮ Phase retrieval for affine groups over prime fields ⋮ Conjugate phase retrieval in Paley-Wiener space ⋮ The minimal measurement number for generalized conjugate phase retrieval

Cites Work

• Reconstruction of signals from magnitudes of redundant representations: the complex case
• Phaseless signal recovery in infinite dimensional spaces using structured modulations
• Reconstruction of bandlimited functions from unsigned samples
• Phase retrieval for the Cauchy wavelet transform
• Quantum tomography under prior information
• Saving phase: injectivity and stability for phase retrieval
• On signal reconstruction without phase
• An algebraic characterization of injectivity in phase retrieval
• Phase retrieval and norm retrieval
• Unnamed Item