Phaseless signal recovery in infinite dimensional spaces using structured modulations

DOI10.1007/s00041-014-9352-3zbMath1305.30016arXiv1305.2789OpenAlexW2051442432MaRDI QIDQ488001

Fanny Yang, Holger Boche, Volker Pohl

Publication date: 23 January 2015

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

Full work available at URL: https://arxiv.org/abs/1305.2789

zbMATH Keywords

interpolationsamplingsignal reconstructionphase retrievalBernstein spaces

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20) Representations of entire functions of one complex variable by series and integrals (30D10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (15)

Phase retrieval of real-valued functions in Sobolev space ⋮ Phase retrieval of complex and vector-valued functions ⋮ Algorithms and error bounds for noisy phase retrieval with low-redundancy frames ⋮ Conjugate phase retrieval on \(\mathbb{C}^M\) by real vectors ⋮ One-dimensional phase retrieval with additional interference intensity measurements ⋮ Phase retrieval of real-valued signals in a shift-invariant space ⋮ Ambiguities in one-dimensional discrete phase retrieval from Fourier magnitudes ⋮ Phaseless sampling and reconstruction of real-valued signals in shift-invariant spaces ⋮ Stable phaseless sampling and reconstruction of real-valued signals with finite rate of innovation ⋮ System Approximations and Generalized Measurements in Modern Sampling Theory ⋮ Conjugate phase retrieval in Paley-Wiener space ⋮ Phase retrieval in infinite-dimensional Hilbert spaces ⋮ Stable phase retrieval in infinite dimensions ⋮ Local and global phaseless sampling in real spline spaces ⋮ Ill-Posed Problems: From Linear to Nonlinear and Beyond

Uses Software

• PhaseLift

Cites Work

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• TAGE iterative algorithm and nonpolynomial spline basis for the solution of nonlinear singular second order ordinary differential equations
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• Multipliers for entire functions and an interpolation problem of Beurling
• On designs in compact metric spaces and a universal bound on their size
• On signal reconstruction without phase
• QUANTUM DESIGNS: FOUNDATIONS OF A NONCOMMUTATIVE DESIGN THEORY
• Signal reconstruction from phase or magnitude

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