Phase retrieval of real-valued signals in a shift-invariant space

DOI10.1016/j.acha.2018.11.002zbMath1436.94017arXiv1603.01592OpenAlexW2963497478WikidataQ128919507 ScholiaQ128919507MaRDI QIDQ2175013

Yanyan Li

Publication date: 27 April 2020

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.01592

zbMATH Keywords

waveletssplinesshift-invariant spacessampling densityphaseless sampling and reconstructionphase retrieval in infinite-dimensional linear spaces

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for wavelets (65T60)

Related Items (20)

Phase Retrieval from Linear Canonical Transforms ⋮ Phase retrieval of complex and vector-valued functions ⋮ Stable phase retrieval and perturbations of frames ⋮ Phase retrieval from intensity difference of linear canonical transform ⋮ Inertial proximal ADMM for separable multi-block convex optimizations and compressive affine phase retrieval ⋮ Reconstructing real-valued functions from unsigned coefficients with respect to wavelet and other frames ⋮ Stable Gabor phase retrieval in Gaussian shift-invariant spaces via biorthogonality ⋮ Phase retrieval for nilpotent groups ⋮ Reconstruction of splines from nonuniform samples ⋮ Uniqueness of STFT phase retrieval in shift-invariant spaces ⋮ FROG-measurement based phase retrieval for analytic signals ⋮ Stable phase retrieval from locally stable and conditionally connected measurements ⋮ 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 ⋮ Stable phase retrieval in infinite dimensions ⋮ Local and global phaseless sampling in real spline spaces ⋮ Phase-retrieval in shift-invariant spaces with Gaussian generator ⋮ The Cramer–Rao lower bound in a non-AWGN model for the affine phase retrieval ⋮ Almost Phaseless Sampling for Spline Spaces with Arbitrary Knots* ⋮ Ill-Posed Problems: From Linear to Nonlinear and Beyond

Uses Software

• PhaseLift
• Wirtinger Flow

Cites Work

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