Generalized phase retrieval: measurement number, matrix recovery and beyond

DOI10.1016/j.acha.2017.09.003zbMath1423.42059arXiv1605.08034OpenAlexW2962947988MaRDI QIDQ2325541

Zhiqiang Xu, Yang Wang

Publication date: 26 September 2019

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

Full work available at URL: https://arxiv.org/abs/1605.08034

zbMATH Keywords

Fourier transformembeddingframesbilinear formfusion framesphase retrievallow rank matrix recoverymeasurement number

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15) Quadratic and bilinear forms, inner products (15A63) Matrix completion problems (15A83)

Related Items

Lipschitz Analysis of Generalized Phase Retrievable Matrix Frames, Phase retrieval of complex and vector-valued functions, Almost everywhere generalized phase retrieval, Almost everywhere injectivity conditions for the matrix recovery problem, An extended primal-dual algorithm framework for nonconvex problems: application to image reconstruction in spectral CT, Linear Convergence of Randomized Kaczmarz Method for Solving Complex-Valued Phaseless Equations, The minimal measurement number for low-rank matrix recovery, Phase retrieval in quaternion Euclidean spaces, Affine phase retrieval for sparse signals via \(\ell_1\) minimization, Image Recovery for Blind Polychromatic Ptychography, Uniqueness and stability for the solution of a nonlinear least squares problem, Unnamed Item, FROG-measurement based phase retrieval for analytic signals, Phase retrieval by hyperplanes, Phase retrieval for sub-Gaussian measurements, New lower bounds for trace reconstruction, Phase retrieval from the norms of affine transformations, On DC based methods for phase retrieval, Conjugate phase retrieval in Paley-Wiener space, On stability of generalized phase retrieval and generalized affine phase retrieval, On stability of generalized (affine) phase retrieval in the complex case, Complete set of translation invariant measurements with Lipschitz bounds, The Cramer–Rao lower bound in a non-AWGN model for the affine phase retrieval, The minimal measurement number for generalized conjugate phase retrieval

Uses Software

• PhaseLift

Cites Work

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