Results 21 to 30 of about 7,807,536 (173)
SPIE Proceedings, 2015 We answer a number of open problems concerning phase retrieval and phase retrieval by projections. In particular, one main theorem classifies phase retrieval by projections via collections of sequences of vectors allowing norm retrieval. Another key result computes the minimal number of vectors needed to add to a frame in order for it to possess the ...
Cahill, Jameson +3 more
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Phase Retrieval with Sparse Phase Constraint [PDF]
SIAM Journal on Mathematics of Data Science, 2020 For the first time, this paper investigates the phase retrieval problem with the assumption that the phase (of the complex signal) is sparse in contrast to the sparsity assumption on the signal itself as considered in the literature of sparse signal processing.
Nguyen Hieu Thao +3 more
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Injectivity of Gabor phase retrieval from lattice measurements [PDF]
Applied and Computational Harmonic Analysis, 2020 We establish novel uniqueness results for the Gabor phase retrieval problem: If $\mathcal{G} : L^2(\mathbb{R}) \to L^2(\mathbb{R}^2)$ denotes the Gabor transform then every $f \in L^4[-c/2,c/2]$ is determined up to a global phase by the values $|\mathcal{
P. Grohs, Lukas Liehr
semanticscholar +1 more source
Phase Retrieval: Uniqueness and Stability [PDF]
SIAM Review, 2019 The problem of phase retrieval, i.e., the problem of recovering a function from the magnitudes of its Fourier transform, naturally arises in various fields of physics, such as astronomy, radar, speech recognition, quantum mechanics and, perhaps most ...
P. Grohs +2 more
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Uniqueness of STFT phase retrieval for bandlimited functions [PDF]
, 2020 We consider the problem of phase retrieval from magnitudes of short-time Fourier transform (STFT) measurements. It is well-known that signals are uniquely determined (up to global phase) by their STFT magnitude when the underlying window has an ambiguity
Rima Alaifari, Matthias Wellershoff
semanticscholar +1 more source
Stable Phase Retrieval from Locally Stable and Conditionally Connected Measurements [PDF]
arXiv.org, 2020 This paper is concerned with stable phase retrieval for a family of phase retrieval models we name "locally stable and conditionally connected" (LSCC) measurement schemes.
Cheng Cheng +3 more
semanticscholar +1 more source
Gradient descent with random initialization: fast global convergence for nonconvex phase retrieval [PDF]
Mathematical programming, 2018 This paper considers the problem of solving systems of quadratic equations, namely, recovering an object of interest x♮∈Rn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage ...
Yuxin Chen +3 more
semanticscholar +1 more source
DeepPhaseCut: Deep Relaxation in Phase for Unsupervised Fourier Phase Retrieval [PDF]
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2020 Fourier phase retrieval is a classical problem of restoring a signal only from the measured magnitude of its Fourier transform. Although Fienup-type algorithms, which use prior knowledge in both spatial and Fourier domains, have been widely used in ...
E. Cha +3 more
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Classifying weak phase retrieval
, 2023 arXiv admin note: substantial text overlap with arXiv:2110 ...
Casazza, P. G., Akrami, F.
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Phase retrieval from very few measurements [PDF]
, 2013 In many applications, signals are measured according to a linear process, but the phases of these measurements are often unreliable or not available. To reconstruct the signal, one must perform a process known as phase retrieval.
Fickus, Matthew +3 more
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