Gabor phase retrieval is severely ill-posed

DOI10.1016/j.acha.2019.09.003zbMath1464.94008arXiv1805.06716OpenAlexW3101235061WikidataQ127204193 ScholiaQ127204193MaRDI QIDQ2659726

Philipp Grohs, Rima Alaifari

Publication date: 26 March 2021

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

Full work available at URL: https://arxiv.org/abs/1805.06716

zbMATH Keywords

stabilityGabor transformphase retrieval

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Sequence spaces (including Köthe sequence spaces) (46A45) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15)

Related Items (9)

Stable Gabor phase retrieval for multivariate functions ⋮ On the stability of Fourier phase retrieval ⋮ Non-Uniqueness Theory in Sampled STFT Phase Retrieval ⋮ Stable Gabor phase retrieval in Gaussian shift-invariant spaces via biorthogonality ⋮ Phase Retrieval: Uniqueness and Stability ⋮ Stable phase retrieval from locally stable and conditionally connected measurements ⋮ Random sampling and reconstruction of concentrated signals in a reproducing kernel space ⋮ Near-optimal bounds for signal recovery from blind phaseless periodic short-time Fourier transform ⋮ Ill-Posed Problems: From Linear to Nonlinear and Beyond

Cites Work

• Unnamed Item
• Unnamed Item
• Phase retrieval for the Cauchy wavelet transform
• Saving phase: injectivity and stability for phase retrieval
• Stable phase retrieval in infinite dimensions
• On signal reconstruction without phase
• Phase retrieval in infinite-dimensional Hilbert spaces
• New tight frames of curvelets and optimal representations of objects with piecewise C² singularities
• An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
• Stable Gabor Phase Retrieval and Spectral Clustering
• Phase Retrieval In The General Setting Of Continuous Frames For Banach Spaces

This page was built for publication: Gabor phase retrieval is severely ill-posed