A theory of super-resolution from short-time Fourier transform measurements

DOI10.1007/s00041-017-9534-xzbMath1388.42014arXiv1509.01047OpenAlexW2963748825MaRDI QIDQ1704865

Céline Aubel, David Stotz, Helmut Bölcskei

Publication date: 13 March 2018

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

Full work available at URL: https://arxiv.org/abs/1509.01047

zbMATH Keywords

sparsitysuper-resolutioninverse problems in measure spaces

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Spaces of measures, convergence of measures (28A33) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Spaces of measures (46E27) Holomorphic functions of several complex variables (32A10)

Related Items (5)

Point source super-resolution via non-convex \(L_1\) based methods ⋮ Beurling-type density criteria for system identification ⋮ A theory of super-resolution from short-time Fourier transform measurements ⋮ Super-resolution by means of Beurling minimal extrapolation ⋮ TV-based spline reconstruction with Fourier measurements: uniqueness and convergence of grid-based methods

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