Variations on a theorem of Candès, Romberg and Tao

DOI10.5802/aif.2823zbMath1306.42006arXiv1210.4025OpenAlexW2964147699MaRDI QIDQ2511495

Jean-Pierre Kahane

Publication date: 6 August 2014

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.4025

zbMATH Keywords

Fourier transformminimal extensionsignal theoryWiener algebrarandom selectioncomressed sensing

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for discrete and fast Fourier transforms (65T50) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Lacunary series of trigonometric and other functions; Riesz products (42A55) Sampling theory in information and communication theory (94A20) Probabilistic methods for one variable harmonic analysis (42A61)

Related Items (3)

Data-driven atomic decomposition via frequency extraction of intrinsic mode functions ⋮ Compressed sensing from a harmonic analysis point of view ⋮ Hard thresholding pursuit algorithms: number of iterations

Cites Work

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• Idempotents and compressive sampling
• Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
• Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
• Stable signal recovery from incomplete and inaccurate measurements

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