Processing of sparse signals and mutual coherence of ``measurable vectors

DOI10.1134/S1995080220040174zbMath1450.42017OpenAlexW3045851040MaRDI QIDQ2206667

S. Ya. Novikov

Publication date: 28 October 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080220040174

zbMATH Keywords

matricessignalsoperatorframeorthogonal projectioncompressed sensingWelch boundequiangularfull sparkmeasurable vectorsphase retrival

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15)

Related Items (2)

Equiangular tight frames with simplices and with full spark in \(\mathbb{R}^d\) ⋮ On sparse approximations of solutions to linear systems with orthogonal matrices

Uses Software

• PDCO

Cites Work

• A generalization of Gram-Schmidt orthogonalization generating all Parseval frames
• Grassmannian frames with applications to coding and communication
• A note on the description of frames of general form
• Full spark frames
• Bessel sequences as projections of orthogonal systems
• On signal reconstruction without phase
• Equiangular lines
• Lower bounds on the maximum cross correlation of signals (Corresp.)
• DIAMETERS OF SOME FINITE-DIMENSIONAL SETS AND CLASSES OF SMOOTH FUNCTIONS
• Atomic Decomposition by Basis Pursuit
• A generalized uncertainty principle and sparse representation in pairs of bases
• Optimally sparse representation in general (nonorthogonal) dictionaries via ℓ ¹ minimization
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