Probability modelled optimal frames for erasures

DOI10.1016/j.laa.2013.01.020zbMath1280.42027OpenAlexW2089262148MaRDI QIDQ389699

Ting-Zhu Huang, De Guang Han, Jin-Song Leng

Publication date: 21 January 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2013.01.020

zbMATH Keywords

framescodeserasuresParseval frames

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) General theory of (C^*)-algebras (46L05) Dilations, extensions, compressions of linear operators (47A20) General harmonic expansions, frames (42C15) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (14)

New properties of phase-retrievable g-frames and exact phase-retrievable g-frames ⋮ Some equalities and inequalities for probabilistic frames ⋮ Frame scalings: a condition number approach ⋮ A new probabilistic model for optimal frames in erasure's recovery ⋮ A study on the sum of K-frames in n-Hilbert space ⋮ Some properties of exact phase retrievable subspaces ⋮ The duals of fusion frames for experimental data transmission coding of high energy physics ⋮ Stable recovery of signals from frame coefficients with erasures at unknown locations ⋮ Construction of fusion frame systems in finite dimensional Hilbert spaces ⋮ G-frame operator distance problems ⋮ Erasure recovery matrices for encoder protection ⋮ Operator representations of K-frames: boundedness and stability ⋮ On the sum of K-frames in Hilbert spaces ⋮ On \(K\)-frame generators for unitary systems in Hilbert \(C^\ast\)-modules

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