Sparse fusion frames: existence and construction

DOI10.1007/s10444-010-9162-3zbMath1264.94042arXiv0906.5606OpenAlexW2005791426WikidataQ101951540 ScholiaQ101951540MaRDI QIDQ647422

Ali Pezeshki, Peter G. Casazza, Gitta Kutyniok, Andreas Heinecke, Robert Calderbank

Publication date: 23 November 2011

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.5606

zbMATH Keywords

Hilbert spacessignal processingself-adjoint operatorssparsityfusion frameshierarchical data processing

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15) Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) (aspects in computer science) (68P30) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (max. 100)

Cross-Frame Potential ⋮ Random fusion frames are nearly equiangular and tight ⋮ The construction of \(G\)-invariant finite tight frames ⋮ Fusion Frames and the Restricted Isometry Property ⋮ Frame scalings: a condition number approach ⋮ Sparsity and spectral properties of dual frames ⋮ Necessary and sufficient conditions to perform spectral tetris ⋮ Non-orthogonal fusion frames and the sparsity of fusion frame operators ⋮ The duals of fusion frames for experimental data transmission coding of high energy physics ⋮ Orthogonal projection decomposition of matrices and construction of fusion frames ⋮ A note on perturbations of fusion frames ⋮ Numerically erasure-robust frames ⋮ Decomposition of a Hermitian matrix into a sum of fixed number of orthogonal projections ⋮ Prime tight frames ⋮ Weighted fusion frame construction via spectral tetris ⋮ Equichordal tight fusion frames ⋮ Manifold matching: joint optimization of fidelity and commensurability ⋮ Optimal frame completions ⋮ Tight \(p\)-fusion frames ⋮ Spectral tetris fusion frame constructions ⋮ A quantitative notion of redundancy for finite frames ⋮ Every Hilbert space frame has a Naimark complement ⋮ Sparse matrices in frame theory ⋮ The Fundamentals of Spectral Tetris Frame Constructions ⋮ Compare and contrast between duals of fusion and discrete frames

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