Orthogonal projection decomposition of matrices and construction of fusion frames

DOI10.1007/s10444-011-9241-0zbMath1263.42011OpenAlexW1985700467MaRDI QIDQ1946521

Jin-Song Leng, De Guang Han

Publication date: 15 April 2013

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

Full work available at URL: https://doi.org/10.1007/s10444-011-9241-0

zbMATH Keywords

positive operatorfusion frameserasuresParseval 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) 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 (7)

Probability modelled optimal frames for erasures ⋮ Relay fusion frames and bridging results for fusion frames ⋮ The duals of fusion frames for experimental data transmission coding of high energy physics ⋮ Decomposition of a Hermitian matrix into a sum of fixed number of orthogonal projections ⋮ Construction of fusion frame systems in finite dimensional Hilbert spaces ⋮ A nonstationary accelerating alternating direction method for frame-based Poissonian image deblurring ⋮ ORTHOGONAL ARRAYS CONSTRUCTED BY GENERALIZED KRONECKER PRODUCT

Cites Work

• Unnamed Item
• Unnamed Item
• Constructing tight fusion frames
• Sparse fusion frames: existence and construction
• Frame paths and error bounds for sigma-delta quantization
• Optimal linear transmission by loss-insensitive packet encoding
• Fusion frames and distributed processing
• The structure of minimizers of the frame potential on fusion frames
• Minimizing fusion frame potential
• Grassmannian frames with applications to coding and communication
• Optimal frames for erasures.
• Duality principles in frame theory
• Non-orthogonal fusion frames and the sparsity of fusion frame operators
• Frames, graphs and erasures
• Robust dimension reduction, fusion frames, and Grassmannian packings
• Priority encoding transmission
• Capacity of wireless erasure networks
• Decoherence-Insensitive Quantum Communication by Optimal $C^{\ast }$-Encoding
• New tight frames of curvelets and optimal representations of objects with piecewise C² singularities
• Capacities of Quantum Erasure Channels
• Filter Bank Fusion Frames
• Robustness of fusion frames under erasures of subspaces and of local frame vectors
• Sparse Recovery From Combined Fusion Frame Measurements
• Quantized frame expansions with erasures

This page was built for publication: Orthogonal projection decomposition of matrices and construction of fusion frames