Spectral tetris fusion frame constructions

DOI10.1007/s00041-012-9225-6zbMath1257.42042arXiv1108.4061OpenAlexW2061094666MaRDI QIDQ692616

Andreas Heinecke, Matthew Fickus, Yang Wang, Zhengfang Zhou, Peter G. Casazza

Publication date: 6 December 2012

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4061

zbMATH Keywords

framesfusion framesspectral tetris

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)

Related Items (11)

The construction of \(G\)-invariant finite tight frames ⋮ Frame scalings: a condition number approach ⋮ Representations of frames via iterative actions of operators in tensor product spaces ⋮ Necessary and sufficient conditions to perform spectral tetris ⋮ Non-orthogonal fusion frames and the sparsity of fusion frame operators ⋮ Gradient Flows for Probabilistic Frame Potentials in the Wasserstein Space ⋮ Weighted fusion frame construction via spectral tetris ⋮ Tetris tight frames construction via Hadamard matrices ⋮ Moving finite unit norm tight frames for \(S^{n}\) ⋮ The Fundamentals of Spectral Tetris Frame Constructions ⋮ Mini-workshop: Algebraic, geometric, and combinatorial methods in frame theory. Abstracts from the mini-workshop held September 30 -- October 6, 2018

Cites Work

• Constructing tight fusion frames
• Sparse fusion frames: existence and construction
• Optimal linear transmission by loss-insensitive packet encoding
• Fusion frames and distributed processing
• The structure of minimizers of the frame potential on fusion frames
• Necessary and sufficient conditions to perform spectral tetris
• Constructing finite frames of a given spectrum and set of lengths
• Robust dimension reduction, fusion frames, and Grassmannian packings
• Robustness of fusion frames under erasures of subspaces and of local frame vectors
• Optimally Sparse Frames
• Unnamed Item

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