27 September 2011 Spectral tetris fusion frame constructions
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Abstract
A fusion frame is a collection of subspaces in a Hilbert space, generalizing the idea of a frame for signal representation. A tool to construct fusion frames is the spectral tetris algorithm, a flexible and elementary method to construct unit norm frames with a given frame operator having all of its eigenvalues greater than or equal to two. We discuss how spectral tetris can be used to construct fusion frames with prescribed eigenvalues for its fusion frame operator and with prescribed dimensions for its subspaces.
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Peter G. Casazza, Peter G. Casazza, Matthew Fickus, Matthew Fickus, Andreas Heinecke, Andreas Heinecke, Yang Wang, Yang Wang, Zhengfang Zhou, Zhengfang Zhou, } "Spectral tetris fusion frame constructions", Proc. SPIE 8138, Wavelets and Sparsity XIV, 813816 (27 September 2011); doi: 10.1117/12.892708; https://doi.org/10.1117/12.892708
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