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Proceedings Paper

Spectral tetris fusion frame constructions
Author(s): Peter G. Casazza; Matthew Fickus; Andreas Heinecke; Yang Wang; Zhengfang Zhou
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Paper 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.

Paper Details

Date Published: 27 September 2011
PDF: 6 pages
Proc. SPIE 8138, Wavelets and Sparsity XIV, 813816 (27 September 2011); doi: 10.1117/12.892708
Show Author Affiliations
Peter G. Casazza, Univ. of Missouri-Columbia (United States)
Matthew Fickus, Air Force Institute of Technology (United States)
Andreas Heinecke, Univ. of Missouri-Columbia (United States)
Yang Wang, Michigan State Univ. (United States)
Zhengfang Zhou, Michigan State Univ. (United States)

Published in SPIE Proceedings Vol. 8138:
Wavelets and Sparsity XIV
Manos Papadakis; Dimitri Van De Ville; Vivek K. Goyal, Editor(s)

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