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Proceedings Paper

Constructions and existence of tight fusion frames
Author(s): Peter G. Casazza; Matthew Fickus; Dustin G. Mixon; Yang Wang; Zhengfang Zhou
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Paper Abstract

Fusion frames are an emerging topic of frame theory, with applications to communications and distributed processing. However, until recently, little was known about the existence of tight fusion frames, much less how to construct them. We discuss a new method for constructing tight fusion frames which is akin to playing Tetris with the spectrum of the frame operator. When combined with some easily obtained necessary conditions, these Spectral Tetris constructions provide a near complete characterization of the existence of tight fusion frames.

Paper Details

Date Published: 3 September 2009
PDF: 10 pages
Proc. SPIE 7446, Wavelets XIII, 744613 (3 September 2009); doi: 10.1117/12.825645
Show Author Affiliations
Peter G. Casazza, Univ. of Missouri, Columbia (United States)
Matthew Fickus, Air Force Institute of Technology (United States)
Dustin G. Mixon, Princeton Univ. (United States)
Yang Wang, Michigan State Univ. (United States)
Zhengfang Zhou, Michigan State Univ. (United States)

Published in SPIE Proceedings Vol. 7446:
Wavelets XIII
Vivek K. Goyal; Manos Papadakis; Dimitri Van De Ville, Editor(s)

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