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Proceedings Paper

Non-orthogonal fusion frames
Author(s): Jameson Cahill; Peter G. Casazza; Shidong Li
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Paper Abstract

Fusion frames have become a major tool in the implementation of distributed systems. The effectiveness of fusion frame applications in distributed systems is reflected in the efficiency of the end fusion process. This requires the inversion of the fusion frame operator which is difficult or impossible in practice. What we want is for the fusion frame operator to be the identity. But in most applications, especially to sensor networks, this almost never occurs. We will solve this problem by introducing the notion of non-orthogonal fusion frames which have the property that in most cases we can turn a family of subspaces of a Hilbert space into a non-orthogonal fusion frame which has a fusion frame operator which is the identity.

Paper Details

Date Published: 27 September 2011
PDF: 7 pages
Proc. SPIE 8138, Wavelets and Sparsity XIV, 81380C (27 September 2011); doi: 10.1117/12.892015
Show Author Affiliations
Jameson Cahill, Univ. of Missouri-Columbia (United States)
Peter G. Casazza, Univ. of Missouri-Columbia (United States)
Shidong Li, San Francisco 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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