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27 September 2011 Non-orthogonal fusion frames
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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.
© (2011) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Jameson Cahill, Peter G. Casazza, and Shidong Li "Non-orthogonal fusion frames", Proc. SPIE 8138, Wavelets and Sparsity XIV, 81380C (27 September 2011); https://doi.org/10.1117/12.892015
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