Non-orthogonal fusion frames

Jameson Cahill; Peter G. Casazza; Shidong Li

doi:10.1117/12.892015

27 September 2011 Non-orthogonal fusion frames

Jameson Cahill, Peter G. Casazza, Shidong Li

Proceedings Volume 8138, Wavelets and Sparsity XIV; 81380C (2011) https://doi.org/10.1117/12.892015
Event: SPIE Optical Engineering + Applications, 2011, San Diego, California, United States

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.

Citation Download Citation

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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