Robustness of Fusion Frames under Erasures of Subspaces and of Local Frame Vectors

Fusion frames were recently introduced to model applications under distributed processing requirements. In this paper we study the behavior of fusion frames under erasures of subspaces and of local frame vectors. We derive results on sufficient conditions for a fusion frame to be robust to such erasures as well as results on the design of fusion frames which are optimally robust in the sense of worst case behavior of the reconstruction error.

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