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 in turn is reflected in the efficiency of the inversion of the fusion frame operator SW , which in turn is heavily dependent on the sparsity of SW . We will show that sparsity of ...

In this paper, we introduce fusion frames in Hilbert modules over pro-C*-algebras. Also, we give some useful results about these frames.

Fusion frames are generalizations of classical frames that provide a richer description of signal spaces where subspaces are used in the place of vectors as signal building blocks. The main idea of this work is to extend ideas from Compressed Sensing (CS) to a fusion frame setup. We use a sparsity model for fusion frames and then show that sparse signals under this model can be compressively sa...

Fusion frames, and, more generally, operator-valued frame sequences are generalizations of classical frames, which are today a standard notion when redundant, yet stable sequences are required. However, the question of stability of duals with respect to perturbations has not been satisfactorily answered. In this paper, we quantitatively measure this stability by considering the associated devia...