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An interesting question about the perturbed sequences is: when do theyinherit the properties of the original one? An elegant relation between frames(fusion frames) and their perturbations is the relation of their redundancies.  In this paper, we investigate these relationships. Also, we express theredundancy of frames (fusion frames) in terms of the cosine angle between somesubspaces.

The Effect of Perturbations of Frames and Fusion Frames on Their Redundancies