Abstract
A Grassmannian fusion frame is an optimal configuration of subspaces of a given vector space, that are useful in some applications related to representing data in signal processing. Grassmannian fusion frames are robust against noise and erasures when the signal is reconstructed. In this paper, we present an approach to construct optimal Grassmannian fusion frames based on a given Grassmannian frame. We also analyse an algorithm for sparse fusion frames which was introduced by Calderbank et al. and present necessary and sufficient conditions for the output of that algorithm to be an optimal Grassmannian fusion frame.
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Mohammadpour, M., Kamyabi-Gol, R.A. & Hodtani, G.A. Equichordal Tight Fusion Frames. Indian J Pure Appl Math 51, 889–900 (2020). https://doi.org/10.1007/s13226-020-0439-z
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DOI: https://doi.org/10.1007/s13226-020-0439-z