Equichordal Tight Fusion Frames

Mozhgan Mohammadpour (), Rajab Ali Kamyabi-Gol () and Ghosheh Abed Hodtani ()
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Mozhgan Mohammadpour: Ferdowsi University of Mashhad
Rajab Ali Kamyabi-Gol: Ferdowsi University of Mashhad, Center of Excellence in Analysis on Algebraic Structures (CEAAS)
Ghosheh Abed Hodtani: Ferdowsi University of Mashhad

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 3, 889-900

Abstract: 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.

Keywords: Grassmannian frame; fusion frame; chordal distance; optimal Grassmannian fusion frame; 42C15; 41A58 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0439-z

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