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Proceedings Paper

Perturbations of fusion frames and the effect on their canonical dual
Author(s): Gitta Kutyniok; Victoria Paternostro; Friedrich Philipp
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Paper Abstract

Measurements in real world applications are often corrupted by noise due to exterior influences. It is therefore convenient to investigate perturbations of the utilized measurement systems. In the present paper, we consider small perturbations of fusion frames in Hilbert spaces and study the effect on the canonical duals of original and perturbed fusion frame. It turns out that the duals are stable under these perturbations.

Paper Details

Date Published: 24 August 2015
PDF: 7 pages
Proc. SPIE 9597, Wavelets and Sparsity XVI, 95970S (24 August 2015); doi: 10.1117/12.2187063
Show Author Affiliations
Gitta Kutyniok, Technische Univ. Berlin (Germany)
Victoria Paternostro, Univ. de Buenos Aires (Argentina)
IMAS-CONICET (Argentina)
Friedrich Philipp, Technische Univ. Berlin (Germany)

Published in SPIE Proceedings Vol. 9597:
Wavelets and Sparsity XVI
Manos Papadakis; Vivek K. Goyal; Dimitri Van De Ville, Editor(s)

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