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2014 Construction of Fusion Frame Systems in Finite Dimensional Hilbert Spaces
Jinsong Leng, Tingzhu Huang
Abstr. Appl. Anal. 2014(SI64): 1-9 (2014). DOI: 10.1155/2014/836731


We first investigate the construction of a fusion frame system in a finite-dimensional Hilbert space 𝔽n when its fusion frame operator matrix is given and provides a corresponding algorithm. The matrix representations of its local frame operators and inverse frame operators are naturally obtained. We then study the related properties of the constructed fusion frame systems. Finally, we implement the construction of fusion frame systems which behave optimally for erasures in some special sense in signal transmission.


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Jinsong Leng. Tingzhu Huang. "Construction of Fusion Frame Systems in Finite Dimensional Hilbert Spaces." Abstr. Appl. Anal. 2014 (SI64) 1 - 9, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07023166
MathSciNet: MR3182308
Digital Object Identifier: 10.1155/2014/836731

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI64 • 2014
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