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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 836731, 9 pages
http://dx.doi.org/10.1155/2014/836731
Research Article

Construction of Fusion Frame Systems in Finite Dimensional Hilbert Spaces

School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 610054, China

Received 26 November 2013; Accepted 25 January 2014; Published 12 March 2014

Academic Editor: Carlo Cattani

Copyright © 2014 Jinsong Leng and Tingzhu Huang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We first investigate the construction of a fusion frame system in a finite-dimensional Hilbert space 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.