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Advances in High Energy PhysicsVolume 2013 2013, Article ID 837129, 9 pages

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

Received 9 August 2013; Accepted 27 August 2013

Academic Editor: Carlo Cattani

Copyright © 2013 Jinsong Leng et al. 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

The experimental data transmission is an important part of high energy physics experiment. In this paper, we connect fusion frames with the experimental data transmission implement of high energy physics. And we research the utilization of fusion frames for data transmission coding which can enhance the transmission efficiency, robust against erasures, and so forth. For this application, we first characterize a class of alternate fusion frames which are duals of a given fusion frame in a Hilbert space. Then, we obtain the matrix representation of the fusion frame operator of a given fusion frame system in a finite-dimensional Hilbert space. By using the matrix representation, we provide an algorithm for constructing the dual fusion frame system with its local dual frames which can be used as data transmission coder in the high energy physics experiments. Finally, we present a simulation example of data coding to show the practicability and validity of our results.





Autor: Jinsong Leng, Qixun Guo, and Tingzhu Huang

Fuente: https://www.hindawi.com/



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