The duals of fusion frames for experimental data transmission coding of high energy physics
type: Item
instance of: scholarly article
title: The duals of fusion frames for experimental data transmission coding of high energy physics
zbMATH Open document ID: 1328.94042
DOI: 10.1155/2013/837129
author: Qixun Guo
author: Ting-Zhu Huang
author: Jinsong Leng
published in: Advances in High Energy Physics
publication date: 2016-01-15T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 94A29
zbMATH DE Number: 6530750
Wikidata QID: Q58918081
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/837129
OpenAlex ID: W1987942388
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description: scientific article; zbMATH DE number 6530750