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  • 标题:The Duals of Fusion Frames for Experimental Data Transmission Coding of High Energy Physics
  • 本地全文:下载
  • 作者:Jinsong Leng ; Qixun Guo ; Tingzhu Huang
  • 期刊名称:Advances in High Energy Physics
  • 印刷版ISSN:1687-7357
  • 电子版ISSN:1687-7365
  • 出版年度:2013
  • 卷号:2013
  • DOI:10.1155/2013/837129
  • 出版社:Hindawi Publishing Corporation
  • 摘要: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.
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