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题名: Cavity approach to the Sourlas code system
作者: Huang, Haiping ;  Zhou, Haijun
刊名: PHYSICAL REVIEW E
出版日期: 2009
卷号: 80, 期号:5, 页码:-
关键词: ERROR-CORRECTING CODES ;  FINITE-TEMPERATURE ;  SPIN-GLASS ;  STATISTICAL-MECHANICS ;  MATHEMATICAL-THEORY ;  SURVEY PROPAGATION ;  COMMUNICATION ;  MODEL
学科分类: Physics
通讯作者: Huang, HP , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China
部门归属: [Huang, HP; Zhou, HJ] Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China; [Zhou, HJ] Chinese Acad Sci, Inst Theoret Phys, Kavli Inst Theoret Phys China, Beijing 100190, Peoples R China
英文摘要: The statistical physics properties of regular and irregular Sourlas codes are investigated in this paper by the cavity method. At finite temperatures, the free-energy density of these coding systems is derived and compared with the result obtained by the replica method. In the zero-temperature limit, the Shannon's bound is recovered in the case of infinite-body interactions while the code rate is still finite. However, the decoding performance as obtained by the replica theory has not considered the zero-temperature entropic effect. The cavity approach is able to consider the ground-state entropy. It leads to a set of evanescent cavity fields propagation equations which further improve the decoding performance as confirmed by our numerical simulations on single instances. For the irregular Sourlas code, we find that it takes the trade-off between good dynamical property and high performance of decoding. In agreement with the results found from the algorithmic point of view, the decoding exhibits a first-order phase transition as occurs in the regular code system with three-body interactions. The cavity approach for the Sourlas code system can be extended to consider first-step replica symmetry breaking.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000272309700020
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/5217
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Huang, Haiping,Zhou, Haijun. Cavity approach to the Sourlas code system[J]. PHYSICAL REVIEW E,2009,80(5):-.
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