MIMO高斯信道下LDPC编码的统计力学分析

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摘要翻译：
利用统计力学的分析方法，分析了具有二进制输入的多输入多输出(MIMO)高斯信道在LDPC网络编码和联合译码下的典型行为。复对称解的鞍点方程在该信道的具体实现中被发现，包括少量和大量的发射机和接收机。特别地，我们考察了单个发射机、单个接收机以及对称和非对称干扰信道的情况。从完全解码的铁磁解到非铁磁解的动力学和热力学转变都被识别出来，标志着在当前编码方案下系统的实际和理论极限。提供了数值结果，显示了对于各种情况，相对于单个发射机/接收机结果实现的改进/恶化的典型水平。
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英文标题：
《Statistical Mechanics Analysis of LDPC Coding in MIMO Gaussian Channels》
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作者：
Roberto C. Alamino and David Saad (NCRG, Aston University)
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  Using analytical methods of statistical mechanics, we analyse the typical behaviour of a multiple-input multiple-output (MIMO) Gaussian channel with binary inputs under LDPC network coding and joint decoding. The saddle point equations for the replica symmetric solution are found in particular realizations of this channel, including a small and large number of transmitters and receivers. In particular, we examine the cases of a single transmitter, a single receiver and the symmetric and asymmetric interference channels. Both dynamical and thermodynamical transitions from the ferromagnetic solution of perfect decoding to a non-ferromagnetic solution are identified for the cases considered, marking the practical and theoretical limits of the system under the current coding scheme. Numerical results are provided, showing the typical level of improvement/deterioration achieved with respect to the single transmitter/receiver result, for the various cases.
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PDF链接：
https://arxiv.org/pdf/705.1644

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关键词：统计力学 力学分析 IMO MIM Statistical particular solution single 具有 实现