Statistical mechanics analysis of LDPC coding in MIMO Gaussian channels
Statistical mechanics analysis of LDPC coding in MIMO Gaussian channels
复制标题
MIMO高斯信道LDPC编码的统计力学分析
DOI：
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发表时间：
2007
期刊：
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通讯作者：
D. Saad
中科院分区：
文献类型：
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作者：
R. Alamino;D. Saad
使用统计力学的分析方法，我们分析了多输入多出输出（MIMO）高斯通道的典型行为，其二进制输入在低密度奇迹检查（LDPC）网络编码和关节解码下。在该通道特别实现中，发现了复制品对称解的鞍点方程，包括少量和大量的发射器和接收器。特别是，我们检查了单个发射器，单个接收器以及对称和不对称干扰的情况。对于所考虑的案例，确定了从完美解码到非铁磁解的动力学和热力学转变，标志着当前编码方案下系统的实际和理论限制。提供了数值结果，显示了各种情况下，相对于单个发射器/接收器结果实现的典型改进/恶化水平。
Using analytical methods of statistical mechanics, we analyse the typical behaviour of a multiple-input multiple-output (MIMO) Gaussian channel with binary inputs under low-density parity-check (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 symmetric and asymmetric interference. 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.