MIMO高斯信道中LDPC编码的统计力学分析
Statistical Mechanics Analysis of LDPC Coding in MIMO Gaussian Channels
摘要：
利用统计力学的分析方法，分析了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。鞍点方程的副本对称的解决方案中发现，在特定的实现该信道，包括一个小的和大量的发射机和接收机。特别是，我们研究的情况下，一个单一的发射机，一个单一的接收机和对称和非对称的干扰信道。从铁磁解决方案的完美解码到非铁磁解决方案的动力学和物理过渡被确定为所考虑的情况下，标记的实际和理论限制的系统下，目前的编码方案。数值结果提供，显示了典型的水平的改善/恶化相对于单一的发射器/接收器的结果，对于各种情况下实现。
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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