Multiuser Detection and Statistical Mechanics
Multiuser Detection and Statistical Mechanics
复制标题
多用户检测和统计机制
DOI：
10.1007/978-1-4757-3789-9_13
复制
发表时间：
2003
期刊：
影响因子：
--
通讯作者：
S. Verdú
中科院分区：
文献类型：
--
作者：
Dongning Guo;S. Verdú
本文提出了一种基于统计力学的多用户检测器分析框架。一个多用户检测器被证明是相当于一个条件的平均估计，发现一个所谓的贝叶斯retrochannel的随机输出的平均值。贝叶斯逆信道等价于自旋玻璃，因为它的随机输出的分布以接收到的信号为条件，恰好是自旋玻璃在热平衡时的分布。在大系统极限下，多用户检测器的性能与自旋玻璃的某种宏观性质相对应，这可以使用统计力学中开发的强大工具来解决。特别地，解决了匹配滤波器、MMSE检测器、解相关器和最佳检测器的大系统未编码比特错误率，以及高斯CDMA信道的频谱效率。多用户检测的一个普遍的解释涉及多用户效率的条件均值估计输出的均方误差在多用户限制。
A framework for analyzing multiuser detectors in the context of statistical mechanics is presented. A multiuser detector is shown to be equivalent to a conditional mean estimator which finds the mean value of the stochastic output of a so-called Bayes retrochannel. The Bayes retrochannel is equivalent to a spin glass in the sense that the distribution of its stochastic output conditioned on the received signal is exactly the distribution of the spin glass at thermal equilibrium. In the large-system limit, the performance of the multiuser detector finds its counterpart as a certain macroscopic property of the spin glass, which can be solved using powerful tools developed in statistical mechanics. In particular, the large-system uncoded bit-error-rate of the matched filter, the MMSE detector, the decorrelator and the optimal detectors is solved, as well as the spectral efficiency of the Gaussian CDMA channel. A universal interpretation of multiuser detection relates the multiuser efficiency to the mean-square error of the conditional mean estimator output in the many-user limit.