Statistical Mechanical Study of Code-Division Multiple-Access Multiuser Detectors —Analysis of Replica Symmetric and One-Step Replica Symmetry Breaking Solutions—
Statistical Mechanical Study of Code-Division Multiple-Access Multiuser Detectors —Analysis of Replica Symmetric and One-Step Replica Symmetry Breaking Solutions—
复制标题
码分多址多用户检测器的统计力学研究——复制对称和一步复制对称破缺解分析——
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
M. Okada
中科院分区：
文献类型：
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作者：
Mika Yoshida;T. Uezu;Toshiyuki TANAKA;M. Okada
利用复本方法，用统计力学的方法研究了码分多址多用户检测器的性能评估问题。前面已经分析了副本对称解。众所周知，当温度(噪声量)降低时，副本对称解变得不稳定。在本文中，我们研究了复本对称解在低温区的行为和稳定性。我们发现，在解共存的低温区，解具有复杂的分叉结构。我们还发现存在两种类型的复制对称性破坏，即Almeida-Thouless(AT)-不稳定性和冻结。在每种情况下，我们都得到了副本对称破缺的一步解。进一步，我们将理论计算结果与蒙特卡罗模拟结果进行了比较。结果表明，理论计算结果与数值模拟结果吻合较好。
We study the problem of performance evaluation of code-division multiple-access (CDMA) multiuser detectors by means of statistical mechanics using the replica method. The replica symmetric solutions were analyzed previously. As is well known, the replica symmetric solution becomes unstable when the temperature (magnitude of noise) is lowered. In this paper, we investigate both the behavior and the stability of the replica symmetric solutions in the low temperature region. We find that the solutions have complicated bifurcation structures in the low temperature region where the solutions coexist. We also find that there are two types of replica symmetry breaking, Almeida–Thouless (AT)-instability and freezing. We obtain the one-step replica symmetry breaking solution in each case. Further, we compare the theoretical results with the results from the Monte-Carlo simulations. Consequently, we find that the theoretical results agree with the numerical simulations.