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arXiv cs/0503063cs.ITmath.IT
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随机分布的CDMA:统计物理学中的渐近性

Randomly Spread CDMA: Asymptotics via Statistical Physics

Dongning Guo, Sergio Verdu

摘要:

本文利用统计物理学中的复制方法研究了大系统极限下的随机扩频码分多址(CDMA)和多用户检测。任意输入分布和平坦衰落。一个通用的多用户检测器的后验均值估计的形式应用前单用户解码。通用检测器可以具体化为匹配滤波器、解相关器、线性MMSE检测器、联合或单独最佳检测器等。据发现,每个用户的检测输出,虽然在一般渐近非高斯条件下的传输符号,收敛的用户数到无穷大的一个确定性的函数的“隐藏”高斯统计独立的干扰。因此,多用户信道可以解耦:每个用户体验等效的单用户高斯信道,其信噪比遭受由于多址干扰的退化。未编码的错误性能(例如,符号错误率)和互信息,然后可以使用退化因子来完全表征,退化因子也称为多用户效率,其可以通过求解本文中识别的一对耦合的固定点方程来获得。基于一般的线性矢量信道模型,结果也适用于MIMO信道,如在多天线系统。

英文摘要:

This paper studies randomly spread code-division multiple access (CDMA) and multiuser detection in the large-system limit using the replica method developed in statistical physics. Arbitrary input distributions and flat fading are considered. A generic multiuser detector in the form of the posterior mean estimator is applied before single-user decoding. The generic detector can be particularized to the matched filter, decorrelator, linear MMSE detector, the jointly or the individually optimal detector, and others. It is found that the detection output for each user, although in general asymptotically non-Gaussian conditioned on the transmitted symbol, converges as the number of users go to infinity to a deterministic function of a "hidden" Gaussian statistic independent of the interferers. Thus the multiuser channel can be decoupled: Each user experiences an equivalent single-user Gaussian channel, whose signal-to-noise ratio suffers a degradation due to the multiple-access interference. The uncoded error performance (e.g., symbol-error-rate) and the mutual information can then be fully characterized using the degradation factor, also known as the multiuser efficiency, which can be obtained by solving a pair of coupled fixed-point equations identified in this paper. Based on a general linear vector channel model, the results are also applicable to MIMO channels such as in multiantenna systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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