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arXiv 0909.3382cs.ITcond-mat.dis-nncond-mat.stat-mechmath.IT
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MIMO无线通信Kronecker信道模型的统计力学分析

Statistical mechanical analysis of the Kronecker channel model for MIMO wireless communication

Atsushi Hatabu, Koujin Takeda, Yoshiyuki Kabashima

摘要:

利用统计力学方法分析了无线通信的克罗内克信道模型。在该模型中,发射/接收天线之间的空间邻近性被考虑为某些相关矩阵,这通常会产生非平凡的依赖符号之间进行估计。这防止了通过天真地使用先前开发的基于矩阵积分公式的分析方案来准确评估通信性能。为了解决这个困难,我们开发了一个形式主义,可以正式处理的相关性在克罗内克模型的基础上已知的计划。不幸的是,直接应用的开发计划,在一般情况下,实际上是困难的。然而,形式主义仍然是有用的,这表明相关性的影响一般增加后的四阶相关强度。因此,当相关强度足够小时,已知的分析方案在性能评估中提供了良好的近似。对于一类特定的相关性,我们表明,性能分析可以映射到随机场中的一维自旋系统的问题,这可以调查,而无需近似的置信传播算法。

英文摘要:

The Kronecker channel model of wireless communication is analyzed using statistical mechanics methods. In the model, spatial proximities among transmission/reception antennas are taken into account as certain correlation matrices, which generally yield non-trivial dependence among symbols to be estimated. This prevents accurate assessment of the communication performance by naively using a previously developed analytical scheme based on a matrix integration formula. In order to resolve this difficulty, we develop a formalism that can formally handle the correlations in Kronecker models based on the known scheme. Unfortunately, direct application of the developed scheme is, in general, practically difficult. However, the formalism is still useful, indicating that the effect of the correlations generally increase after the fourth order with respect to correlation strength. Therefore, the known analytical scheme offers a good approximation in performance evaluation when the correlation strength is sufficiently small. For a class of specific correlation, we show that the performance analysis can be mapped to the problem of one-dimensional spin systems in random fields, which can be investigated without approximation by the belief propagation algorithm.

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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