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arXiv 1502.05516cs.ITmath.IT
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Rayleigh乘积信道中断容量的自由概率方法

Outage Capacity of Rayleigh Product Channels: a Free Probability Approach

Zhong Zheng, Lu Wei, Roland Speicher, Ralf Müller, Jyri Hämäläinen, Jukka Corander

摘要:

瑞利乘积信道模型是有用的,在捕捉性能下降,由于秩亏的MIMO信道。在本文中,这样的性能下降的影响,通过信道中断概率假设慢变信道延迟约束解码。利用自由概率理论的技巧,导出了当信道矩阵维数趋于无穷大时,信道容量的渐近方差。在这个渐近制度,信道容量被严格证明是高斯分布。利用所得结果,瑞利乘积信道的复用增益和分集增益之间的一个基本的折衷,其特征在于在任何有限的信号-噪声比的封闭形式的表达式。数值结果提供了比较瑞利乘积信道和传统的瑞利MIMO信道之间的相对中断性能。

英文摘要:

The Rayleigh product channel model is useful in capturing the performance degradation due to rank deficiency of MIMO channels. In this paper, such a performance degradation is investigated via the channel outage probability assuming slowly varying channel with delay-constrained decoding. Using techniques of free probability theory, the asymptotic variance of channel capacity is derived when the dimensions of the channel matrices approach infinity. In this asymptotic regime, the channel capacity is rigorously proven to be Gaussian distributed. Using the obtained results, a fundamental tradeoff between multiplexing gain and diversity gain of Rayleigh product channels can be characterized by closed-form expression at any finite signal-to-noise ratio. Numerical results are provided to compare the relative outage performance between Rayleigh product channels and conventional Rayleigh MIMO channels.

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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