Convergence analysis of performance-measure expressions for MIMO ZF under Rician fading

C. Siriteanu, A. Takemura, S. Blostein, S. Kuriki, Hyundong Shin
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引用次数: 3

Abstract

The performance of multiple-input/multiple-output (MIMO) communications systems employing spatial multiplexing and zero-forcing detection (ZF) has yet to be analyzed for several cases of practically-relevant Rician fading. For the special case of Rician-Rayleigh fading, we have recently derived a set of expressions for important MIMO ZF performance measures. They were obtained from the moment generating function of the signal-to-noise ratio (SNR) expressed in terms of the confluent hypergeometric function, i.e., an infinite-series. Herein, the prove the convergence of the ensuing infinite-series expressions obtained for the SNR probability density function, as well as for the ZF outage probability, average error probability, and ergodic capacity. For the ergodic-capacity infinite-series, we describe a computation method and discuss its numerical instability issues.
MIMO ZF性能测度表达式的收敛性分析
采用空间复用和零强迫检测(ZF)的多输入/多输出(MIMO)通信系统的性能尚未对实际相关的几种情况进行分析。对于ririan - rayleigh衰落的特殊情况,我们最近导出了一组重要的MIMO ZF性能度量表达式。它们是从信噪比(SNR)的矩生成函数中得到的,信噪比(SNR)用合流超几何函数表示,即无穷级数。在此,证明了随后得到的信噪比概率密度函数、ZF中断概率、平均误差概率和遍历容量的无穷级数表达式的收敛性。对于遍历容量无穷级数,给出了一种计算方法,并讨论了其数值不稳定性问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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