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arXiv 1809.02405cs.ITcs.NImath.IT
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空间相关干扰下MRC的混合算法性能分析

Performance Analysis of MRC under Spatially Correlated Interference using Mixture-based Method

Arindam Ghosh, Harpreet S. Dhillon

摘要:

干扰相关性对无线系统的影响通常通过将干扰源的位置建模为泊松点过程(PPP)来研究。然而,在许多情况下,这种相互关系的复杂性限制了基于购买力平价的方法的分析性。例如,对于干扰感知的$N$天线最大比合并(MRC)接收机,中断概率的解析表达式仅可用于$N=2$。对于$N>2$,使用标准的基于PPP的方法的精确分析变得棘手,因为其中一个必须要么求助于边界或模拟。在这封信中,我们克服了这个问题,并得出MRC中断概率为任意$N$采用基于混合的方法建模的干扰功率的相关性。这种方法提供了一个简单得多的分析结构的相关干扰,从而贷款分析处理,这样的分析。混合参数($q$)基于联合信号干扰比(SIR)统计的匹配来调谐,这导致非常精确的基于混合的结果。这些近似的紧密性进行了验证,使用Monte Carlo模拟。

英文摘要:

Effect of interference correlation on wireless systems is often studied by modeling the locations of interferers as a Poisson Point Process (PPP). However, in many cases, the complicated nature of this correlation limits the analytical tractability of the PPP-based approach. For example, for an interference-aware $N$-antenna Maximum-Ratio Combining (MRC) receiver, the analytical expression for outage probability is available only for $N=2$. For $N>2$, the exact analysis using standard PPP-based approach becomes intractable because of which one has to either resort to bounds or to simulations. In this letter, we overcome this issue and derive the MRC outage probability for an arbitrary $N$ by employing the mixture-based method of modeling the correlation in the interference powers. This method offers a much simpler analytical structure to the correlated interference, thereby lending analytical tractability to such analyses. The mixture parameter ($q$) is tuned based on the matching of joint Signal-to-Interference Ratio (SIR) statistics, which results in a very accurate mixture-based result. The tightness of these approximations is verified using Monte Carlo simulations.

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