Superanalysis of the Interference Effect on Adaptive Antenna Systems

Youngmin Jeong, Hyundong Shin, M. Win
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引用次数: 3

Abstract

We analyze the performance of optimum combining in a general cochannel interference environment with thermal noise. Specifically, we consider multiple unequal-power interferers, each is spatially correlated across receiving antennas. We develop a new mathematical methodology to analyze the average symbol error probability (SEP) of optimum combining diversity systems in Rayleigh fading. The analysis resorts to the so-called Berezin's supermathematics that treats both commuting and Grassmann anticommuting variables on an equal footing. This superanalysis framework enables us to derive the exact SEP expression for an arbitrary number of interferers with spatial correlation and possibly different power levels. Our results therefore encompass all the previous analytical results, based on the theory of multivariate statistics relating to complex Wishart matrices, for equal-power and/or spatially-uncorrelated interferers. Connecting the powerful supermathematical framework to the analysis of wireless diversity systems with optimum combining, we quantify the interference effects in terms of the degree of power unbalance and the amount of spatial correlation.
自适应天线系统干扰效应的超分析
分析了在含热噪声的一般共信道干扰环境下的最佳组合性能。具体来说,我们考虑了多个不等功率干扰,每个干扰在接收天线上都是空间相关的。提出了一种新的数学方法来分析瑞利衰落下最优组合分集系统的平均码差概率(SEP)。该分析采用了所谓的Berezin的超级数学,该数学将交换变量和Grassmann反交换变量同等对待。这种超分析框架使我们能够推导出具有空间相关性和可能不同功率水平的任意数量干扰的精确SEP表达式。因此,我们的结果包含了所有先前的分析结果,基于与复杂Wishart矩阵相关的多元统计理论,用于等功率和/或空间不相关的干扰。将强大的超数学框架与最佳组合的无线分集系统分析联系起来,我们根据功率不平衡程度和空间相关量来量化干扰效应。
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