摘要
针对有协作反馈的多输入多输出(MIMO,multiple-input multiple-output)干扰信道,研究了迫零(ZF,zero-forcing)协作发射策略的性能。为了推导和速率(sum rate)与中断概率等性能指标的解析表达式,研究了在MIMO的维数趋向无穷时,各性能指标的渐近特性。利用随机矩阵理论,首次提出了迫零协作发射策略中等效矩阵所有特征值的一个渐近估计。并基于此推导了和速率的2个闭式表达式,同时还获得了和速率随着MIMO维数变化的缩放律。此外,利用多元统计中Wishart矩阵最小特征值概率分布函数的相关结论,推导了2种特例下的上述协作发射策略的中断概率表达式。仿真结果验证了所提的性能指标解析表达式不仅在大维的情况下成立,而且在中等维度下也是有效的。
The performance of the zero-forcing (ZF) coordinated transmit strategy in multiple-input multiple-output (MIMO) interference channels was investigated. With the goal to derive analytical expression of its performance metric such as the sum rate and the outage probability, the asymptotic behavior of the performance metric was examined with the MIMO dimension tending to infinity. Using the random matrix theory, an asymptotic estimate of all the eigenvalues of the effective channel matrix in the ZF coordinated transmit strategy was first proposed. Based on that, two closed-form expressions of the sum rate were derived, from which the scaling law of the sum rate with the MIMO dimension was ob- tained. Furthermore, using the multivariate statistics about the probability density distribution of the minimum eigenvalue of a Wishart matrix, the analytical expression of the outage probability for the coordinated transmit scheme was achieved under two special cases. Simulation results show that the proposed analytical expression of the performance metric is valid not only in the large-dimension regime, but also in the normal-dimension regime.
出处
《通信学报》
EI
CSCD
北大核心
2012年第12期69-78,共10页
Journal on Communications
基金
国家重点基础研究发展计划("973"项目)基金资助项目(2007CB310603)
国家自然科学基金资助项目(60902012
61071113)
国家科技重大专项基金资助项目(2011ZX03003-001
2011ZX03003-003)
教育部博士点基金资助项目(20090092120013
20100092110010)~~
关键词
多输入多输出干扰信道
迫零
协作发射
随机矩阵理论
多元统计
MIMO interference channel
zero forcing
coordinated transmission
random matrix theory
multivariate statistics