天线选择MIMO放大转发中继系统的中断概率分析

Outage Probability Analysis of MIMO AF Relay Systems with Antenna Selection

结合天线选择与波束形成,分析了双跳放大转发MIMO中继系统在Rayleigh衰落信道中的中断概率.在源节点任意数目发射天线、目的节点任意数目接收天线的情形下,通过使用互补累计分布函数和贝塞尔函数,得到端到端中断概率的封闭表达式.采用Maclaurin级数展开的方法,获得一个很紧的中断概率渐进近似,从中可以得到系统分集阶数.理论结果表明,天线数目较少的链路决定了系统的分集增益.给出Monte Carlo仿真结果,与文中给出的解析结果完全吻合.

In this paper, the outage probability of dual-hop Amplify-And-Forward （AF） relay systems with antenna selection and beam-forming is investigated over Rayleigh fading channels. Particularly, closed-form expression is derived for the end-to-end outage probabilities（OP） with arbitrary numbers of transmit antennas at the source and receive antennas at the destination by employing complementary cumulative distribution function and Bessel functions. Asymptotically tight approximations for the OP which provides the details of the diversity order are derived by Maclaurin series expansion. It is demonstrated that the diversity gain is limited by the hop with fewer antennas. Finally, numerical results are presented, which reveal a good match between the analytical results and Monte Carlo simulations.