In this paper, the end-to-end signal noise ratio (SNR) expression is derived in the multiple antenna two-way amplify-and-forward (AF) relay system using beamforming over non-identically distributed independent Nakagami-m channels. The cumulative distribution function and the probability density function of end-to-end SNR are deduced. Utilizing the accumulative distribution function, the closed expressions of outage probability and average symbol error ratio are derived. The simulation results demonstrate the validity of the theoretical analysis.%基于波束成形的多天线双向放大转发中继系统，基站和用户到中继节点的信道是非一致的独立Nakagami-m信道条件下，通过分别求出端到端的信噪比表达式，继而推导出端到端信噪比的累积分布函数和概率密度函数。利用其累计分布函数，得到系统的中断概率和平均误符号率闭合表达式，仿真结果验证了理论分析的正确性。其平均误符号率的闭合表达式为以后进一步优化该系统提供了理论的支持。
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