中文摘要：

在双向信息非对称条件下，研究了基于模拟网络编码的双向中继信道中的最优功率分配问题。分别给出了中断概率最小化、和速率最大化意义下的最优功率分配闭式数学表达式，并证明了两种约束下最优功率分配问题的统一性。分析表明：现有的基于模拟网络编码的双向中继信道中的最优功率分配方法是本文提出方法在某些条件下的特例。计算机仿真分析证明了提出的最优功率分配方法在中断概率和和速率性能方面均优于平均功率分配方法。

英文摘要：

In this paper,the optimal power allocation problem of two-way relay channel （TWRC）system with analog network coding （ANC）is discussed with asymmetric transmission requirements.The paper provides the closed-form expressions for optimum power allocation in terms of minimum outage probability and maximum sum-rate respectively.It also shows that the two types of optimum power allocation schemes are exactly the same.The analysis indicates that some existing optimal power allocation schemes of TWRC with ANC are special cases of the proposed scheme.Moreover,simulation results show that the achievable outage probability and sum-rate performance of the proposed unified optimum power allocation scheme outperforms that of the uniform power allocation scheme.