基于博弈论的自适应波束成形算法

Adaptive beamforming algorithm based on game theory

针对自适应波束成形算法中用户之间的动态相互干扰,提出了一种基于博弈论的自适应波束成形算法,构建了波束成形博弈算法数学模型。该算法将不同用户的发射权值调整描述为一个多用户的博弈过程,通过数学推导论证了基于博弈论的自适应波束成形算法纳什平衡点的存在性和唯一性,设计了收敛的发射权值更新算法。通过仿真实验验证了算法的性能以及讨论了代价因子、可调参数和收敛精度等参数对算法的影响。

An adaptive beamforming algorithm based on game theory is proposed for dynamic mutual interference among all users in the adaptive beamforming. The beamforming game algorithm mathematics model is constructed. Transmission weights adjustment of different users are described as a multi-users game. The existence and uniqueness of the Nash equilibrium in the adaptive beamforming based on game theory are proved by mathematics derivation. The convergent transmission weights update algorithm is designed. Simulations are conducted to demonstrate the performance of the algorithm and the impact of cost factor, adjustable parameter and convergent precision on the algorithm.