存在检测误差的抗跟踪干扰最优跳速设计

跟踪干扰对跳频通信构成严重威胁。首先采用Stackelberg博弈模型对存在检测误差条件下的通信干扰与抗干扰进行建模，在该模型中，存在一个先行者和一个跟随者，其中，通信方作为先行者进行跳频通信，跟踪干扰方作为跟随者检测跳频通信信号并实施干扰。分别推导了通信方的最优跳速，以及干扰方最优检测时间与干扰时间的分配策略，证明了当信噪比小于一定门限时，干扰方的最优干扰策略是盲干扰，通信方的最优抗干扰策略是慢速跳频。最后，对理论分析结果进行了计算机仿真验证，并将所提算法与盲跳频和变速跳频进行了比较，结果表明，所提算法的抗跟踪干扰性能显著优于已有算法。 

Optimal frequency hopping rate for anti-follower jamming with detection error

The follower jamming poses a severe threat to frequency-hopping communication. Firstly, The Stackelberg game model of communication countermeasure with detection error was proposed. There are one leader and one follower in this model, and the communicator who acts as the leader communicates first with a certain frequency-hopping speed, whereas the smart follower jammer acting as the follower detects and jams the communicator subsequently. Secondly, the optimal frequency-hopping speed and the optimal policy of detection time and jamming time were derived. It was proved that, the optimal jamming strategy is blind jamming, and the optimal anti-jamming strategy is slow frequency hopping, when signal to noise rate below certain gate. Finally, the theory results are validated by the simulation results, and the proposed algorithm was compared with the blind frequency-hopping and the frequency-hopping with changing speed. The simulation results illustrate that the anti-follower jamming performance of the proposed algorithm is superior to the existent algorithms.