Multi-criteria radar waveform design based on game theory

In complex battlefield environments, regarding the issues of weak anti-jamming capability, poor environmental adaptability, and resultant performance imbalance in radar waveforms designed based on single criterion, a radar waveform design method under game conditions that combines multiple criteria is proposed. Firstly, a game model between radar and jammer is formulated. Then, the signal-to-interference-plus-noise ratio(SINR), mutual information(MI) and minimum mean square error(MMSE) are integrated through weighted fusion. Based on this fusion function, corresponding waveform strategies for radar and jamming are designed respectively. Next, the maximum marginal reallocation(MMR) algorithm is used to solve the game model. After multiple iterations, the game model converges, and the optimal radar and jamming waveforms are finally obtained. Simulation experiments show that, compared with the game model based on a single criterion, the proposed method increases the signal-to interference-plus-noise ratio by 5.42% and the detection probability of the radar by 3.99%. This design improves the radar's detection performance and detection and recognition performance, verifying the effectiveness of the proposed method.