Abstract: To deal with the threat of the new generation of electronic warfare, we establish a non-cooperative countermeasure game model to analyze power allocation and interference suppression between multistatic multiple-input multiple-output (MIMO) radars and multiple jammers in this study. First, according to the power allocation strategy, a supermodular power allocation game framework with a fixed weight (FW) vector is constructed. At the same time, a constrained optimization model for maximizing the radar utility function is established. Based on the utility function, the best power allocation strategies for the radars and jammers are obtained. The existence and uniqueness of the Nash equilibrium (NE) of the supermodular game are proved. A supermodular game algorithm with FW is proposed which converges to the NE. In addition, we use adaptive beamforming methods to suppress cross-channel interference that occurs as direct wave interferences between the radars and jammers. A supermodular game algorithm for joint power allocation and beamforming is also proposed. The algorithm can ensure the best power allocation, and also improves the interference suppression ability of the MIMO radar. Finally, the effectiveness and convergence of two algorithms are verified by numerical results.

Key words: Supermodular game; Power allocation; Beamforming; MIMO radar; Multiple jammers

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