基于零和竞争理论的雷达网干扰功率分配方法

Distribution Method of Jamming Power to Radar Net Based on Two-person Zero-sum Game

针对雷达网总体最佳干扰的问题,为解决干扰机干扰功率对雷达网中不同雷达的最佳分配问题,提出采用零和竞争理论(TPZS)对干扰功率在各雷达进行分配。通过对干扰矢量、发射矢量等进行扩展的方法,将矢量变换成矩阵,并采用基于互信息理论的TPZS进行计算,可针对不同距离、不同压制系数等情况计算干扰机出对网中各雷达的干扰功率分配,在干扰总功率一定的条件下,将干扰功率合理分配到网中所有雷达上。通过实例仿真说明在大部分情况下,要达到同等有效干扰,对比基于互信息的TPZS干扰功率分配法和采用常规的比例分配法,前者所需干扰总功率远低于后者,网中雷达差异性越大,就越能体现出TPZS方法的优越性。

In order to jam overall radar net best, address the problem that the radar jammer power is allocated optimally to all radars in radar net, a two-person zero-sum game theory （TPZS） was proposed to distribute jamming power to radars. By the expansion of jamming vector, emission vector and other vectors, the vectors were transformed to matrixes. Jammer jams each radar in network by certain powers by calculations with TPZS theory based on mutual information, the power distribution can be calculated in the case of different distances, different suppression coefficient of the radars. Under the condition that the total power of jammer is limited, the jamming power can distributed to the radars in network reasonably. Simulation showed that in most cases the needful jamming power of TPZS is more less than regular proportion method in the condition that the radar net can be jammed effectively. For the jammer, radars in network are different more big,the TPZS method can embodies its superiority more.