零点约束的MIMO雷达最小二乘误差方向图合成

摘要

For multi-input multi-output(MIMO) radars, grating lobes appear in the transmitting pattern when the spacing between transmitting antennas and that between receiving antennas are related with some particular values. In this case, high sidelobes occur in the synthetic pattern obtained by multiplying the transmitting pattern with the receiving pattern. This paper analyzes the cause of high sidelobes mathematically, and proposes a novel algorithm that can synthesize a least square error (LSE) receiving pattern with nulls to suppress high sidelobes for MIMO radar. The optimum weighting with nulls is obtained with the Lagrange multiplier method. The LSE receiving pattern is synthesized to solve the high sidelobe problem. Simulation results verify that high sidelobes in the synthesized pattern can effectively be suppressed using the obtained weightings.%对于MIMO雷达,当发射和接收天线间距满足特定值时,发射方向图中会出现栅瓣,导致合成的方向图中出现高旁瓣.文中从数学角度分析了旁瓣产生的原因,提出一种零点约束的最小二乘方向图合成方法以抑制旁瓣.该方法由拉格朗日乘子方法得到具有零点约束的最优加权,然后合成最小二乘误差接收方向图来解决高旁瓣问题.仿真结果表明,合成的方向图中高旁瓣能被有效抑制.