基于多参数二次规划的零陷展宽和旁瓣控制方法

自适应波束形成算法能将零陷自动对准干扰方向,但在干扰源角度抖动等情况下,会使自适应权和数据失配．此外,在快拍数较少的情况下,传统的自适应波束形成方法可能会出现很高的旁瓣．针对上述问题,提出了一种有效的基于多参数二次规划的零陷展宽和旁瓣控制方法．首先,利用锥化矩阵修正采样协方差矩阵展宽干扰源的零陷;然后,用主瓣区域外的多个二次不等式控制旁瓣;最后用多参数二次规划方法求解优化问题．该方法不仅能获得更高的阵列输出增益,而且可以通过实值计算得到最优权向量．仿真结果验证了算法的有效性．

Null Broadening and Sidelobe Control Method Based on Multiparametric Quadratic Programming

The direction-of-arrival of jammer can be aimed at automatically based on the adaptive beamforming algorithm. However, it will be resulted in the mismatch between adaptive weight and data due to the perturbation of the interference location. Besides, the traditional beamformers may have unacceptably high sidelobes when few samples are available. To solve the above problems, an effective approach was presented to broaden null and control sidelobes. Firstly, a tapered covariance matrix was constructed to modify the measured covariance matrix. Secondly, multiple quadratic inequality constraints outside the mainlobe beampattern area were used to control sidelobes. Thirdly, the resulting optimization problem was formulated as a multi-parametric quadratic programming (mp-QP) problem. Simulation results were presented to verify the efficiency of the proposed algorithm, such as it can achieve higher array gain and the optimal weight vector can be easily obtained by real-valued computation.