一种稳健的混合范数约束的波束综合算法

A Robust Array Pattern Synthesis Algorithm with Mixed Norm Constraint

在阵列信号处理中为抑制噪声和干扰,一般都要求波束有比较低的旁瓣和零陷,同时,需要具有良好的稳健性。为此,提出了一种新的混合范数约束的波束综合算法。该算法运用稀疏表示方法,对波束的主瓣和旁瓣分别使用不同的范数约束,同时对波束的零点和敏感度因子进行约束,用MATLAB(Matrix Laboratory)的凸优化工具包进行求解。仿真实验表明,设计得到的波束具有更低的旁瓣和零陷,最高旁瓣电平约为-28 d B,而最低零陷深度可达-50 d B;算法求解过程简单,与现有算法相比能够容忍较大的幅相误差,具有良好的稳健性;同时,阵列效率与经典算法相比提高了8 d B左右。

In order to suppress noise and interference in array pattern synthesis lower side lobe level( SLL) and nulls are required,during the beamforming robustness of the algorithm is vital simultaneously. This pa-per proposes a new method based on the mixed norm constraint. This algorithm adds different norm con-straint respectively for the main lobe and the side lobe by using the theory of sparse representation,at the same time adds constraint on the nulls and the sensitivity and makes use of the toolkit of the convex optimi-zation in Matrix Laboratory( MATLAB) to find the problemˊs solution. The designed beam pattern has low-er SLL whose value is -28 dB and the value of nulls is -50 dB. The proposed algorithm is easy to get the problem solved and can bear the array errors compared with the general algorithms,so it has a good robust-ness. At the same time the arrayˊs efficiency has been improved 8 dB compared with those of the conven-tional algorithms.