非均匀线阵波束方向图优化方法

The Optimization of Beam Patternfor Non-uniform Linear Array

对于非均匀线型阵列,在给定阵元数和阵列孔径的约束条件下,以降低波束方向图峰值旁瓣为目标,进行阵元布阵优化和波束形成权值优化。对于布阵优化,利用多种群并行进化遗传算法,分别采用稀疏栅格编码和实数编码对阵元位置进行优化,方向图峰值旁瓣分别达到-11.8dB和-14dB;利用凸优化方法结合遗传算法对阵元位置和波束形成权值进行联合优化,进一步把方向图旁瓣压低到-16.58dB。仿真实验说明了优化方法的有效性。

When the aperture of array and the number of antenna elements were given,the elements＇ position and the weights of beam formation were optimized to suppress the side lobes of the beam pattern for the non-uniform linear array.The genetic algorithm（GA） with thin lattice code and real number code was used to optimize the element position,the peak side lobe reached to-11.8dB and-14dB respectively.Convex optimization algorithm had been used to get the optimal weights for the beam formation.Combining the GA with convex optimization,the joint optimization for element position and weights was operated and the peak side lobe was suppressed to-16.58dB.Simulations verified the validity of the algorithms.