平面六边形稀疏阵列天线的优化

针对标准的差分进化算法只能处理连续空间的优化问题，提出了一种基于取整策略的差分进化算法。该方法只需要对优化变量进行四舍五入取整，就能够把标准差分进化算法用于稀疏阵列天线方向图优化。将取整策略的差分进化算法应用到六边形平面稀疏天线阵的布阵设计。为了计算六边形阵列天线的方向图，提出在口径中添加虚拟单元的计算模型，把六边形阵列转化为可以实现二维快速傅里叶变换的矩形阵列。以改善阵列峰值副瓣电平为目的进行仿真试验，结果表明，优化后的稀疏天线阵峰值旁瓣电平与采用遗传算法相比改善了4.5~5.1 dB，且具有计算速度快、稳定性好的优点。

Optimization of planar hexagonal thinned array antenna

For the problem that the standard differential evolution(DE) can only be suited for the continuous optimization,a rounding strategy DE is proposed for the discrete optimization problem. The method can deal with the optimization design of thinned array antenna by taking rounding the parameters vector. Then the proposed method is applied to design a low side lobe hexagonal planar thinned array. Virtual elements are added into the array aperture for translating the hexagonal array to rectangular,and a fast Fourier transform is employed to speed up the calculation of hexagonal array factor. The simulation results show that the peak sidelode level of the hexagonal thinned array using the proposed method is reduced by 4.5~5.1 dB than that of the thinned array using genetic algorithm,and also the method has the advantage of high computation speed and stability.