圆形口径平面天线阵列的多约束稀布优化方法

An optimum method of sparse plane arrays with circular boundary

针对圆形口径平面稀布阵列的多约束优化设计问题,以均匀同心圆环阵列的阵元位置分布特性为基础,构造了稀布圆阵的满足多个优化约束的可行初始解.提出了一种个体元素的间接表示法,设计了一种新的交叉算子和变异算子,运用改进的实数遗传算法优化设计天线阵的阵元位置.优化约束包括阵元数约束、口径约束和最小阵元间距约束,优化目标是使阵列响应的峰值旁瓣电平最小.运用这种改进实数遗传算法可以充分利用阵元布阵的自由度,同时能减小搜索空间,提高计算效率.仿真试验证实了算法的稳健性和有效性.

To aim at the optimum design problem of sparse circular plane arrays with multiple constraints, the initial feasible solution which meet multiple design constraints can be made based on the position of uniform concentric circular arrays, and let this solution be the thinning chromosome which is presented for the distri- bution characteristic of the element position with circular boundary. An indirect rep- resentation of individual is presented,and a new crossover and mutation operator is designed. The improved genetic algorithm is used for optimization of sparse plane arrays with circular boundary. The multiple design constraints include the number of element, the aperture and the minimum element spacing, and the optimization ob- jective is to make the sparse plane array produce lower peak sidelobe level （PSLL）. A smaller solution space can be searched,the computing efficiency can be improved and the freedom of the element layout can be kept with this improved genetic algo- rithm. Finally, the simulated results confirming the great efficiency and the robust-ness of the new algorithm are shown in this paper.