A new strategy of density tapering called the partial density tapering (PDT) accompanied with the algorithm of differential evolution (DE) is proposed to suppress the peak sidelobe level (PSL) of uniform excited concentric ring arrays (UECRA) with isotropic elements. Through performing the PDT, a sound starting solution for DE can be generated. Then, the ring filling factor (RFF) is introduced so that the optimization of the number of elements can be transformed into the optimization of RFFs within the tapered thresholds, and thereby the real coding can be directly used with respect to the consideration of parallel encoding strategy. Finally, the UECRA featuring improved PSL performance can be obtained by limited runs of conventional DE. Several numerical instances for UECRA, with aperture sizes ranging from small to large scale, confirmed the outperformance of the proposed method.

中文翻译：

---

利用部分密度递减策略和微分进化算法合成一致激发同心环形阵列。

提出了一种新的密度递减策略，称为局部密度递减（PDT），并结合了差分演化算法（DE），以抑制具有各向同性元素的均匀激发同心环阵列（UECRA）的峰值旁瓣电平（PSL）。通过执行PDT，可以生成DE的声音启动解决方案。然后，引入环形填充因子（RFF），以便可以将元素数量的优化转换为锥形阈值内的RFF的优化，从而可以在考虑并行编码的情况下直接使用实数编码战略。最后，可以通过常规DE的有限运行来获得具有改善的PSL性能的UECRA。UECRA的几个数值实例，孔径范围从小到大，