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2026-07-09
Pattern Synthesis for Sparse Linear Arrays by Employing a Partitioning Optimization Strategy Based on Differential Evolution
By
Progress In Electromagnetics Research C, Vol. 171, 458-466, 2026
Abstract
A partition optimization strategy (POS) based on the differential evolution (DE) algorithm is proposed for low sidelobe synthesis of sparse linear arrays (SLAs). The approach starts by dividing the array aperture into a centrally symmetric full zone and several sparse subzones, where elements are fully arranged in the former zone and sparsely populated in other zones. Then, by introducing random parameters, including a full-zone adjustment factor, sparse subzone reduction factors, and sparse subzone filling factors, both the size of the full zone and the array aperture, as well as the total number of elements, could be dynamically adjusted. Next, for each sparse subzone, two random parameters are introduced to generate a nonuniform vector based on the 1D Rastrigin function so that the elements within the current zone are non-uniformly arranged by using the components of the vector. Finally, all the aforementioned parameters were optimized by the DE algorithm to find the SLA with reduced sidelobe level. Numerical simulations demonstrate that this method can reduce the SLAs' sidelobe level by 0.37~4.34 dB along with the decrement of the number of elements by about 0.7%-15.0% compared to the published reports.
Citation
Jinyi Yang, Xin-Kuan Wang, Chenxin Qi, Ping Wang, Lei Wang, Linjun Zhao, and Zhaoxin Xiong, "Pattern Synthesis for Sparse Linear Arrays by Employing a Partitioning Optimization Strategy Based on Differential Evolution," PIER C, Vol. 171, 458-466, 2026.
doi:10.2528/PIERC26041504
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