ABSTRACT In order to realize the beamforming and suppress the side lobe of the sparse antenna array, a hybrid sparse antenna array optimization algorithm based on orthogonal perturbation method (OPM) and convex (CVX) optimization is proposed. The algorithm aims at the expected beam response of main lobe and the suppression of peak side lobe level (PSLL). The OPM is used to optimize the array layout, and it can improve the time performance of pattern synthesis with its deterministic numerical characteristic. Because it is a local optimization algorithm, its optimal effect depends on the initial array layout and element excitation coefficient. Therefore, considering that the local optimal solution of the CVX algorithm is the global optimal solution, the CVX algorithm is used to obtain the optimal element excitation coefficient to achieve the expected beam response of the main lobe. The simulation results show that the hybrid algorithm can achieve a good trade-off between the optimization time, beam response, and the suppression of the PSLL.

中文翻译：

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稀疏天线阵列波束成形正交微扰法与凸优化混合算法

摘要 为了实现稀疏天线阵列的波束成形和抑制旁瓣，提出了一种基于正交微扰法（OPM）和凸（CVX）优化的混合稀疏天线阵列优化算法。该算法针对主瓣的预期波束响应和峰值旁瓣电平（PSLL）的抑制。OPM用于优化阵列布局，其确定性的数值特性可以提高模式合成的时间性能。由于是局部优化算法，其最优效果取决于初始阵列布局和单元激励系数。因此，考虑到CVX算法的局部最优解是全局最优解，CVX算法用于获得最优的单元激励系数，以实现预期的主瓣波束响应。仿真结果表明，混合算法可以在优化时间、波束响应和 PSLL 抑制之间取得良好的平衡。