针对球冠阵稀布优化问题的粒子群与凸优化改进算法

Sparse Optimization of Hemispherical Array Antenna Based on Pso and Convex Optimization

摘要:

针对低轨天基卫星互联网侦察系统中全空域实时侦收的需求,常采用球冠天线阵接收的方案以达到多目标全空域同时侦收的目的。为避免阵列接收中常见的栅瓣问题,且要求同时获得较窄的波束宽度,相控阵常采用均匀分布间隔布阵的方式,但这就导致阵元数目急剧增加,因此需要对球冠阵接收体制进行稀布优化研究。基于此,本文采用一种将粒子群与线性规划凸优化理论相结合的优化算法,新方法充分利用粒子群算法全局搜索能力强的优点,并结合凸优化算法局部最优即是全局最优的特点,将阵元权值与位置作为联合变量进行优化,从而提升稀布阵列的性能。理论分析和仿真试验验证了该方法在实现稀布效果最优的同时且可以有效降低旁瓣电平、保证高增益性能。

Abstract:

In view of the urgent need for real-time detection of the whole airspace in the low-orbit space-based satellite Internet reconnaissance system, the spherical crown antenna array receiving scheme is often used to achieve the purpose of simultaneous detection of multiple targets and all airspace. In order to avoid the common grating lobe problem in array reception and to obtain a narrow beamwidth at the same time, the evenly distributed spaced array arrangement is often used in phased array reception, but this will lead to a sharp increase in the number of array elements, so it is necessary to study the sparse distribution optimization of the spherical crown array receiving system. Based on this, this paper proposes an optimization algorithm that combines particle swarm with linear programming convex optimization theory, which makes full use of the advantages of the strong global search ability of particle swarm optimization algorithm, and combines the characteristics of the convex optimization algorithm that the local optimal is the global optimum, and optimizes the weight and position of array elements as joint variables, so as to improve the performance of sparse arrays. Theoretical analysis and simulation experiments show that the proposed method can effectively reduce the sidelobe level and ensure high gain performance while achieving the optimal thinning effect.