基于最大输出SINR波束形成的最优稀疏阵列设计

Optimal Sparse Array Design Based on Maximum Output SINR Beamforming

传统自适应波束形成仅通过优化阵列激励权值来提高波束形成性能,忽略了阵元位置对其性能的影响。为进一步提高自适应波束形成的性能,提出一种新的自适应波束形成算法,旨在一定阵元个数及阵列孔径下,联合优化阵元激励和位置以使得输出信干噪比(SINR)最大。首先分析推导在最小无失真方差响应(MVDR)准则下阵元位置和阵列输出SINR之间的关系,其次建立阵元位置和阵列输出SINR的函数关系式,并将其转化为二元整型优化问题,最后利用一种改进的遗传蜂群算法对模型进行求解。阵列排布决定波束形成的性能上限,相比传统波束形成,在优化阵元激励权值基础上对阵元位置进行优化,进一步提高自适应波束形成的性能,减少硬件开销。仿真结果也验证所提算法的有效性。

While traditional adaptive beamforming improves the beamforming performance by optimizing the excitation of array, it ignores the influence of array element position. To further improve the performance of adaptive beamforming, a new adaptive beamforming algorithm is proposed, which jointly optimizes the excitation and position of array elements to maximize the output signal to interference noise ratio(SINR) with a certain number of array elements and array aperture. This paper analyzes and deduces the relationship between the array element positions and the array output SINR with the minimum variance distortionless response(MVDR) criterion. Besides, the functional relationship between array element positions and output SINR is established, which is transformed into a binary integer optimization problem, and an improved genetic bee colony algorithm is used to solve the model. The array configuration determines the upper limit of beamforming performance. Compared with traditional beamforming, this paper optimizes the position of array elements on the basis of optimizing the excitation weight of array elements, which further improves the performance of adaptive beamforming and reduces the hardware overhead. The simulation results also verify the effectiveness of this algorithm.