针对阵列误差下传统自适应数字波束形成方法导致波束形成器输出性能下降的问题,提出一种基于二阶锥规划的稳健自适应宽带恒定束宽数字波束形成方法。 首先,基于空间响应变化约束设计恒定束宽的波束形成器;然后,根据阵列实际导向矢量和理想导向矢量之间的误差二范数优化幅度不等式约束下的最小输出功率;最后,通过变量的重新定义利用二阶锥规划求解优化模型。 数值仿真结果表明:所提方法能够解决阵列误差下宽带数字波束形成的稳健性问题;同时,能够以较低的计算复杂度获得较高的阵列输出信干噪比。

In order to solve the problem of the output performance degradation of the traditional beamformer caused by traditional adaptive beamforming method in the presence of array error, a robust adaptive wideband constant beamwidth digital beamforming method based on second-order cone programming is proposed. Firstly, a beamformer with constant beamwidth is designed based on the constraint of spatial response variation. Secondly, the minimum output power under the constraint of amplitude inequality is optimized according to the 2-norm error between the array actual steering vector and the ideal steering vector. Finally, the optimization model is solved by second-order cone programming through the redefinition of variables. Numerical simulation results show that the proposed method can solve the robustness problem of wideband digital beamforming to against array error, and can obtain higher array output signal to interference plus noise ratio with lower computational complexity.

TN957.51