提出基于二阶锥的低频八臂扩展式矢量阵宽带恒定束宽波束形成设计方法.利用矢量传感器组合特点,采用二阶锥方法设计满足稳健性要求的低旁瓣期望波束,然后利用二阶锥设计满足期望波束的宽带恒定束宽波束.较好地解决了波束稳健性、低旁瓣和恒定束宽问题,仿真分析表明,对于基阵位置误差,该宽带波束形成器具备了稳健性、低旁瓣和宽带恒定束宽等特性.%Aim. To our knowledge, there is no paper in the open literature dealing with key technical details in the above-mentioned title; SOCP in the title is the abbreviation for second order cone programming; sections 1,2 and 3 explain what we have explored. The core of section 1 is that we give Fig. 1 to explain the structure of sonar vector sensor array with 8 extended legs and we establish its mathematical model. The core of section 2 consists of: ( 1 )using the SOCP method, we perform the optimal design of the robust beamforming which satisfies the requirements of the low sidelobe; (2) we form the desired beams and analyze the robustness of the sonar vector sensor array we have designed. Section 3 designs the robust broadband constant beamwidth beamforming of the sonar vector sensor array with 8 extended legs, with the design results given in eq. (21). To verify the robustness of the beams thus formed, section 4 simulates the broadband constant beamwidth beamforming; the simulation results, presented in Figs. 6 and 7, and their analysis show preliminarily that, with array position errors, the broadband constant beam-width beamforming we have designed possesses the three properties of robustness, low level of sidelobe and constant beamwidth.
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