| 摘要: |
| 二阶锥规划作为凸优化理论的一个分支，近些年来已应用于波束形成的研究，但在已有研究中基于均匀线阵的一维波束形成研究得较多，且较少考虑不同指向下的束宽恒定问题。因此，基于矩形平面阵，将二阶锥规划的一维束宽恒定波束形成方法扩展到二维作为主要研究目标，首先采用Dolph-Chebyshev加权方法设计出二维参考波束，再以主瓣逼近和旁瓣最小为约束，引入二阶锥规划方法设计了支持不同俯仰角和方位角指向的二维波束。经仿真分析，所提方法可实现在三维空间中的不同指向下的波束形成，且在俯仰角设定后，在不同方位指向下可实现3 dB束宽较恒定的波束，减少了指向对波束特性的影响，方便于应用。 |
| 关键词: 阵列信号处理 波束形成 矩形阵列 二阶锥规划 束宽恒定 二维波束 |
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| A 2-D steering-invariant constant beamwidth beamforming algorithm based on second-order cone programming constraints |
| ZHANG Yong,HE Peiyu,LUO Huqin |
| () |
| Abstract: |
| Second-Order Cone Programming(SOCP) is a study branch of convex optimization theory,and has been applied in beamforming field in recent years. Conventionally,the beamforming algorithms based on the SOCP were usually applied on uniform linear array(ULA),and few methods were proposed to consider the steering-invariant constant beamwidth(SICB). Based on planar rectangle array,this paper expands 1-D SICB beamforming to 2-D. Firstly,the expected beam is designed by employing Dolph-Chebyshev weighted method. Next,SOCP is introduced to design the 2-D beam with the constraints of approaching mainlobe of expected beam and minimizing sidelobes. Computer simulations show that 2-D beamforming can be achieved for 3-D space. As the elevation angle is set,the 3 dB beamwidth can be almost constant even with the different azimuths,which reduces the effect of steering on beam and is benefit to application. |
| Key words: array signal processing beamforming planar rectangle array second-order cone programming constant beamwidth 2-D beam |
