电子学报 ›› 2013, Vol. 41 ›› Issue (5): 943-948.DOI: 10.3969/j.issn.0372-2112.2013.05.018

• 学术论文 • 上一篇    下一篇

基于凸优化的最小旁瓣恒定束宽时域宽带波束形成

范展, 梁国龙   

  1. 哈尔滨工程大学水声技术重点实验室,黑龙江哈尔滨 150001
  • 收稿日期:2012-09-06 修回日期:2013-01-16 出版日期:2013-05-25
    • 通讯作者:
    • 范 展男,1983年9月出生于湖南省岳阳市.博士研究生,主要从事阵列信号处理、水声目标探测与定位、水声对抗等方面的研究工作. E-mail:fandycore@sina.com
    • 作者简介:
    • 梁国龙 男,1964年11月出生于吉林农安.哈尔滨工程大学教授、博士生导师.总装水声与水声对抗专业组成员、中国声学学会水声学分会委员、声纳技术和水声对抗技术两个国防科技重点实验室学术委员、中国人民解放军91388部队客座教授、中船重工集团公司715所和612厂技术顾问、中国造船学会某分会自导与引信学组成员.长期从事水声信号处理、水声定位和鱼雷自导等方面的研究工作. E-mail:liangguolong@hrbeu.edu.cn
    • 基金资助:
    • 国家自然科学基金 (No.61201411); 中央高校基本科研业务费专项基金 (No.HEUCF120502)

Broadband Beamforming with Minimum Sidelobe and Constant Beamwidth Based on Convex Optimization

FAN Zhan, LIANG Guo-long   

  1. Science and Technology on Underwater Acoustic Laboratory,Harbin Engineering University,Harbin,Heilongjiang150001,China
  • Received:2012-09-06 Revised:2013-01-16 Online:2013-05-25 Published:2013-05-25
    • Supported by:
    • National Natural Science Foundation of China (No.61201411); Fundamental Research Funds for the Central Universities (No.HEUCF120502)

摘要: 提出了基于凸优化的适用于任意结构基阵的最小旁瓣恒定束宽时域宽带波束形成方法.首先将基阵波束响应表达成一组有限脉冲响应(FIR)滤波器权值的线性函数,然后采用基于恒定束宽限制条件的最小旁瓣优化准则设计FIR滤波器权值.同时对滤波器系数进行范数约束以及对干扰方向设置展宽零陷来提高波束形成器的鲁棒性.将期望波束响应的设计过程与实际波束响应的逼近过程融合在一起进行优化搜索,获得了全局最优解.该波束形成器设计问题被转化成凸优化问题求解,仿真结果验证了所提方法的有效性.

关键词: 宽带波束形成, 恒定束宽, 凸优化, 最小旁瓣, 展宽零陷

Abstract: A broadband beamforming algorithm in time-domain with minimum sidelobe and constant beamwidth on convex optimization is proposed.The array response is expressed as a linear function of a set of the finite impulse response(FIR)filter weights.The filter weights are designed in the optimized constraint beamwidth and minimum sidelobes minimizing the sidelobes while guaranteeing the beamwidth invariance.Norm constraint on tap weights and nulls widening constraint in the direction of the interference are also imposed to improve the robustness of the beamformer.The construction process of the desired response and the approaching process of the actual response are combined together to get the global optimal solution.Computationally efficient convex formulation for beamformer design problem is derived.Simulation results demonstrate the satisfactory performance of the proposed algorithm.

Key words: broadband beamforming, constant beamwidth, convex optimization, minimum sidelobe, null widening

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