基于洛伦兹锥规划的声矢量阵宽容自适应波束形成  

Robust adaptive beamforming of acoustic vector sensor array based on Lorentz Cone Programming

作　　者：梁国龙 刘凯 温韶娟 张瑶 

机构地区：[1]哈尔滨工程大学水声技术国家级重点实验室,哈尔滨150001

出　　处：《声学技术》2011年第1期98-101,共4页Technical Acoustics

基　　金：国家自然科学基金(51009042);高等学校博士学科点专项科研基金(20102304120030);黑龙江省自然科学基金(E201024)

摘　　要：针对矢量阵Capon波束形成对阵列误差尤其敏感这一不足,提出了运用洛伦兹锥规划(LCP,Lorentz Cone Programming)实现导向矢量范数约束来提高波束形成鲁棒性的方法。鉴于矢量水听器声压分量和振速分量对阵列误差敏感程度不同的特点,采用了"双线约束"的策略。将范数约束波束形成转化为LCP形式,通过内点方法求解器SeDuMi求出其数值解。仿真结果表明,该波束形成器的噪声抑制能力要优于常规波束形成器,其宽容性要优于Capon波束形成器。Capon beamformer of acoustic vector sensor array is extremely sensitive to slight array errors, The norm of steering vector is constrained by using Lorentz Cone Programming to improve the robustness. Catering to the characteristic that pressure component and velocity component of an acoustic vector sensor can be influenced in different degrees by array errors, ＂dual-line constraint＂ is adopted. The problem of norm-constraint beamforming can be converted to the form of Lorentz Cone Programming, and solved by interior point method, The result of stimulation proves that noises restraint of the present approach is greater than conventional beamformer and its robustness is better than Capon beamformer.

关 键 词：Capon波束形成 洛伦兹锥规划 范数约束 矢量阵 

分 类 号：TN911.7[电子电信—通信与信息系统]