摘要
针对当前已经提出的二次不等式约束(QIC)条件下的线性约束最小功率(LCMP)波束形成算法,提出了利用Lagrange乘数方法进行有效的求解,解决了该波束形成问题的最优加权矢量求解问题,而且对约束参数的选择进行了分析,给出了选取的依据和范围.但是,由于二次等式约束(QEC)远远强于二次不等式约束(QIC),因此,相对于QICLCMP波束形成算法,二次等式约束(QEC)条件下的LCMP波束形成算法具有更加优越的稳健性.所以又提出了QECLCMP波束形成算法并进行了有效的求解.最后的仿真分析验证了本文所提出算法的正确性和有效性,并且表明在等式模约束条件下的LCMP波束形成算法具有更好的性能来克服信号方向失配,即最优的负加载具有更加优越的稳健性.
The Lagrange multiplier methed is proposed to solve the current proposed adaptive linearly constrainted minimum power（LCMP） beamformer under quadratic inequality constraint（QIC）,the problem of finding the optimal weighting vector is solved,and the choice of the quadratic constraint parameter is analyzed and the selecting bound is given.Since the quadratic equality constraint（QEC） is stronger than the quadratic inequality constraint（QIC）,the LCMP beamformer under quadratic equality constraint（QEC） has more ascendant robust performance than QICLCMP.Hence,the QECLCMP beamformer is proposed and is solved effectively.Numerical examples attest the correctness and the validity of the proposed algorithm,and show that the LCMP under the equality norm constraint has the best performance to overcome the signal direction mismatch,namely the optimal negative loading has the preferable robustness.
出处
《电子学报》
EI
CAS
CSCD
北大核心
2010年第9期1990-1996,共7页
Acta Electronica Sinica
基金
国家杰出青年基金(No.60825014)
国家自然科学基金(No.60736009)
博士后基金(No.20090451252)
陕西省工业攻关(No.2009K08-31)
中央高校基本科研业务费专项资金资助(No.JY10000902025)
关键词
稳健自适应波束形成
线性约束最小功率波束形成器
二次模约束
对角加载
负加载
robust adaptive beamforming
linearly constrained minimum power beamformer
quadratic norm constraint
diagonal loading
negative loading
