雷达科学与技术
雷達科學與技術
뢰체과학여기술
RADAR SCIENCE AND TECHNOLOGY
2014年
3期
333-337
,共5页
协方差估计%导向矢量修正%稳健波束形成%二次约束二阶规划
協方差估計%導嚮矢量脩正%穩健波束形成%二次約束二階規劃
협방차고계%도향시량수정%은건파속형성%이차약속이계규화
covariance matrix estimation%steering vector estimation%robust beamforming%quadratical-ly constrainted quadratic programming(QCQP)
指出了水平定向天线阵波束形成的主要难点,没有固定相位中心和受交叉极化来波的影响。阵列受随机性误差使得导向矢量存在较大失配,从而导致传统 Capon算法性能下降甚至失效。在阵列误差模型下,给出了基于协方差矩阵与导向矢量联合修正的稳健 Capon波束形成算法。该算法首先基于收缩得到一个增强的协方差矩阵,然后通过最大化 Capon输出功率实现对导向矢量的修正,同时增加二次型约束防止修正的导向矢量接近于干扰导向矢量上。该算法可转化为二次约束二阶规划问题,并通过凸优化进行求解。仿真结果表明,该算法对天线阵模型中误差矩阵具有一定的稳健性,且较其他稳健算法具有较好的性能。
指齣瞭水平定嚮天線陣波束形成的主要難點,沒有固定相位中心和受交扠極化來波的影響。陣列受隨機性誤差使得導嚮矢量存在較大失配,從而導緻傳統 Capon算法性能下降甚至失效。在陣列誤差模型下,給齣瞭基于協方差矩陣與導嚮矢量聯閤脩正的穩健 Capon波束形成算法。該算法首先基于收縮得到一箇增彊的協方差矩陣,然後通過最大化 Capon輸齣功率實現對導嚮矢量的脩正,同時增加二次型約束防止脩正的導嚮矢量接近于榦擾導嚮矢量上。該算法可轉化為二次約束二階規劃問題,併通過凸優化進行求解。倣真結果錶明,該算法對天線陣模型中誤差矩陣具有一定的穩健性,且較其他穩健算法具有較好的性能。
지출료수평정향천선진파속형성적주요난점,몰유고정상위중심화수교차겁화래파적영향。진렬수수궤성오차사득도향시량존재교대실배,종이도치전통 Capon산법성능하강심지실효。재진렬오차모형하,급출료기우협방차구진여도향시량연합수정적은건 Capon파속형성산법。해산법수선기우수축득도일개증강적협방차구진,연후통과최대화 Capon수출공솔실현대도향시량적수정,동시증가이차형약속방지수정적도향시량접근우간우도향시량상。해산법가전화위이차약속이계규화문제,병통과철우화진행구해。방진결과표명,해산법대천선진모형중오차구진구유일정적은건성,차교기타은건산법구유교호적성능。
The main difficulties of the directional antenna array beamforming are pointed out,that is, there is no fixed phase center and there is influence of cross-polarized wave.The random error causes a large steering vector mismatch,resulting in the traditional Capon algorithm performance degradation or even inva-lidity.A robust Capon beamforming algorithm based on joint estimation covariance and steering vector is proposed under the array error model.It obtains an enhanced covariance matrix based on the shrinkage meth-od firstly,and then achieves steering vector by maximizing the Capon output power,while adding a quadratic constraint to prevent the modified steering vector from closing to the interference.The algorithm can be transformed into the quadratically constrainted quadratic programming(QCQP)problem,which can be solved by convex optimization.Simulation results show that the algorithm has certain robustness for antenna array model error,and has better performance compared with other robust algorithms.