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针对目前二阶统计量加权波束形成存在的能量波束输出有负值和高旁瓣问题,提出了基于协方差矩阵加权的,适用于任意阵结构和阵元指向性传感器阵列的三种优化波束形成方法。一种是设计波束以最小加权均方误差逼近期望波束方法;另一种是旁瓣约束高增益协方差矩阵加权波束形成;第三种是主瓣约束条件下最低旁瓣协方差矩阵加权波束形成。这三种波束优化问题都可以转化为二阶锥约束优化形式,应用已有内点方法求出加权矩阵的数值解。计算机仿真和实验数据处理表明,它们均克服了高旁瓣和波束输出有负值的缺点,获得了不同约束条件下的最佳协方差矩阵加权波束。
In order to solve the problem that there exists negative and high sidelobe energy beam output for the second order statistic weighted beamforming, three optimal beamforming schemes based on covariance matrix weighting are proposed, which are suitable for arbitrary array structure and array directional sensor array. method. One is that the design beam approaches the desired beam with the least weighted mean square error and the other is the side-beam constrained high-gain covariance matrix with weighted beamforming. The third is the lowest side-lobe covariance matrix weighted beamforming with the mainlobe constraint . All these three kinds of beam optimization problems can be transformed into the second-order cone constrained optimization form, and the numerical solution of the weighted matrix is obtained by using the existing interior point method. Computer simulation and experimental data processing show that both of them overcome the shortcomings of high sidelobe and the output of the beam has a negative value, and obtain the optimal covariance matrix weighted beam with different constraints.