基于最小二乘估计的声矢量阵稳健波束形成

针对存在导向矢量失配和快拍数不足时，声矢量阵标准Capon波束形成器性能急剧下降的问题，提出了一种基于最小二乘估计的声矢量阵稳健波束形成算法。鉴于声矢量阵声压通道和振速通道的导向矢量误差来源不同，分别为声矢量阵声压通道和振速通道设计了广义旁瓣对消器；利用最差性能最优化的思想，将声矢量阵标准Capon波束形成器转化为稳健最小二乘估计问题；利用二阶锥规划求解。仿真分析表明，该算法在抗导向矢量失配、快拍数不足、阵元姿态误差方面均有良好的性能。

Robust Adaptive Beamforming of Acoustic Vector-sensor Array Based on Least Squares Estimation

The performance of Capon beamformer of acoustic vector-sensor array degrades sharply in the presence of array steering vector mismatch. A robust beamforming algorithm based on least squares estimation is proposed to solve this problem. Several generalized sidelobe cancellers are designed for acoustic pressure channel and vibration velocity channel in consideration of the different error sources of their steering vectors.The Capon beamformer of acoustic vector-sensor array is converted to a robust least-squares estimation problem based on the principle of worst-case performance optimization. The second-order cone programing is adopted to obtain the optimal solution. The simulation results show the efficiency of the proposed algorithm in the cases of steering vector mismatch, snapshot deficiency and sensor attitude error.