基于自适应高斯勒让德积分的稳健波束形成算法  

A Robust Beamforming Algorithm Based on Adaptive Gauss Legendre Integration

作　　者：崔琳[1,2] 王博言 薛凯 张元帮 崔赢凯 CUI Lin;WANG Boyan;XUE Kai;ZHANG Yuanbang;CUI Yingkai(School of Electronic Information,Xi an Polytechnic University,Xi an 710048,China;School of Navigation,Northwestern Polytechnical University,Xi an 710048,China)

机构地区：[1]西安工程大学电子信息学院,陕西西安710048 [2]西北工业大学航海学院,陕西西安710072

出　　处：《探测与控制学报》2024年第6期79-85,共7页Journal of Detection & Control

摘　　要：针对协方差矩阵重构过程中计算量大的问题,提出一种基于自适应高斯勒让德积分重构协方差矩阵并且改进导向矢量估计的稳健波束形成算法。首先构造干扰子空间,引入自适应高斯勒让德积分计算干扰子空间得到干扰相关矩阵,然后对干扰相关矩阵进行特征分解求出投影矩阵,并且将接收信号投影到投影矩阵上,求出重构的干扰加噪声协方差矩阵,最后对导向矢量失配进行修正。仿真结果表明,该算法设计出的波束形成器具有较好的应对导向矢量失配、阵元扰动的能力。Aiming at the problem of large computation in the process of covariance matrix reconstruction,a robust beamforming algorithm based on adaptive Gauss Legendre integral was proposed to reconstruct the covariance matrix and improve the guide vector estimation.This algorithm first constructed the interference subspace.Then,it introduces the adaptive Gauss Legendre integral to compute the interference subspace,obtaining the interference correlation matrix.Afterwards,it performed the eigen-decomposition of the interference correlation matrix to acquire the projection matrix,and projected the received signal onto the projection matrix to get the reconstructed interference plus noise covariance matrix.Finally,it corrected for the guiding vector mismatch.The simulation results showed that the beamformer designed by this algorithm had a better ability to cope with the mismatch of guiding vectors and the perturbation of array elements.

关 键 词：自适应高斯勒让德积分 稳健波束形成算法 干扰信号子空间 协方差矩阵重构 最优导向矢量估计 

分 类 号：TN95[电子电信—信号与信息处理]