基于改进多重Toeplitz矩阵重构算法的二维DOA估计  

2D-DOA Estimation Based on Improved Multiple-Toeplitz Matrix Reconstruction Algorithm

作　　者：李佳楠 张骄 LI Jianan;ZHANG Jiao(College of Physics and Electronic Engineering,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学物理电子工程学院,山西太原030006

出　　处：《山西大学学报（自然科学版）》2023年第5期1103-1110,共8页Journal of Shanxi University(Natural Science Edition)

基　　金：山西省高校科技创新项目(2019L0111)。

摘　　要：针对相干信号源在二维波达方向(2-Dimensional Direction-of-arrival,2D-DOA)估计中,多重Toeplitz矩阵重构方法在小信噪比时估计性能较差的问题,文章采用一种基于时空延迟的多重Toeplitz矩阵重构方法进行二维波达方向估计。该方法选用L型阵列结构,首先利用信号在时域和空间域内的强相关性以及噪声的弱相关性构造时空相关矩阵,然后结合多重Toeplitz矩阵重构方法重构时空延迟的多重Toeplitz矩阵达到去相干的目的,最后利用ESPRIT(Estimating Signal Parameter via Rotational Invariance Techniques)方法进行两次特征分解进而通过自动匹配来得到2D-DOA估计结果。通过在Matlab平台仿真,将该算法与多重Toeplitz矩阵重构算法,前后向空间平滑算法,ESPRIT算法以及前后向部分Toeplitz重构算法基于均方根误差(Root Mean Square Error,RMSE)和分辨概率(Probability of Resolution,POR)进行对比分析。结果表明本文提出的算法在相同条件下均方根误差比现有最优方法降低了60%,提高了12%的成功分辨率。Aiming at the problem of poor estimation performance of multiple Toeplitz matrix reconstruction method in two-dimen-sional direction of arrival(2D-DOA)estimation of coherent signal source at low signal-to-noise ratio,the multiple Toeplitz matrix re-construction method based on time-space delay is used for 2D-DOA estimation in this paper.The algorithm uses the L-shaped array structure.Firstly,the time-space correlation matrix is constructed by using the strong correlation of signal in time and space domain and the weak correlation of noise.Then,combined with the multiple Toeplitz matrix reconstruction method,the multiple Toeplitz ma-trix of time-space delay is reconstructed to achieve the purpose of decoherence.Finally,the ESPRIT(estimating signal parameter via rotational invariance techniques)method is used to decompose the features twice,and then the 2D-DOA estimation results are ob-tained through automatic matching.Through simulation on Matlab,the proposed algorithm is compared with multiple Toeplitz ma-trix reconstruction algorithm(MToep),forward and backward spatial smoothing algorithm(FBSS),ESPRIT and forward and back-ward partial Toeplitz reconstruction algorithm(FBPTR)based on RMSE and POR.The results show that the proposed algorithm re-duces the RMSE by 60%and improves the POR by 12%compared with the existing optimal methods under the same conditions.

关 键 词：Toeplitz矩阵重构 时空相关矩阵 相干信号 ESPRIT算法 二维DOA估计 

分 类 号：TN820.1[电子电信—信息与通信工程]