基于子空间模型的稀疏贝叶斯DOA估计
Sparse Bayesian DOA Estimation Based on Subspace Model
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摘要: 为了提高相干信源条件下的离格波达方向(direction of arrival,DOA)估计精度,提出一种基于子空间模型的稀疏贝叶斯学习(sparse Bayesian learning,SBL)的DOA估计算法。该算法首先将子空间平滑(subspacesmoothing,SS)技术与加权子空间拟合(weighted subspace fitting,WSF)技术结合,然后将此子空间模型应用于SBL算法,并将离散网格点视为动态参数,用期望最大化(expectation maximization,EM)算法迭代更新网格点位置。与传统稀疏恢复算法相比,该算法在估计误差及计算复杂度上均具有明显优势,并对信源数目的估计误差具有较强的鲁棒性。Abstract: A sparse bayesian learning (SBL) DOA estimation algorithm based on a subspace model is proposed to improve the accuracy of the direction of arrival (DOA) estimation under coherent source conditions. Firstly, the subspace smoothing technique is combined with the weighted subspace fitting technique. This subspace model is then applied to the sparse Bayesian algorithm and the discrete grid points are considered as dynamic parameters and the grid point positions are updated iteratively using the Expectation-Maximization algorithm. Compared with traditional sparse algorithms, the proposed algorithm has significant advantages in terms of root mean square error and computational complexity, and has strong robustness to the estimation error of the number of signal sources.