海军航空大学学报2024，Vol.39Issue(5)：515-522,8.DOI:10.7682/j.issn.2097-1427.2024.05.001
无需信源数先验的快速稀疏增强DOA估计方法
Fast Sparse Enhanced DOA Estimation Method Without Source Number Priors
摘要
Abstract
A super-resolution direction of arrival(DOA)estimation method that does not require prior knowledge of the number of signal sources is proposed.The proposed method utilizes a reweighted atomic norm to recharacterize signal sparsity and employs a logarithmic-determinant function to establish a smooth relationship between the atomic norm and the atomic norm.By using a Taylor series expansion,the optimization process is simplified,aiming to solve a new itera-tive reweighted optimization problem,thereby achieving more sparse and accurate results.Based on the enhanced sparse results,the Capon spatial spectrum is reconstructed,allowing accurate DOA estimation without prior knowledge of the number of signal sources.Additionally,a fast optimization procedure based on the primal-dual interior-point method is provided for this special iterative reweighted optimization problem.The unique Toeplitz matrix structure in the problem is efficiently solved using Fast Fourier Transform techniques,improving computational efficiency.Theoretical analysis dem-onstrates that this algorithm offers faster computational efficiency compared to convex optimization tools like CVX and achieves high-precision DOA estimation with fewer snapshots,even when the number of signals is unknown,exhibiting robust performance.Experimental simulations validate the effectiveness of the proposed algorithm.关键词
波达方向估计/连续压缩感知/Toeplitz结构矩阵/快速优化求解Key words
direction of arrival estimation/continuous compressed sensing/matrix with Toeplitz structure/efficient opti-mization solution分类
信息技术与安全科学引用本文复制引用
高一丁,吴敏,郝程鹏,吴永清,王立辉..无需信源数先验的快速稀疏增强DOA估计方法[J].海军航空大学学报,2024,39(5):515-522,8.基金项目
国家自然科学基金(62371446、61971412、62101603、62201623、62071460) （62371446、61971412、62101603、62201623、62071460）
中国科学院青年创新促进会(2023030) （2023030）
