Coherent Signal DOA Estimation With Coprime Array: Exploiting Signal Subspace Reconstructing Strategy

被引:9
作者
Ma, Penghui [1 ,2 ,3 ]
Li, Jianfeng [1 ,2 ,3 ]
Pan, Jingjing [1 ,2 ,3 ]
Zhang, Xiaofei [1 ,2 ,3 ]
Gil-Pita, Roberto [4 ]
机构
[1] Nanjing Univ Aeronaut & Astronaut, Coll Elect & Informat Engn, Nanjing 211106, Peoples R China
[2] AV Leihua Elect Technol Res Inst, Wuxi 214063, Peoples R China
[3] SongShan Lab, Zhengzhou 450046, Peoples R China
[4] Univ Alcala, Dept Signal Theory & Commun, Madrid 28801, Spain
关键词
DOA; coprime array; coherent signal; signal subspace; singular value decomposition; OF-ARRIVAL ESTIMATION; SOUND SOURCE LOCALIZATION; SPEECH ENHANCEMENT; LINEAR ARRAYS; PERFORMANCE ANALYSIS; ESPRIT; REDUNDANCY; MUSIC;
D O I
10.1109/TASLP.2023.3334482
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
Coprime array possesses a larger array aperture and element spacing compared with the conventional uniform linear array (ULA) for the equivalent number of sensors, attracting considerable scholarly attention. However, the direction of arrival (DOA) estimation of coherent signals has been a major challenge for the practical application of the coprime array. In this paper, based upon the perspective of signal subspace reconstruction, we propose two effective approaches to resolve the DOA of completely correlated signals with a coprime array. For the first method, we exploit two selection matrices to separate the signal subspace into two parts and rearrange the elements within them to construct two Hankel matrices. By applying the MUSIC method to these Hankel matrices and finding common solutions, we can determine the DOA of coherent signals. In the second method, we first convert the signal subspace of the coprime array into the signal subspace of ULA using a mapping matrix and the total least squares method. We then construct a Hankel matrix and restore its rank by solving a rank minimization problem. Finally, by applying the MUSIC method to the rank-restored Hankel matrix, we can obtain the angles of the coherent signals. Finally, simulation results are presented to demonstrate the efficiency and superiority of our proposed methods.
引用
收藏
页码:497 / 508
页数:12
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