Direction-of-Arrival Estimation of Coherent Signals via Coprime Array Interpolation

• Published in: IEEE signal processing letters Vol. 27; pp. 585 - 589
• Main Authors: Zheng, Zhi, Huang, Yixiao, Wang, Wen-Qin, So, Hing Cheung
• Format: Journal Article
• Language: English
• Published: New York IEEE 2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Coherence; coherent signals; Computer simulation; coprime array; Covariance matrices; Direction of arrival; Direction-of-arrival (DOA) estimation; Direction-of-arrival estimation; Estimation; interpolated ULA; Interpolation; Linear arrays; Matrices (mathematics); Sensor arrays; Signal processing algorithms; Toeplitz matrix
• ISSN: 1070-9908; 1558-2361
• DOI: 10.1109/LSP.2020.2982769

In this letter, we devise an efficient approach for estimating the directions-of-arrival (DOAs) of coherent signals using coprime arrays. Specifically, we firstly derive an augmented uniform linear array (ULA) via coprime array interpolation. Subsequently, we define a Toeplitz matrix that is formed using the correlation information of the interpolated ULA theoretical outputs, and recover the Toeplitz matrix by solving a nuclear norm minimization problem. After the low-rank Toeplitz matrix is recovered, the coherent signals are well resolved by the MUSIC algorithm. Simulation results demonstrate the advantages of the proposed approach over various existing methods when dealing with coherent signals.