title: A Novel 2-D Coherent DOA Estimation Method Based on Dimension Reduction Sparse Reconstruction for Orthogonal Arrays.
abstract: Based on sparse representations, the problem of two-dimensional (2-D) direction of arrival (DOA) estimation is addressed in this paper. A novel sparse 2-D DOA estimation method, called Dimension Reduction Sparse Reconstruction (DRSR), is proposed with pairing by Spatial Spectrum Reconstruction of Sub-Dictionary (SSRSD). By utilizing the angle decoupling method, which transforms a 2-D estimation into two independent one-dimensional (1-D) estimations, the high computational complexity induced by a large 2-D redundant dictionary is greatly reduced. Furthermore, a new angle matching scheme, SSRSD, which is less sensitive to the sparse reconstruction error with higher pair-matching probability, is introduced. The proposed method can be applied to any type of orthogonal array without requirement of a large number of snapshots and a priori knowledge of the number of signals. The theoretical analyses and simulation results show that the DRSR-SSRSD method performs well for coherent signals, which performance approaches Cramer-Rao bound (CRB), even under a single snapshot and low signal-to-noise ratio (SNR) condition.
authors.affiliation: School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin 150001, China. xiuhongwang@hit.edu.cn.|School of Information and Electrical Engineering, Harbin Institute of Technology (Weihai), Weihai 264209, China. xiuhongwang@hit.edu.cn.
authors.forename: Xiuhong
authors.initials: X
authors.lastname: Wang
authors.affiliation: School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin 150001, China. mxp@hit.edu.cn.|Collaborative Innovation Center of Information Sensing and Understanding at Harbin Institute of Technology, Harbin 150001, China. mxp@hit.edu.cn.
authors.forename: Xingpeng
authors.initials: X
authors.lastname: Mao
authors.affiliation: School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin 150001, China. wym.fio@gmail.com.|First Institute of Oceanography, SOA, Qingdao 266061, China. wym.fio@gmail.com.
authors.forename: Yiming
authors.initials: Y
authors.lastname: Wang
authors.affiliation: School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin 150001, China. ntzhang@hit.edu.cn.|Collaborative Innovation Center of Information Sensing and Understanding at Harbin Institute of Technology, Harbin 150001, China. ntzhang@hit.edu.cn.
authors.forename: Naitong
authors.initials: N
authors.lastname: Zhang
authors.affiliation: School of Information and Electrical Engineering, Harbin Institute of Technology (Weihai), Weihai 264209, China. libo1983@hit.edu.cn.
authors.forename: Bo
authors.initials: B
authors.lastname: Li
keywords: coherent sources; dimension reduction sparse reconstruction; direction of arrival (DOA); redundant sub-dictionary; two-dimensional (2-D) DOA estimation