A 2D Nested Array Based DOA Estimator for Incoherently Distributed Sources via Sparse Representation Utilizing L1-Norm
Joint Authors
Wu, Tao
Li, Yiwen
Huang, Yijie
Li, Zhengxin
Xu, Jiwei
Source
International Journal of Antennas and Propagation
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-03
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Nested arrays are sparse arrays composed of subarrays with nonuniform sensor spacing.
Compared with traditional uniform arrays, nested arrays have more degree of freedoms (DOFs) and larger apertures.
In this paper, a nested array has been proposed as well as a direction-of-arrival (DOA) estimation method for two-dimensional (2D) incoherently distributed (ID) sources.
A virtual array is firstly obtained through vectorization of the cross-correlation matrix of subarrays.
Sensor positions of the virtual array and the optimal configuration of the nested array are derived next.
Then rotational invariance relationship for generalized steering matrix of the virtual array with respect to nominal azimuth is deduced.
According to the rotational invariance relationship, sparse representation model under l1-norm constraint is established, which is resolved by transferring the objective function to second-order cone constraints and combining a estimation residual error constraint for receive vector of the virtual array.
Simulations are conducted to investigate the effectiveness of the proposed method in underdetermined situation and examine different experiment factors including SNR, snapshots, and angular spreads as well as sensor number of subarrays.
Results show that the proposed method has better performance than uniform parallel arrays with the same number of sensors.
American Psychological Association (APA)
Wu, Tao& Li, Yiwen& Li, Zhengxin& Huang, Yijie& Xu, Jiwei. 2019. A 2D Nested Array Based DOA Estimator for Incoherently Distributed Sources via Sparse Representation Utilizing L1-Norm. International Journal of Antennas and Propagation،Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1157728
Modern Language Association (MLA)
Wu, Tao…[et al.]. A 2D Nested Array Based DOA Estimator for Incoherently Distributed Sources via Sparse Representation Utilizing L1-Norm. International Journal of Antennas and Propagation No. 2019 (2019), pp.1-11.
https://search.emarefa.net/detail/BIM-1157728
American Medical Association (AMA)
Wu, Tao& Li, Yiwen& Li, Zhengxin& Huang, Yijie& Xu, Jiwei. A 2D Nested Array Based DOA Estimator for Incoherently Distributed Sources via Sparse Representation Utilizing L1-Norm. International Journal of Antennas and Propagation. 2019. Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1157728
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1157728