Two-dimensional DOA estimation algorithm with co-prime array via sparse representation
A two-dimensional (2D) direction-of-arrival estimation algorithm is proposed with the co-prime array based on the sparse representation framework. By constructing a cross-correlation matrix of the received signals, the array aperture is extended and the 2D angle information is separated into two ind...
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          | Published in | Electronics letters Vol. 51; no. 25; pp. 2084 - 2086 | 
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| Main Authors | , , , | 
| Format | Journal Article | 
| Language | English | 
| Published | 
            The Institution of Engineering and Technology
    
        10.12.2015
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| Subjects | |
| Online Access | Get full text | 
| ISSN | 0013-5194 1350-911X 1350-911X  | 
| DOI | 10.1049/el.2015.0293 | 
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| Abstract | A two-dimensional (2D) direction-of-arrival estimation algorithm is proposed with the co-prime array based on the sparse representation framework. By constructing a cross-correlation matrix of the received signals, the array aperture is extended and the 2D angle information is separated into two independent parts. Then, a procedure of sparse signal representation and least square are used to estimate and pair the 2D angles successively and automatically. Without the prior knowledge of the signal number, the proposed algorithm provides more precise angle estimation. Simulation experiments verify the effectiveness of the proposed algorithm. | 
    
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| AbstractList | A two‐dimensional (2D) direction‐of‐arrival estimation algorithm is proposed with the co‐prime array based on the sparse representation framework. By constructing a cross‐correlation matrix of the received signals, the array aperture is extended and the 2D angle information is separated into two independent parts. Then, a procedure of sparse signal representation and least square are used to estimate and pair the 2D angles successively and automatically. Without the prior knowledge of the signal number, the proposed algorithm provides more precise angle estimation. Simulation experiments verify the effectiveness of the proposed algorithm. | 
    
| Author | Li, Hui Zhao, Yongbo Shui, Penglang Cheng, Zengfei  | 
    
| Author_xml | – sequence: 1 givenname: Zengfei surname: Cheng fullname: Cheng, Zengfei email: zfcheng@stu.xidian.edu.cn organization: National Lab of Radar Signal Processing, Xidian University, Xi'an 710071, People's Republic of China – sequence: 2 givenname: Yongbo surname: Zhao fullname: Zhao, Yongbo organization: National Lab of Radar Signal Processing, Xidian University, Xi'an 710071, People's Republic of China – sequence: 3 givenname: Hui surname: Li fullname: Li, Hui organization: National Lab of Radar Signal Processing, Xidian University, Xi'an 710071, People's Republic of China – sequence: 4 givenname: Penglang surname: Shui fullname: Shui, Penglang organization: National Lab of Radar Signal Processing, Xidian University, Xi'an 710071, People's Republic of China  | 
    
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| Keywords | least squares approximations two-dimensional DOA estimation algorithm direction-of-arrival estimation 2D angle information signal representation matrix algebra coprime array cross-correlation matrix least square procedure sparse signal representation 2D direction-of-arrival estimation algorithm array aperture array signal processing  | 
    
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| References | Xia, T.; Zheng, Y.; Wan, Q. (C3) 2007; 55 Qin, S.; Zhang, Y.D.; Amin, M.G. (C6) 2015; 63 Zoltowski, M.D.; Haardt, M.; Mathews, C.P. (C1) 1996; 44 Vaidyanathan, P.P.; Pal, P. (C4) 2011; 59 Zhao, T.; Eldar, Y.C.; Nehorai, A. (C5) 2014; 62 2014; 62 2007; 55 2015; 63 2011; 59 1989 1996; 44 e_1_2_6_2_1 Yin Q.Y. (e_1_2_6_3_1) 1989 e_1_2_6_5_1 e_1_2_6_4_1 e_1_2_6_7_1 e_1_2_6_6_1  | 
    
| References_xml | – volume: 62 start-page: 5565 issue: 21 year: 2014 end-page: 5576 ident: C5 article-title: Direction of arrival estimation using co-prime arrays: a super resolution viewpoint publication-title: IEEE Trans. Signal Process. – volume: 63 start-page: 1377 issue: 5 year: 2015 end-page: 1390 ident: C6 article-title: Generalized coprime array configuration for direction-of-arrival estimation publication-title: IEEE Trans. Signal Process. – volume: 59 start-page: 573 issue: 2 year: 2011 end-page: 586 ident: C4 article-title: Sparse sensing with co-prime samplers and arrays publication-title: IEEE Trans. Signal Process. – volume: 44 start-page: 316 issue: 2 year: 1996 end-page: 328 ident: C1 article-title: Closed-form 2-D angle estimation with rectangular arrays in element space or beamspace via unitary ESPRIT publication-title: IEEE Trans. Signal Process. – volume: 55 start-page: 2627 issue: 9 year: 2007 end-page: 2632 ident: C3 article-title: Decoupled estimation of 2-D angles of arrival using two parallel uniform linear arrays publication-title: IEEE Trans. Antennas Propag. – volume: 55 start-page: 2627 issue: 9 year: 2007 end-page: 2632 article-title: Decoupled estimation of 2‐D angles of arrival using two parallel uniform linear arrays publication-title: IEEE Trans. Antennas Propag. – volume: 59 start-page: 573 issue: 2 year: 2011 end-page: 586 article-title: Sparse sensing with co‐prime samplers and arrays publication-title: IEEE Trans. Signal Process. – volume: 63 start-page: 1377 issue: 5 year: 2015 end-page: 1390 article-title: Generalized coprime array configuration for direction‐of‐arrival estimation publication-title: IEEE Trans. Signal Process. – start-page: 2803 year: 1989 end-page: 2806 – volume: 44 start-page: 316 issue: 2 year: 1996 end-page: 328 article-title: Closed‐form 2‐D angle estimation with rectangular arrays in element space or beamspace via unitary ESPRIT publication-title: IEEE Trans. Signal Process. – volume: 62 start-page: 5565 issue: 21 year: 2014 end-page: 5576 article-title: Direction of arrival estimation using co‐prime arrays: a super resolution viewpoint publication-title: IEEE Trans. Signal Process. – ident: e_1_2_6_6_1 doi: 10.1109/TSP.2014.2354316 – ident: e_1_2_6_7_1 doi: 10.1109/TSP.2015.2393838 – start-page: 2803 volume-title: Estimating 2‐D angles of arrival via two parallel linear arrays year: 1989 ident: e_1_2_6_3_1 – ident: e_1_2_6_5_1 doi: 10.1109/TSP.2010.2089682 – ident: e_1_2_6_4_1 doi: 10.1109/TAP.2007.904143 – ident: e_1_2_6_2_1 doi: 10.1109/78.485927  | 
    
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| Snippet | A two-dimensional (2D) direction-of-arrival estimation algorithm is proposed with the co-prime array based on the sparse representation framework. By... A two‐dimensional (2D) direction‐of‐arrival estimation algorithm is proposed with the co‐prime array based on the sparse representation framework. By...  | 
    
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| SubjectTerms | 2D angle information 2D direction‐of‐arrival estimation algorithm Algorithms Antennas and propagation array aperture array signal processing Arrays Computer simulation Construction coprime array cross‐correlation matrix direction‐of‐arrival estimation Estimates least square procedure least squares approximations Least squares method matrix algebra Representations signal representation sparse signal representation Two dimensional two‐dimensional DOA estimation algorithm  | 
    
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| Title | Two-dimensional DOA estimation algorithm with co-prime array via sparse representation | 
    
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