A Sparse Representation Method for Coherent Sources Angle Estimation with Uniform Circular Array
Coherent source localization is a common problem in signal processing. In this paper, a sparse representation method is considered to deal with two-dimensional (2D) direction of arrival (DOA) estimation for coherent sources with a uniform circular array (UCA). Considering that objective function req...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2019/3849791 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561147217182720 |
|---|---|
| author | Xiaolong Su Zhen Liu Tianpeng Liu Bo Peng Xin Chen Xiang Li |
| author_facet | Xiaolong Su Zhen Liu Tianpeng Liu Bo Peng Xin Chen Xiang Li |
| author_sort | Xiaolong Su |
| collection | DOAJ |
| description | Coherent source localization is a common problem in signal processing. In this paper, a sparse representation method is considered to deal with two-dimensional (2D) direction of arrival (DOA) estimation for coherent sources with a uniform circular array (UCA). Considering that objective function requires sparsity in the spatial dimension but does not require sparsity in time, singular value decomposition (SVD) is employed to reduce computational complexity and ℓ2 norm is utilized to renew objective function. After the new objective function is constructed to evaluate residual and sparsity, a second-order cone (SOC) programming is employed to solve convex optimization problem and obtain 2D spatial spectrum. Simulations show that the proposed method can deal with the case of coherent source localization, which has higher resolution than 2D MUSIC method and does not need to estimate the number of coherent sources in advance. |
| format | Article |
| id | doaj-art-612cba9333494cb9b4b35463e8914e26 |
| institution | Kabale University |
| issn | 1687-5869 1687-5877 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Antennas and Propagation |
| spelling | doaj-art-612cba9333494cb9b4b35463e8914e262025-02-03T01:25:51ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772019-01-01201910.1155/2019/38497913849791A Sparse Representation Method for Coherent Sources Angle Estimation with Uniform Circular ArrayXiaolong Su0Zhen Liu1Tianpeng Liu2Bo Peng3Xin Chen4Xiang Li5College of Electronic Science and Technology, National University of Defense Technology, Changsha 410073, ChinaCollege of Electronic Science and Technology, National University of Defense Technology, Changsha 410073, ChinaCollege of Electronic Science and Technology, National University of Defense Technology, Changsha 410073, ChinaCollege of Electronic Science and Technology, National University of Defense Technology, Changsha 410073, ChinaCollege of Electronic Science and Technology, National University of Defense Technology, Changsha 410073, ChinaCollege of Electronic Science and Technology, National University of Defense Technology, Changsha 410073, ChinaCoherent source localization is a common problem in signal processing. In this paper, a sparse representation method is considered to deal with two-dimensional (2D) direction of arrival (DOA) estimation for coherent sources with a uniform circular array (UCA). Considering that objective function requires sparsity in the spatial dimension but does not require sparsity in time, singular value decomposition (SVD) is employed to reduce computational complexity and ℓ2 norm is utilized to renew objective function. After the new objective function is constructed to evaluate residual and sparsity, a second-order cone (SOC) programming is employed to solve convex optimization problem and obtain 2D spatial spectrum. Simulations show that the proposed method can deal with the case of coherent source localization, which has higher resolution than 2D MUSIC method and does not need to estimate the number of coherent sources in advance.http://dx.doi.org/10.1155/2019/3849791 |
| spellingShingle | Xiaolong Su Zhen Liu Tianpeng Liu Bo Peng Xin Chen Xiang Li A Sparse Representation Method for Coherent Sources Angle Estimation with Uniform Circular Array International Journal of Antennas and Propagation |
| title | A Sparse Representation Method for Coherent Sources Angle Estimation with Uniform Circular Array |
| title_full | A Sparse Representation Method for Coherent Sources Angle Estimation with Uniform Circular Array |
| title_fullStr | A Sparse Representation Method for Coherent Sources Angle Estimation with Uniform Circular Array |
| title_full_unstemmed | A Sparse Representation Method for Coherent Sources Angle Estimation with Uniform Circular Array |
| title_short | A Sparse Representation Method for Coherent Sources Angle Estimation with Uniform Circular Array |
| title_sort | sparse representation method for coherent sources angle estimation with uniform circular array |
| url | http://dx.doi.org/10.1155/2019/3849791 |
| work_keys_str_mv | AT xiaolongsu asparserepresentationmethodforcoherentsourcesangleestimationwithuniformcirculararray AT zhenliu asparserepresentationmethodforcoherentsourcesangleestimationwithuniformcirculararray AT tianpengliu asparserepresentationmethodforcoherentsourcesangleestimationwithuniformcirculararray AT bopeng asparserepresentationmethodforcoherentsourcesangleestimationwithuniformcirculararray AT xinchen asparserepresentationmethodforcoherentsourcesangleestimationwithuniformcirculararray AT xiangli asparserepresentationmethodforcoherentsourcesangleestimationwithuniformcirculararray AT xiaolongsu sparserepresentationmethodforcoherentsourcesangleestimationwithuniformcirculararray AT zhenliu sparserepresentationmethodforcoherentsourcesangleestimationwithuniformcirculararray AT tianpengliu sparserepresentationmethodforcoherentsourcesangleestimationwithuniformcirculararray AT bopeng sparserepresentationmethodforcoherentsourcesangleestimationwithuniformcirculararray AT xinchen sparserepresentationmethodforcoherentsourcesangleestimationwithuniformcirculararray AT xiangli sparserepresentationmethodforcoherentsourcesangleestimationwithuniformcirculararray |