An Adaptive Lp Norm Minimization Algorithm for Direction of Arrival Estimation
In this paper, we propose a new direction of arrival (DOA) estimation algorithm, in which DOA estimation is achieved by finding the sparsest support set of multiple measurement vectors (MMV) in an over-complete dictionary. The proposed algorithm is based on <inline-formula><math xmlns="...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Remote Sensing |
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| Online Access: | https://www.mdpi.com/2072-4292/14/3/766 |
| _version_ | 1797484953867386880 |
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| author | Lutao Liu Zejing Rao |
| author_facet | Lutao Liu Zejing Rao |
| author_sort | Lutao Liu |
| collection | DOAJ |
| description | In this paper, we propose a new direction of arrival (DOA) estimation algorithm, in which DOA estimation is achieved by finding the sparsest support set of multiple measurement vectors (MMV) in an over-complete dictionary. The proposed algorithm is based on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mo>ℓ</mo><mi>p</mi></msub></semantics></math></inline-formula> norm minimization, which belongs to non-convex optimization. Therefore, the quasi-Newton method is used to converge the iterative process. There are two advantages of this algorithm: one is the higher possibility and resolution of distinguishing closely spaced sources, and the other is the adaptive regularization parameter adjustment. Moreover, an accelerating strategy is applied in the computation, and a weighted method of the proposed algorithm is also introduced to improve the accuracy. We conducted experiments to validate the effectiveness of the proposed algorithm. The performance was compared with several popular DOA estimation algorithms and the Cramer–Rao bound (CRB). |
| first_indexed | 2024-03-09T23:11:52Z |
| format | Article |
| id | doaj.art-89dc801f9e684dc8b097f296db0ae00b |
| institution | Directory Open Access Journal |
| issn | 2072-4292 |
| language | English |
| last_indexed | 2024-03-09T23:11:52Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Remote Sensing |
| spelling | doaj.art-89dc801f9e684dc8b097f296db0ae00b2023-11-23T17:43:09ZengMDPI AGRemote Sensing2072-42922022-02-0114376610.3390/rs14030766An Adaptive Lp Norm Minimization Algorithm for Direction of Arrival EstimationLutao Liu0Zejing Rao1The College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, ChinaThe College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, ChinaIn this paper, we propose a new direction of arrival (DOA) estimation algorithm, in which DOA estimation is achieved by finding the sparsest support set of multiple measurement vectors (MMV) in an over-complete dictionary. The proposed algorithm is based on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mo>ℓ</mo><mi>p</mi></msub></semantics></math></inline-formula> norm minimization, which belongs to non-convex optimization. Therefore, the quasi-Newton method is used to converge the iterative process. There are two advantages of this algorithm: one is the higher possibility and resolution of distinguishing closely spaced sources, and the other is the adaptive regularization parameter adjustment. Moreover, an accelerating strategy is applied in the computation, and a weighted method of the proposed algorithm is also introduced to improve the accuracy. We conducted experiments to validate the effectiveness of the proposed algorithm. The performance was compared with several popular DOA estimation algorithms and the Cramer–Rao bound (CRB).https://www.mdpi.com/2072-4292/14/3/766DOA estimationquasi-Newton methodadaptive regularization parameter |
| spellingShingle | Lutao Liu Zejing Rao An Adaptive Lp Norm Minimization Algorithm for Direction of Arrival Estimation Remote Sensing DOA estimation quasi-Newton method adaptive regularization parameter |
| title | An Adaptive Lp Norm Minimization Algorithm for Direction of Arrival Estimation |
| title_full | An Adaptive Lp Norm Minimization Algorithm for Direction of Arrival Estimation |
| title_fullStr | An Adaptive Lp Norm Minimization Algorithm for Direction of Arrival Estimation |
| title_full_unstemmed | An Adaptive Lp Norm Minimization Algorithm for Direction of Arrival Estimation |
| title_short | An Adaptive Lp Norm Minimization Algorithm for Direction of Arrival Estimation |
| title_sort | adaptive lp norm minimization algorithm for direction of arrival estimation |
| topic | DOA estimation quasi-Newton method adaptive regularization parameter |
| url | https://www.mdpi.com/2072-4292/14/3/766 |
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