Radar Target Detection with K-Nearest Neighbor Manifold Filter on Riemannian Manifold
In this paper, we propose a K-nearest neighbor manifold filter on the Riemannian manifold and apply it to signal detection within clutter. In particular, the correlation and power of sample data in each cell are modeled as an Hermitian positive definite (HPD) matrix. A K-nearest neighbor filter that...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2024/9257485 |
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| _version_ | 1832543780252680192 |
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| author | Dongao Zhou Weilong Yang Zhaopeng Liu Manhui Sun |
| author_facet | Dongao Zhou Weilong Yang Zhaopeng Liu Manhui Sun |
| author_sort | Dongao Zhou |
| collection | DOAJ |
| description | In this paper, we propose a K-nearest neighbor manifold filter on the Riemannian manifold and apply it to signal detection within clutter. In particular, the correlation and power of sample data in each cell are modeled as an Hermitian positive definite (HPD) matrix. A K-nearest neighbor filter that performs the weight average of the set of K-nearest neighbor HPD matrices of each HPD matrix is proposed to reduce the clutter power. Then, the clutter covariance matrix is estimated as the Riemannian mean of a set of secondary HPD matrices. Signal detection is considered as distinguishing the matrices of clutter and target signal on the Riemannian manifold. Moreover, to speed up the convergence of matrix equation of Riemannian mean, we exploit a strategy to choose the initial input matrix and step size of this equation. Numerical results show that the proposed detector achieves a detection performance improvement over the conventional detector as well as its state-of-the-art counterpart in nonhomogeneous clutter. |
| format | Article |
| id | doaj-art-7801427c61b94731b00c45bf8509fd61 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-7801427c61b94731b00c45bf8509fd612025-02-03T11:27:57ZengWileyAdvances in Mathematical Physics1687-91392024-01-01202410.1155/2024/9257485Radar Target Detection with K-Nearest Neighbor Manifold Filter on Riemannian ManifoldDongao Zhou0Weilong Yang1Zhaopeng Liu2Manhui Sun3Academy of Military ScienceAcademy of Military ScienceAcademy of Military ScienceAcademy of Military ScienceIn this paper, we propose a K-nearest neighbor manifold filter on the Riemannian manifold and apply it to signal detection within clutter. In particular, the correlation and power of sample data in each cell are modeled as an Hermitian positive definite (HPD) matrix. A K-nearest neighbor filter that performs the weight average of the set of K-nearest neighbor HPD matrices of each HPD matrix is proposed to reduce the clutter power. Then, the clutter covariance matrix is estimated as the Riemannian mean of a set of secondary HPD matrices. Signal detection is considered as distinguishing the matrices of clutter and target signal on the Riemannian manifold. Moreover, to speed up the convergence of matrix equation of Riemannian mean, we exploit a strategy to choose the initial input matrix and step size of this equation. Numerical results show that the proposed detector achieves a detection performance improvement over the conventional detector as well as its state-of-the-art counterpart in nonhomogeneous clutter.http://dx.doi.org/10.1155/2024/9257485 |
| spellingShingle | Dongao Zhou Weilong Yang Zhaopeng Liu Manhui Sun Radar Target Detection with K-Nearest Neighbor Manifold Filter on Riemannian Manifold Advances in Mathematical Physics |
| title | Radar Target Detection with K-Nearest Neighbor Manifold Filter on Riemannian Manifold |
| title_full | Radar Target Detection with K-Nearest Neighbor Manifold Filter on Riemannian Manifold |
| title_fullStr | Radar Target Detection with K-Nearest Neighbor Manifold Filter on Riemannian Manifold |
| title_full_unstemmed | Radar Target Detection with K-Nearest Neighbor Manifold Filter on Riemannian Manifold |
| title_short | Radar Target Detection with K-Nearest Neighbor Manifold Filter on Riemannian Manifold |
| title_sort | radar target detection with k nearest neighbor manifold filter on riemannian manifold |
| url | http://dx.doi.org/10.1155/2024/9257485 |
| work_keys_str_mv | AT dongaozhou radartargetdetectionwithknearestneighbormanifoldfilteronriemannianmanifold AT weilongyang radartargetdetectionwithknearestneighbormanifoldfilteronriemannianmanifold AT zhaopengliu radartargetdetectionwithknearestneighbormanifoldfilteronriemannianmanifold AT manhuisun radartargetdetectionwithknearestneighbormanifoldfilteronriemannianmanifold |