One Dimensional High Resolution Range Imaging Method of Stepped Frequency ISAR Based on Atomic Norm Minimization

Mingjiu LÜ; Wenfeng CHEN; Fang XU; Xin ZHAO; Jun YANG

doi:10.11999/JEIT200501

Volume 43 Issue 8

Aug. 2021

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Article Navigation > Journal of Electronics & Information Technology > 2021 > 43(8): 2267-2275

Mingjiu LÜ, Wenfeng CHEN, Fang XU, Xin ZHAO, Jun YANG. One Dimensional High Resolution Range Imaging Method of Stepped Frequency ISAR Based on Atomic Norm Minimization[J]. Journal of Electronics & Information Technology, 2021, 43(8): 2267-2275. doi: 10.11999/JEIT200501

Citation:

Mingjiu LÜ, Wenfeng CHEN, Fang XU, Xin ZHAO, Jun YANG. One Dimensional High Resolution Range Imaging Method of Stepped Frequency ISAR Based on Atomic Norm Minimization[J]. Journal of Electronics & Information Technology, 2021, 43(8): 2267-2275. doi: 10.11999/JEIT200501

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One Dimensional High Resolution Range Imaging Method of Stepped Frequency ISAR Based on Atomic Norm Minimization

doi: 10.11999/JEIT200501

Air Force Early Warning Academy, Wuhan 430019, China

Funds: The National Natural Science Foundation of China (61671469)

Received Date: 2020-06-08
Rev Recd Date: 2020-11-10

Available Online: 2020-12-10

Publish Date: 2021-08-10

Abstract

Abstract

In order to solve the problem that the performance of one-dimensional range profile synthesis performance of Stepped Frequency (SF) ISAR based on the traditional discrete compressed sensing method declines under the condition of off-grid, a high-resolution range profile synthesis method of SF ISAR based on Atomic Norm Minimization (ANM) is proposed. Firstly, a grid free SF ISAR range sparse representation model based on atomic norm is constructed, and the one-dimensional range synthesis problem is transformed into the atomic coefficient and frequency estimation problem. Then, the atomic norm minimization problem is transformed into a semi-positive definite programming problem by using the semi-positive definite property of the atomic norm, and the fast solvers are performed via the alternating direction method of multipliers. Finally, the final one-dimensional high-resolution range profile imaging results are obtained by Vandermonde decomposition. Because the grid discretization is avoided, the high-resolution range profile imaging can be realized under the condition of grid mismatch and low measurement, and the high range resolution can be maintained. Theoretical analysis and simulation experiments verify the effectiveness of the proposed method.
- Inverse Synthetic Aperture Radar (ISAR),
- Atom norm,
- High resolution range profile,
- Stepped Frequency (SF) signal,
- Continuous Compressive Sensing (CCS),
- Off grid

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References(22)

References

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