Matrix Completion-based Range-Doppler Spectrum Estimation for Random Stepped-frequency Radars
Random Stepped Frequency (RSF) radars can achieve high-range resolution with relatively low hardware complexity by synthesizing a wide bandwidth. Moreover, because of the random frequency agility of each pulse, the radars possess robust anti-interference and electromagnetic compatibility capabilitie...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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China Science Publishing & Media Ltd. (CSPM)
2024-02-01
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| Series: | Leida xuebao |
| Subjects: | |
| Online Access: | https://radars.ac.cn/cn/article/doi/10.12000/JR23176 |
| _version_ | 1797354300642426880 |
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| author | Xueyao HU Can LIANG Shanshan LU Zaiyang WANG Le ZHENG Yang LI |
| author_facet | Xueyao HU Can LIANG Shanshan LU Zaiyang WANG Le ZHENG Yang LI |
| author_sort | Xueyao HU |
| collection | DOAJ |
| description | Random Stepped Frequency (RSF) radars can achieve high-range resolution with relatively low hardware complexity by synthesizing a wide bandwidth. Moreover, because of the random frequency agility of each pulse, the radars possess robust anti-interference and electromagnetic compatibility capabilities, rendering them invaluable for high-precision detection in complex electromagnetic environments. However, the inherent sparsity sensing of the radar waveform in the time-frequency domain, causes a lack of echo coherence information, leading to an underdetermined estimation of the traditional matched filter, which results in fluctuating high side lobes in the estimation spectrum and adversely deteriorating detection performance. This paper proposes a sparse recovery method based on Hankel matrix completion for the high-resolution range-Doppler spectrum of the RSF radars. Using the low-rank matrix completion concept, this method fills in the missing samples caused by sparse sensing for RSF radars, thereby restoring continuous coherence information and effectively addressing the underdetermined estimation issue. First, an undersampled data matrix of a single coarse-resolution range for RSF radar is constructed. Subsequently, the time-frequency data matrix is reconstructed into a double Hankel form, and its low-rank prior characteristics are analyzed and proven. Finally, the Alternating Direction Method of Multipliers (ADMM) algorithm is applied to restore the unsampled time-frequency data, ensuring sparse recovery of the high-resolution range-Doppler spectrum with low sidelobes. Simulations and real tests demonstrate the effectiveness and superiority of the proposed method. |
| first_indexed | 2024-03-08T13:48:24Z |
| format | Article |
| id | doaj.art-7da9df65a59740e198d2b6eb086a0129 |
| institution | Directory Open Access Journal |
| issn | 2095-283X |
| language | English |
| last_indexed | 2024-03-08T13:48:24Z |
| publishDate | 2024-02-01 |
| publisher | China Science Publishing & Media Ltd. (CSPM) |
| record_format | Article |
| series | Leida xuebao |
| spelling | doaj.art-7da9df65a59740e198d2b6eb086a01292024-01-16T07:27:40ZengChina Science Publishing & Media Ltd. (CSPM)Leida xuebao2095-283X2024-02-0113120021410.12000/JR23176R23176Matrix Completion-based Range-Doppler Spectrum Estimation for Random Stepped-frequency RadarsXueyao HU0Can LIANG1Shanshan LU2Zaiyang WANG3Le ZHENG4Yang LI5Radar Research Lab, School of Information and Electronics, Beijing Institute Technology, Beijing 100081, ChinaRadar Research Lab, School of Information and Electronics, Beijing Institute Technology, Beijing 100081, ChinaXi’an Electronic Engineering Research Institute, Xi’an 710100, ChinaRadar Research Lab, School of Information and Electronics, Beijing Institute Technology, Beijing 100081, ChinaRadar Research Lab, School of Information and Electronics, Beijing Institute Technology, Beijing 100081, ChinaRadar Research Lab, School of Information and Electronics, Beijing Institute Technology, Beijing 100081, ChinaRandom Stepped Frequency (RSF) radars can achieve high-range resolution with relatively low hardware complexity by synthesizing a wide bandwidth. Moreover, because of the random frequency agility of each pulse, the radars possess robust anti-interference and electromagnetic compatibility capabilities, rendering them invaluable for high-precision detection in complex electromagnetic environments. However, the inherent sparsity sensing of the radar waveform in the time-frequency domain, causes a lack of echo coherence information, leading to an underdetermined estimation of the traditional matched filter, which results in fluctuating high side lobes in the estimation spectrum and adversely deteriorating detection performance. This paper proposes a sparse recovery method based on Hankel matrix completion for the high-resolution range-Doppler spectrum of the RSF radars. Using the low-rank matrix completion concept, this method fills in the missing samples caused by sparse sensing for RSF radars, thereby restoring continuous coherence information and effectively addressing the underdetermined estimation issue. First, an undersampled data matrix of a single coarse-resolution range for RSF radar is constructed. Subsequently, the time-frequency data matrix is reconstructed into a double Hankel form, and its low-rank prior characteristics are analyzed and proven. Finally, the Alternating Direction Method of Multipliers (ADMM) algorithm is applied to restore the unsampled time-frequency data, ensuring sparse recovery of the high-resolution range-Doppler spectrum with low sidelobes. Simulations and real tests demonstrate the effectiveness and superiority of the proposed method.https://radars.ac.cn/cn/article/doi/10.12000/JR23176random stepped frequency (rsf)coherent processinghigh sidelobesparse recoverymatrix completion |
| spellingShingle | Xueyao HU Can LIANG Shanshan LU Zaiyang WANG Le ZHENG Yang LI Matrix Completion-based Range-Doppler Spectrum Estimation for Random Stepped-frequency Radars Leida xuebao random stepped frequency (rsf) coherent processing high sidelobe sparse recovery matrix completion |
| title | Matrix Completion-based Range-Doppler Spectrum Estimation for Random Stepped-frequency Radars |
| title_full | Matrix Completion-based Range-Doppler Spectrum Estimation for Random Stepped-frequency Radars |
| title_fullStr | Matrix Completion-based Range-Doppler Spectrum Estimation for Random Stepped-frequency Radars |
| title_full_unstemmed | Matrix Completion-based Range-Doppler Spectrum Estimation for Random Stepped-frequency Radars |
| title_short | Matrix Completion-based Range-Doppler Spectrum Estimation for Random Stepped-frequency Radars |
| title_sort | matrix completion based range doppler spectrum estimation for random stepped frequency radars |
| topic | random stepped frequency (rsf) coherent processing high sidelobe sparse recovery matrix completion |
| url | https://radars.ac.cn/cn/article/doi/10.12000/JR23176 |
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