Two-Dimensional Range-Doppler Estimation Method for High Frequency Radar Based on Matrix Atomic Norm

LÜ Ming-jiu; MA Jian-chao; WEI Xu; CHEN Wen-feng; YANG Jun; MA Xiao-yan

doi:10.12263/DZXB.20210479

您当前的位置：

首页 >

文章列表页 >

Two-Dimensional Range-Doppler Estimation Method for High Frequency Radar Based on Matrix Atomic Norm

PAPERS | 更新时间：2025-12-08

- Two-Dimensional Range-Doppler Estimation Method for High Frequency Radar Based on Matrix Atomic Norm
- ACTA ELECTRONICA SINICA Vol. 50, Issue 5, Pages: 1150-1158(2022)
- 作者机构：
  
  1.空军预警学院雷达士官学校, 湖北武汉 430019
  2.空军预警学院研究生队, 湖北武汉 430019
  3.空军预警学院预警技术系, 湖北武汉 430019
- 作者简介：
- 基金信息：
- DOI：10.12263/DZXB.20210479
  CLC： TN957.52
- Received：14 April 2021，
  
  Revised：2021-05-21，
  
  Published：25 May 2022
- 稿件说明：
移动端阅览
吕明久,马建朝,韦旭等.基于矩阵化原子范数的高频雷达距离-多普勒二维估计方法[J].电子学报,2022,50(05):1150-1158.

LÜ Ming-jiu,MA Jian-chao,WEI Xu,et al.Two-Dimensional Range-Doppler Estimation Method for High Frequency Radar Based on Matrix Atomic Norm[J].ACTA ELECTRONICA SINICA,2022,50(05):1150-1158.
吕明久,马建朝,韦旭等.基于矩阵化原子范数的高频雷达距离-多普勒二维估计方法[J].电子学报,2022,50(05):1150-1158. DOI： 10.12263/DZXB.20210479.

LÜ Ming-jiu,MA Jian-chao,WEI Xu,et al.Two-Dimensional Range-Doppler Estimation Method for High Frequency Radar Based on Matrix Atomic Norm[J].ACTA ELECTRONICA SINICA,2022,50(05):1150-1158. DOI： 10.12263/DZXB.20210479.

摘要

针对传统合成带宽高频雷达存在相参时间长，传统处理算法二维分辨能力弱等问题，提出一种基于矩阵化原子范数的多周期脉冲内随机稀疏步进频率信号距离-多普勒二维估计方法. 通过在每个脉冲重复时间内连续发射一串由多个载频步进子脉冲组成的脉冲序列来减少相参处理周期. 构造矩阵形式的连续原子集合，将距离-多普勒二维估计转化为矩阵形式的原子范数最小化模型，并基于半正定规划问题进行快速求解. 所提方法有效降低了运算量且实现了网格失配目标的二维高分辨. 理论分析与仿真实验验证了所提方法的有效性.

Abstract

In order to solve the problems of long coherent time and weak two-dimensional resolution in traditional synthetic bandwidth high frequency radar

a two-dimensional range-Doppler estimation method based on matrix atomic norm for multi-cycle intra-pulse random sparse stepped frequency signal is proposed. Firstly

a series of pulse

which is composed of sequences multiple carriers stepped sub-pulses

has been continuously transmitted in each pulse repetition time to reduce the coherent processing period. Secondly

a continuous set of atoms in matrix form is constructed

and the two-dimensional range-Doppler estimation is transformed into a matrix form of atomic norm minimization problem. The above optimization problem is transformed into a positive semi-definite programming problem

and can be solved. The proposed method can not only effectively reduce the amount of computation

but also achieve the high resolution under the condition of off grid. Theoretical analysis and simulation experiments verify the effectiveness of the proposed method.

关键词

Keywords

references

QUAN Y H , WU Y J , et al . Range-Doppler reconstruction for frequency agile and PRF-jittering radar [J]. IET Radar , Sonar & Navigation, 2018 , 12 ( 3 ): 348 ‑ 352 .

ZHAO J R , TIAN Y W , et al . Unambiguous wind direction field extraction using a compact shipborne high-frequency radar [J]. IEEE Transactions on Geoscience and Remote Sensing , 2020 , 58 ( 10 ): 7448 ‑ 7458 .

CHEN Q S , YANG Q , ZHANG X , et al . High resolution target range estimation in discontinuous spectra high frequency radar [J]. Remote Sensing Letters , 2018 , 9 ( 7 ): 676 ‑ 685 .

ZHU Jiang , GUO Honghui , ZHANG Ning , et al . Newtonalized orthogonal matching pursuit for linear frequency modulated pulse frequency agile radar [EB/OL]. [ 2021-04-01 ]. https://arxiv.org/abs/2101.12456 https://arxiv.org/abs/2101.12456 .

ZHAO D H , WEI Y S . Adaptive gradient search for optimal sidelobe design of hopped-frequency waveform [J]. IET Radar , Sonar & Navigation, 2014 , 8 ( 4 ): 282 ‑ 289 .

毛二可 , 范花玉 . 合成宽带脉冲多普勒雷达 [J]. 系统工程与技术 , 2016 , 38 ( 12 ): 2718 ‑ 2724 .

MAO Er-ke , FAN Hua-yu . Synthetic wideband pulse Doppler radar [J]. Systems Engineering and Electronics , 2016 , 38 ( 12 ): 2718 ‑ 2724 . (in Chinese)

翟文帅 , 张云华 . 运用Super-SVA方法处理频谱不连续调频步进信号 [J]. 电子与信息学报 , 2009 , 31 ( 12 ): 2848 ‑ 2852 .

ZHAI Wen-shuai , ZANG Yun-hua . Apply super-SVA to processing stepped frequency chirp signal with bandwidth gaps [J]. Journal of Electronics & Information Technology , 2009 , 31 ( 12 ): 2848 ‑ 2852 . (in Chinese)

黄大荣 , 张磊 , 郭新荣 , 等 . 全极化频谱外推的合成孔径雷达成像分辨率增强方法 [J]. 电波科学学报 , 2014 , 29 ( 5 ): 799 ‑ 805, 814 .

HUANG Da-rong , ZHANG Lei , GUO Xin-rong , et al . Enhanced resolution in fully polarimetric synthetic aperture radar imaging using bandwidth extrapolation [J]. Chinese Journal of Radio Science , 2014 , 29 ( 5 ): 79 ‑ 805, 814 . (in Chinese)

位寅生 . 非连续谱高频雷达信号的综合研究 [D]. 哈尔滨 : 哈尔滨工业大学 , 2002 .

DONOHO D L . Compressed sensing [J]. IEEE Transactions on Information Theory , 2006 , 52 ( 4 ): 1289 ‑ 1306 .

WEI S P , ZANG L , MA H , et al . Sparse frequency waveform optimization for high-resolution ISAR imaging [J]. IEEE Transactions on Geoscience and Remote Sensing , 2020 , 58 ( 1 ): 546 ‑ 566 .

SHAH S , YAO Y , PETROPULU A . Step-frequency radar with compressive sampling(SFR-CS) [C]//SCOTT D. 2010 IEEE International Conference on Acoustics Speech and Signal Processing(ICASSP) . Dallas : IEEE Press , 2010 : 1686 ‑ 1689 .

CHI Y , SCHARF L L , PEZESHKI A , et al . Sensitivity to basis mismatch in compressed sensing [J]. IEEE Transactions on Signal Processing , 2011 , 59 ( 5 ): 2182 ‑ 2195 .

HU L , SHI Z G , ZHOU J X , et al . Compressed sensing of complex sinusoids: an approach based on dictionary refinement [J]. IEEE Transactions on Signal Processing , 2012 , 60 ( 7 ): 3809 ‑ 3822 .

DUAN K Q , LIU W J , DUAN G Q , et al . Off-grid effects mitigation exploiting knowledge of the clutter ridge for sparse recovery STAP [J]. IET Radar Sonar & Navigation , 2018 , 12 ( 5 ): 557 ‑ 564 .

王伟 , 胡子英 , 龚琳舒 . MIMO雷达三维成像自适应Off-grid校正方法 [J]. 电子与信息学报 , 2019 , 41 ( 6 ): 1294 ‑ 1301 .

WANG Wei , HU Zi-ying , GONG Lin-shu . Adaptive off-grid calibration method for MIMO radar 3D imaging [J]. Journal of Electronics & Information Technology , 2019 , 41 ( 6 ): 1294 ‑ 1301 . (in Chinese)

CHAITANYA E , DANIEL T , et al . Recovery of sparse translation-invariant signals with continuous basis pursuit [J]. IEEE Transactions on Signal Processing , 2011 , 59 ( 10 ): 4735 ‑ 4744 .

BHASKAR B N , TANG G , RECHT B . Atomic norm denoising with applications to line spectral estimation [J]. IEEE Transactions on Signal Processing , 2013 , 61 ( 23 ): 5987 ‑ 5999 .

HU X W , TONG N N , DING S S , et al . ISAR imaging with sparse stepped frequency waveforms via matrix completion [J]. Remote Sensing Letters , 2016 , 7 ( 9 ): 847 ‑ 854 .

陈秋实 , 杨强 , 董英凝 , 等 . 基于矩阵填充的合成宽带高频雷达非网格目标分辨技术研究 [J]. 电子与信息学报 , 2017 , 39 ( 12 ): 2874 ‑ 2880 .

CHEN Qiu-shi , YANG Qiang , DONG Ying-ning , et al . Off-the-grid targets resolution of synthetic bandwidth high frequency radar based on matrix completion [J]. Journal of Electronics & Information Technology , 2017 , 39 ( 12 ): 2874 ‑ 2880 . (in Chinese)

CHI Y J , CHEN Y X . Compressive two-dimensional harmonic retrieval via atomic norm minimization [J]. IEEE Transactions on Signal Processing , 2015 , 63 ( 4 ): 1030 ‑ 1042 .

CHANDRAEKARAN V , RECHT B , PARRILO P A , et al . The convex algebraic geometry of linear inverse problems [C]// IEEE 2010 48th Annual Allerton Conference on Communication, Control, and Computing(Allerton) . Monticello, USA : IEEE , 2010 : 699 ‑ 703 .

YANG Z , XIE L , STOICA P . Vandermonde decomposition of multilevel Toeplitz matrices with application to multidimensional super-resolution [J]. IEEE Transactions on Information Theory , 2016 , 62 ( 6 ): 3685 ‑ 3701 .

ZHANG Z , WANG Y , TIAN Z . Eﬃcient two-dimensional line spectrum estimation based on decoupled atomic norm minimization [J]. Signal Processing , 2019 , 163 : 95 ‑ 106 .

KRISHNAN K , TERLAKY T . Graph Theory and Combinatorial Optimization [M]. Switzerland : Springer , 2005 : 101 ‑ 157 .

MOHIMANI H , BABAIE-ZADEH M , GORODNITSKY I , et al . Sparse recovery using smoothed L0(SL0): Convergence analysis [DB/OL]. [ 2021‑04‑01 ]. https://www.researchgate.net/publication/45897941 https://www.researchgate.net/publication/45897941 .

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

An Efficient Data Domain STAP Algorithm Based on Reduced-Dimension Sparse Reconstruction

Robust Parametric Covariance Matrix Estimation Based STAP Method

Related Author

Jian-chao MA

Xu WEI

Wen-feng CHEN

Jun YANG

Xiao-yan MA

Ming-jiu LÜ

ZHU Dai-yin

WU Di

Related Institution

Radar NCO School， Air Force Early Warning Academy

Graduate team， Air Force Early Warning Academy

Early Warning Technology， Air Force Early Warning Academy

河海大学计算机与信息学院

南京航空航天大学电子信息工程学院

⁰