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

吕明久; 马建朝; 韦旭; 陈文峰; 杨军; 马晓岩

doi:10.12263/DZXB.20210479

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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

学术论文 | 更新时间：2025-12-08

- 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
- Two-Dimensional Range-Doppler Estimation Method for High Frequency Radar Based on Matrix Atomic Norm
- 电子学报 2022年50卷第5期页码：1150-1158
- 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：
  
  [ "吕明久男，1985年出生于安徽庐江，现为空军预警学院雷达士官学校讲师，主要从事压缩感知在雷达成像中的应用研究. E‑mail:lv_mingjiu@163.com" ]
  [ "马建朝男，1973年出生于河北邢台，现为空军预警学院雷达士官学校副教授，主要从事雷达系统设计、情报分析等研究.E‑mail: shuilianfeng.com@163.com" ]
  [ "韦旭男，1994年出生于江苏宜兴.现为空军预警学院研究生队学员，博士研究生，主要从事压缩感知理论、雷达成像、深度学习技术等研究.E‑mail: weixu_1003@163.com" ]
  [ "陈文峰男，1989年出生于新疆，空军预警学院预警技术系讲师，博士，研究方向为双基地雷达成像.E‑mail: chenwf925@163.com" ]
- 基金信息：
  
  国家自然科学基金(61671469)
- DOI：10.12263/DZXB.20210479
  中图分类号： TN957.52
- 收稿：2021-04-14，
  
  修回：2021-05-21，
  
  纸质出版：2022-05-25
- 稿件说明：
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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.

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references

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