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基于频域时延-多普勒二维聚焦的欠采样雷达信号参数估方法

尉志良 付宁 乔立岩

尉志良, 付宁, 乔立岩. 基于频域时延-多普勒二维聚焦的欠采样雷达信号参数估方法[J]. 电子与信息学报, 2021, 43(11): 3228-3236. doi: 10.11999/JEIT200714
引用本文: 尉志良, 付宁, 乔立岩. 基于频域时延-多普勒二维聚焦的欠采样雷达信号参数估方法[J]. 电子与信息学报, 2021, 43(11): 3228-3236. doi: 10.11999/JEIT200714
Zhiliang WEI, Ning FU, Liyan QIAO. A Parameter Estimation Method for Sub-Nyquist Sampled Radar Signals Based on Frequency-domain Delay-Doppler Two-dimensional Focusing[J]. Journal of Electronics & Information Technology, 2021, 43(11): 3228-3236. doi: 10.11999/JEIT200714
Citation: Zhiliang WEI, Ning FU, Liyan QIAO. A Parameter Estimation Method for Sub-Nyquist Sampled Radar Signals Based on Frequency-domain Delay-Doppler Two-dimensional Focusing[J]. Journal of Electronics & Information Technology, 2021, 43(11): 3228-3236. doi: 10.11999/JEIT200714

基于频域时延-多普勒二维聚焦的欠采样雷达信号参数估方法

doi: 10.11999/JEIT200714
基金项目: 国家自然科学基金(62071149, 61671177)
详细信息
    作者简介:

    尉志良:男,1994年生,博士生,研究方向为欠奈奎斯特采样、有限新息率采样理论

    付宁:男,1979年生,教授,博士生导师,研究方向为信息域采样理论及技术、稀疏信号处理及压缩感知、自动测试技术等

    乔立岩:男,1973年生,教授,博士生导师,研究方向为数据采集技术、大容量数据记录技术和测试信息处理等

    通讯作者:

    付宁 funinghit@163.com

  • 中图分类号: TN958

A Parameter Estimation Method for Sub-Nyquist Sampled Radar Signals Based on Frequency-domain Delay-Doppler Two-dimensional Focusing

Funds: The National Natural Science Foundation of China (62071149, 61671177)
  • 摘要: 针对欠采样脉冲多普勒雷达信号参数估计中已有方法抗噪性差、顺序参数估计方法中后续参数估计受前面参数估计精度影响严重等问题,该文提出一种基于有限新息率(Finite Rate of Innovation, FRI)采样的频域时延-多普勒2维聚焦(FD2TF)算法。在该算法中,利用FRI采样结构能够以低于奈奎斯特采样频率的速率获得信号的一系列傅里叶系数,通过频域2维聚焦过程能够同时估计时延和多普勒参数,避免了参数顺序估计中误差累积的问题,理论分析证明了该算法能够大幅提升采样信号的信噪比,提高算法抗噪性和鲁棒性。在2维聚焦算法的基础上该文还提出了基于逆傅里叶变换的2维聚焦简化算法,在提高参数估计网格密度的同时,大大减低了2维聚焦算法的计算量。仿真和对比实验结果证明了该方法的有效性和良好的抗噪性。
  • 图  1  基于滤波器组的多通道FRI采样结构[19,20]

    图  2  聚焦函数$\left| {s(\tau |{\tau _l})g(v|{v_l})} \right|$

    图  3  不同目标回波个数下参数估计性能

    图  4  不同发射脉冲数下参数估计NMSE误差曲线

    图  5  不同傅里叶系数个数下参数估计NMSE误差曲线

    图  6  不同网格数下计算量对比

    图  7  不同$P,K$个数下信噪比提升对比

    图  8  不同信噪比下方法对比NMSE曲线

    表  1  直接多普勒聚焦与逆FFT方法计算量对比

    方法直接多普勒聚焦计算逆FFT计算
    复数乘法次数$MQ(M + Q)$$\dfrac{ {MQ} }{2}({\log _2}M + {\log _2}Q)$
    复数加法次数$MQ(M + Q - 2)$$MQ({\log _2}M + {\log _2}Q)$
    下载: 导出CSV

    表  2  脉冲-多普勒2维聚焦算法雷达信号参数估计过程(算法1)

     输入 傅里叶系数${Y_p}[k]$;PRI数$P$;每个PRI采集傅里叶系数个数
        $K$;脉冲重复间隔$T$;目标个数$L$。
     输出 信号参数$\left\{ {{a_l},{\tau _l},{v_l}} \right\}_{l = 0}^{L - 1}$。
     步骤 1:根据式(14)~(16)完成采样数据插值及时延-多普勒2维
         聚焦过程。
        2:根据式(10)计算目标幅值${\tilde a_l}$。
        3:根据式(11)确定信号的时延和多普勒参数$({\tilde \tau _l},{\tilde v_l})$。
        4:根据式(13)去除已估计目标信号对其他目标参数估计的
         影响。
        5:重复步骤3~5直到获得所有$L$个目标参数。
        6:输出估计参数$\left\{ {{{\tilde a}_l},{{\tilde \tau }_l},{{\tilde v}_l}} \right\}_{l = 0}^{L - 1}$。
    下载: 导出CSV
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出版历程
  • 收稿日期:  2020-08-11
  • 修回日期:  2021-08-20
  • 网络出版日期:  2021-09-17
  • 刊出日期:  2021-11-23

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