一种核密度估计与多域特征相结合的组合ISRJ-SMSP干扰识别方法

doi:10.12305/j.issn.1001-506X.2026.06.06

系统工程与电子技术 ›› 2026, Vol. 48 ›› Issue (6): 1838-1847.doi: 10.12305/j.issn.1001-506X.2026.06.06

一种核密度估计与多域特征相结合的组合ISRJ-SMSP干扰识别方法

王思宇(), 宋志勇(), 王占领

国防科技大学电子科学学院，湖南长沙 410073

收稿日期:2025-01-21 修回日期:2025-05-05 接受日期:2026-04-09 出版日期:2026-06-25 发布日期:2025-07-03
通讯作者: 宋志勇 E-mail:2862639595@qq.com;songzhiyong08@nudt.edu.cn
作者简介:王思宇（2001—），男，硕士研究生，主要研究方向为雷达信号处理、雷达干扰识别
王占领（1988—），男，助理研究员，博士，主要研究方向为极化射频制导
基金资助:
国家自然科学基金（62301580）；湖南省科技创新计划（2024RC3138）资助课题

Combined ISRJ-SMSP jamming identification based on kernel density estimation and multi-domain feature fusion

Siyu WANG(), Zhiyong SONG(), Zhanling WANG

College of Electronic Science and Technology，National University of Defense Technology，Changsha 410073，China

Received:2025-01-21 Revised:2025-05-05 Accepted:2026-04-09 Online:2026-06-25 Published:2025-07-03
Contact: Zhiyong SONG E-mail:2862639595@qq.com;songzhiyong08@nudt.edu.cn

摘要/Abstract

摘要：

间歇采样转发干扰、频谱弥散干扰及其组合干扰识别特征不稳定、分散性强，存在单一特征方法识别困难且神经网络方法受限于样本不足和时效性差的问题。对此，提出一种基于核密度估计的似然函数构建方法，通过结合多种特征的统计分布实现对单类及其组合干扰的精准识别，克服组合干扰特征不稳定的问题。数字仿真实验显示，在不同信干比条件下，所提方法准确率均高于决策树方法10%以上，且所需样本远少于神经网络方法，为复杂电磁环境下雷达有源干扰识别提供了一种有效途径。

关键词: 间歇采样转发干扰, 频谱弥散干扰, 组合干扰, 核密度估计

Abstract:

To address the problems of instability and strong dispersion of characteristics in the identification of interrupted sampling repeater jamming （ISRJ）, smeared spectrum （SMSP） jamming, and their combined forms, which make single-characteristic methods ineffective and neural network methods limited by insufficient training samples and timeliness issues, a likelihood function construction method is proposed based on kernel density estimation, which achieves accurate identification of single-class and combined jamming by combining the statistical distributions of multiple characteristics, overcoming the problem of unstable combined jamming characteristics. Digital simulation experiments show that under different signal to interference ratio csonditions, the accuracy of the proposed method is more than 10% higher than that of the decision tree method, and the required samples are much fewer than those of the neural network method, providing an effective approach for radar active jamming identification in complex electromagnetic environments.

Key words: interrupted sampling repeater jamming (ISRJ), smeared spectrum (SMSP) jamming, combined jamming, kernel density estimation

中图分类号:

TN 974

王思宇, 宋志勇, 王占领. 一种核密度估计与多域特征相结合的组合ISRJ-SMSP干扰识别方法[J]. 系统工程与电子技术, 2026, 48(6): 1838-1847.

Siyu WANG, Zhiyong SONG, Zhanling WANG. Combined ISRJ-SMSP jamming identification based on kernel density estimation and multi-domain feature fusion[J]. Systems Engineering and Electronics, 2026, 48(6): 1838-1847.

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干扰	简称
间歇采样直接转发干扰+SMSP干扰（R=4）	组合干扰1
间歇采样重复转发干扰+SMSP干扰（R=4）	组合干扰2
间歇采样循环转发干扰+SMSP干扰（R=4）	组合干扰3

特征	离散度
矩峰度	0.1790
矩偏度	0.0028
归一化瞬时幅度绝对值的标准偏差	0.0177
频域矩偏度	0.5036
脉压矩峰度	1.0000

方法	训练复杂度	估计复杂度
所提方法	$ O\left(m\cdot {n}^{2}\right) $	$ O\left(m\cdot k\right) $
决策树	$ O\left(m\cdot n\cdot \log_2 n\right) $	$ O\left(\log_2 n\right) $
CNN	$ O\left(T\cdot L\cdot {k}^{2}\cdot h\cdot w\right) $	$ O\left(L\cdot {k}^{2}\cdot h\cdot w\right) $

参数类别	参数值
发射信号	线性调频信号
脉冲宽度/μs	10
带宽/MHz	10
采样率/MHz	100
脉冲重复间隔/μs	100
信噪比/dB	5
SIR/dB	−10
直接转发干扰采样时间/μs	1
重复转发干扰采样时间/μs	0.5
重复转发干扰转发次数	3
循环转发干扰采样时间/μs	1
SMSP干扰子波形数	4

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一种核密度估计与多域特征相结合的组合ISRJ-SMSP干扰识别方法

Combined ISRJ-SMSP jamming identification based on kernel density estimation and multi-domain feature fusion

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