非理想观测下的多功能雷达工作状态在线切换点检测方法

doi:10.12263/DZXB.20210830

电子学报 ›› 2022, Vol. 50 ›› Issue (6): 1291-1300.DOI: 10.12263/DZXB.20210830

所属专题：电磁频谱智能+

非理想观测下的多功能雷达工作状态在线切换点检测方法

鲍加迪¹, 李云杰¹(), 朱梦韬¹, 张蔚²

^1.北京理工大学信息与电子学院，北京 100081
^2.中国电子科技集团公司第二十九研究所，四川成都 610097

收稿日期:2021-07-02 修回日期:2021-12-31 出版日期:2022-06-25
- 通讯作者:
- 李云杰
- 作者简介:
- 鲍加迪男，1998年出生于北京市.2021年于北京工业大学获得学士学位，现为北京理工大学信息与电子学院硕士研究生.主要研究方向为电磁智能感知.E-mail: baojiadi@bit.edu.cn
  李云杰（通讯作者）男，1975年出生于山西省万荣县.现为北京理工大学教授，硕士生导师.主要研究方向为雷达电子对抗、电磁智能感知与对抗等.
  朱梦韬男，1994年出生于湖南省常德市.2016年于北京理工大学信息与电子学院获得学士学位，现为北京理工大学信息与电子学院硕博连读生.主要研究方向为电子侦察、机器学习、时间序列分析、雷达信号分析等.
- 基金资助:
- 国家自然科学基金面上项目 (61976019)

Online Detection Method of Multi-Function Radar Work Mode Changepoints Non-ideal Observations

BAO Jia-di¹, LI Yun-jie¹(), ZHU Meng-tao¹, ZHANG Wei²

^1.School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China
^2.Southwest China Research Institute of Electronic Equipment, Chengdu, Sichuan 610097, China

Received:2021-07-02 Revised:2021-12-31 Online:2022-06-25 Published:2022-06-25
- Corresponding author:
- LI Yun-jie
- Supported by:
- National Natural Science Foundation of China (61976019)

摘要/Abstract

摘要：

先进多功能雷达可以实现灵活的波束调度和复杂的工作状态调制，进而在雷达时间线上同时执行多个不同的任务，给电子侦察设备带来了巨大挑战.准确快速地对多功能雷达工作状态切换点进行在线检测对识别多功能雷达行为意图具有重要意义.本文在对多功能雷达层次化模型中工作状态所在“符号-脉冲”层进行调制类型级和参数级扩展表征基础上，提出了一种非理想观测下的多功能雷达工作状态在线切换点检测算法.该方法针对真实信号环境中存在的测量误差、虚假脉冲和缺失脉冲等情况进行适应性设计，通过离群点剔除处理和广义切换点检测算法处理，不仅可以实现调制参数粒度的雷达工作状态在线切换点检测，还可以给出雷达工作状态调制参数在切换点前后的准确估计.仿真实验验证了本文提出方法相较传统切换点检测方法的有效性和优越性.

关键词: 多功能雷达, 工作状态, 切换点检测, 虚假脉冲, 缺失脉冲, 测量噪声

Abstract:

Multi-function radars(MFRs) have great flexibilities in beam scheduling and complex modulation of radar work modes. It can perform multiple system tasks simultaneously in the radar timeline, which brings great challenges to electronic reconnaissance devices. Online detection of multiple MFR work mode changepoints accurately and rapidly is of great importance for identifying the behavioral intentions of a multi-function radar. This paper proposes an online detection method of MFR work mode changepoints. The proposed method takes the measurement noise, spurious pulses and lost pulses in real electromagnetic environment into consideration and can realize online changepoints detection of radar working mode under the observations contaminated by these non-ideal situations. Also, this method can estimate the modulation parameters of the work modes before and after the changepoints. Experimental results validate the effectiveness and superiority of the proposed method compared with the traditional changepoint detection methods.

Key words: multi-function radar, work mode, changepoint detection, spurious pulse, lost pulse, measurement noise

中图分类号:

TN971.+1

鲍加迪, 李云杰, 朱梦韬, 张蔚. 非理想观测下的多功能雷达工作状态在线切换点检测方法[J]. 电子学报, 2022, 50(6): 1291-1300.

BAO Jia-di, LI Yun-jie, ZHU Meng-tao, ZHANG Wei. Online Detection Method of Multi-Function Radar Work Mode Changepoints Non-ideal Observations[J]. Acta Electronica Sinica, 2022, 50(6): 1291-1300.

图/表 11

图1 虚假和缺失脉冲的影响

图2 适应非理想观测的MFR工作状态切换点检测框架

表1 抖动工作状态序列分布参数设置

状态序号	高斯抖动分布			均匀抖动分布
状态序号	均值	标准差	长度	下界	上界	长度
1	50	2	100	48	52	100
2	90	2	200	88	92	200
3	70	2	100	68	72	100
4	80	2	150	78	82	150
5	60	2	120	58	62	120

表2 传统FSS算法和U-FSS算法的平均检测延迟

阈值 $(m)$	窗口大小 $(h)$	理论最大平均检测延迟 $T ¯ = 1090$	平均检测延迟/点		全序列检测时长/ms
阈值 $(m)$	窗口大小 $(h)$	理论最大平均检测延迟 $T ¯ = 1090$	FSS	U-FSS	FSS	U-FSS
300	2	2.07	2	2	7.90	8.20
1 000	5	2.07	5	5	6.77	6.98
1 000	7	2.07	5	5	6.67	6.58
1 000	10	2.07	10	10	6.85	6.57
1 000	15	2.07	5	5	6.36	6.56
1 000	20	2.07	20	20	6.25	6.42

表2 传统FSS算法和U-FSS算法的平均检测延迟

阈值 $(m)$	窗口大小 $(h)$	理论最大平均检测延迟 $T ¯ = 1090$	平均检测延迟/点		全序列检测时长/ms
阈值 $(m)$	窗口大小 $(h)$	理论最大平均检测延迟 $T ¯ = 1090$	FSS	U-FSS	FSS	U-FSS
300	2	2.07	2	2	7.90	8.20
1 000	5	2.07	5	5	6.77	6.98
1 000	7	2.07	5	5	6.67	6.58
1 000	10	2.07	10	10	6.85	6.57
1 000	15	2.07	5	5	6.36	6.56
1 000	20	2.07	20	20	6.25	6.42

表3 CUSUM与U-CUSUM算法的平均检测延迟

阈值

$(λ)$

理论最大平均检测延迟

$T ¯ = 1090$

表3 CUSUM与U-CUSUM算法的平均检测延迟

阈值

$(λ)$

理论最大平均检测延迟

$T ¯ = 1090$

平均检测延迟/点

检测时长/ms

CUSUM

U-CUSUM

CUSUM

U-CUSUM

1.03

10.74

11.92

图3 非理想脉冲比例为5%时的数据清洗和切换点检测实验结果

图4 非理想脉冲比例为15%时的切换点检测结果

图5 平均效益-虚警率对抗图(高斯抖动序列5%虚假脉冲+缺失脉冲)

图6 AR模型拟合正弦PRI信息准则

图7 正弦PRI调制工作状态切换点检测结果(缺失脉冲3%)

图8 显著切换点检测仿真结果

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非理想观测下的多功能雷达工作状态在线切换点检测方法

Online Detection Method of Multi-Function Radar Work Mode Changepoints Non-ideal Observations

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