系统工程与电子技术 ›› 2026, Vol. 48 ›› Issue (8): 2872-2878.doi: 10.12305/j.issn.1001-506X.2026.08.32

• 通信与网络 • 上一篇    

基于时频能量分布聚类的跳频信号时间参数估计方法

刘子渤1(), 孙伟峰1(), 张鹏2(), 张超2(), 刘奇2   

  1. 1. 中国石油大学(华东)海洋与空间信息学院,山东 青岛 266580
    2. 中电科思仪科技股份有限公司,山东 青岛 266555
  • 收稿日期:2025-04-09 修回日期:2025-06-16 出版日期:2026-01-24 发布日期:2026-01-24
  • 通讯作者: 孙伟峰 E-mail:511783110@qq.com;sunwf@upc.edu.com;zhangpeng002@ceyear.com;zhangchao@ceyear.com
  • 作者简介:刘子渤(1998—),男,硕士研究生,主要研究方向为跳频信号的提取与参数估计
    张 鹏(1992—),男,高级工程师,博士,主要研究方向为微波毫米波电子测量仪器、超宽带信号采集及其校准补偿
    张 超(1977—),男,高级工程师,硕士,主要研究方向为微波毫米波
  • 基金资助:
    山东省自然科学基金面上项目(ZR2024MF056)资助课题

Estimation of temporal parameters of frequency-hopping signals based on clustering of time-frequency energy distribution

Zibo LIU1(), Weifeng SUN1(), Peng ZHANG2(), Chao ZHANG2(), Qi LIU2   

  1. 1. College of Oceanography and Space Informatics,China University of Petroleum(East China),Qingdao 266580,China
    2. Ceyear Technologies Co.,Ltd,Qingdao 266555,China
  • Received:2025-04-09 Revised:2025-06-16 Online:2026-01-24 Published:2026-01-24
  • Contact: Weifeng SUN E-mail:511783110@qq.com;sunwf@upc.edu.com;zhangpeng002@ceyear.com;zhangchao@ceyear.com

摘要:

低信噪比下跳频信号的时频能量受损且受残留噪声干扰,导致跳频信号时频脊线难以完整提取、时间参数估计精度受限。对此,提出一种基于时频能量分布聚类的跳频信号时间参数估计方法。首先,计算时频图中时间轴上相邻时频系数位置索引的欧氏距离,对距离序列排序并差分处理后定位拐点,以拐点对应的距离值作为基于密度的带噪声空间聚类方法的邻域半径。然后,利用跳频信号与噪声的能量密度差异,采用聚类算法识别并提取同频率信号的能量簇,并通过簇的边界点初步估计频率跳变时刻。最后,通过比较跳频周期的估计值和相邻簇中心点之间的距离,修正密度聚类结果。实验结果表明,在信噪比为?5 dB时,跳变时刻估计值的归一化均方误差低于0.2。该方法解决了低信噪比下跳变时刻难以精准估计的难题,为复杂电磁对抗环境下的通信侦察与无线电监测提供了高精度、强鲁棒性的技术支撑。

关键词: 跳频信号, 参数估计, 密度聚类

Abstract:

In low signal-to-noise ratio scenarios, the time-frequency energy of frequency-hopping signals deteriorates and suffers from residual noise interference, leading to incomplete extraction of time-frequency ridges and limited accuracy in temporal parameter estimation. Thus, a time parameter estimation approach for frequency-hopping signals using time-frequency energy distribution clustering is proposed. Firstly, the Euclidean distances of the position indexes of neighboring time-frequency coefficients in the time-frequency diagram on the time axis are calculated, the inflection points are localized by sorting the distance data sequence and calculating the differences, the distance value corresponding to the inflection point is used as the neighborhood radius of the density-based spatial clustering method of applications with noise. Then, by using the energy density difference between frequency-hopping signals and noise, the clustering algorithm is used to identify and extract energy clusters of signals at the same frequency, and the frequency-hopping instants are preliminarily estimated by the boundary points of the clusters. Finally, the density clustering results are corrected by comparing the estimated values of the frequency-hopping period and the distances between the centroids of the neighboring clusters. Experimental results show that the normalized mean square error of the estimated values of hopping time instants is lower than 0.2 at an signal to noise ratio of ?5 dB. This method addresses the challenge of accurately estimating hopping time instant with low signal-to-noise ratios, providing high-precision and robust technical support for communication reconnaissance and radio monitoring in complex electromagnetic countermeasure environments.

Key words: frequency-hopping signals, parameters estimation, density-based clustering

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