最小均值交叉熵的时频峰值滤波在探地雷达信号去噪中的应用

doi:10.11720/wtyht.2025.1300

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摘要

在探地雷达的实际探测作业中,环境噪声与仪器误差等不利因素常导致信号中混杂大量噪声,严重削弱了信号品质及分析结果的可信度。鉴于此,提出了一种融合最小均值交叉熵的时频峰值滤波方法(TFPF-MMCE)用于探地雷达信号的去噪处理。该方法将时频峰值滤波技术与交叉熵函数相结合,通过精准优化信号的时频表征,实现了对噪声的有效抑制与有效信号的精准保留,从而显著提升了探地雷达信号的质量。通过数值模拟与实地探地雷达实验验证,TFPF-MMCE具有很好的噪声去除能力,能够有效去除信号中的随机噪声,显著提升了信号的清晰度与可靠性。相较于传统的去噪方法,TFPF-MMCE在去噪效果与抗噪稳定性上均展现出显著优势,预示着其在探地雷达信号处理领域的广泛应用前景与重要实践价值。

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	郑伟
	田仁飞
	高雨含
	武斌

关键词 ：探地雷达, 最小均值交叉熵, 去噪, 时频峰值滤波, 时频分析

Abstract：

In practical detection operations using ground-penetrating radar (GPR), factors such as environmental noise and instrument errors frequently cause signals to be mixed with substantial noise, seriously reducing signal quality and the reliability of analytical results. To address this issue, this study proposed a time-frequency peak filtering method combined with minimum mean cross-entropy (TFPF-MMCE) for denoising GPR signals. This method combined time-frequency peak filtering with the cross-entropy function, enabling effective noise suppression and precise preservation of valid signals through precise optimization of the time-frequency representation, thereby significantly improving the quality of GPR signals. Numerical simulation and field GPR experiments validated that the TFPF-MMCE method exhibited a high noise removal capability and, thus, can effectively eliminate random noise while significantly improving signal clarity and reliability. Compared to traditional denoising methods, TFPF-MMCE shows significant advantages in denoising effectiveness and noise resistance stability, suggesting promising application potential and practical value in the field of GPR signal processing.

Key words： ground penetrating radar minimum mean cross-entropy denoising time-frequency peak filtering time-frequency analysis

收稿日期: 2024-07-18 修回日期: 2024-11-22 出版日期: 2025-04-20

ZTFLH:

P631.4

基金资助:国家自然科学基金项目(41304080)

通讯作者: 田仁飞(1983-),男,副教授,主要从事地球物理信号处理、综合地球物理勘探等方面的研究工作。Email:tianrenfei08@cdut.cn

作者简介: 郑伟(1999-),男,硕士,主要研究方向为工程物探。Email:1131270650@qq.com

引用本文:

郑伟, 田仁飞, 高雨含, 武斌. 最小均值交叉熵的时频峰值滤波在探地雷达信号去噪中的应用[J]. 物探与化探, 2025, 49(2): 404-410.
ZHENG Wei, TIAN Ren-Fei, GAO Yu-Han, WU Bin. Application of time-frequency peak filtering with minimum mean cross-entropy in ground penetrating radar signal denoising. Geophysical and Geochemical Exploration, 2025, 49(2): 404-410.

链接本文:

https://www.wutanyuhuatan.com/CN/10.11720/wtyht.2025.1300 或 https://www.wutanyuhuatan.com/CN/Y2025/V49/I2/404

Fig.1 TFPF-MMCE算法流程

Fig.2 探地雷达地质模型及其正演记录

Fig.3 第46道探地雷达加噪声信号

Fig.4 2种方法的时频峰值滤波去噪效果对比

Fig.5 不同信噪比下的RMSE和PSNR

Table 1 多种方法去噪效果对比

Fig.6 实测探地雷达时频峰值滤波效果

Fig.7 消除直达波后的时频峰值滤波效果

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