基于集合经验模态分解-小波阈值方法的爆破振动信号降噪方法

费鸿禄; 刘梦; 曲广建; 高英

doi:10.11883/bzycj-2016-0148

基于集合经验模态分解-小波阈值方法的爆破振动信号降噪方法

doi: 10.11883/bzycj-2016-0148

1.
辽宁工程技术大学爆破技术研究院, 辽宁阜新 123000
2.
广州中爆数字信息科技股份有限公司, 广东广州 510670
3.
华南理工大学计算机科学与工程学院, 广东广州 510641

详细信息

作者简介:
费鸿禄(1963—)，男，博士，教授，feihonglu@163.com

中图分类号: O389
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- 被引次数: 7
出版历程
- 收稿日期: 2016-05-25
- 修回日期: 2016-08-26
- 刊出日期: 2018-01-25

A method for blasting vibration signal denoising based on ensemble empirical mode decomposition-wavelet threshold

1.
Institute of Blasting Technique, Liaoning Technical University, Fuxin 123000, Liaoning, China
2.
Guangzhou China Blast Digital Information Technology Co., Ltd., Guangzhou 510670, Guangdong, China
3.
School of Computer Science & Engineering, South China University of Technology, Guangzhou 510641, Guangdong, China

摘要

摘要: 为了更好地消除混杂在爆破信号中的噪声，引入一种基于集合经验模态分解和小波阈值共同作用的降噪方法。首先将信号进行集合经验模态分解，然后选择含噪的模态函数分量进行小波阈值降噪处理，最后把处理后的分量和未处理的分量进行叠加，重构的信号即为降噪信号。该方法不仅能有效的去除噪声，还能使爆破波形保留其真实性和完整性。
- 爆破信号 /
- 集合经验模态分解 /
- 小波阈值 /
- 降噪
Abstract: In this work we proposed a method based on ensemble empirical mode decomposition (EEMD) and wavelet threshold for eliminating the noise contained a in blasting signal. Following this method, the signal is firstly decomposed using the ensemble empirical mode decomposition; then, the intrinsic mode function with noise is processed by the wavelet threshold denoising; and, finally, the processed signal is superimposed on the untreated component of the signal, and the signal thus reconstructed is the denoised signal. This method can not only can effectively remove the noise, but also enable the burst wave form to retain its authenticity and integrity
- blasting signal /
- ensemble empirical mode decomposition /
- wavelet threshold /
- denoising

HTML全文

图 1 EEMD-小波阈值降噪流程图

Figure 1. EEMD-wavelet threshold denoising process

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图 2 爆破振动加速度信号

Figure 2. Blasting vibration acceleration signal

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图 3 含噪的IMF分量频谱图

Figure 3. Frequency spectrum of IMF with noise

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图 4 合成后信号与降噪后信号

Figure 4. Synthesizing signal and denoising signal

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图 5 EEMD-小波阈值方法降噪后信号

Figure 5. Denoising signal by EEMD-wavelet threshold method

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图 6 EEMD方法降噪后信号

Figure 6. Denoising signal by EEMD method

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图 7 小波阈值方法降噪后信号

Figure 7. Denoising signal by wavelet threshold method

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图 8 降噪前、后的信号三维图

Figure 8. Three dimensional signal by EEMD-wavelet threshold method before and after denoising

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表 1 互相关系数对应表

Table 1. Cross correlation coefficient

互相关系数	IMF分量
互相关系数	x₁	x₂	x₃	x₄	x₅	x₆	x₇	x₈	x₉
R₁	0.057	-	-	-	-	-	-	-	-
R₂	-	0.167	-	-	-	-	-	-	-
R₃	-	-	0.580	-	-	-	-	-	-
R₄	-	-	-	0.774	-	-	-	-	-
R₅	-	-	-	-	0.623	-	-	-	-
R₆	-	-	-	-	-	0.264	-	-	-
R₇	-	-	-	-	-	-	0.064	-	-
R₈	-	-	-	-	-	-	-	0.001	-
R₉	-	-	-	-	-	-	-	-	0.000

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表 2 信号降噪指标

Table 2. Signal denoising index

降噪方法	ξ/dB	ε/10^-10
EEMD-小波阈值	26.07	1.30
EEMD	23.11	2.68
小波阈值	21.12	4.23

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