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
|
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。
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
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
引文
[1]李洪涛,卢文波,舒大强.小波分析在爆破振动加速度推求中的应用[J].爆破器材,2006,35(5):4-7.LI Hongtao,LU Wenbo,SHU Daqiang.Application of wavelet analysis in calculating blasting vibration acceleration[J].Explosive Materials,2006,35(5):4-7.
[2]中国生,徐国元,江文武.基于小波变换的爆破地震信号去噪的应用[J].中南大学学报(自然科学版),2006,37(1):155-159.ZHONG Guosheng,XU Guoyuan,JIANG Wenwu.Application of denoising in blasting seismic signals based on wavelet transform[J].Journal of Center Sorth University(Science and Technology),2006,37(1):155-159.
[3]徐学勇,程康.爆破震动信号模极大值小波消噪方法的改进[J].爆炸与冲击,2009,29(2):194-198.XU Xueyong,CHENG Kang.Improvement of the wavelet transform maximum modulus method for blasting vibration signals[J].Explosion and Shock Waves,2009,29(2):194-198.
[4]夏晨曦,杨军,李顺波,等.最优小波包基算法在爆破振动信号去噪中的应用[J].爆破,2011,28(3):4-7.XIA Chenxi,YANG Jun,LI Shunbo,et al.Application of best wavelet packet basis algorithm in denoising of blasting vibration signal[J].Blasting,2011,28(3):4-7.
[5]熊正明,中国生,徐国元.基于平移不变小波爆破振动信号去噪的应用研究[J].金属矿山,2006(2):12-14.XIONG Zhengming,ZHONG Guosheng,XU Guoyuan.Application of denoising for blasting vibration signals based on translation invariant wavelet[J].Metal Mine,2006(2):12-14.
[6]李夕兵,张义平,左宇军,等.岩石爆破振动信号的EMD滤波与消噪[J].中南大学学报(自然科学版),2006,37(1):150-154.LI Xibing,ZHANG Yiping,ZUO Yujun,et al.Filtering and denoising of rock blasting vibration signal with EMD[J].Journal of Center Sorth University(Science and Technology),2006,37(1):150-154.
[7]赵明生,梁开水,罗元方,等.EEMD在爆破振动信号去噪中的应用[J].爆破,2011,28(2):17-20.ZHAO Mingsheng,LIANG Kaishui,LUO Yuanfang,et al.Application of EEMD in blasting vibration signal denoising[J].Blasting,2011,28(2):17-20.
[8]饶运章,王柳,饶睿,等.基于EMD与小波阈值的爆破震动信号去噪方法[J].福州大学学报(自然科学版),2015,43(2):271-277.RAO Yunzhang,WANG Liu,RAO Rui,et al.A method for blasting vibration signal denoising based on empircal mode decomposition and wavelet threshold[J].Journal of Fuzhou University(Natural Science Edition),2015,43(2):271-277.
[9]CHIEMENTIN X,KILUNDU B,RASOLOFONDRAIBE L,et al.Performance of wavelet denoising in vibration analysis:Highlighting[J].Journal of Vibration and Control,2012,18(6):850-858.
[10]HUANG N E,SHEN Z,Long S R,et al.The empirical mode decomposition and the Hibert spectrum for nonlinear and nonstationary time series analysis[J].Proceedings of Roval Society of London A,1998,454(3):903-995.DOI:10.1098/rspa.1998.0193.
[11]李夕兵,张义平,刘志祥,等.爆破震动信号的小波分析与HHT变换[J].爆炸与冲击,2005,25(6):528-535.LI Xibing,ZHANG Yiping,LIU Zhixiang,et al.Wavelet analysis and Hilbert-Huang transform of blasting vibration signal[J].Explosion and Shock Waves,2005,25(6):528-535.
[12]GIAOUR D,FINCH J W.Denoising using wavelets on electric drive applications[J].Electric Power Systems Research,2008,78(4):559-565.
[13]WU Zhaohua,HUANG N E.Ensemble empirical mode decom position a noise assisted data analysis method[J].Advances in Adaptive Data Analysis,2009,1(1):1-41.DOI:10.1142/S1793536909000047.
[14]陈仁祥,汤宝平,马靖华.基于EEMD的振动信号自适应降噪方法[J].振动与冲击,2012,31(15):82-86.CHEN Renxiang,TANG Baoping,MA Jinghua.Adaptived denoising method based on ensemble empirical mode decomposition for vibration signal[J].Journal of Vibration and Shock,2012,31(15):82-86.
[15]张雪英,谢飞,乔铁柱,等.基于EEMD与改进小波阈值的磁记忆信号降噪研究[J].太原理工大学学报,2015(5):592-597.ZHANG Xueying,XIE Fei,QIAO Tiezhu,et al.Denoising algorithm for metal magnetic memory signals based on EEMD and improved semisoft wavelet threshold[J].Journal of Taiyuan University of Technology,2015(5):592-597.
[16]刘希灵,李夕兵,洪亮,等.基于离散小波变换的岩石SHPB测试信号去噪[J].爆炸与冲击,2009,29(1):67-72.LIU Xiling,LI Xibing,HONG Liang,et al.Rock SHPB testing signal denoising based on discrete wavelet transform[J].Explosion and Shock Waves,2009,29(1):67-72.
[17]钱伟新,刘瑞根,王婉丽,等.一种新的闪光照相CCD图像的扩散滤波方法[J].爆炸与冲击,2006,26(4):351-355.QIAN Weixin,LIU Ruigen,WANG Wanli,et al.A new method of diffusion filtering for flash X-ray radiographic CCD image[J].Explosion and Shock Waves,2006,26(4):351-355.
[18]赵志刚,管聪慧.基于多尺度边缘检测的自适应阈值小波图像降噪[J].仪器仪表学报,2007,28(2):288-292.ZHAO Zhigang,GUAN Conghui.Wavelet image denoising based on multiscale edge detection and adaptive threshold[J].Chinese Journal of Scientific Instrument,2007,28(2):288-292.
[2]中国生,徐国元,江文武.基于小波变换的爆破地震信号去噪的应用[J].中南大学学报(自然科学版),2006,37(1):155-159.ZHONG Guosheng,XU Guoyuan,JIANG Wenwu.Application of denoising in blasting seismic signals based on wavelet transform[J].Journal of Center Sorth University(Science and Technology),2006,37(1):155-159.
[3]徐学勇,程康.爆破震动信号模极大值小波消噪方法的改进[J].爆炸与冲击,2009,29(2):194-198.XU Xueyong,CHENG Kang.Improvement of the wavelet transform maximum modulus method for blasting vibration signals[J].Explosion and Shock Waves,2009,29(2):194-198.
[4]夏晨曦,杨军,李顺波,等.最优小波包基算法在爆破振动信号去噪中的应用[J].爆破,2011,28(3):4-7.XIA Chenxi,YANG Jun,LI Shunbo,et al.Application of best wavelet packet basis algorithm in denoising of blasting vibration signal[J].Blasting,2011,28(3):4-7.
[5]熊正明,中国生,徐国元.基于平移不变小波爆破振动信号去噪的应用研究[J].金属矿山,2006(2):12-14.XIONG Zhengming,ZHONG Guosheng,XU Guoyuan.Application of denoising for blasting vibration signals based on translation invariant wavelet[J].Metal Mine,2006(2):12-14.
[6]李夕兵,张义平,左宇军,等.岩石爆破振动信号的EMD滤波与消噪[J].中南大学学报(自然科学版),2006,37(1):150-154.LI Xibing,ZHANG Yiping,ZUO Yujun,et al.Filtering and denoising of rock blasting vibration signal with EMD[J].Journal of Center Sorth University(Science and Technology),2006,37(1):150-154.
[7]赵明生,梁开水,罗元方,等.EEMD在爆破振动信号去噪中的应用[J].爆破,2011,28(2):17-20.ZHAO Mingsheng,LIANG Kaishui,LUO Yuanfang,et al.Application of EEMD in blasting vibration signal denoising[J].Blasting,2011,28(2):17-20.
[8]饶运章,王柳,饶睿,等.基于EMD与小波阈值的爆破震动信号去噪方法[J].福州大学学报(自然科学版),2015,43(2):271-277.RAO Yunzhang,WANG Liu,RAO Rui,et al.A method for blasting vibration signal denoising based on empircal mode decomposition and wavelet threshold[J].Journal of Fuzhou University(Natural Science Edition),2015,43(2):271-277.
[9]CHIEMENTIN X,KILUNDU B,RASOLOFONDRAIBE L,et al.Performance of wavelet denoising in vibration analysis:Highlighting[J].Journal of Vibration and Control,2012,18(6):850-858.
[10]HUANG N E,SHEN Z,Long S R,et al.The empirical mode decomposition and the Hibert spectrum for nonlinear and nonstationary time series analysis[J].Proceedings of Roval Society of London A,1998,454(3):903-995.DOI:10.1098/rspa.1998.0193.
[11]李夕兵,张义平,刘志祥,等.爆破震动信号的小波分析与HHT变换[J].爆炸与冲击,2005,25(6):528-535.LI Xibing,ZHANG Yiping,LIU Zhixiang,et al.Wavelet analysis and Hilbert-Huang transform of blasting vibration signal[J].Explosion and Shock Waves,2005,25(6):528-535.
[12]GIAOUR D,FINCH J W.Denoising using wavelets on electric drive applications[J].Electric Power Systems Research,2008,78(4):559-565.
[13]WU Zhaohua,HUANG N E.Ensemble empirical mode decom position a noise assisted data analysis method[J].Advances in Adaptive Data Analysis,2009,1(1):1-41.DOI:10.1142/S1793536909000047.
[14]陈仁祥,汤宝平,马靖华.基于EEMD的振动信号自适应降噪方法[J].振动与冲击,2012,31(15):82-86.CHEN Renxiang,TANG Baoping,MA Jinghua.Adaptived denoising method based on ensemble empirical mode decomposition for vibration signal[J].Journal of Vibration and Shock,2012,31(15):82-86.
[15]张雪英,谢飞,乔铁柱,等.基于EEMD与改进小波阈值的磁记忆信号降噪研究[J].太原理工大学学报,2015(5):592-597.ZHANG Xueying,XIE Fei,QIAO Tiezhu,et al.Denoising algorithm for metal magnetic memory signals based on EEMD and improved semisoft wavelet threshold[J].Journal of Taiyuan University of Technology,2015(5):592-597.
[16]刘希灵,李夕兵,洪亮,等.基于离散小波变换的岩石SHPB测试信号去噪[J].爆炸与冲击,2009,29(1):67-72.LIU Xiling,LI Xibing,HONG Liang,et al.Rock SHPB testing signal denoising based on discrete wavelet transform[J].Explosion and Shock Waves,2009,29(1):67-72.
[17]钱伟新,刘瑞根,王婉丽,等.一种新的闪光照相CCD图像的扩散滤波方法[J].爆炸与冲击,2006,26(4):351-355.QIAN Weixin,LIU Ruigen,WANG Wanli,et al.A new method of diffusion filtering for flash X-ray radiographic CCD image[J].Explosion and Shock Waves,2006,26(4):351-355.
[18]赵志刚,管聪慧.基于多尺度边缘检测的自适应阈值小波图像降噪[J].仪器仪表学报,2007,28(2):288-292.ZHAO Zhigang,GUAN Conghui.Wavelet image denoising based on multiscale edge detection and adaptive threshold[J].Chinese Journal of Scientific Instrument,2007,28(2):288-292.