双密度双树小波变换的闪电信号去噪研究
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摘要
为了克服噪声对闪电信号数据处理的影响,提出了一种基于双密度双树小波变换的闪电信号去噪方法。采用该方法分别对标准闪电波和实测的闪电信号进行了去噪研究,实验结果表明双密度双树小波变换能够有效滤除闪电信号中的噪声,效果优于传统的小波阈值法,而且比硬件去噪更加经济、方便和实用,值得进一步的推广和应用。
To alleviate the effect of noise on lightning signal data processing,a denoising method based on Double Density Dual Tree wavelet is proposed.General lightning signal and real lightning signal are denoised with this method respectively.Experiment results show the proposed method can effectively alleviate noise of lightning signal and it is superior to the traditional wavelet threshold.Compared with denoising method based on hardware,the proposed method is more economical,convenient and practical.
To alleviate the effect of noise on lightning signal data processing,a denoising method based on Double Density Dual Tree wavelet is proposed.General lightning signal and real lightning signal are denoised with this method respectively.Experiment results show the proposed method can effectively alleviate noise of lightning signal and it is superior to the traditional wavelet threshold.Compared with denoising method based on hardware,the proposed method is more economical,convenient and practical.
引文
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[14]Guo Wei,Zhang Ping,Chen Xi,et al.Research on synthetic aperture radar image denoising with double density dua-l tree complex wavelet transform[J].Acta Electronica Sinica,2009,37(12):1747-2752.(in Chinese)郭巍,张平,陈曦,等.基于双密度双树复数小波变换的合成孔径雷达图像降噪研究[J].电子学报,2009,37(12):1747-2752.
[15]Yue Jin,Yang Ruliang,Huan Ruohong.Research on image fusion with double density dual-tree complex wavelet transform[J].Journal of Electronics&Information Technology,2009,31(1):129-133.(in Chinese)岳晋,杨汝良,宦若虹.基于双密度双树复数小波变换的图像融合研究[J].电子与信息学报,2009,31(1):129-133.
[16]C F Wagner,G D McCann.Induced volta-ges on transmission lines[J].Trans.Amer.Inst.Elec.Engrs.,1942,61:916-930.
[2]Lan Yu,Zhang Yijun,LüWeitao,et al.The lightning radiation field spectra of cloud-to-ground,intra-cloud flashes and narrow bipolar events in the intervals of 0.1 to 40MHz[J].Plateau Meteorology,2009,5(10):1025-1033.(in Chinese)蓝渝,张义军,吕伟涛,等.0.1~40 MHz地闪、云闪及NBE事件的辐射场频谱特征分析[J].高原气象,2009,5(10):1025-1033.
[3]Cao Dongjie,Tian Liyan,Xiao Jin,et al.A fast recording,display and waveform analysis system on multi parameter of lightning flash[J].Plateau Meteorology,2011,2(4):518-524.(in Chinese)曹冬杰,田立言,肖瑾,等.闪电多参量高速大容量实时数据采集、显示和分析系统[J].高原气象,2011,2(4):518-524.
[4]Li Peng,Zheng Yi,Zhang Yijun.Denoising methods of lightning transient electrical signals[J].High Power Laser and Particle Beams,2007,19(12):2055-2059.(in Chinese)李鹏,郑毅,张义军.闪电瞬态电场信号波形去噪方法[J].强激光与粒子束,2007,19(12):2055-2059.
[5]Feisi Science and Technology Research Center.Wavelet nalysis and MATLAB R2007 Application[M].Beijing:Publishang House of Electronics Industry,2005.(in Chinese)飞思科技产品研发中心编著.小波分析理论与MATLAB7.0实现[M].北京:电子工业出版社,2005.
[6]Li Yingchun,Sun Jiping,Fu Xingjian.Infrared image denoising based on wavelet transform[J].Laser&Infrared,2006,36(10):988-991.(in Chinese)李迎春,孙继平,付兴建.基于小波变换的红外图像去噪[J].激光与红外,2006,36(10):988-991.
[7]Kingsbury N G.Image processing with complex wavelets[J].Phil.Trans.Roy.Soc.,1999,357(9):2543-2560.
[8]Li Mingxi,Mao Hanping,Zhang Yancheng.Study of the actual image denoising method based on lift-wavelet analysis and median filter technology[J].Laser&Infrared,2007,37(10):1109-1111.(in Chinese)李明喜,毛罕平,张艳诚.基于提升小波变换和中值滤波的图像去噪方法研究[J].激光与红外,2007,37(10):1109-1111.
[9]Zhou Yunchuan,He Yongqiang,Li Jitian.Infrared image enhancement method based on wavelet transformation and grayscale morphology[J].Laser&Infrared,2011,41(6):683-686.(in Chinese)周云川,何永强,李计添.基于小波和灰度形态学的红外图像增强方法[J].激光与红外,2011,41(6):683-686.
[10]Selesnick I W,Baraniuk R G,Kingsbury N G.The dualtree complex wavelet transform[J].IEEE Signal Processing maga-zine(S1053-5888),2005,22(6):123-151.
[11]Selesnick I W.The double2density dual2t ree[J].IEEE Transactions on Signal Processing,2004,52(5):1304-1314.
[12]Li Peng,Yu Gang,Ji Xiaoyan,et al.Denoising of ultrasonic image via double density dual tree wavelet combined with bivariate shrinkage with local variance estimation[J].Journal of System Simulation,2007,24(12):5797-5801.(in Chinese)李鹏,喻罡,冀晓燕,等.基于双密度双树小波变换的超声图像降噪[J].系统仿真学报,2007,24(12):5797-5801.
[13]Yao Bin,Zheng H anyuan,Zhang Heng,et al.Image Denoising via double density dual tree wavelet transform[J].Journal of Shihezi University(Natural Science),2010,28(2):261-264.(in Chinese)姚斌,郑汉垣,张衡,等.基于双密度双树小波变换的图像去噪[J].石河子大学学报(自然科学版),2010,28(2):261-264.
[14]Guo Wei,Zhang Ping,Chen Xi,et al.Research on synthetic aperture radar image denoising with double density dua-l tree complex wavelet transform[J].Acta Electronica Sinica,2009,37(12):1747-2752.(in Chinese)郭巍,张平,陈曦,等.基于双密度双树复数小波变换的合成孔径雷达图像降噪研究[J].电子学报,2009,37(12):1747-2752.
[15]Yue Jin,Yang Ruliang,Huan Ruohong.Research on image fusion with double density dual-tree complex wavelet transform[J].Journal of Electronics&Information Technology,2009,31(1):129-133.(in Chinese)岳晋,杨汝良,宦若虹.基于双密度双树复数小波变换的图像融合研究[J].电子与信息学报,2009,31(1):129-133.
[16]C F Wagner,G D McCann.Induced volta-ges on transmission lines[J].Trans.Amer.Inst.Elec.Engrs.,1942,61:916-930.