An adaptive filtering denoising method based on generalized S-transform and Gaussian smoothing
Cao Pengtao1,2, Zhang Min1,2, Li Zhenchun1,2
1. School of Geosciences, China University of Petroleum(East China), Qingdao, Shandong 266580, China; 2. National Laboratory for Marine Sciences and Technology, Qingdao, Shandong 266071, China
Abstract:The conventional time-frequency filtering denoising method based on generalized S-transform needs human-computer interaction to determine the suppression range of high-frequency noise in the time-frequency domain.To overcome this shortcoming,an adaptive denoising method is developed with jointing the generalized S-transform adaptive time-frequency filtering and the Gaussian smoo-thing denoising algorithm.First,signals are processed with the generalized S-transform into time-frequency domain data.Then in the process of reconstructing the time domain signal by the inverse S-transform,the data adaptive time-varying filtering function is used to remove most of high-frequency random noise.Finally the Gaussian smoothing filter function is used to remove the residual high-frequency random noise of the signals.Tests on model and real data verify the correctness and effectiveness of the proposed method in removing high-frequency random noise on seismic data.Compared with the conventional method,the proposed method is less affected by processing parameters and the time-frequency resolution of the signal in the processed data is also higher.
郑成龙,王宝善.S变换在地震资料处理中的应用及展望.地球物理学进展,2015,30(4):1580-1591.Zheng Chenglong,Wang Baoshan.Application of S transform in seismic data processing.Progress in Geophysics,2015,30(4):1580-1591.
[2]
Pinnegar C R and Eaton D W.Application of S transform to prestack noise attenuation filtering.Journal of Geophysical Research,2003,108(B9):2422-2443.
[3]
高静怀,满蔚仕,陈树民.广义S变换域有色噪声与信号识别方法.地球物理学报,2004,47(5):869-875.Gao Jinghuai,Man Weishi,Chen Shumin.Recognition of signals from colored noise background in genera-lized S transform domain.Chinese Journal of Geophy-sics,2004,47(5):869-875.
[4]
陈学华,贺振华,黄德济.基于广义S变换的信号提取与抑噪.成都理工大学学报(自然科学版),2006,33(4):331-335.Chen Xuehua,He Zhenhua,Huang Deji.Signal extraction and noise suppression based on generalized S transform.Journal of Chengdu University of Techno-logy (Natural Science Edition),2006,33(4):331-335.
[5]
Schimmel M and Gallart J.The inverse S transform in filters with time-frequency localization.IEEE Tran-sactions on Signal Processing,2005,53(11):4417-4422.
张晓峰.基于广义S变换的地震资料信噪分离方法.物化探计算技术,2010,32(5):480-483.Zhang Xiaofeng.Signal segmentation of seismic data based on generalized S transform.Computing Techniques for Geophysical and Geochemical Exploration,2010,32(5):480-483.
[8]
金智尹,柏强.基于广义S变换的高斯领域时频滤波方法.电子测量与仪器学报,2015,29(1):125-131.Jin Zhiyin,Bai Qiang.Time-frequency filtering in Gaussian domain based on generalized S-transform.Journal of Electronics & Measurements,2015,29(1):125-131.
[9]
刘永春,童敏明,陈琳等.基于广义S变换的声发射信号去噪研究.计算机应用研究,2011,28(12):4535-4536.Liu Yongchun,Tong Minming,Chen Lin et al.Research on de-noising of acoustic emission signals based on generalized S transform.Application Research of Computers,2011,28(12):4535-4536.
[10]
李雪英,孙丹,侯相辉等.基于广义S变换、经验模态分解叠前去噪方法的比较.地球物理学进展,2011,26(6):2039-2045.Li Xueying,Sun Dan,Hou Xianghui et al.Comparison of pre-stack de-noising method based on generalized S-transform and empirical mode decomposition.Progress in Geophysics,2011,26(6):2039-2045.
[11]
张岩,任伟建,唐国维.利用多道相似组稀疏表示方法压制随机噪声.石油地球物理勘探,2017,52(3):442-450.Zhang Yan,Ren Weijian,Tang Guowei.Random noise suppression based on sparse representation of multi-trace similarity group.OGP,2017,52(3):442-450.
[12]
张华,陈小宏,李红星等.曲波变换三维地震数据去噪技术.石油地球物理勘探,2017,52(2):226-232.Zhang Hua,Chen Xiaohong,Li Hongxing et al.3D seismic data de-noising approach based on Curvelet transform.OGP,2017,52(2):226-232.
[13]
张恒磊,胡哲,胡祥云等.基于反射波各向异性特征的保真去噪方法.石油地球物理勘探,2017,52(2):233-241.Zhang Henglei,Hu Zhe,Hu Xianyun et al.Seismic fidelity denoising method with reflection anisotropy.OGP,2017,52(2):233-241.
[14]
宋维琪,刘太伟.地面微地震资料τ-p变换噪声压制.石油地球物理勘探,2015,50(1):48-53.Song Weiqi,Liu Taiwei.Noise suppression by τ-p transform of surface microseismic data.OGP,2015,50(1):48-53.
[15]
赵军龙,刘建建.常规测井曲线的小波和希尔伯特-黄变换滤波效果分析.石油地球物理勘探,2016,51(4):801-808.Zhao Junlong,Liu Jianjian.Analysis of wavelet and Hilbert-Huang transform filtering of conventional well logging curve.OGP,2016,51(4):801-808.
[16]
Wang D,Wang J,Liu Y et al.An adaptive time-frequency filtering algorithm for multi-component LFM signals based on generalized S-transform.IEEE International Conference on Automation and Computing,2015,1-6.
[17]
张先武,高云泽,方广有.带有低通滤波的广义S变换在探地雷达层位识别中的应用.地球物理学报,2013,56(1):309-316.Zhang Xianwu,Gao Yunze,Fang Guangyou.Application of generalized S-transform with low-pass filter in ground penetrating radar layer recognition.Chinese Journal of Geophysics,2013,56(1):309-316.
[18]
黄捍东,冯娜.广义S变换地震高分辨率处理方法研究.石油地球物理勘探,2014,49(1):82-88.Hunag Handong,Feng Na.High-resolution seismic processing method based on generalized S transform.OGP,2014,49(1):82-88.
[19]
Pinnegar C R and Mansinha L.The S-transform with windows of arbitrary and varying shape.Geophysics,2003,68(1):381-385.
[20]
Stockwell R G,Mansinha L,Lowe R P.Localization of the complex spectrum:the S transform.IEEE Transactions on Signal Processing,1996,44(4):998-1001.
[21]
Mansinha L,Stockwell R G.Local S-spectrrum analy-sis of 1-D and 2-D data.Physics of the Earth and Planetary Interios,1997,103(3-4):329-336.
[22]
高静怀,陈文超,李幼铭等.广义S变换与薄互层地震响应分析.地球物理学报,2003,46(4):526-532.Gao Jinghuai,Chen Wenchao,Li Youming et al.Ge-neralized S-transform and seismic analysis of thin interbed.Chinese Journal of Geophysics,2003,46(4):526-532.
[23]
齐春艳,李彦鹏,彭继新等.一种改进的广义S变换.石油地球物理勘探,2010,45(2):215-218.Qi Chunyan,Li Yanpeng,Peng Jixin et al.An improved generalized S transform.OGP,2010,45(2):215-218.
[24]
唐良瑞,祁兵,杨雪等.一种基于高斯滤波器的电能质量信号去噪算法.中国电机工程学报,2006,26(10):18-22.Tang Liangrui,Qi Bing,Yang Xue et al.A de-noising algorithm for power quality signal based on Gaussian filter.Chinese Journal of Electrical Engineering,2006,26(10):18-22.
李惠芬,蒋向前,李柱.高斯滤波稳健性能的研究与改进.仪器仪表学报,2004,(5):633-637.Li Huifen,Jiang Xiangqian,Li Zhu.Study and improvement of robust performance of Gaussian filter. Chinese Journal of Scientific Instrument,2004,(5):633-637.
[27]
王文远.基于图像信噪比选择优化高斯滤波尺度.电子与信息学报,2009,31(10):2483-2487.Wang Wenyuan.Optimization of Gaussian filter selection based on image SNR.Journal of Electronics & Information Technology,2009,31(10):2483-2487.