广义S变换时频分析在广域电磁法数据处理中的应用
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摘要
广义S变换是一种可逆的局部时频分析方法,是短时傅里叶变换和小波变换的延伸和推广。利用广义S变换对广域电磁时间序列数据进行分析,除了可以划定噪声区域便于实施滤波去噪之外,还可以提高数据频谱分析精度。针对广域电磁数据特点,基于广义S变换提出了适合广域电磁法的广义S变换处理流程,进行了信号的仿真实验。同时,也对广域电磁法实测数据进行了处理,高信噪比数据的处理结果证实了广义S变换的有效性和准确性。强干扰数据处理的结果表明,获取的信号质量比基于傅里叶变换的传统方法有明显提高。处理效果表明,提出的方法适用于广域电磁法数据处理。
The generalized S transform is a reversible local time-frequency analysis method, which is the extension of the short time fourier transform and the wavelet transform. This method is used to analyze the time series data of wide-field electromagnetic method. On the one hand, the noise area can be found to facilitate the noise filtering process. On the other hand, it can improve the accuracy of data spectrum analysis. Based on the generalized S transform and the wide field electromagnetic data processing method, a generalized S transform processing flow suitable for wide area electromagnetic method is proposed. At the same time, processing the measured data with high signal-to-noise ratio confirms the validity and accuracy of the method. It achieves high quality data for processing the measured data with strong interference. The results show that the method proposed in this paper is suitable for the data processing of the wide field electromagnetic method.
The generalized S transform is a reversible local time-frequency analysis method, which is the extension of the short time fourier transform and the wavelet transform. This method is used to analyze the time series data of wide-field electromagnetic method. On the one hand, the noise area can be found to facilitate the noise filtering process. On the other hand, it can improve the accuracy of data spectrum analysis. Based on the generalized S transform and the wide field electromagnetic data processing method, a generalized S transform processing flow suitable for wide area electromagnetic method is proposed. At the same time, processing the measured data with high signal-to-noise ratio confirms the validity and accuracy of the method. It achieves high quality data for processing the measured data with strong interference. The results show that the method proposed in this paper is suitable for the data processing of the wide field electromagnetic method.
引文
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[18] 孙月.基于广义S变换和阈值函数的地震信号去噪研究[D].长春:吉林大学,2012.SUN Y.Seismic signal denoising based on generalized S transform and threshold function[D].Changchun:Jilin University,2012.(In Chinese)
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[20] 王娟,何怡刚,方葛丰,等.归一化窗S变换和TT变换联合时频滤波[J].计算机应用研究,2012,29(11):4254-4256.WANG J,HE Y G,FANG G F,et al.NWST and TT-ransform joint time-frequency filtering[J].Application Research of Computers,2012,29(11):4254-4256.(In Chinese)
[21] 李帝铨,胡艳芳.强干扰矿区中广域电磁法与CSAMT探测效果对比[J].物探与化探,2015,39(5):967-972.LI D Q,HU Y F.Acomparison of field electromagnetic method with CSAMT method in strong interferential mining area[J].Geophysical and Geochemical Exploration,2015,39(5):967-972.(In Chinese)
[22] 何继善.广域电磁法和伪随机信号电法[M].高等教育出版社,2010.HE J S.Guangyu Diancifa.Wide area electromagnetic method and Pseudo-random signal electric method[M].Higher Education Press,2010.(In Chinese)
[23] 杨册.广域电磁法有效信号提取中的FIR数字滤波技术研究[D].长沙:中南大学,2012.YANG C.Research on FIR digital filtering in effective signal extraction of wide area electromagnetic method[D].Changsha:Central South University,2012.(In Chinese)
[2] 凌振宝,王沛元,万云霞,等.强人文干扰环境的电磁数据小波去噪方法研究[J].地球物理学报,2016,59(9):3436-3447.LING Z B,WANG P Y,WAN Y X,et al.A combined wavelet transform algorithm used for de-noising magnetotellurics data in the strong human noise[J].Chinese Journal of Geophysics,2016,59(9):3436-3447.(In Chinese)
[3] 蔡剑华,熊锐.基于频率切片小波变换的时频分析与MT信号去噪[J].石油物探,2016,55(6):904-912.CAI J H,XIONG R.Magnetotelluric data denosing based on time-frequency analysis of the frequency slice wavelet transform[J].Geophysical Prospecting for Petroleum,2016,55(6):904-912.(In Chinese)
[4] 武国宁,曹思远,马宁,等.S变换的时频分析特性及其改进[J].地球物理学进展,2011,26(5):1661-1667.WU G N,CAO S Y,MA N,et al.The time frequency property of S transform and its generalization[J].Progress in Geophysics,2011,26(5):1661-1667.(In Chinese)
[5] 贺梅.基于广义S变换的时频分析方法及其应用[D].长春:吉林大学,2015.HE M.Time frequency analysis method based on generalized S transform and its application[D].Changchun:Jilin University,2015.(In Chinese)
[6] 景建恩,魏文博,陈海燕,等.基于广义S变换的大地电磁测深数据处理[J].地球物理学报,2012,55(12):4015-4022.JING J E,WEI W B,CHEN H Y,et al.Magnetotelluric sounding data processing based on generalized S transformation[J].Chnese Journal of Geophysics,2012,55(12):4015-4022.(In Chinese)
[7] 陈海燕,景建恩,魏文博.广义S变换时频域滤波在MT数据处理中的应用[J].现代地质,2012,26(6):1212-1217.CHEN H Y,JING J E,WEI W B.GST Time-frequency Filter Application in MT Data Processing[J].Geoscience,2012,26(6):1212-1217.(In Chinese)
[8] R.G.STOCKWELL,L.MANSINHA,R.P.LOWE.Localization of the complex spectrum:the S transform[J].IEEE Transactions on Signal Processing,2002,44(4):998-1001.
[9] 陈学华,贺振华,黄德济.基于广义S变换的信号提取与抑噪[J].成都理工大学学报(自科版),2006,33(4):331-335.CHEN X H,HE Z H,HUANG D J.Signal extracting and denoising based on generalized Stransform[J].Journal of Chengdu University of Techonlogy(Science&Technology Edition),2006,33(4):331-335.(In Chinese)
[10] 周竹生,陈友良.含可变因子的广义S变换及其时频滤波[J].煤田地质与勘探,2011,39(6):63-66.ZHOU Z S,CHEN Y L.Gealized S-transform with variable-factor and its time-frequency filtering[J].goal geology&exploration,2011,39(6):63-66.(In Chinese)
[11] DJUROVIc' I,SEJDI?E,JIANG J.Frequency-based window width optimization for -transform[J].AEU - International Journal of Electronics and Communications,2008,62(4):245-250.
[12] PINNEGAR C R,MANSINHA L.The S‐transform with windows of arbitrary and varying shape[J].Geophysics,2003,68(10):381.
[13] BROWN R A,FRAYNE R.A fast discrete S-transform for biomedical signal processing[J].Conf Proc IEEE Eng Med Biol Soc,2008,2008:2586-2589.
[14] KUMAR R,SINGH B,SHAHANI D T,et al.Recognition of Power-Quality Disturbances Using S-Transform-Based ANN Classifier and Rule-Based Decision Tree[J].Industry Applications IEEE Transactions on,2013,51(2):1249-1258.
[15] SEJDIC E,DJUROVIC I,JIANG J.A window width optimized S-transform[J].Eurasip Journal on Advances in Signal Processing,2007,2008(1):672941.
[16] 姬战怀,严胜刚.关于“一种改进广义S变换”的讨论[J].石油地球物理勘探,2015,50(6):1224-1230.JI Z H,YAN S G.Discussing on ‘An improved generalized S transform’[J].Oil Geophysical Prospecting,2015,50(6):1224-1230.(In Chinese)
[17] 杨阳.广义S变换时频分析的应用研究[D].哈尔滨:哈尔滨工程大学,2011.YANG Y.The application of time-frequency analysis of generalized S transform[D].Harbin:Harbin Engineering University,2011.(In Chinese)
[18] 孙月.基于广义S变换和阈值函数的地震信号去噪研究[D].长春:吉林大学,2012.SUN Y.Seismic signal denoising based on generalized S transform and threshold function[D].Changchun:Jilin University,2012.(In Chinese)
[19] 陈友良.时频分析在地震信号处理中的研究及应用[D].长沙:中南大学,2011.CHEN Y L.Research and application of time frequency analysis in seismic signal processing[D].Changsha:Central South University,2011.(In Chinese)
[20] 王娟,何怡刚,方葛丰,等.归一化窗S变换和TT变换联合时频滤波[J].计算机应用研究,2012,29(11):4254-4256.WANG J,HE Y G,FANG G F,et al.NWST and TT-ransform joint time-frequency filtering[J].Application Research of Computers,2012,29(11):4254-4256.(In Chinese)
[21] 李帝铨,胡艳芳.强干扰矿区中广域电磁法与CSAMT探测效果对比[J].物探与化探,2015,39(5):967-972.LI D Q,HU Y F.Acomparison of field electromagnetic method with CSAMT method in strong interferential mining area[J].Geophysical and Geochemical Exploration,2015,39(5):967-972.(In Chinese)
[22] 何继善.广域电磁法和伪随机信号电法[M].高等教育出版社,2010.HE J S.Guangyu Diancifa.Wide area electromagnetic method and Pseudo-random signal electric method[M].Higher Education Press,2010.(In Chinese)
[23] 杨册.广域电磁法有效信号提取中的FIR数字滤波技术研究[D].长沙:中南大学,2012.YANG C.Research on FIR digital filtering in effective signal extraction of wide area electromagnetic method[D].Changsha:Central South University,2012.(In Chinese)
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