HHT分析在地震信号处理中的应用
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摘要
HHT分析方法对于非平稳信号的处理是一种新的而优越的方法,它具有高度的自适应性和科学高效性,分解出来的IMF分量能够反映信号的本质特征,而且所分析得出的Hilbert能量谱可清楚的表明能量随时频分布的特点。首先通过仿真信号验证HHT分析方法的准确性、高效性和合理性,而后再利用HHT分析方法对于2007年Notohanto地震的主震的部分数据进行处理,从数据分析的结果中探究地震的内在特点和规律,从而为减少地震发生后的经济损失作出贡献。
The new analytical method HHT is especially suitable for processing on non-stationary signal.Based on its adaptability,science and efficiency,the IMF components which are decomposed from non-stationary signals by the method reflect substitutive characteristics of signals and Hilbert.energy spectrum describing the characteristics of energy along with time-frequency distribution is proposed.Firstly,using analog signals proves the accuracy,efficiency,and rationality of the method.Then partial data from the main earthquake happened in Notohanto 2007 is analyzed by using HHT analytical method.Therefore,the exploration of inner rules and features of earthquakes can be conducted based on the result of data analysis,which will make a contribution to the reduction of economic losses after earthquakes.
The new analytical method HHT is especially suitable for processing on non-stationary signal.Based on its adaptability,science and efficiency,the IMF components which are decomposed from non-stationary signals by the method reflect substitutive characteristics of signals and Hilbert.energy spectrum describing the characteristics of energy along with time-frequency distribution is proposed.Firstly,using analog signals proves the accuracy,efficiency,and rationality of the method.Then partial data from the main earthquake happened in Notohanto 2007 is analyzed by using HHT analytical method.Therefore,the exploration of inner rules and features of earthquakes can be conducted based on the result of data analysis,which will make a contribution to the reduction of economic losses after earthquakes.
引文
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[3]RILLINGG,FLANDRIN P,GONCAIJVES P.On Empirical ModeDecomposition and its algorithms[C].IEEE.EURASIP Work-shop on Nonlinear Signal and Image Processing,Grado(I).June9-11,2003.
[4]CHEN Q H,HUANG N E,RIEMENSCHNEIDER S,XU Y S.A B-spline approach for empirical mode decompositions[J].Advancesin Computational Mathematics,2006(24):171—195.
[5]黄大吉,赵进平,苏纪兰.希尔波特-黄变换的端点延拓[J].海洋学报,2003,25(1):1-11.(HUANG Da-ji,ZHAO Jin-ping,SU Ji-lan.Practical implementation of the Hilbert-HuangTransform algorithm[J].Acta Oceanologica Sinica,2003,25(1):1-11.)
[6]曾峰.基于经验模式分解的信号处理方法研究[D].郑州:河南大学,2007.(Zeng Feng.The Research of Signal ProcessingMethod Based on the Empirical Mode Decomposition[D].Zhengzhou:Henan University,2007.)
[7]谢桂海,李浩,杨磊.非平稳数据处理方法与瞬时频率[J].军械工程学报,2006,18(6):70-74.(Xie Guihai,Li Hao,YangLei.Non-stationary Data Processing Methods and InstantaneousFrequency[J].JOURNAL OF ORDNANCE ENGINEERINGCOLLEGE,2006,18(6):70-74.)
[8]张义平,李夕兵,左宇军.爆破振动信号的HHT分析与应用[M].冶金工业出版社,2008.(Zhang Yiping,Li Xibin,ZuoYujun.HHT analysis of blasting vibration and its application[M].Metallurgical Industry Press,2008.)
[9]钟佑明.希尔伯特-黄变换局瞬信号分析理论的研究[D].重庆:重庆大学,2002.(Zhong Youming.Research on the Local-in-stantaneous Signal Analysis Theory of the Hilbert-Huang Transform[D].Chongqing:Chongqing University,2002)
[10]张义平,李夕兵,赵国彦.基于HHT方法的爆破地震信号分析[J].工程爆破,2005,(1):l-7.(ZHANG Yi-ping,LI Xi-bing,ZHAO Guo-yan.ANALYSIS OF BLASTING VIBRATION SIG-NAL BASED ON HHT METHOD.Engineering Blasting,2005,(1):l-7.)
[11]杨军伟.爆破振动信号特征分析方法及其应用研究[D].长沙:湖南科技大学,2009.(Yang Junwei.Study on B1asting in-duced vibration analysis and Its application[D].Changsha:Hunanuniversity of science and technology,2009.)
[12]胡昌华.基于MATLAB的系统分析与设计-小波分析[M].西安电子科技大学出版社,1999.(HU Changhua.System Analysisand Design Based on MATLAB-Wavelet Analysis[M].Xi'an:Xi'an Electronic Science&Technology University Press,1999.)
[13]程磊,瞿伟廉.基于Hilbert-Huang变换理论的非平稳数据处理[J].建筑科学与工程学报,2007,24(1):26-29.(CHENG Lei,QU Weilian.Non-stationary Data Processing Based on Hilbert-Huang Transform Theory[J].Journal of Architecture and Civil En-gineering,2007,24(1):26-29.)
[14][美]L.科恩著白居宪译.时频分析理论及其应用[M].西安:西安交通大学出版社,1998.(L.cohen,BaiJuxian.Time-Frequency Analysis:Theory and Applications[M].XI'AN Jiao-tong UniversityPress,1998.)
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