希尔伯特-黄变换在地震资料去噪中的应用
|
摘要
希尔伯特-黄变换是最新发展起来的处理非线性非平稳信号的时频分析方法。介绍了该方法的基本原理、关键技术及其优势,将其应用于含随机噪音的地震信号的分解,结果表明,分解后的信号能够重构原始信号,这对地震资料的去噪有重要意义,值得进一步研究与推广。
Hilbert-Huang transformation is a newly developed time-frequency analysis method for dealing with non-linear and nonstationary signals.This paper briefly introduces the basic principle,several key technology and advantage of Hilbert-Huang transformation. And its application to the decomposition of seismic signals with random noise shows that the original signals can be reconstructed with this method,being worthy of further research and popularization.
Hilbert-Huang transformation is a newly developed time-frequency analysis method for dealing with non-linear and nonstationary signals.This paper briefly introduces the basic principle,several key technology and advantage of Hilbert-Huang transformation. And its application to the decomposition of seismic signals with random noise shows that the original signals can be reconstructed with this method,being worthy of further research and popularization.
引文
[1]Potter R K,Kopp G,Green H C.Visible speech[M].New York:Van Nostrand,1947.
[2]Morlet J,Arens E,Fourgeau E,et al.Wave propagation and sampling theory——part2:sampling theory and complex waves[J].Geophysics,1982,47(2):222-236.
[3]Qin Shuren,Chen Zhikui,Tang Baoping,et al.Research of wavelet transform instrument system for signal analysis[J]. Chinese Journal of Mechanical Engineering,2000,4(13): 114-121.
[4]徐维秀,岳继光,吴继伟,等.基于多次小波变换的小波域阈值地震信号去噪[J].新疆石油地质,2007,28(6): 764-767.
[5]刘静,杨秀文,曾顺鹏,等.小波变换在气层预测中的应用[J].新疆石油地质,2004,25(4):431-432.
[6]王在民,李莉,朱鹏飞,等.用平均能量法分频识别和压制面波[J].新疆石油地质,2005,26(6):653-655.
[7]刘兰锋,刘全新,雍学善,等.谱分析法对小波母函数的探讨及小波时频分析[J].新疆石油地质,2005,26(3):272- 274
[8]Huang N E,Shen Z,Long S R,et al.The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J].Proceedings of the Royal Society,1998,454:903-995.
[9]Huang N E,Wu M C,Long S R,et al.A confidence limit for the empirical mode decomposition and Hilbert spectral analysis[J].Proceedings of the Royal Society of London, 2003,459:2 317-2 345.
[10]黄大吉,赵进平,苏纪兰.希尔伯特-黄变换的端点延拓[J].海洋学报,2003,25(1):1-11.
[11]Chen Q H,Huang E,Riemenschneider S,et al.A B-spline approach for empirical mode decompositions[J].Advances in Computational Mathematics,2006,24:171-195.
[12]郑天翔,杨力华.经验模式分解算法的探讨与改进[J].中山大学学报(自然科学版),2007,46(1):1-6.
[13]段生全,贺振华,黄德济.HHT方法及其在地震信号处理中的应用[J].成都理工大学学报(自然科学版), 2005,32(4):396-400.
[2]Morlet J,Arens E,Fourgeau E,et al.Wave propagation and sampling theory——part2:sampling theory and complex waves[J].Geophysics,1982,47(2):222-236.
[3]Qin Shuren,Chen Zhikui,Tang Baoping,et al.Research of wavelet transform instrument system for signal analysis[J]. Chinese Journal of Mechanical Engineering,2000,4(13): 114-121.
[4]徐维秀,岳继光,吴继伟,等.基于多次小波变换的小波域阈值地震信号去噪[J].新疆石油地质,2007,28(6): 764-767.
[5]刘静,杨秀文,曾顺鹏,等.小波变换在气层预测中的应用[J].新疆石油地质,2004,25(4):431-432.
[6]王在民,李莉,朱鹏飞,等.用平均能量法分频识别和压制面波[J].新疆石油地质,2005,26(6):653-655.
[7]刘兰锋,刘全新,雍学善,等.谱分析法对小波母函数的探讨及小波时频分析[J].新疆石油地质,2005,26(3):272- 274
[8]Huang N E,Shen Z,Long S R,et al.The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J].Proceedings of the Royal Society,1998,454:903-995.
[9]Huang N E,Wu M C,Long S R,et al.A confidence limit for the empirical mode decomposition and Hilbert spectral analysis[J].Proceedings of the Royal Society of London, 2003,459:2 317-2 345.
[10]黄大吉,赵进平,苏纪兰.希尔伯特-黄变换的端点延拓[J].海洋学报,2003,25(1):1-11.
[11]Chen Q H,Huang E,Riemenschneider S,et al.A B-spline approach for empirical mode decompositions[J].Advances in Computational Mathematics,2006,24:171-195.
[12]郑天翔,杨力华.经验模式分解算法的探讨与改进[J].中山大学学报(自然科学版),2007,46(1):1-6.
[13]段生全,贺振华,黄德济.HHT方法及其在地震信号处理中的应用[J].成都理工大学学报(自然科学版), 2005,32(4):396-400.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心