希尔伯特-黄变换及其在信号处理中的应用研究
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摘要
希尔伯特-黄变换(HHT)是分析和处理非线性、非平稳信号的一种新而有效的方法。文中深入研究了HHT方法的基本原理,经验模态分解(EMD)和Hilbert谱;并用仿真实例对该方法进行了更详细的说明;最后综述了该方法在地球物理学、电力工程和生物医学领域中的应用,进一步说明HHT方法在信号处理中的有效性和优越性。
Hilbert-Huang Transform(HHT) is a new and effective method of analyzing and processing nonlinear and non-stationary signal.The paper deeply studies the basic principle of HHT method,empirical mode decomposition(EMD) and Hilbert spectrum,and illustrates the process of HHT with simulation instance in more detail.Finally,this paper summarizes the applications of the method in geophysics,power engineering and biomedical filed,which further shows the validity and superiority of HHT method in signal processing.
Hilbert-Huang Transform(HHT) is a new and effective method of analyzing and processing nonlinear and non-stationary signal.The paper deeply studies the basic principle of HHT method,empirical mode decomposition(EMD) and Hilbert spectrum,and illustrates the process of HHT with simulation instance in more detail.Finally,this paper summarizes the applications of the method in geophysics,power engineering and biomedical filed,which further shows the validity and superiority of HHT method in signal processing.
引文
[1]张义平.爆破震动信号的HHT分析与应用研究[D].长沙:中南大学,2006.ZHANG Yi-ping.HHT Analysis of Blasting Vibration and Its Application[D].Changsha:Central South University,2006
[2]HUANG N E,ZHENG S,LONG S R,et al.The Empirical Mode Decom-position and the Hilbert Spectrum for Nonlinear and Non-stationary TimeSeries Analysis[J].Proc.R.Soc.Lond.A,1998,454:903-995.
[3]WU M L,SCHUBERT S,HHANG N E.The Development of the SouthAsian Summer Monsoon and the Intraseasonal Oscillatio[J].Journal of Cli-mate,1999,12:2054-2075.
[4]王勤,陈显尧,王秀红.德雷克海峡上层海洋温度的年代际变化[J].海洋科学进展,2009,27(4):429-433.WANG Qin,CHEN Xian-yao,WANG Xiu-hong.Decadal Variation ofUpper Ocean Temperature in the Drake Passage[J].Advances in MarineScience,2009,27(4):429-433.
[5]杨周,林振山.北半球过去2000年气温变化的多尺度分析[J].地球科学,2010,30(2):295-299.YANG Zhou,LIN Zhen-shan.Multiscale Analysis of Northern HemisphereTemperature Changes Over Past Two Millennia[J].Scientia GeographicaSinica,2010,30(2):295-299.
[6]公茂盛,谢礼立.HHT方法在地震工程中的应用之初步探讨[J].世界地震工程,2003,19(3):40-43.GONG Mao-sheng,XIE Li-li.Discussion on the Application of HHT Methodto Earthquake Engineering[J].World Earthquake Engineering,2003,19(3):40-43.
[7]刘强,周瑞忠,刘宇航.基于HHT变换的结构地震响应与能量计算分析[J].武汉大学学报(工学版),2009,42(6):780-784.LIU Qiang,ZHOU Rui-zhong,LIU Yu-hang.Computation and Analysis ofSeismic Response and Energy based on Hilbert-Huang Transform[J].Journalof Wuhan University(Engineering),2009,42(6):780-784.
[8]ANTONINO-DAVIU J A,RIERA-GUASP M,PINEDA-SANCHEZM A,etal.Critical Comparison Between DWT and Hilbert-Huang-based Methodsfor the Diagnosis of Rotor Bar Failures Induction Machines[J].IEEE Transa-ctions on Industry Applications,2009,45(5):1794-1803.
[2]HUANG N E,ZHENG S,LONG S R,et al.The Empirical Mode Decom-position and the Hilbert Spectrum for Nonlinear and Non-stationary TimeSeries Analysis[J].Proc.R.Soc.Lond.A,1998,454:903-995.
[3]WU M L,SCHUBERT S,HHANG N E.The Development of the SouthAsian Summer Monsoon and the Intraseasonal Oscillatio[J].Journal of Cli-mate,1999,12:2054-2075.
[4]王勤,陈显尧,王秀红.德雷克海峡上层海洋温度的年代际变化[J].海洋科学进展,2009,27(4):429-433.WANG Qin,CHEN Xian-yao,WANG Xiu-hong.Decadal Variation ofUpper Ocean Temperature in the Drake Passage[J].Advances in MarineScience,2009,27(4):429-433.
[5]杨周,林振山.北半球过去2000年气温变化的多尺度分析[J].地球科学,2010,30(2):295-299.YANG Zhou,LIN Zhen-shan.Multiscale Analysis of Northern HemisphereTemperature Changes Over Past Two Millennia[J].Scientia GeographicaSinica,2010,30(2):295-299.
[6]公茂盛,谢礼立.HHT方法在地震工程中的应用之初步探讨[J].世界地震工程,2003,19(3):40-43.GONG Mao-sheng,XIE Li-li.Discussion on the Application of HHT Methodto Earthquake Engineering[J].World Earthquake Engineering,2003,19(3):40-43.
[7]刘强,周瑞忠,刘宇航.基于HHT变换的结构地震响应与能量计算分析[J].武汉大学学报(工学版),2009,42(6):780-784.LIU Qiang,ZHOU Rui-zhong,LIU Yu-hang.Computation and Analysis ofSeismic Response and Energy based on Hilbert-Huang Transform[J].Journalof Wuhan University(Engineering),2009,42(6):780-784.
[8]ANTONINO-DAVIU J A,RIERA-GUASP M,PINEDA-SANCHEZM A,etal.Critical Comparison Between DWT and Hilbert-Huang-based Methodsfor the Diagnosis of Rotor Bar Failures Induction Machines[J].IEEE Transa-ctions on Industry Applications,2009,45(5):1794-1803.
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