主频占优镶边滤波器分解信号为本征模态函数的方法
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摘要
针对本征模态函数分解方法FFDSI存在的问题,首先将信号变换到频率域,采用以主频率为始点逐渐向两边扩大频率通过带宽度的方法,寻求一种最宽带通镶边滤波器,使信号经此滤波器滤波后得到的信号为本征模态函数。然后,从原信号减去此模态函数并重复这一过程,便可实现信号的本征模态函数分解。新方法不仅可以有效削弱吉布斯效应,较好地反映信号的瞬时特性,尽可能地降低拆分"拍"信号的机率,而且在分解过程中还同时得到了本征模态函数的解析信号,这为以后计算Hilbert谱提供了很大便利。文中还对风浪信号进行了分解,得到了5个有意义的主要本征模态函数。
For the problems existing in decomposition method of FFDSI,firstly the signal is transformed from time to frequency domain,and then based upon a method,through which the main frequency is taken as the initial point expanding pass band to both sides gradually,the widest pass band mount edge filter is found and then the filtered signal is turn to be the intrinsic mode function.Next,the mode function is subtracted from the raw signal and the above process is repeated,thus,the raw signal is decomposed into a series of intrinsic mode functions.The new method can not only weak the Gibbs′ phenomenon effectively,reflect the instantaneous character better,reduce the chance to split "beat" signal as far as possible,but also get the analytical signals of the intrinsic mode functions simultaneously,which will provide a great convenience in later calculation of Hilbert spectrum.In the paper,the new method is used in the wind wave signal decomposition and the five main meaningful intrinsic mode functions are obtained.
For the problems existing in decomposition method of FFDSI,firstly the signal is transformed from time to frequency domain,and then based upon a method,through which the main frequency is taken as the initial point expanding pass band to both sides gradually,the widest pass band mount edge filter is found and then the filtered signal is turn to be the intrinsic mode function.Next,the mode function is subtracted from the raw signal and the above process is repeated,thus,the raw signal is decomposed into a series of intrinsic mode functions.The new method can not only weak the Gibbs′ phenomenon effectively,reflect the instantaneous character better,reduce the chance to split "beat" signal as far as possible,but also get the analytical signals of the intrinsic mode functions simultaneously,which will provide a great convenience in later calculation of Hilbert spectrum.In the paper,the new method is used in the wind wave signal decomposition and the five main meaningful intrinsic mode functions are obtained.
引文
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[13]张立振.分解信号为正交本征模态函数的方法[J].振动与冲击,2007,26(5):27—32.Zhang L Z.A method of decomposing signals into or-thogonal intrinsic mode functions[J].Journal of Vi-bration and Shock,2007,26(5):27—32.
[2]Roy A,Chun-Hsien Wen,Doherty J F,et al.Signalfeature extraction from microbarograph observationsusing the Hilbert-Huang transform[J].IEEE Trans.on Geoscience and Remote Sensing,2008,46(5):1 442—1 447.
[3]Caseiro P,Fonseca-Pinto R.Andrade screening of ob-structive sleep apnea using Hilbert-Huang decomposi-tion of oronasal air pressure recordings[J].MedicalEngineering&Physics,2010,24:1 025—1 031.
[4]Tomas Kalvoda,Yean-Ren Hwang.Analysis of signalsfor monitoring of nonlinear and non-stationary machi-ning processes[J].Sensors and Actuators,2010,A161:9—45.
[5]Zhongyuan Su,Yaoming Zhang,Minping Jia.Gearfault identification and classification of singular valuedecomposition based on Hilbert-Huang transform[J].Journal of Mechanical Science and Technology,2011,25(2):267—272.
[6]白大为,底青云,王光杰.Hilbert Huang Huang变换与E信号的处理[J].地球物理学进展,2009,24(3):1 032—1 038.Bai D W,Di Q Y,Wang G J.Hilbert Huang transfor-mation and ELF signal processing[J].Progress in Geo-physics,2009,24(3):1 032—1 038.
[7]杨光亮,朱元清,于海英.基于HHT的地震信号自动去噪算法[J].大地测量与地球动力学,2010,30(3):39—42.Yang G L,Zhu Y Q,Yu H.Y.Automatic de-noisingalgorithm of earthquake signal based on HHT decom-position[J].Journal of Geodesy and Geodynamics,2010,30(3):39—42.
[8]于彩霞,魏文博,景建恩.希尔伯特-黄变换在海底大地电磁测深数据处理中的应用[J].地球物理学进展,2010,25(3):1 046—1 056.Yu C X,Wei W B,Jing J E.Application of Hilbert-Huang transformation to marine magnetotelluricsounding data processing[J].Progress in Geophysics,2010,25(3):1 046—1 056.
[9]Rato R T,Ortigueira M D,Batista A G.On theHHT,its problems,and some solutions[J].Me-chanical Systems and Signal Processing,2008,22:1 374—1 394.
[10]耿婷婷,金荣洪,耿军平.HHT的改进及其在时频信号分析中的应用研究[J].中国电子科学研究院学报,2010,5(5):513—517.Geng T T,Jing R H,Geng J P,et al.An improvedHHT and its application in time-frequency signals a-nalysis[J].Journal of CA EIT,2010,5(5):513—517.
[11]钱昌松,刘代志,刘志刚,等.基于递归高通滤波的经验模态分解及其在地震信号分析中的应用[J].地球物理学报,2010,53(5):1212—1225.Qian C S,Liu D Z,Liu Z G,et al.EMD based on re-cursive high-pass filter and its application on seismicsignal analysis[J].Chinese Journal of Geophysics,2010,53(5):1 212—1 225.
[12]Wu F J,Qu L S.An improved method for restrainingthe end effect in empirical mode decomposition and itsapplications to the fault diagnosis of large rotating ma-chinery[J].Journal of Sound and Vibration,2008,314:586—602.
[13]张立振.分解信号为正交本征模态函数的方法[J].振动与冲击,2007,26(5):27—32.Zhang L Z.A method of decomposing signals into or-thogonal intrinsic mode functions[J].Journal of Vi-bration and Shock,2007,26(5):27—32.
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