[1]周百新,梁忠诚,赵阳,等.EMD及其在脑电分析中的应用研究[J].南京师范大学学报(工程技术版),2007,07(01):008-13.
 Zhou Baixin,Liang Zhongcheng,Zhao Yang,et al.EMD and Research Employed to Electroencephalogram Analysis[J].Journal of Nanjing Normal University(Engineering and Technology),2007,07(01):008-13.
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EMD及其在脑电分析中的应用研究
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南京师范大学学报(工程技术版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
07卷
期数:
2007年01期
页码:
008-13
栏目:
出版日期:
2007-03-30

文章信息/Info

Title:
EMD and Research Employed to Electroencephalogram Analysis
作者:
周百新;梁忠诚;赵阳;王蔚;赵新红;
南京师范大学电气与自动化工程学院, 江苏南京210042
Author(s):
Zhou BaixinLiang ZhongchengZhao YangWang WeiZhao Xinhong
School of Electrical and Automation Engineering,Nanjing Normal University,Nanjing 210042,China
关键词:
经验模态分析(EMD) 脑电信号 非平稳信号 本征模函数(IMF) 希尔伯特谱
Keywords:
emp irical mode decom po sition ( EMD) e lectroencepha log ram ( EEG) non-stationary data s igna l intr insicm ode function ( IMF) H ilbert spec trum
分类号:
TP274
摘要:
基于经验模态分解(EMD)的数据分析方法,是一种针对非线性、非平稳信号处理的新方法.使用EMD法可以将任意复杂的数据信号分解为多个有限的、数据量较小的“本征模函数”(IMF).这些本征模函数很适合求其Hilbert变换.信号的局部能量和瞬时频率都可以从其本征模函数中推导出来.这个完整的能量-频率-时间关系称为Hilbert谱,它是一种分析非线性、非平稳信号的理想方法.介绍了EMD法的原理和实现过程,给出了多个实例的本征模函数和Hilbert谱.并展示了它在非稳态信号处理中的特性.同时,还探索将这种基于EMD的分析方法应用于脑电信号的分析中,并给出了脑电信号的部分本征模函数(IMF)分量及Hilbert振幅和频谱图.试图用一种新的方法分析复杂的非平稳脑电信号.
Abstract:
Based on the Em p ir ica lM odeDecom position ( EMD), a new data ana lys is m ethod fo r processing non linear and non-stationary signal has been deve loped. The key part o fm ethod is the EMD m ethod w ith wh ich any com plicated data s igna l can be decomposed into a fin ite and o ften sm a ll number o f Intr insicM ode Functions ( IMF) that adm itw e ll - behaved H ilbert transform s. The loca l energy and instantaneous frequency of the signal can be de riv ed from the IMFs. Th is fu ll energy-frequency-tim e relation of the data signa l is called theH ilbe rt spectrum. It is an ideal for nonlinear and non-stationary da ta ana lys is. The pr inciple and sifting process of the EMD m ethod are introduced, and ana lysis results abou t some ac tua l examp les w ith EMD m e thod are also show n. The possib ility that the EMD m ethod is applied in ana lysis of an E lectroencephalog ram ( EEG) is discussed and a few Intr insicM ode Function ( IM F) com ponen ts and H ilbert spectrum of the EEG are g iv en. The EMD m ethod presented is attem pted to ana lysis the com plex non- sta tiona ry EEG da ta signal.

参考文献/References:

[ 1] 季忠, 秦树人. 时频测试方法在脑电信号分析中的应用[ J]. 重庆大学学报: 自然科学版, 2003, 26 ( 11): 1-4.
Ji Zong, Q in Shuren. The App lication o f time- frequency testing m ethods in EEG signa ls analysis[ J] . Journa l of Chongqing Un iversity: Na tura l Sc ience Edition, 2003, 26 ( 11): 1-4. ( in Ch inese)
[ 2] 刘大路, 江朝辉, 冯焕清, 等. 小波和主分量分析方法研究思维脑电[ J]. 生物物理学报, 2003, 19( 4): 415-418.
Liu Da lu, Jiang Zhaohu,i FengH uanqing, e t a.l M enta lEEG analysis using w avelet transfo rm and princ ipal com ponent analysis[ J]. ACTA B iophysica S in ica, 2003, 19( 4): 415-418. ( in Chinese)
[ 3] H uang N E, Shen Z, Long S R. The em pir ica lm ode decomposition and theH ilbert spectrum fo r non linear and non- sta tionary tim e ser ies ana lys is[ J]. Proc R So c Lond A, 1998, 454 ( 1) : 903-995.
[ 4] 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): 1-10.
H uang Daj,i Zhao Jinp ing, Su Jilan. Practica l im plem entation o f theH ilbert-Huang transfo rm a lgo rithm [ J]. ACTA Oceano logica S inca, 2003, 25( 1): 1-10. ( in Chinese)
[ 5] 王蔚, 陈杰, 张胜, 等. 16导脑电信号分形强度的左右分布[ J]. 上海交通大学学报, 2003, 37( 9): 1 477-1 479.
W angW e,i Chen Jie, Zhang Sheng, et a.l D istribution o fm ultifracta l streng th of 16 channe lE lectroencephalogram ( EEG) signa ls[ J]. Journa l of Shanghai Jiaotong Un iversity, 2003, 37( 9): 1 477-1 479. ( in Ch inese)
[ 6] 陈忠, 郑时雄. EMD信号分析方法边缘效应的分析[ J]. 数据采集与处理, 2003, 18( 1): 114-118.
Chen Zhong, Zheng Sh ix iong. Analysis on end e ffects EMD m ethod[ J]. Journa l o f DATA Acqnisition and Processing, 2003, 18( 1): 114-118. ( in Chinese)
[ 7] 邓拥军, 王伟, 钱成春, 等. EMD方法及H ilbert变换中边界问题的处理[ J]. 科学通报, 2001, 46( 3) : 250-258.
Deng Yong jun, WangW e,i Q ian Cheng chun, et a.l TheEMD m ethod and the boundary prob lem o fH ilbert transform [ J]. Ch-i nese Science Bu lletin, 2001, 46( 3): 250-258. ( in Chinese)
[ 8] 许宝杰, 张建民, 徐小力, 等. 抑制EMD端点效应方法的研究[ J]. 北京理工大学学报, 2006, 26( 3) : 196-200.
Xu B ao jie, Zhang Jianm in, Xu X iao l,i et a.l A Study on them ethod of restrain ing the end ing effect o f em pirica lmode decomposition[ J]. T ransactions o f Be ijing Institu te of Techno logy, 2006, 26( 3) : 196-200. ( in Ch inese)
[ 9] 李永勤, 王清, 邓亲凯. EMD 及其在生物医学信号处理中的应用[ J]. 生物医学工程学杂志, 2005, 22 ( 5): 1 058- 1 062.
Li Yongqin, W ang Q ing, Deng Q inka.i Research on EMD and its application in b iom ed ica l signa l processing[ J]. Journal o f B iom ed ica l Eng ineer ing, 2005, 22( 5): 1 058-1 062. ( in Ch inese)
[ 10] 黎洪生, 吴小娟, 葛源. EMD信号分析端点问题的处理[ J]. 电力自动化设备, 2005, 25( 9): 47-49.
L iH ongsheng, W u Xiao juan, Ge Yuan. Dealingw ith end issue o f EMD m ethod[ J]. E lectr ic Pow erAutom ation Equ ipm ent, 2005, 25 ( 9): 47-49. ( in Ch inese)
[ 11] 刘慧婷, 张, 程家兴. 基于多项式拟和算法的EMD端点问题的处理[ J]. 计算机工程与应用, 2004, 40( 16): 83-85.
L iu H u iting, ZhangM ing, Cheng Jiax ing. Dea ling w ith the end issue o fEMD based on po lynom ia l fitting a lgo rithm [ J]. Computer Eng ineer ing and Applications, 2004, 40( 16): 83-85. ( in Chinese)

备注/Memo

备注/Memo:
基金项目: 南京师范大学“ 211”学科建设基金( 1843202529 )资助项目.
作者简介: 周百新( 1957-) , 女, 副教授, 主要从事电子技术应用和信号处理等方面的教学与研究. E-m ail:zhoubaixin@ njnu. edu. cn
更新日期/Last Update: 2013-04-29