[1]汤龙坤.有噪声的多维混沌时序的非线性检验[J].华侨大学学报(自然科学版),2006,27(4):354-357.[doi:10.3969/j.issn.1000-5013.2006.04.005]
　Tang Longkun.Testing Nonlinearity in Multidimensional Noisy Chaotic Time Series[J].Journal of Huaqiao University(Natural Science),2006,27(4):354-357.[doi:10.3969/j.issn.1000-5013.2006.04.005]
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有噪声的多维混沌时序的非线性检验()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第27卷
期数:
2006年第4期
页码:
354-357
栏目:
出版日期:
2006-10-20

文章信息/Info

Title:
Testing Nonlinearity in Multidimensional Noisy Chaotic Time Series
文章编号:
1000-5013(2006)04-0354-04
作者:
汤龙坤
华侨大学数学系 福建泉州362021
Author(s):
Tang Longkun
Department of Mathematics, Huaqiao University, 362021, Quanzhou, China
关键词:
多维信号;  广义冗余;  非线性;  噪声
Keywords:
multidimensional signals;  generalized redundancy;  nonlinearity;  noise
分类号:
O231.2
DOI:
10.3969/j.issn.1000-5013.2006.04.005
文献标志码:
A
摘要:
采用多变量时间序列替代数据生成原理,生成实测多变量时间序列的多组替代时间序列.综合线性冗余和广义冗余两种检验统计量,对一种定量检验多维信号非线性方法的抗噪声能力进行分析.从Lorenz和Chen′s系统获得多维时间序列,分别对加不同噪声水平的时间序列检验方法的有效性,并比较不同噪声水平对方法的影响.仿真实验结果表明,方法具有很强的抗噪声能力.
Abstract:
Applying the principle of generating surrogate data to generate surrogate time series of measured multivariate time series and using linear and generalized redundancy as test statistics,we discuss the scheme of resisting noise in a proposed quantitative method to detect nonlinearity in multidimensional signals.We obtain differently multidimensional time series from Lorenz and Chen′s systems,and test the above method by the time series with different noise level.Computer simulation shows it has a good capability of resisting noise.

参考文献/References:

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备注/Memo

备注/Memo:
华侨大学科研基金资助项目(04HZR07)
更新日期/Last Update: 2014-03-23