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论文:2018,Vol:36,Issue(2):287-293 |
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引用本文： |
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刘雁, 丁冬晓. 基于分形的心电信号非线性特征研究[J]. 西北工业大学学报 |
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Liu Yan, Ding Dongxiao. Nonlinear Characteristics of Electrocardiograph Signals Based on Fractal[J]. Northwestern polytechnical university |
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| 基于分形的心电信号非线性特征研究 |
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| 刘雁, 丁冬晓 |
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| 西北工业大学 机电学院, 陕西 西安 710072 |
| 摘要: |
| 采用分形理论分析心电信号的非线性特征。以几种常见窦性心率的心电信号为分析对象，通过分析其单重分形和多重分形谱特征，绘制自相关函数图和多重分形谱图，研究不同窦性心律的非线性特征，得出结论性结果。研究结果表明：这4种心电信号均具有自相关特性，其中正常窦性心律的自相关函数衰减迅速并且Hurst参数较小，表现出明显的随机特征。多重分形谱的进一步研究表明，各类心电信号同时存在局部奇异特性，同类型窦性心律心电信号的多重分形谱出现特征的不一致性和分类现象，其中正常窦性心律的分类较为明显。这一研究结果，可作为一个有效的补充方法，用于心脏疾病的无创诊断及预警。 |
| 关键词:
心电信号
分形维数
自相关函数
多重分形谱
时间序列
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| Nonlinear Characteristics of Electrocardiograph Signals Based on Fractal |
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| Liu Yan, Ding Dongxiao |
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| School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| In view of the nonlinear properties of Electrocardiograph (ECG) signal,the application of fractal methods from nonlinear system theory for the analysis of ECG signals has gained increasing interest.In this study,analysis of the objects are ECG signals of four sinus rhythms. Some important phenomena and conclusions have been captured and drawn after analyzing with and plotting the graphics of multi-fractal spectrum and auto-correlation functions. Additionally, the Hurst(H) parameters illustrate that self-similarity is a common property of the ECG signals, but the smaller H of the normal sinus rhythm(NSR) cause the obvious randomness of NSR. The further research of multi-fractal spectrum shows that the ECG signals all present local singular characteristics, but there are inconsistencies in the same type of sinus rhythm ECG signal. While, the inconsistency led to obvious classification, especially in NSR. As the conclusion, the results can be used as an effective complementary method for non-invasive diagnosis and early warning of heart disease. |
| Key words:
ECG signal
fractal dimension
auto-correlation function
multi-fractal spectrum, time series
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| 收稿日期: 2017-03-12
修回日期:
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| DOI: |
| 基金项目: 国家自然科学基金（51775437）与国家自然科学基金青年项目（51305355）资助 |
| 通讯作者:
Email： |
| 作者简介: 刘雁(1974-),女,西北工业大学副教授,主要从事动力学系统稳定性、生物医学信息处理算法研究。
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| 作者相关文章 |
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| 刘雁 在本刊中的所有文章 |
| 丁冬晓 在本刊中的所有文章 |
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参考文献: |
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[1] 张淑杰,张维维,奚云琪,等. 基于傅里叶变换的心电信号频谱分析[J]. 信息系统工程,2012(1):133-134 Zhang Shujie, Zhang Weiwei, Xi Yunqi, et al. Spectrum Analysis of ECG Based on Fourier Transform[J]. China CIO News, 2012(1):133-134(in Chinese)
[2] Babloyantz A, Destexhe A. Is the Normal Heart a Periodic Oscillator[J]. Biological Cybernetics, 1988,58(3):203-211
[3] Goldberger A L. Fractal Mechanisms in the Electrophysiology of the Heart[J]. IEEE Engineering in Medicine and Biology Magazine, 1992, 11(2):47-52
[4] 刘雁,幕德俊,焦永锋,等. R-R Lorenz图实现心电信号混沌特征识别的研究[J]. 北京生物医学工程, 2008,27(1):37-40 Liu Yan, Mu Dejun, Jiao Yongfeng, et al. Study on the Tell of Chaos and Its Characteristics for R-R Lorenz Scattering Plot from ECG Signals[J]. Beijing Biomedical Engineering, 2008,27(1):37-40(in Chinese)
[5] 宋晋忠,严洪,许志,等. 基于心电图的心肌缺血非线性分析[J]. 北京生物医学工程,2011, 30(4):146-148 Song Jinzhong, Yan Hong, Xu Zhi, et al. Nonlinear Analysis of Myocardial Ischemia Based on Electrocardiograms[J]. Beijing Biomedical Engineering, 2011, 30(4):146-148(in Chinese)
[6] 陈希孺. 概率论与数理统计[M]. 合肥:中国科学技术大学出版社,2009 Chen Xiru. Probability Theory and Mathematical Statistics[M]. Hefei, Press of University of Science and Technology of China, 2009(in Chinese)
[7] 刘雁,陈党民,柳黎光,等. 离心式压缩机出口动态压力的单重分形特征研究[J]. 西北工业大学学报,2013, 31(1):60-65 Liu Yan, Chen Dangmin, Liu Liguang, et al. Exploring Monofratal Characteristics of Dynamic Pressure at Exit of Centrifugal Compressor[J]. Journal of Northwestern Polytechnical University, 2013,31(1):60-65(in Chinese)
[8] 吕太之. 基于滑动窗口Hurst指数的心电分析研究[J]. 计算机科学,2016,2:259-262 Lü Taizhi. Research of Heart Rate Variable Analysis Based on Sliding Window Hurst[J]. Computer Science, 2016,2:259-262(in Chinese)
[9] 张广林,黄洁仪,陈胡松,等. 基于多重分形的我国股票波动特征研究[J]. 时代金融,2016,30:151-152 Zhang Guanglin, Huang Jieyi, Chen Husong, et al. Research on Fluctuations of China Stock Characteristics Based on Multi-Fractal[J]. Time Finance, 2016,30:151-152(in Chinese)
[10] 库勒, 葛利君, 刘凯, 等. 临床心电图手册[M]. 北京:人民军医出版社,2014 Tapas Kumaploley, Ge Lijun, Liu Kai, et al. Handbook of Clinical Electrocardiography[M]. Beijing, Military Science Publishing House,2014(in Chinese)
[11] 吴颖君,耿攀,朱军. 基于MATLAB的ⅡR数字滤波器设计与实例[J]. 科技展望,2015, 25(2):92-93 Wu Yingjun, Geng Pan, Zhu Jun. ⅡR Digital Filter Designing and Instance Based on MATLAB[J]. Science and Technology, 2015, 25(2):92-93(in Chinese) |
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