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基于改进经验模态分解域内心动物理特征识别模式分量的心电信号重建
引用本文:牛晓东,卢莉蓉,王鉴,韩星程,郭树言,王黎明.基于改进经验模态分解域内心动物理特征识别模式分量的心电信号重建[J].物理学报,2021(3):305-313.
作者姓名:牛晓东  卢莉蓉  王鉴  韩星程  郭树言  王黎明
作者单位:中北大学;长治医学院物理教研室;长治医学院生物医学工程系
基金项目:国家自然科学基金(批准号:61842103,61871351,61801437);电子测试技术国防科技重点实验室基金(批准号:6142001180410);山西省高等学校科技创新基金(批准号:2020L0301,2020L0389)资助的课题。
摘    要:心电图(electrocardiogram,ECG)诊断心脏疾病的严格标准,要求有效地消除噪声并准确地重建ECG信号.经验模式分解(empirical mode decomposition,EMD)方法重建ECG信号中,模式混叠及重建采用模式分量的识别以经验为基础,导致重建ECG信号准确度降低,且方法不具有自适应和通用性.本文首先基于积分均值定理提出一种改进的EMD方法——积分均值模式分解(integral mean mode decomposition,IMMD)方法,经5000个高斯白噪声样本的蒙特卡罗法验证,IMMD方法比EMD具有更优多分辨率分析能力,能够有效地缓解模式混叠.其次,基于ECG信号内固有心动物理特征量识别重建ECG信号所采用的模式分量,具有现实物理意义,因此,方法具有自适应和通用性.经验证,提出方法重建47例ECG信号与原ECG信号的相关系数中:31例优于变分模式分解方法;33例优于Haar小波软阈值法;42例优于集总经验模式分解方法;45例优于EMD方法.相关系数均值为0.8904,方差为0.0071,表现稳定且最优.

关 键 词:心电信号  重建  心率  积分均值模式分解

Electrocardiogram signal reconstruction based on mode component identification by heartbeat physical feature in improved empirical mode decomposition domain
Niu Xiao-Dong,Lu Li-Rong,Wang Jian,Han Xing-Cheng,Guo Shu-Yan,Wang Li-Ming.Electrocardiogram signal reconstruction based on mode component identification by heartbeat physical feature in improved empirical mode decomposition domain[J].Acta Physica Sinica,2021(3):305-313.
Authors:Niu Xiao-Dong  Lu Li-Rong  Wang Jian  Han Xing-Cheng  Guo Shu-Yan  Wang Li-Ming
Affiliation:(Shanxi Key Laboratory of Signal Capturing and Processing,North University of China,Taiyuan 030051,China;Department of Physics,Changzhi Medical College,Changzhi 046000,China;Department of Biomedical Engineering,Changzhi Medical College,Changzhi 046000,China)
Abstract:Electrocardiogram(ECG) diagnosis is based on the waveform,duration and amplitude of characteristic wave,which are required to have a high accuracy for ECG signal reconstruction.As an effective nonlinear signal processing method,empirical mode decomposition(EMD) has been widely used for diagnosing and reconstructing the ECG signal,but there are two problems arising here.One is the mode mixing,and the other is that the mode components used in reconstruction are identified by experience.Therefore,the method of reconstruction is not adaptive and universal,and reconstructed ECG signal loses accuracy.Firstly,we propose an improved EMD method,which is called integral mean mode decomposition(IMMD).The analysis of 5000 samples of Gaussian white noise shows that IMMD has better multi-resolution analysis ability than EMD,and it can effectively alleviate mode mixing consequently.Secondly,based on the inherent physical characteristics of ECG signal,cardiac cycle or heart rate(HR),it has practical physical significance to identify the mode components used in ECG signal reconstruction.The cardiac cycle feature acts as the intrinsic mode function(IMF) component through two modes.1) For the low-order IMF that belongs to the ECG signal,the cardiac cycle feature acts as the amplitude modulation.The envelope of the IMF component has the characteristics of the cardiac cycle,and the frequency corresponding to the maximum amplitude in the spectrum of the envelope is equal to HR.2) For the high-order IMF that belongs to the ECG signal,the cardiac cycle feature acts as frequency modulation.Those IMF components have the harmonic characteristics of periodic heartbeats,and the maximum amplitude in the spectrum corresponds to an integral multiple of HR(usually 1-3 times).The noise attributed to IMF component cannot show the above two cardiac cycle characteristics.Thus the proposed method is adaptive and universal.The 47 ECG signals with baseline drift and muscle artifact noise are tested.The results show that the proposed method is more effective than the variational mode decomposition(VMD),Haar wavelet with soft threshold,ensemble empirical mode decomposition(EEMD) and EMD.Among the 47 correlation coefficients between reconstructed and original ECG signals,the proposed method has 31 better than VMD,33 better than Haar wavelet,42 better than EEMD and 45 better than EMD.The mean of 47 correlation coefficients from the proposed method is 0.8904,and the variance is 0.0071,which shows that the proposed method has good performance and stability.
Keywords:electrocardiogram  reconstruction  heart rate  integral mean mode decomposition
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