Epileptic seizure classification in EEG signals using second-order difference plot of intrinsic mode functions

Epilepsy is a neurological disorder which is characterized by transient and unexpected electrical disturbance of the brain. The electroencephalogram (EEG) is a commonly used signal for detection of epileptic seizures. This paper presents a new method for classification of ictal and seizure-free EEG signals. The proposed method is based on the empirical mode decomposition (EMD) and the second-order difference plot (SODP). The EMD method decomposes an EEG signal into a set of symmetric and band-limited signals termed as intrinsic mode functions (IMFs). The SODP of IMFs provides elliptical structure. The 95% confidence ellipse area measured from the SODP of IMFs has been used as a feature in order to discriminate seizure-free EEG signals from the epileptic seizure EEG signals. The feature space obtained from the ellipse area parameters of two IMFs has been used for classification of ictal and seizure-free EEG signals using the artificial neural network (ANN) classifier. It has been shown that the feature space formed using ellipse area parameters of first and second IMFs has given good classification performance. Experimental results on EEG database available by the University of Bonn, Germany, are included to illustrate the effectiveness of the proposed method.     

Emotion recognition from EEG signals by using multivariate empirical mode decomposition

This paper explores the advanced properties of empirical mode decomposition (EMD) and its multivariate extension (MEMD) for emotion recognition. Since emotion recognition using EEG is a challenging study due to nonstationary behavior of the signals caused by complicated neuronal activity in the brain, sophisticated signal processing methods are required to extract the hidden patterns in the EEG. In addition, multichannel analysis is another issue to be considered when dealing with EEG signals. EMD is a recently proposed iterative method to analyze nonlinear and nonstationary time series. It decomposes a signal into a set of oscillations called intrinsic mode functions (IMFs) without requiring a set of basis functions. In this study, a MEMD-based feature extraction method is proposed to process multichannel EEG signals for emotion recognition. The multichannel IMFs extracted by MEMD are analyzed using various time and frequency domain techniques such as power ratio, power spectral density, entropy, Hjorth parameters and correlation as features of valance and arousal scales of the participants. The proposed method is applied to the DEAP emotional EEG data set, and the results are compared with similar previous studies for benchmarking.     

基于NA-MEMD和互信息的脑电特征提取方法

多变量经验模式分解（MEMD）方法不需要根据先验知识选取基函数,能同时对多通道数据进行自适应分解,适合于分析具有高度相关性和非平稳性的脑电信号。为了判别包含有用信息的内蕴模式函数（IMFs）,提出一种基于噪声辅助多变量经验模式分解（NA-MEMD）和互信息的方法,并用于脑电特征提取。首先使用NA-MEMD算法对多通道信号进行分解得到多尺度IMF分量,然后采用互信息法分别计算各尺度上信号与其IMF分量、噪声与其IMF分量、信号IMF分量与噪声IMF分量之间的相关性,接着根据敏感因子筛选包含有用信息的IMF分量,将其叠加得到对应的重构信号,最后采用共同空间模式（CSP）法对重构信号进行特征提取,再用支持向量机（SVM）实现分类。使用仿真数据和实际数据集BCI Competition IV Data Set 1进行测试,与现有的其他方法比较,验证了所提方法的有效性。     

基于小波去噪和EMD的船舶液位信号特性分析

为提高船舶液舱液位测量精度,研究了液位测量信号的特性,提出基于小波去噪和经验模态分解(EMD)的水位信号处理新方法。用平移不变小波去噪算法对液位信号进行预处理,消除异常事件对EMD方法的影响,用EMD分解信号,按照给定的置信度去除高频固有模态(IMF)分量,提取低频IMF及趋势项进行重构,得到的无干扰成分即为液位真实信号。理论及实验研究表明,只有在有效消除异常干扰的情况下才能获得可靠的IMF分量,采用该方法提取有异常干扰的液水位信号真实趋势是有效可行的。     

基于谱插值与经验模态分解的表面肌电信号降噪处理*

根据表面肌电(surface electromyography, sEMG)信号的噪声特性来探讨其降噪方法的应用问题。采用谱插值法来削弱工频干扰以避免工频处的肌电信息成分丢失,再选取通过经验模态分解(empirical mode decomposition, EMD)方法获得的内在模态函数(intrinsic mode function, IMF)分量作小波软阈值分析,并将部分明显的低频IMF干扰分量及冗余分量去除,然后对相应IMF分量进行重构便可得到降噪处理后的sEMG信号。仿真和真实信号的降噪实验结果     

A novel method for analyzing dominant oscillation mode based on improved EMD and signal energy algorithm

In this paper,a novel method that integrates the improved empirical mode decomposition(EMD)and signal energy algorithm is proposed to estimate the dominant oscillation parameters and corresponding mode shape.Firstly,the EMD with symmetrical extrema extension(SEE)is utilized to decompose the measured data from wide area measurement system(WAMS)into a finite set of intrinsic mode functions(IMFs).Then,the signal energy algorithm is used to calculate the approximate oscillation parameters of the IMFs.The nodes ...     

基于改进小波阈值-CEEMDAN算法的ECG信号去噪研究

Electrocardiogram (ECG) signal denoising has always been a hot research issue. In order to eliminate the noises in ECG signal, a denoising method based on adaptive complete set empirical mode decomposition (CEEMDAN) and wavelet improved threshold function is proposed. Firstly, this method firstly decomposes the ECG signal by CEEMDAN to obtain a set of intrinsic modal functions (IMFs) from high frequency to low frequency. CEEMDAN decomposition is performed on ECG signal to yield several modal components (IMF). Secondly, the correlation coefficient method is used to perform wavelet denoising with improved threshold on the high frequency IMFs. For the low frequency IMFs, by setting a fixed threshold, the IMFs below the threshold is considered to be the baseline drift signal and removed. Finally, the denoised IMFs and the retained IMFs are reconstructed. The experimental results show that the proposed method is more effective than the empirical mode decomposition (EMD) wavelet denoising, and the global average empirical mode decomposition (EEMD) wavelet denoising method.     

基于脑电EEG的改进EEMD算法

为了有效地改善模态混叠问题以适应脑电信号的研究,提出了一种改进的集合经验模态分解算法。首先对脑信号进行相关性筛选;然后自适应地从原始脑信号中预测脑电特性信号,融合高斯白噪声生成新型脑信号噪声;最后基于该噪声进行集合经验模态分解。仿真实验表明,新型脑信号噪声不仅具有自适应特性,而且可以更好地解决脑信号经验模态分解中的模态混叠问题,同时也证明了该算法在脑电研究领域的理论和应用价值。     

基于经验模态分解和SVM的脑电信号分类方法

脑电信号的非线性、非平稳性造成对运动想象脑电信号的分类识别存在特征提取困难、可区分性低以及分类识别性能差等问题。本文提出一种基于经验模态分解(Empirical Mode Decomposition, EMD)和支撑向量机(Support Vector Machine, SVM)的运动想象脑电信号分类方法,充分利用EMD算法在处理非线性、非平稳信号的自适应性以及SVM在小样本条件的高识别性能和强泛化能力。首先利用EMD算法将C3、C4导联信号分解为一系列本征模函数(Intrinsic Mode Function, IMF),然后从IMF的信息和能量等维度提取特征将脑电信号转换至区分性更强的特征域,最后利用SVM进行分类识别。采用国际BCI竞赛2003中的Graz数据进行验证,所提方法可以得到94.6%的正确识别率,为在线脑-机接口系统的研究提供了新的思路。     

A better decomposition of speech obtained using modified Empirical Mode Decomposition

The objective of this work is to obtain meaningful time domain components, or Intrinsic Mode Functions (IMFs), of the speech signal, using Empirical Mode Decomposition (EMD), with reduced mode mixing, and in a time-efficient manner. This work focuses on two aspects – firstly, extracting IMFs of the speech signal which can better reflect its higher frequency spectrum; and secondly, to get a better representation and distribution of the vocal tract resonances of the speech signal in its IMFs, compared to that obtained from standard EMD. To this effect, modifications are proposed to the EMD algorithm for processing speech signals, based on the critical nature of the interpolation points (IPs) used for cubic spline interpolation in EMD. The effect of using different sets of IPs, other than the extrema of the residue – as used in standard EMD – is analyzed. It is found that having more IPs is beneficial only upto a certain limit, after which the characteristic dyadic filterbank nature of EMD breaks down. For certain sets of IPs, these modified EMD processes perform better than EMD, giving better frequency separability between the IMFs, and an enhanced representation of the higher frequency content of the signal. A detailed study of the distribution of the formants, in the IMFs of the speech signal, is done using Linear Prediction (LP) analysis of the IMFs. It is found that the IMFs of the EMD variants have a far better distribution of the formants structure within them, with reduced overlapping amongst their filter spectrums, compared to that of standard EMD. Henceforth, when subjected to the task of formants estimation of voiced speech, using LP analysis, the IMFs of the modified EMD processes cumulatively exhibit a superior performance than that of standard EMD, or the speech signal itself, under both clean and noisy conditions.     

思维作业脑电的IMF能量熵特征提取与分类研究

提出了一种基于固有模态函数（Intrinsic Mode Function,IMF）能量熵的特征提取方法。对三类脑电思维信号分别进行了经验模态分解（Empirical Mode Decomposition,EMD）,并得到与其相对应的IMF。试验发现对于不同类别的信号,同阶的IMF能量的判别熵有明显的不同。而采用K-近邻分类器对三类脑电信号进行了分类,发现基于最佳特征向量选择的分类试验的平均正确识别率达75%以上。     

Detrended fluctuation thresholding for empirical mode decomposition based denoising

Signal decompositions such as wavelet and Gabor transforms have successfully been applied in denoising problems. Empirical mode decomposition (EMD) is a recently proposed method to analyze non-linear and non-stationary time series and may be used for noise elimination. Similar to other decomposition based denoising approaches, EMD based denoising requires a reliable threshold to determine which oscillations called intrinsic mode functions (IMFs) are noise components or noise free signal components. Here, we propose a metric based on detrended fluctuation analysis (DFA) to define a robust threshold. The scaling exponent of DFA is an indicator of statistical self-affinity. In our study, it is used to determine a threshold region to eliminate the noisy IMFs. The proposed DFA threshold and denoising by DFA–EMD are tested on different synthetic and real signals at various signal to noise ratios (SNR). The results are promising especially at 0 dB when signal is corrupted by white Gaussian noise (WGN). The proposed method outperforms soft and hard wavelet threshold method.     

基于夹角余弦和模糊阈值的EEMD去噪方法

针对非线性非平稳信号的去噪问题,结合EEMD分解信号的自适应特性,提出一种基于夹角余弦和模糊阈值的去噪方法。首先用夹角余弦法计算各个本征模态函数（IMF）与观测信号之间的相似度,以相似度曲线的首个极小值的后一个位置为分界点将分解出的IMF分为噪声主导模态和信号主导模态;然后根据VisuShrink阈值易“过扼杀”细节系数和SUREShrink阈值易“过保留”噪声系数的特点,利用模糊阈值对噪声主导的IMF进行处理;最后将所有的IMF重构得到消噪信号。分别采用仿真信号和真实ECG信号进行去噪实验。结果表明,所提方法在整体性能上优于小波半软阈值方法、基于EMD的软阈值（EMD-Soft）和间隔阈值（EMD-IT）方法,是一种有效的去噪方法。     

基于多变量符号转移熵的癫痫脑电分析

大脑神经元细胞群的异常同步放电是癫痫的病因,这种异常放电是目前诊断癫痫的重要依据。利用复杂度理 论来分析癫痫信号已经成为研究热点,而符号转移熵是反应系统混乱程度的一种非线性指标,在研究癫痫脑电信号特征的提取中有重要的作用。符号转移熵一般都是用来衡量两 个变量之间的动力学特征及方向性信息,忽略了多个变量之间相互作用。本文基于多变量符号转移熵研究分析了癫痫脑电信号,实验中将原始信号符号化后通过数值分析,对导联信号及信号长度的选取以及稳健性分析,表明该方法能够对正常人与癫痫病人的脑电信号进行显著区分,且该算法稳健可靠,该研究结果对临床辅助诊断有帮助。     

Partial ensemble approach to resolve the mode mixing of extreme-point weighted mode decomposition

Empirical mode decomposition (EMD) is an effective tool for breaking down components (modes) of a nonlinear and non-stationary signal. Recently, a newly adaptive signal decomposition method, namely extreme-point weighted mode decomposition (EWMD), was put forward to improve the performance of EMD, in particular, to resolve the over- or undershooting issue associated with the large amplitude variations. However, similar to EMD, EWMD also suffers the mode mixing problem caused by intermittence or noisy signals. In this paper, inspired by complementary ensemble EMD (CEEMD), a noise-assisted data analysis method called partial ensemble extreme-point weighted mode decomposition (PEEWMD) is proposed to eliminate the mode mixing problem and enhance the performance of EWMD. In the proposed PEEWMD method, firstly white noises in pairs are added to the targeted signal and then the noisy signals are decomposed using the EWMD method to obtain the intrinsic mode functions (IMFs) in the first several stages. Secondly, permutation entropy is employed to detect the components that cause mode mixing. The residual signal is obtained after the identified components are separated from the original signal. Lastly, the residual signal is fully decomposed by using the EWMD method. The proposed PEEWMD method is compared with original EWMD, ensemble EWMD (EEWMD) and CEEMD using simulated signals. The results demonstrate that PEEWMD can effectively restrain the mode mixing issue and generates IMFs with much better performance. Based on that the PEEWMD and envelope power spectrum based fault diagnosis method was proposed and applied to the rubbing fault identification of rotor system and the fault diagnosis of rolling bearing with inner race. The result indicates that the proposed method of fault diagnosis gets much better effect than EMD and EWMD.     

基于EMD和LVQ的信号特征提取及分类方法

针对非平稳、非线性、微弱信号难以分析和处理的特点,本文提出了一种基于经验模式分解和学习向量量化神经网络的信号处理和分类方法,并在生物信号处理领域(左、右手运动想象的脑电信号)进行了研究和应用.首先通过经验模式分解算法对脑电信号分解,然后选取主要固有模态函数分量并计算其绝对均值作为特征值,最后使用学习向量量化网络进行分类,并分别与支持向量机和误差反向传播神经网络分类算法进行了对比研究.实验结果表明,所提出的算法分类正确率达到了87％,相比于其余两种对比算法在特定的信号处理领域优越,具有一定的参考和研究价值.     

Empirical Mode Decomposition for Signal Preprocessing and Classification of Intrinsic Mode Functions

Empirical mode decomposition (EMD) is an adaptive, data-driven technique for processing and analyzing various types of non-stationary signals. EMD is a powerful and effective tool for signal preprocessing (denoising, detrending, regularity estimation) and time-frequency analysis. This paper discusses pattern discovery in signals via EMD. New approaches to this problem are introduced, which involve well-known information criteria along with some other proposed ones, which have been investigated and developed for our particular tasks. In addition, the methods expounded in the paper may be considered as a way of denoising and coping with the redundancy problem of EMD. A general classification of intrinsic mode functions (IMFs, empirical modes) in accordance with their physical interpretation is offered and an attempt is made to perform classification on the basis of the regression theory, special classification statistics and some cluster- analysis algorithm. The main advantage of the innovations is their capability of working automatically. Simulation studies have been undertaken on multiharmonic signals. We also cover some aspects of hardware implementation of EMD.     

Nonlinear and adaptive undecimated hierarchical multiresolution analysis for real valued discrete time signals via empirical mode decomposition approach

Hierarchical multiresolution analysis is an important tool for the analysis of signals. Since this multiresolution representation provides a pyramid like framework for representing signals, it can extract signal information effectively via levels by levels. On the other hand, a signal can be nonlinearly and adaptively represented as a sum of intrinsic mode functions (IMFs) via the empirical mode decomposition (EMD) algorithm. Nevertheless, as the IMFs are obtained only when the EMD algorithm converges, no further iterative sifting process will be performed directly when the EMD algorithm is applied to an IMF. As a result, the same IMF will be resulted and further level decompositions of the IMFs cannot be obtained directly by the EMD algorithm. In other words, the hierarchical multiresolution analysis cannot be performed via the EMD algorithm directly. This paper is to address this issue by performing a nonlinear and adaptive hierarchical multiresolution analysis based on the EMD algorithm via a frequency domain approach. In the beginning, an IMF is expressed in the frequency domain by applying discrete Fourier transform (DFT) to it. Next, zeros are inserted to the DFT sequence and a conjugate symmetric zero padded DFT sequence is obtained. Then, inverse discrete Fourier transform (IDFT) is applied to the zero padded DFT sequence and a new signal expressed in the time domain is obtained. Actually, the next level IMFs can be obtained by applying the EMD algorithm to this signal. However, the lengths of these next level IMFs are increased. To reduce these lengths, first DFT is applied to each next level IMF. Second, the DFT coefficients of each next level IMF at the positions where the zeros are inserted before are removed. Finally, by applying IDFT to the shorten DFT sequence of each next level IMF, the final set of next level IMFs are obtained. It is shown in this paper that the original IMF can be perfectly reconstructed. Moreover, computer numerical simulation results show that our proposed method can reach a component with less number of levels of decomposition compared to that of the conventional linear and nonadaptive wavelets and filter bank approaches. Also, as no filter is involved in our proposed method, there is no spectral leakage in various levels of decomposition introduced by our proposed method. Whereas there could be some significant leakage components in the various levels of decomposition introduced by the wavelets and filter bank approaches.     

基于EMD阈值算法的脉冲涡流信号消噪

针对脉冲涡流信号夹杂着较多的高频噪声,提出了一种新的经验模态分解阈值消噪算法。首先将信号分解为多个本征模态函数（Intrinsic Mode Function,IMF）,对信噪比低的高频IMF进行减小噪声能量处理后得到重组信号;再对重组信号进行EMD分解后根据白噪声统计特性对IMF筛选,对噪声含量多的IMF进行小波阈值消噪;最后将处理过的IMF与噪声含量少的IMF重构得到消噪后的信号。实验仿真的结果和数据表明,该方法可以减少失真,获得更高的信噪比,能够较好地消除噪声的干扰恢复出原始的信号。     

基于LABVIEW的脑电信号虚拟采集系统设计

在神经科学研究领域,对大脑的观察主要来源于对脑电信号的收集与分析;当前对脑电信号收集的方法是通过专业脑电设备将信号收集保存,再由专业软件处理;由于这类仪器非常昂贵,系统体积也比较大,软件更新快,现在只能用在科学研究上,根本无法用于有规模的实验教学,更不可能一人一机;为此,提出了一种基于LABVIEW的脑电信号虚拟采集系统设计方法,使脑电收集与分析可以广泛地应用于教学;该方法首先对脑电信号虚拟采集系统的硬件进行构造,然后以硬件构造为依据,利用AR模型功率谱估计对脑电信号进行特征提取,在特征提取过程中,对模型类型与模型系数算法以及模型最佳阶数进行分析,最后通过将二阶低通滤波器与二阶高通滤波器进行串联,形成4阶Bessel带通滤波器,实现脑电信号的滤波,并以脑电信号传输电路的设计完成脑电信号虚拟采集系统的设计;实验结果证明,所提方法可以快速地对脑电信号虚拟采集系统进行设计,并为该领域的研究发展提供支撑。