基于EMD-DFA-NLM的电涡流传感器信号去噪方法

针对电涡流位移传感器输出信号中的非稳态噪声,提出一种基于经验模态分解(EMD) －去趋势分析(DFA)－非局部均值(NLM)原理的去噪方法。该方法解决了EMD去噪方法信号、噪声模态不易确定的问题,并且可在滤除高频背景噪声的同时保留信号细节。首先通过EMD将信号分解得到若干本征模态(IMF)分量,然后使用DFA区分噪声主导IMF分量和信号,主导的IMF分量,对噪声主导分量进行NLM去噪处理,最后与信号主导分量一起重构信号,分别对仿真信号和电涡流传感器输出信号进行去噪处理。结果表明,相较EMD去噪法和EMD－小波阈值去噪法,所提方法去噪性能更优SNR(MSE)值提升(减小)明显,去噪后信号的毛刺与高频震荡大大减少。     

基于经验模态分解和小波阈值的冲击信号去噪

冲击信号是非线性的并且容易受到噪声污染;为研究冲击信号去噪的问题,针对经验模态分解(Empirical Mode Decomposition,EMD)去噪和小波阈值去噪方法存在的不足,提出了基于EMD的小波阈值去噪方法;单纯的EMD去噪方法会在去除高频噪声的同时压制高频的有效信息;EMD与小波阈值去噪相结合,利用连续均方误差准则确定含噪较多的高频固有模态函数(Intrinsic Mode Function, IMF),对高频IMF分量进行小波阈值去噪,以分离并保留这些分量中的有效信息,同时保持低频IMF分量不变;对模拟数据和实际冲击信号进行去噪处理,结果表明,基于EMD的小波阈值去噪方法的去噪效果优于单纯的EMD去噪方法和小波阈值去噪方法。     

基于小波EMD的柴油机声信号去噪研究

柴油机声信号包含了丰富的运行状态信息,为了能有效地提取特征参数,需要对柴油机声信号进行去噪处理。针对传统小波阈值去噪和经验模态分解(EMD)去噪的不足,提出了一种将小波阈值与EMD相结合的去噪方法。借助EMD的自适应分解特性,在原始信号分解的基础上,利用相关系数法确定信号主导和噪声主导本征模函数(IMF)分量的分界点,将改进的小波阈值函数对噪声主导的IMF分量进行阈值去噪,再进行信号重构。仿真实验和实测结果表明,该方法去噪效果更优,适合非线性非平稳信号去噪,能够保留柴油机声信号的原貌特征。     

基于经验模态分解的小波阈值降噪方法研究

针对小波阈值降噪方法中小波基和阈值缺乏选取依据的缺陷,提出了一种基于经验模态分解(EMD)的小波阈值降噪方法。首先将带噪信号进行EMD分解得到一系列本征模态分量(IMF),仅对带噪的高频IMF分量进行小波阈值降噪处理,将处理结果与不含噪声的低频IMF分量进行信号还原得到降噪后信号。方法有效避免了直接小波阈值降噪高频分量损失的问题,同时还可直接去除信号中可能存在的趋势项,比直接小波阈值降噪具有更好的效果。仿真数据处理证明了方法的有效性。     

基于奇异谱分析的经验模态分解去噪方法

提出了一种基于奇异谱分析(SSA)的经验模态分解(EMD)去噪方法。该方法先对带噪信号进行EMD分解,得到若干个本征模态函数(IMF)。再通过SSA对每个IMF分量进行去噪处理:把第一个IMF分量作为高频噪声,并根据它计算出剩余IMF中所含的噪声能量,从而得到剩下的每个IMF中信号所占的能量比值。然后选择合适的窗口长度,对每个IMF进行SSA变换,根据IMF中信号所占的能量比值选择合适的奇异值分解(SVD)分量重构,得到去噪后的IMF。再将所有重构得到的IMF分量以及余项相加,得到最终去噪后的信号。经过实验,对比研究了该方法与小波软阈值、EMD软阈值和EMD滤波方法的去噪效果,结果表明该方法整体优于其它方法,是一种有效的信号去噪方法。     

基于CEEMD和小波包变换的重力数据信噪分离方法

为了有效地进行海洋重力测量数据的信噪分离,本文提出了基于互补总体经验模式分解(CEEMD)和小波包变换(WPT)的重力数据信噪分离方法。该方法利用CEEMD将海洋重力测量信号分解为从高频到低频的不同固有模式函数(IMF)分量以及趋势项,为进一步提取出各IMF分量中的有用重力信号,本文采用小波包变换对各IMF分量进行小波包分解降噪,最后将从各分量提取出的有用信号与趋势项进行信号重构,实现重力数据的信噪分离。本文通过仿真数据和实测数据对该方法进行了验证,结果表明本文提出的重力数据信噪分离方法能有效的抑制噪声干扰,保留有用的重力信号,实现较高精度的重力信号提取。     

基于EEMD和二代小波变换的表面肌电信号消噪方法

为了更好地消除混杂在表面肌电信号(sEMG)中的噪声,提出了一种基于总体平均经验模式分解(EEMD)和二代小波变换的sEMG消噪新方法。首先对信号加入白噪声处理后进行经验模态分解(EMD),然后对高频的内蕴模式函数(IMF)分量进行二代小波阈值消噪处理,最后把处理后的高频IMF分量与低频IMF分量进行叠加,重构后的信号即为去噪信号。实验结果表明,该方法融合了二代小波与EEMD的优点,能更好的消除噪声,最大限度的保留有用信号,并具有更高的信噪比。     

一种ECG信号肌电干扰去除方法的研究

实测心电(ECG)信号通常被多种因素干扰,尤其是肌电干扰的去除存在较大困难.本文提出一种结合经验模态分解法(EMD)与主成分分析(PCA)的消噪算法来去除ECG信号的肌电干扰.解决了通常采用小波算法和EMD等方法会导致ECG信号产生振荡和丢失有用信息的难题.本研究利用PCA对含噪信号经EMD分解后的内蕴模态函数(IMF)进行去噪处理,通过对MIT-BIH心电数据进行仿真,以及定性分析了信噪比(SNR)和均方误差(MSE).结果表明,ECG信号中的肌电干扰被有效去除,所提方法的消噪效果整体上优于小波去噪算法和EMD消噪算法,是一种有效的消噪方法.     

基于改进小波去噪和EMD方法的轴承故障诊断

将改进的小波阈值去噪与EMD分解相结合应用于轴承故障诊断中。该方法首先利用改进的小波阈值去噪法对原始信号进行去噪,然后采用EMD方法将去噪后的信号自适应地分解成一系列IMF分量之和,通过能量-相关系数法选取能够反映故障特征的IMF分量进行包络谱分析提取故障频率。实验结果表明该方法能够有效识别故障特征频率。     

基于EMD阈值方法的轴承故障振动信号去噪

针对随机噪声信号影响对有用信息的获取,提出了EMD分解阈值去噪方法,将小波阈值去噪原理应用于经验模态分解（Empirical Mode Decomposition,EMD）中。首先对实际含噪信号进行EMD分解,根据分解后得到的内蕴模态函数（Intrinsic Mode Function,简称IMF分量）,采用自适应阈值去噪,进行信号重构,得到消噪后的信号,获取有用信息。将该方法应用于实际工程故障振动信号中分析研究表明,该方法可以获得较高的信噪比,能够对实际信号进行有效的故障特征频率提取,降噪后比降噪前的诊断效果更明显。     

EMD与自适应滤波相结合的语音增强法

为了提高语音信号的信噪比,提出一种经验模态分解与自适应滤波相结合的语音增强法。对带噪语音进行经验模态分解,得到有限个固有模态函数,把所有的固有模态函数按顺序分成三组,将每一组所包含的固有模态函数叠加,得到三个子信号;对三个子信号进行自适应滤波,消除噪声;将降噪后的子信号重构得到增强后的语音。仿真实验表明,所提方法的语音增强效果优于自适应滤波。     

三维几何信号经验模式分解及其应用

针对三维几何信号非线性、非平稳的特点,提出基于经验模式分解的三维几何信号处理方法。将信号球面参数化,映射到平面,进行均匀规则采样。对平面信号进行限领域的经验模式分解,得到各个内蕴模式图层。从图层信号得到不规则的原始映射信号,逆映射回三维几何模型信号。将该方法用于几何模型的光顺及增强处理,实验结果表明,该方法能够有效处理三维几何信号。     

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.     

基于ICA和EMD的生理信号提取

提出一种新的获取人体生理参数的方法,用摄像头采集人脸的彩色视频,对人脸区域进行颜色通道分离和独立成分分析（ICA）,获取有用信号。使用经验模态分解（EMD）的方法,把信号分解成可以反映出生命信息的固有模态函数（IMF）,再根据所设计的提取准则,分别提取出较为准确的心跳和呼吸信号。用Bland-Altman法进行对比实验分析,结果表明,此方法具有一定的准确性和实用性。     

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.     

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。     

A HYBRID DEMAND FORECASTING MODEL BASED ON EMPIRICAL MODE DECOMPOSITION AND NEURAL NETWORK IN TFT-LCD INDUSTRY

Demand forecasting plays an important role in the thin-film transistor liquid crystal display (TFT-LCD) industry. A hybrid approach is proposed for demand forecasting by combining empirical mode decomposition (EMD) and neural networks. From the signal analysis point of view, demand can be considered as a nonlinear and nonstationary combination of different frequencies. Every demand can be represented by one or several frequencies. The process of the proposed approach first decomposes the historical demand data into a finite set of intrinsic mode functions (IMFs) and a residual through EMD. Then, these IMFs are input into a back-propagation neural network (BPN) and the corresponding demand is used to predict these IMFs. Finally, the demand is forecasted by summing the predicted IMFs. The results show that the proposed model outperforms the single BPN model without EMD preprocessing and the traditional autoregressive integrated moving average (ARIMA) models.     

EMD和CSP融合最优波长空间滤波脑电特征提取方法

基于经验模式分解和共空间模式,结合最优波长空间滤波,提出了三者相结合的特征提取方法。该方法首先利用经验模式分解进行分解,得到固有模态函数,选择合适的固有模态函数进行信号的重构,然后将重构的信号进行最优波长空间滤波变换,得到最优的波长选择信号,再经共空间模式投影映射,提取相应的特征向量,最后利用支持向量机进行分类。运用该方法对9位受试者进行分类结果分析,平均分类准确率在95%以上,实验表明,提出的算法具有较好的分类识别性。     

结合EMD和加权Mel倒谱的语音共振峰提取算法

提出了一种利用经验模态分解（Empirical Mode Decomposition,EMD）和加权Mel倒谱（Weighted Mel-Cepstrum coefficients,WMCEP）提取语音信号共振峰的算法。对语音信号进行EMD分解,找出含有共振峰的固有模态函数（Intrinsic Mode Function,IMF）,并将其重构得到一个新的重构语音信号。对重构语音信号进行加权Mel倒谱分析,获得包含频谱主要成分的加权Mel倒谱系数;利用离散余弦平滑算法,从加权Mel倒谱系数获得谱包络,并从谱包络的峰值位置获得候选共振峰;根据共振峰的连续性约束条件和频率范围,从候选共振峰筛选得到共振峰的估计值。实验结果表明,该算法比单独使用WMCEP提取的共振峰误差更小,而且在信噪比小于20 dB时仍然能够准确提取出共振峰。     

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.