基于CEEMD-VMD-SIST算法的sEMG信号降噪方法

针对基于表面肌电信号(sEMG)的手势识别中,由于传统降噪算法对sEMG信号高频部分分解不当或存在频率混叠现象使得对含噪sEMG信号降噪效果不佳而导致手势识别精度大大降低的问题,提出使用基于互补集合经验模态分解(CEEMD)与变分模态分解(VMD)组合的滑动区间软阈值(SIST)降噪算法(CEEMD-VMD-SIST)对含噪sEMG信号进行降噪处理;使用CEEMD将含噪信号分解为从高频到低频的多个不同本征模态函数(IMF),根据自相关系数客观界定后续降噪模态分量范围,对选中的模态分量采用VMD的SIST方法进行分解降噪并与部分剩余模态分量进行重构;从实验结果中可以看出,在不同信噪比下,所提算法的降噪性能与传统降噪方法相比,信噪比与均方根误差均有明显改善,可以更大程度上保留信号的有用信息,即所提算法的降噪性能更佳。     

基于CEEMD小波包算法的降噪方法研究

针对脑电信号易受噪声干扰的特性,提出一种使用CEEMD小波包对脑电信号进行降噪的方法。首先对脑电信号进行CEEMD分解,得到一组固有模态函数分量（IMF）,然后对包含噪声的IMF分量采用小波包阈值降噪,同时保留信号的低频IMF分量,最后将使用小波包阈值降噪的IMF分量和保留的IMF分量进行累加重构,从而得到最终降噪后的脑电信号。仿真结果表明采用CEEMD小波包对脑电信号进行降噪,在抑制噪声的同时,还有效地保留了脑电信号的细节特性,达到良好的去噪特性。     

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。     

基于改进小波包阈值降噪的滚动轴承故障分析

具有非平稳特性的滚动轴承振动信号易受到外界噪声干扰,且传统的小波包硬、软阈值函数降噪方法无法根据信号中的噪声干扰情况自适应调节。因此,提出一种基于排列熵的改进小波包阈值降噪方法,并与自适应噪声的完整集成经验模态分解(CEEMDAN)相结合进行故障信号分析。首先,对采集的滚动轴承故障信号进行改进小波包阈值降噪处理,然后将降噪信号进行CEEMDAN处理,分解得到一系列固有模态分量(IMF),根据相关系数选择IMF,并作包络谱分析。最后对滚动轴承实际振动信号的故障分析,证明了此方法的有效性。     

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。     

矿用带式输送机驱动滚筒轴承振动信号降噪方法

针对现有振动信号降噪方法中经验模态分解存在模态混叠、独立分量分析要求采集的振动信号数不少于源信号数等问题,提出了一种基于集合经验模态分解(EEMD)和快速独立分量分析(FastICA)的矿用带式输送机驱动滚筒轴承振动信号降噪方法。首先,通过EEMD算法对采集的振动信号进行分解,得到若干不同尺度的包含故障特征频率的本征模态函数(IMF)分量;然后,基于相关系数对IMF分量进行重构,得到特征信号和虚拟噪声信号,将重构的特征信号和虚拟噪声信号组成输入矩阵,并作为FastICA算法的输入;最后,利用FastICA算法实现信号与噪声分离,达到信号降噪的目的。实验结果验证了该方法的可行性和有效性。     

一种结合自适应噪声完备经验模态分解和盲反卷积去除脑电中眼电伪迹的新方法

针对微弱的脑电（Electroencephalogram, EEG）信号在采集过程中夹杂着各种生理伪迹,特别易遭到眨眼和眼动产生的眼电（Electrooculography, EOG）伪迹干扰。本文提出在自适应噪声完备经验模态分解(Complete ensemble empirical mode decomposition with adaptive noise, CEEMDAN)的基础上,构建盲反卷积（Blind deconvolution, BD）模型,实现EOG伪迹分离的方法。该方法首先运用CEEMDAN方法将含有伪迹的EEG信号分解成若干固有模态函数（Intrinsic mode function, IMF）分量,再以模态分量为观测信号送入EEG信号和EOG伪迹两个源信号构成的盲反卷积模型中,通过构建代价函数迭代实现EEG信号与EOG伪迹分离。为了验证新提出的算法,采用标准CHB-MIT头皮脑电数据库进行实验验证,EOG伪迹分离后的数据跟原始脑电数据作相关性分析,其相关系数是0.82。结果证实本文提出的方法保留有大多数原始EEG信号分量,同时对EOG伪迹的分离也具有良好的效果。     

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VMD和小波阈值的ECG肌电干扰去噪处理

针对现有心电信号肌电干扰去噪方法的不足,本文提出利用变分模态分解和小波阈值相结合的方法对心电信号肌电干扰进行去噪处理,该方法通过对含噪心电信号进行变分模态分解,确定信号主导模态分量与噪声主导模态分量,噪声主导模态分量的小波阈值变换和重构无噪心电信号,共四步实现对含有肌电干扰的心电信号的去噪处理。其中,通过分析研究所有模态分量中心频率的分布,确定变分模态分解的层数,多组仿真与真实含噪心电信号的相关实验表明。本文所提出的去噪方法可有效去除心电信号中的肌电干扰,且去噪效果优于小波阈值法、变分模态分解法和经验模式分解法。     

多通道表面肌电信号降噪与去混迭研究

通过数据采集装置同时采集多路表面肌电信号(sEMG)时,信号之间往往存在相互混迭的现象。为了得到有效的sEMG,提出了一种基于二代小波变换和独立分量分析(ICA)相结合的降噪与去混迭方法。先利用二代小波变换对sEMG降噪再利用改进的FastICA算法对降噪后的信号进行ICA分离,最后通过互相关系数验证去混迭效果。实验结果表明,所提方法能够有效降低噪声并去除相邻通道间产生的混迭。     

表面肌电信号的降噪处理

表面肌电信号是一种易受多种噪声影响的生物电信号,其中以工频干扰、基线漂移、白噪声等干扰尤为严重.通过分析噪声干扰的特点,结合表面肌电信号特征,选取频谱插值法在频域内消除了工频干扰;利用形态学滤波的开闭运算得到基线漂移特征,从而滤除了基线漂移;基于经验模态分解(EMD)得到的本质模态函数分析消除了白噪声.实验结果表明:上述滤波方法在不损坏有用信号的前提下,可以实现较为满意的滤波效果.     

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。     

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.     

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的四边域曲面光顺算法

曲面光顺在计算机辅助几何设计（CAGD）中有重要应用,带噪声离散曲面可视为一种非平稳离散几何信号。经验模式分解（EMD）方法是分析非线性、非平稳信号的有效方法。提出了一种空间任意曲线EMD光顺方法和基于2维可分离的EMD曲面光顺方法。针对四边域离散曲面可视为U和V离散曲线构成的网格,且U和V曲线呈现空间任意形态。空间曲线光顺中,首先对数字曲线进行1维参数化,将曲线展开成1维信号;然后采用EMD对展开信号进行多分辨率分解,得到不同尺度下的内蕴模式函数(IMF),去除高频的IMF,重构信号;最后将重构信号逆映射回3维,得到光顺后的曲线。四边域曲面沿每条U,V线进行EMD光顺处理,得到光顺后曲面。实验结果表明,该方法可有效剔除曲面上的随机噪声,达到良好的曲面光顺效果。     

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。