改进EEMD算法在心电信号去噪中的应用

集合经验模态分解（Ensemble empirical mode decomposition,EEMD）方法在去除心电信号噪声时,噪声本征模态函数（Intrinsic mode function,IMF）分量难以选择且将噪声分量直接去掉会导致信号失真。针对上述问题,提出了一种基于EEMD的自适应阈值算法。首先对含噪心电图（Electrocardiogram,ECG）数据进行EEMD分解,得到IMF,根据马氏距离进行信号IMF分量和噪声IMF分量的判定,然后通过果蝇优化算法确定噪声IMF的阈值,将经过阈值去噪的新的分量和剩余分量重构得到去噪后的ECG。最后,使用MIT-BIH数据库中的心电数据进行实验,实验结果表明,该方法在去噪同时能够较好地保留信号细节。     

一种改进的二维经验模态分解图像消噪方法

在含噪图像的二维经验模态分解(BEMD)的基础上,从图像BEMD分解系数的统计特性出发,构造图像BEMD系数的概率密度函数模型,提出了一种基于相邻尺度间BEMD系数相关性的图像消噪方法,消噪的过程中同时考虑本层BEMD系数特性以及其父层BEMD系数的值.从而能更好地消除噪声,同时更有效地保留图像边缘、纹理等细节信息.实验结果表明,与经典的小波阈值消噪和BEMD阈值消噪算法相比,经本文方法消噪后图像质量有较好的提高,具有更低的均方误差和更高的峰值信噪比.     

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.     

利用EMD的自适应图像去噪

为了在去噪的同时保证图像细节尽可能不被破坏,提出了利用经验模式分解（Empirical Mode Decomposition,EMD）的自适应图像去噪方法。对噪声图像按照列、行、左对角和右对角方向一维展开,分别进行EMD处理,采用提出的基于噪声标准差的自适应阈值对各个基本模式函数（Intrinsic Mode Function,IMF）进行局部硬阈值去噪,将去噪后的IMF进行反变换分别获得按照四个方向展开对应的去噪后图像,将它们加和平均得到去噪后图像。实验结果表明,提出的方法能够有效地去除图像的噪声并保留足够的图像细节。     

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     

基于BEMD的图像去噪

通过研究图像信号去噪的原理和过程,提出一种基于BEMD的图像去噪算法.首先利用BEMD方法对图像信号进行分解,然后对分解结果的频谱特性进行选择性的去噪.针对噪声和图像信号混叠,采用一种选取的阀值优于软阀值或者硬阀值的方法.去噪结果能充分保留图像信号本身所固有的非平稳特征,并具有自适应强和灵活、有效的特点.实验证明,该算法是一种比小波去噪法更有效的图像信号去噪方法.     

一种在扩散加权图像降噪中的算法

扩散加权图像中的噪声为莱斯噪声并且图像本身含有丰富的边界信息,因而要求对DWI图像有效降噪的同时,能够较好地保留图像的边界信息。由于BEMD算法可将图像分解为细节图像及余项图像,其所分解的细节图像包括DWI图像的边界信息以及主噪声,而余项图像则描述图像的趋势信息。因此,提出一种将二维经验模态分解算法与改进的维纳滤波器相结合的降噪算法,并将该算法应用于DWI图像的降噪中。通过实验,将所提出的算法与其他算法应用于DWI图像的降噪处理,并通过对结果的分析比较证明所提出的算法能够更有效地对DWI图像进行降噪处理。     

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EEMD-RobustICA和Prony算法的谐波和间谐波检测方法

针对经验模态分解存在的模态混叠现象和Prony算法对噪声敏感的问题,将总体经验模态分解与鲁棒性独立分析法和Prony算法进行有机的结合,应用到谐波和间谐波的检测中。首先将含有噪声的谐波信号进行总体经验模态分解,得到不同阶数的固有模态函数,然后将其作为鲁棒性独立分量分析法的输入,对得到的独立分量进行软阈值去噪后进行逆变换得到重构后的固有模态函数,叠加得到去噪后的信号,最后用Prony算法对谐波和间谐波信号进行参数辨识,得到谐波和间谐波的参数。仿真结果表明,该方法具有较好的抗噪性,克服了Prony算法对噪声敏感的缺点,有效地提高了谐波和间谐波检测的精度。     

A novel intelligent denoising method of ecg signals based on wavelet adaptive threshold and mathematical morphology

Due to high-frequency noise and low-frequency noise in ECG signals will interfere with the accurate diagnosis of cardiovascular diseases. With the intrinsic mode function (IMF), which is the main component indicators of high-frequency noise and low-frequency noise, this paper proposes an intelligent denoising method of ECG signals based on wavelet adaptive threshold and mathematical morphology. Firstly, this method performs Complete Ensemble Empirical Mode Decomposition with Adaptive Noise (CEEMDAN) for signals containing noise, and adopts zero-crossing rate to identify IMFs containing high-frequency noise and low-frequency noise. Secondly, according to the discreteness and randomness of IMF containing high-frequency noise, a wavelet adaptive threshold mathematical model is constructed. In this model, with the signal-to-noise ratio (SNR) improvement as the threshold adjustment parameter, the wavelet threshold is modified by niche genetic algorithm, and the optimal solution is obtained after removing high-frequency noise by wavelet decomposition and reconstruction. The waveform of IMF containing low-frequency noise changes slowly and its amplitude is large and it is difficult to remove low-frequency noise. Therefore, mathematical morphology is used to remove low-frequency noise. Finally, the intelligent denoising method of ECG signals is designed by superimposing denoised IMFs. MIT-BIH experiments show that in the process of removing high-frequency noise and low-frequency noise, compared with other denoising methods, the percent root mean square difference (PRD) and SNR improvement of the method proposed in this paper are improved, and the denoising effect is significant, which can provide expert knowledge and decision-making guidance for related application fields.

     

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。     

基于麦克风阵列声音信号定位方法的研究

提出了一种在嘈杂环境下利用麦克风阵列对声音信号定位的方法。该方法对每个麦克风采集的声音信号进行经验模态分解,然后根据各个IMF信号的归一化能量挑选出主要的IMF分量进行信号重构,从而实现对信号进行降噪处理。将降噪后的信号使用互功率谱相位法进行相关运算,计算出不同麦克风声音信号出现的时间差异。根据信号时延和麦克风之间的几何位置关系计算出声音信号的位置。为了验证本文所提出的定位算法,进行了语音信号定位实验,通过实验实测的数据分析对比分析,验证了本文提出的方法比传统的定位算法要优越。     

基于EMD和SST算法的闪电电场信号去噪研究

为进一步减少噪声对闪电电场信号的干扰,提出了一种经验模态分解(EMD)和同步压缩小波变换(SST)相结合的组合去噪方法。利用EMD算法能够自适应分解信号和SST算法可将噪声压缩为点状噪声或颗粒状噪声并集中分布的特点,从而选用中值滤波达到对噪声的抑制。利用该方法对标准闪电波和自然闪电波信号分别进行去噪处理,并运用信噪比、相关系数和均方误差对去噪效果进行了定量分析。实验结果表明,所提去噪方法相比于传统小波阈值去噪法、单独用EMD算法和单独用SST算法均取得了较好的去噪效果。     

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。     

基于快速离散曲波变换的图像去噪算法

Curvelet变换可以更好地表示曲线奇异函数的异向性及图像边缘,因此更适合于多尺度图像去噪。针对传统阈值法存在的不足,在分析wrapping方法的快速离散曲波变换基础上,提出结合Cycle Spinning循环平移方法的菱形块阈值规则去噪法,并自适应地对不同的Curvelet子块进行阈值化。该方法可以消除由于Curvelet变换缺乏平移不变性而产生的图像失真,并且更好地利用曲波系数的相关性。实验结果表明,该方法与传统的小波去噪、曲波硬阈值去噪、曲波软阈值去噪、曲波软硬阈值折中法去噪相比,使得去噪图像的峰值信噪比更高,视觉效果更好。     

Visual enhancement of digital ultrasound images using multiscale wavelet domain

Ultrasonography has been considered as one of the most powerful techniques for imaging organs and soft tissue structures in the human body. The main disadvantage of medical ultrasonography is the poor quality of images, which are affected by multiplicative speckle noise. In this paper, we present a novel method for despeckling medical ultrasound images. The primary goal of speckle reduction is to remove the speckle without losing much detail contained in an image. To achieve this goal, we make use of the wavelet transform and apply multi-resolution analysis to localize an image into different frequency components or useful subbands and then effectively reduce the speckle in the subbands according to the local statistics within the bands. The main advantage of the wavelet transform is that the image fidelity after reconstruction is visually lossless. The objective of the paper is to investigate the proper selection of wavelet filters and thresholding schemes which yields optimal visual enhancement of ultrasound images, in particular. We employ the wavelet shrinkage denoising techniques with different wavelet bases and decomposition levels on the individual subbands to achieve the best acceptable speckle reduction while maintaining the fidelity of the image and also examine the effects of different thresholding techniques as well as shrinkage rules for denoising ultrasound images. The proposed method consists of the log transformed original ultrasound image being subjected to wavelet transform, which is then denoised by a thresholding technique using a shrinkage rule. Experimental results show that the subband decomposition of ultrasound images, using Bior6.8 and level 3 with soft thresholding based on Bayes shrinkage rule, performs better than other techniques. The performance is measured in terms of Variance, Mean Square Error (MSE), Signal-to-Noise Ratio (SNR), Peak SNR (PSNR) and Correlation Coefficient (CC). The results of wavelet shrinkage techniques are compared with common speckle filters. We observe that the proposed method achieves better visual enhancement of ultrasound images which would lead to more accurate image analysis by the medical experts.     

Image quality based comparative evaluation of wavelet filters in ultrasound speckle reduction

This paper presents the comparative study of various wavelet filter based denoising methods according to different thresholding values applied to ultrasound images. An original image is transformed into a multi scale wavelet domain and the wavelet coefficients are processed by a soft thresholding method. The denoised image is the output image obtained from the inverse wavelet transform of the threshold coefficients using Donoho's method. It has been observed that such denoising methods are effective in the sense that they preserve the edge details besides suppressing the noise. The comparative evaluation of the denoising performance is shown using statistical significance tests for different wavelet filters. Image quality parameters such as peak signal-to-noise ratio, normalized mean square error, and correlation coefficient have been used to evaluate the performance of wavelet filters. The performance has also been compared with the adaptive weighted median filtering method.     

一种基于图像区域分割的小波去噪方法

提出一种基于区域分割的图像去噪方法。该方法利用具有平移不变性的DWT去噪法和NeighShrink_ SURE去噪法对平滑图像和纹理图像分别具有良好去噪效果,遂将含噪图像进行区域分割得到平滑、突变和过渡三个区域,最终去噪图像的三个区域分别由两种方法得到的去噪图像加权来确定。实验结果显示,该方法利用了前两种算法的优点,得到了具有较高峰值信噪比、较完整保留图像细节而且具有更佳视觉效果的去噪图像。     

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CEEMD-VMD-SIST算法的sEMG信号降噪方法

实验研究表明,在基于表面肌电信号的手势识别中,由于噪声的存在,识别精度会大大降低;然而,传统的去噪方法由于对高频部分分解不当或模态混叠等问题暴露出缺点;针对传统表面肌电(sEMG)信号降噪方法对高频部分分解不当或频率混叠而导致降噪效果不佳,提出了一种基于互补集合经验模态分解(CEEMD)与变分模态分解(VMD)的滑动区间软阈值(SIST)降噪组合算法(CEEMD-VMD-SIST);首先,通过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),并根据自相关系数客观界定信号的模态分量范围;然后,对选中的模态分量采用VMD的滑动区间软阈值方法进行分解降噪并与部分剩余模态分量进行重构;实验表明,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。