A novel noise reduction technique for underwater acoustic signals based on complete ensemble empirical mode decomposition with adaptive noise,minimum mean square variance criterion and least mean square adaptive filter

Underwater acoustic signal processing is one of the research hotspots in underwater acoustics.Noise reduction of underwater acoustic signals is the key to underwater acoustic signal processing.Owing to the complexity of marine environment and the particularity of underwater acoustic channel,noise reduction of underwater acoustic signals has always been a difficult challenge in the field of underwater acoustic signal processing.In order to solve the dilemma,we proposed a novel noise reduction technique for underwater acoustic signals based on complete ensemble empirical mode decomposition with adaptive noise(CEEMDAN),minimum mean square variance criterion(MMSVC) and least mean square adaptive filter(LMSAF).This noise reduction technique,named CEEMDAN-MMSVC-LMSAF,has three main advantages:(i) as an improved algorithm of empirical mode decomposition(EMD) and ensemble EMD(EEMD),CEEMDAN can better suppress mode mixing,and can avoid selecting the number of decomposition in variational mode decomposition(VMD);(ii) MMSVC can identify noisy intrinsic mode function(IMF),and can avoid selecting thresholds of different permutation entropies;(iii) for noise reduction of noisy IMFs,LMSAF overcomes the selection of deco mposition number and basis function for wavelet noise reduction.Firstly,CEEMDAN decomposes the original signal into IMFs,which can be divided into noisy IMFs and real IMFs.Then,MMSVC and LMSAF are used to detect identify noisy IMFs and remove noise components from noisy IMFs.Finally,both denoised noisy IMFs and real IMFs are reconstructed and the final denoised signal is obtained.Compared with other noise reduction techniques,the validity of CEEMDAN-MMSVC-LMSAF can be proved by the analysis of simulation signals and real underwater acoustic signals,which has the better noise reduction effect and has practical application value.CEEMDAN-MMSVC-LMSAF also provides a reliable basis for the detection,feature extraction,classification and recognition of underwater acoustic signals.

Study on the Improvement of the Application of Complete Ensemble Empirical Mode Decomposition with Adaptive Noise in Hydrology Based on RBFNN Data Extension Technology

The complex nonlinear and non-stationary features exhibited in hydrologic sequences make hydrological analysis and forecasting difficult.Currently,some hydrologists employ the complete ensemble empirical mode decomposition with adaptive noise(CEEMDAN)method,a new time-frequency analysis method based on the empirical mode decomposition(EMD)algorithm,to decompose non-stationary raw data in order to obtain relatively stationary components for further study.However,the endpoint effect in CEEMDAN is often neglected,which can lead to decomposition errors that reduce the accuracy of the research results.In this study,we processed an original runoff sequence using the radial basis function neural network(RBFNN)technique to obtain the extension sequence before utilizing CEEMDAN decomposition.Then,we compared the decomposition results of the original sequence,RBFNN extension sequence,and standard sequence to investigate the influence of the endpoint effect and RBFNN extension on the CEEMDAN method.The results indicated that the RBFNN extension technique effectively reduced the error of medium and low frequency components caused by the endpoint effect.At both ends of the components,the extension sequence more accurately reflected the true fluctuation characteristics and variation trends.These advances are of great significance to the subsequent study of hydrology.Therefore,the CEEMDAN method,combined with an appropriate extension of the original runoff series,can more precisely determine multi-time scale characteristics,and provide a credible basis for the analysis of hydrologic time series and hydrological forecasting.

Effective forecast of Northeast Pacific sea surface temperature based on a complementary ensemble empirical mode decomposition–support vector machine method

海洋表面温度(sea surface temperature,SST)对气候有着很大影响,但其所具有的非线性、无明显周期、强随机性等特点,给SST预测分析带来了很大的困难。本文将互补集合经验模态分解(complementary ensemble empirical mode decomposition,CEEMD)与支持向量机(support vector machine,SVM)相结合来研究对海洋表面温度异常(SSTA)的预报,并从预报准确性、可预报时长、不同起报时间对预报精度影响等方面设计了多组数值实验。实验结果显示CEEMDSVM方法预测12个月SSTA的效果较好,平均绝对误差在0.3°C左右,相关系数达到了0.85,而且试验中未出现春季预报障碍问题。

A hybrid approach based on complete ensemble empirical mode decomposition with adaptive noise for multi-step-ahead solar radiation forecasting

Accurate measurements of solar radiation are required to ensure that power and energy systems continue to function effectively and securely.On the other hand,estimating it is extremely challenging due to the non-stationary behaviour and randomness of its components.In this research,a novel hybrid forecasting model,namely complete ensemble empirical mode decomposition with adaptive noise-Gaussian process regression(CEEMDAN-GPR),has been developed for daily global solar radiation prediction.The non-stationary global solar radiation series is transformed by CEEMDAN into regular subsets.After that,the GPR model uses these subsets as inputs to perform its prediction.According to the results of this research,the performance of the developed hybrid model is superior to two widely used hybrid models for solar radiation forecasting,namely wavelet-GPR and wavelet packet-GPR,in terms of mean square error,root mean square error,coefficient of determination and relative root mean square error values,which reached 3.23 MJ/m^(2)/day,1.80 MJ/m^(2)/day,95.56%,and 8.80%,respectively(for one-step forward forecasting).The proposed hybrid model can be used to ensure the safe and reliable operation of the electricity system.

Missing interpolation model for wind power data based on the improved CEEMDAN method and generative adversarial interpolation network

Randomness and fluctuations in wind power output may cause changes in important parameters(e.g.,grid frequency and voltage),which in turn affect the stable operation of a power system.However,owing to external factors(such as weather),there are often various anomalies in wind power data,such as missing numerical values and unreasonable data.This significantly affects the accuracy of wind power generation predictions and operational decisions.Therefore,developing and applying reliable wind power interpolation methods is important for promoting the sustainable development of the wind power industry.In this study,the causes of abnormal data in wind power generation were first analyzed from a practical perspective.Second,an improved complete ensemble empirical mode decomposition with adaptive noise(ICEEMDAN)method with a generative adversarial interpolation network(GAIN)network was proposed to preprocess wind power generation and interpolate missing wind power generation sub-components.Finally,a complete wind power generation time series was reconstructed.Compared to traditional methods,the proposed ICEEMDAN-GAIN combination interpolation model has a higher interpolation accuracy and can effectively reduce the error impact caused by wind power generation sequence fluctuations.

Prediction of seawater pH by bidirectional gated recurrent neural network with attention under phase space reconstruction:case study of the coastal waters of Beihai,China

Marine life is very sensitive to changes in pH.Even slight changes can cause ecosystems to collapse.Therefore,understanding the future pH of seawater is of great significance for the protection of the marine environment.At present,the monitoring method of seawater pH has been matured.However,how to accurately predict future changes has been lacking effective solutions.Based on this,the model of bidirectional gated recurrent neural network with multi-headed self-attention based on improved complete ensemble empirical mode decomposition with adaptive noise combined with phase space reconstruction(ICPBGA)is proposed to achieve seawater pH prediction.To verify the validity of this model,pH data of two monitoring sites in the coastal sea area of Beihai,China are selected to verify the effect.At the same time,the ICPBGA model is compared with other excellent models for predicting chaotic time series,and root mean square error(RMSE),mean absolute error(MAE),mean absolute percentage error(MAPE),and coefficient of determination(R2)are used as performance evaluation indicators.The R2 of the ICPBGA model at Sites 1 and 2 are above 0.9,and the prediction errors are also the smallest.The results show that the ICPBGA model has a wide range of applicability and the most satisfactory prediction effect.The prediction method in this paper can be further expanded and used to predict other marine environmental indicators.

混合策略在水泥窑炉煅烧NO_(x)浓度预测中的应用

NO_(x)体积分数是反映水泥窑炉煅烧过程中氮排放的一个关键环保指标。水泥煅烧过程具有大噪声、大时滞和非线性等复杂特性。为了解决以上难点,提出基于互补集合经验模态分解(Complemementary Ensemble Empirical Mode Decomposition,CEEMD)、熵原理的互信息(Mutual Information,MI)、最大相关最小冗余算法(Max-Relevance and Min-Redundancy,mRMR)和天牛须搜索算法(Beetle Antennae Search,BAS)优化神经网络(Back Propagation Neural Network,BPNN)的混合策略,并用于NO_(x)体积分数预测。首先,CEEMD和中值平均滤波用于处理大噪声。同时,利用熵原理的MI和mRMR进行时滞分析和变量选择,解决大时滞问题。其次,利用BAS提高多层前馈(Back Propagation,BP)神经网络的预测能力,并解决非线性工况问题。最后,将该策略进行工业应用。结果显示,在25900个工业测试样本中,两组的均方根误差(Root Mean Squared Error,RMSE)和平均绝对误差(Mean Absolute Error,MAE)分别仅为0.3024、0.2059和0.2153、0.2013。预测模型结果可指导水泥脱硝操作人员精准喷氨,减少NO_(x)排放并降低氨水用量和氨逃逸情况。

白条猪价格预测模型构建

【目的】增强农产品价格预测准确度,为农产品价格的有效预测提供参考。【方法】以河南省白条猪每周平均批发价格为研究对象,提出一种基于序列分解、主成分分析和神经网络(CEEMDAN-PCA-CNN-LSTM)的白条猪价格预测方法。首先,使用自适应白噪声完全集合模态分解方法(CEEMDAN)对白条猪价格序列进行分解;其次,选用皮尔逊相关系数筛选影响价格波动的相关因素;再次,利用主成分分析(PCA)对影响因素及分解得到的子序列降维处理并作为原始价格序列的特征值,并行输入到作为编码器的卷积神经网络(CNN)中进行特征提取;最后,引入长短期记忆网络(LSTM)作为解码器输出得到预测结果。将该方法应用于河南省白条猪每周平均价格数据,与LSTM、门控循环单元(GRU)、CNN、基于卷积的长短期记忆网络(ConvLSTM)模型进行比较。【结果】CEEMDAN-PCA-CNN-LSTM组合模型预测方法得到的平均绝对误差分别降低了44.95%、27.30%、28.13%、43.17%。【结论】CEEMDAN-PCA-CNN-LSTM模型对于河南省白条猪市场价格的预测性能更优,有助于相关部门针对河南省白条猪价格波动做出科学决策。

一种灰色关联分析优化ICEEMDAN的VP倾斜仪信号降噪模型

VP倾斜仪固体潮信号受仪器监测复杂环境限制,多含有大量环境噪声。为获得真实固体潮曲线,提出一种基于灰色关联分析优化改进的自适应噪声完备集合经验模态分解(ICEEMDAN)VP倾斜仪信号降噪模型(GRA-ICEEMDAN)。该方法首先将含噪信号进行ICCEMDAN处理,得到若干个固有模态函数(IMF),并依次排列与标记;然后基于这些IMF分别计算相关系数、互信息、R^(2)、Adj-R^(2)、MSE、SSE、RMSE、MAE、MAPE、样本熵等10个评价指标值,构建IMF可信度评价指标矩阵;最后借助灰色关联分析(GRA)计算各评价指标与不同IMF之间的关联系数和关联度,依据关联度大小对各个IMF进行排序,将排名靠前的IMF进行线性重构,即可完成信号降噪。仿真去噪实验和实测去噪实验均表明,GRA-ICEEMDAN模型优于卡尔曼滤波、70阶低通FIR滤波、Savitzky-Golay等经典降噪模型,能显著区分噪声成分和有效成分,原始信号分解后的重构误差与信号损失极小,可推广至其他仪器的复杂信号降噪中。

基于CEEMD-SE的CNN&LSTM-GRU短期风电功率预测

为进一步提升短期风电功率的预测精度,提出了一种基于互补集合经验模态分解-样本熵(complementary ensemble empirical mode decomposition-sample entropy,CEEMD-SE)的卷积神经网络(convolutional neural network,CNN)和长短期记忆-门控循环单元(longshorttermmemory-gatedrecurrentunit,LSTM-GRU)的短期风电功率预测模型。首先,利用互补集合经验模态分解将原始风电功率序列分解为若干本征模态函数(intrinsic mode function,IMF)分量和一个残差(residual,RES)分量,利用样本熵算法将相近的分量进行重构;其次,搭建卷积神经网络和长短期记忆网络的并行网络结构,提取数据的局部特征和时序特征,并将特征融合后输入门控循环单元网络中进行学习预测;最后,通过算例进行验证,结果表明采用该模型后预测精度得到了有效提升,其均方根误差降低了15.06%、平均绝对误差降低了15.22%、决定系数提高了1.91%。

CEEMDAN-WPE-CLSA超短期风电功率预测方法研究

提出了一种结合自适应噪声完全集合经验模态分解、加权排列熵、卷积神经网络、长短期记忆网络和自注意力机制的超短期风电功率预测方法。首先,利用自适应噪声完全集合经验模态分解将原始风电功率时间序列自适应分解为一系列的模态分量,降低原始序列的非线性和波动性;其次,根据加权排列熵计算各模态分量间的相似性并对相似的分量进行重组,以修正自适应噪声完全集合经验模态分解的过度分解问题,使得修正后的模态分量更具规律性;最后,将重组后的分量输入卷积长短期记忆网络进行时序建模,并利用自注意力机制对卷积长短期记忆网络的神经元权重进行重新分配,提高了卷积长短期记忆网络对输入特征不确定性的适应能力。在此基础上,明确了自注意力机制和自适应噪声完全集合经验模态分解、加权排列熵在风电功率预测中的作用机制,以及风电功率信号包含的重要物理信息,证明了自适应噪声完全集合经验模态分解、加权排列熵以及自注意力机制在风电功率信号模态分解和长短期记忆网络隐层输出权重分配中的有效性。

CEEMDAN和盲源分离在轴承复合故障诊断中的应用

滚动轴承的复合故障信号中往往含有多个特征信息及背景噪声,为更高效实现故障信息的提取,提出一种基于具有自适应白噪声的完备集成经验模态分解(CEEMDAN)和盲源分离的滚动轴承复合故障特征提取方法。对实验所获取的故障数据进行CEEMDAN分解,得出一组固有模态函数(IMF),利用加权峭度因子选取其中有效IMF重构信号,再将重构的信号进行BSS分离。对分离出的信号做解调包络分析,从其解调谱中提取故障信号的特征频率。结果证明了此方法可以有效地分离轴承的内外圈故障,使故障特征更易被提取。

声波法在输油管道上的可检测泄漏率分析

为了确保输油管道出现泄漏时能够及时检测到泄漏,对声波法在输油管道上的可检测泄漏率进行了分析。首先,建立了声波产生和传播衰减模型,根据模型分析了声波在管道内的衰减性,得到管道两端声波衰减幅值的计算方法;其次,采用基于互信息优化的自适应噪声完备集合经验模态分解(complete ensemble empirical mode decomposition with adaptive noise,简称CEEMDAN)和互谱分析相结合的去噪算法对采集的信号进行去噪,并实验验证了衰减模型可准确估计声波的衰减幅值,去噪算法可以有效消除信号中的噪声;最后,分析了管道特性与声波法在输油管道上的可检测泄漏率之间的关系。研究表明,管道特性在一定程度上决定了声波法的可检测泄漏率,声波法在输油管道上的最小可检测泄漏率可达0.45%。

基于ICEEMDAN和分布熵的SS-Y伸缩仪信号随机噪声压制方法

结合改进的自适应噪声完备集合经验模态分解(ICEEMDAN)与分布熵(DistEn),提出一种无需自定义算法参数、去噪效果较好的伸缩仪信号随机噪声压制方法。首先将伸缩仪信号进行ICEEMDAN处理,得到若干个本征模态函数(IMF);然后计算各IMF分量的分布熵值,根据不同分布熵值的大小和表征的分量信号混乱程度,有针对性地对各IMF进行取舍;最后进行线性重构。设计仿真信号去噪实验和SS-Y伸缩仪信号去噪实验,结果表明,基于ICEEMDAN-DistEn去噪模型的伸缩仪信号重构还原度较好,去噪效果显著,明显优于CEEMDAN-DistEn、小波去噪和卡尔曼滤波等去噪模型。

基于ES-ALPF的行星齿轮箱故障特征提取方法研究

针对行星齿轮箱故障初期特征提取困难的问题,提出了一种基于聚合经验模态分解(Ensemble Empirical Mode Decomposition, EEMD)、奇异谱分析(Singular Spectrum Analysis, SSA)与自适应线性预测滤波(Adaptive Linear Prediction Filtering, ALPF)结合的故障初期特征自适应提取方法。首先,利用EEMD预处理采集的振动信号,得到本征模态函数(Intrinsic Module Function, IMF)分量。其次,根据能量比选取IMFs重构信号。然后,利用SSA增强重构信号的非线性特征。之后,利用基于谱估计的自适应线性预测方法对非线性最突出的频段进行自适应线性滤波。最后,提取滤波后的信号包络,进行傅里叶变换,提取得到故障初期的微弱特征。在行星齿轮箱故障诊断试验台上进行了试验,所提方法与传统的基于EEMD-SSA的包络分析进行了对比,结果验证了该方法的有效性。

基于CEEMDAN-AsyHyperBand-MultiTCN的短期风电功率预测

为减少风电功率短期预测误差,提高风电利用效率,提出一种基于经验模态分解和异步超参数优化的多层时间卷积网络(CEEMDAN-AsyHyperBand-MultiTCN)的短期风电功率预测方法。首先,确定序列分量的数量,并使用自适应噪声完备集合经验模态分解(CEEMDAN)对原始风电功率进行分解,构成训练数据集。其次,使用深度残差级联(DRnet)构建多层的时间卷积网络(TCN),并使用AsyHyperband算法对序列分量模型进行超参数寻优。最后,对序列分量分别进行预测,重构预测结果得到预测值。实验表明,该文提出的方法相比于其他方法能有效降低风电功率预测误差。

一种添加部分自适应噪声的集成经验模态分解方法

为了解决集成经验模态分解(EEMD)及其改进形式中普遍存在的噪声量和计算量需求大的问题,统计分析了白噪声内涵模态函数(IMF)的极值点和能量变化规律,总结出白噪声IMF极值点数随长度和阶数变化的经验公式。发现白噪声的高阶IMF不能有效调整信号的极值点分布,提出添加部分自适应噪声的集成经验模态分解(EEMDPAN)。相比于自适应噪声完全集成经验模态分解(CEEMDAN),EEMDPAN有2点改进:不使用全部独立的自适应噪声,而使用成对相加为0的互补自适应噪声;不添加全部阶的自适应噪声,而是在中间的某一阶停止,而后使用经典EMD方法。对2个人工信号进行分解,实验证明,EEMDPAN很好地继承了EEMD抑制模态混叠的能力,相比于CEEMDAN,计算量降低至1/3,并且分解结果的低阶成分信号附加噪声更小,高阶成分信号可信度更高。

基于多域信息融合与深度分离卷积的轴承故障诊断网络模型

针对传统卷积神经网络(CNN)对滚动轴承振动信号的故障识别准确率不高这一问题,提出了一种基于多域信息融合结合深度分离卷积(MDIDSC)的轴承故障诊断方法。首先,利用自适应噪声的完全集合经验模态分解(CEEMDAN)算法对轴承振动信号进行了分解;然后,利用分解出的本征模态函数(IMF)的各个分量构建了多空间状态矩阵,并将该多空间状态矩阵输入该深度分离卷积模型中,进行了卷积训练;同时,在该深度分离卷积模型中添加了残差结构,对数据特征进行了复利用,并对卷积核进行了深度分离,解决了深度模型的网络退化问题;最后,提出了一种空间特征提取方法,对模型参数进行了修剪,采用一种自适应学习率退火方法进行了梯度优化,以避免模型陷入局部最优。研究结果表明:通过对多个轴承故障数据集进行对比分析可知,MDIDSC在轴承故障诊断方面的准确率和稳定性明显优于其他方法,MDIDSC的最高测试准确率为100%,平均测试准确率为99.07%;同时,在测试集中的最大损失和平均损失分别为0.1345和0.0841;该结果表明MDIDSC在轴承故障诊断方面具有一定的优越性。

基于改进鲸鱼算法的数字助听器回声消除方法

在数字助听器应用中,回声消除能力是检验助听器效果的标准之一。针对回声消除算法中自适应滤波器权重设置主观性较强以及实际语音信号波动性较大导致数字助听器回声消除精度不高的问题,提出了一种结合集合经验模态分解(EEMD)方法及鲸鱼算法(WOA)的最小均方误差算法(LMS)。该新方法在鲸鱼算法的基础上引入集合经验模态分解方法,采用集合经验模态分解方法将采集到的语音信号分解为若干个平稳的子序列,运用鲸鱼算法收敛速度较快的特点帮助自适应滤波器更快找到更适宜的权重,对自适应滤波器进行权重向量的优化,从而建立EEMD-WOA-LMS模型,通过回声消除效果的常用性能指标对所提方法进行验证。仿真实验表明,将改进方法与WOA-LMS算法相比,能获得较快的收敛速度和较低的失调量,并且均方误差有所降低,失调量降低了0.73 dB,回声损失值提升了2.87 dB,验证了EEMD-WOA-LMS算法的回声消除能力更优。

一种基于CEEMDAN-CPELM的池塘溶解氧预测模型研究

针对集约化水产养殖中水体溶解氧时间序列非线性、非稳定性特征导致的溶解氧预测模型构建难度大、预测精度不高的问题,提出一种基于自适应完备集合经验模态分解-聚类重构结构的偏最小二乘优化极限学习机溶解氧预测模型(CEEMDAN-CPELM)。采用CEEMDAN方法将溶解氧数据流分解为不同频率的模态分量,并依据各分量的模糊熵值评估各分量的复杂度,利用K-medoids方法将所有分量按照模糊熵复杂度进行聚类,实现数据的分解-重构过程,降低溶解氧预测的难度;再利用偏最小二乘算法对极限学习机进行优化,提高模型的预测性能。最后,将CEEMDAN-CPELM模型应用到常熟养殖试验基地的水体溶解氧预测中。试验结果表明:基于CEEMDAN-CPELM的溶解氧预测模型的预测均方根误差值为0.959,明显低于GA-SELM、LSSVM和ELM等对比模型,验证了该预测模型的可行性和有效性。